Pass -mbmi2 to gcc

This will hopefully fix the issue where travis gcc complains about not
being able to inline mulx.  I hope.

461 files changed, 918 insertions, 918 deletions

diff --git a/src/Specific/CurveParameters/montgomery32_2e127m1_4limbs.json b/src/Specific/CurveParameters/montgomery32_2e127m1_4limbs.json
index 715e0bc39..56bd8c3f6 100644
--- a/src/Specific/CurveParameters/montgomery32_2e127m1_4limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e127m1_4limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='16' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<127) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='16' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<127) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='16' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<127) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='16' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<127) - 1'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e129m25_5limbs.json b/src/Specific/CurveParameters/montgomery32_2e129m25_5limbs.json
index f8ae5eb06..f85879542 100644
--- a/src/Specific/CurveParameters/montgomery32_2e129m25_5limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e129m25_5limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<129) - 25'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<129) - 25'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<129) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<129) - 25'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e130m5_5limbs.json b/src/Specific/CurveParameters/montgomery32_2e130m5_5limbs.json
index 6e0f47327..3dbf93da1 100644
--- a/src/Specific/CurveParameters/montgomery32_2e130m5_5limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e130m5_5limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<130) - 5'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<130) - 5'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<130) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<130) - 5'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e137m13_5limbs.json b/src/Specific/CurveParameters/montgomery32_2e137m13_5limbs.json
index 4d312b8fa..c4f236c33 100644
--- a/src/Specific/CurveParameters/montgomery32_2e137m13_5limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e137m13_5limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf3}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<137) - 13'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf3}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<137) - 13'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf3}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<137) - 13'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf3}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<137) - 13'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e140m27_5limbs.json b/src/Specific/CurveParameters/montgomery32_2e140m27_5limbs.json
index 150fa013f..43bf4b1e4 100644
--- a/src/Specific/CurveParameters/montgomery32_2e140m27_5limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e140m27_5limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<140) - 27'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<140) - 27'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<140) - 27'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<140) - 27'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e141m9_5limbs.json b/src/Specific/CurveParameters/montgomery32_2e141m9_5limbs.json
index a4ae14575..62cf47bae 100644
--- a/src/Specific/CurveParameters/montgomery32_2e141m9_5limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e141m9_5limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<141) - 9'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<141) - 9'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<141) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<141) - 9'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e150m3_5limbs.json b/src/Specific/CurveParameters/montgomery32_2e150m3_5limbs.json
index 622102aaf..9bec46e04 100644
--- a/src/Specific/CurveParameters/montgomery32_2e150m3_5limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e150m3_5limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<150) - 3'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<150) - 3'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<150) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<150) - 3'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e150m5_5limbs.json b/src/Specific/CurveParameters/montgomery32_2e150m5_5limbs.json
index e30fac367..4bd9560dc 100644
--- a/src/Specific/CurveParameters/montgomery32_2e150m5_5limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e150m5_5limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<150) - 5'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<150) - 5'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<150) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<150) - 5'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e152m17_5limbs.json b/src/Specific/CurveParameters/montgomery32_2e152m17_5limbs.json
index df812a98c..e92d54055 100644
--- a/src/Specific/CurveParameters/montgomery32_2e152m17_5limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e152m17_5limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<152) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<152) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<152) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<152) - 17'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e158m15_5limbs.json b/src/Specific/CurveParameters/montgomery32_2e158m15_5limbs.json
index 3589a75f1..8f8a15f1b 100644
--- a/src/Specific/CurveParameters/montgomery32_2e158m15_5limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e158m15_5limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='20' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<158) - 15'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='20' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<158) - 15'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='20' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<158) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='20' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<158) - 15'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e165m25_6limbs.json b/src/Specific/CurveParameters/montgomery32_2e165m25_6limbs.json
index 062897823..c7b6c49e4 100644
--- a/src/Specific/CurveParameters/montgomery32_2e165m25_6limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e165m25_6limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<165) - 25'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<165) - 25'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<165) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<165) - 25'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e166m5_6limbs.json b/src/Specific/CurveParameters/montgomery32_2e166m5_6limbs.json
index cf122fa0b..2582b7077 100644
--- a/src/Specific/CurveParameters/montgomery32_2e166m5_6limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e166m5_6limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<166) - 5'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<166) - 5'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<166) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<166) - 5'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e171m19_6limbs.json b/src/Specific/CurveParameters/montgomery32_2e171m19_6limbs.json
index 4e692dddd..7451ca8fb 100644
--- a/src/Specific/CurveParameters/montgomery32_2e171m19_6limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e171m19_6limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<171) - 19'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<171) - 19'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<171) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<171) - 19'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e174m17_6limbs.json b/src/Specific/CurveParameters/montgomery32_2e174m17_6limbs.json
index 5a727b10b..41b18c6c5 100644
--- a/src/Specific/CurveParameters/montgomery32_2e174m17_6limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e174m17_6limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<174) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<174) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<174) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<174) - 17'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e174m3_6limbs.json b/src/Specific/CurveParameters/montgomery32_2e174m3_6limbs.json
index 4854948c3..1d0311e19 100644
--- a/src/Specific/CurveParameters/montgomery32_2e174m3_6limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e174m3_6limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<174) - 3'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<174) - 3'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<174) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<174) - 3'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e189m25_6limbs.json b/src/Specific/CurveParameters/montgomery32_2e189m25_6limbs.json
index 776486213..1896d13b6 100644
--- a/src/Specific/CurveParameters/montgomery32_2e189m25_6limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e189m25_6limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<189) - 25'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<189) - 25'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<189) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<189) - 25'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e190m11_6limbs.json b/src/Specific/CurveParameters/montgomery32_2e190m11_6limbs.json
index df9f8b4be..db86c295d 100644
--- a/src/Specific/CurveParameters/montgomery32_2e190m11_6limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e190m11_6limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf5}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<190) - 11'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf5}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<190) - 11'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf5}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<190) - 11'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf5}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<190) - 11'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e191m19_6limbs.json b/src/Specific/CurveParameters/montgomery32_2e191m19_6limbs.json
index 9931cab8e..6c652cd99 100644
--- a/src/Specific/CurveParameters/montgomery32_2e191m19_6limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e191m19_6limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<191) - 19'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<191) - 19'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<191) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<191) - 19'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e192m2e64m1_6limbs.json b/src/Specific/CurveParameters/montgomery32_2e192m2e64m1_6limbs.json
index 41841c274..4e96f04b6 100644
--- a/src/Specific/CurveParameters/montgomery32_2e192m2e64m1_6limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e192m2e64m1_6limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<192) - (1_mpz<<64) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<192) - (1_mpz<<64) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<192) - (1_mpz<<64) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<192) - (1_mpz<<64) - 1'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e194m33_7limbs.json b/src/Specific/CurveParameters/montgomery32_2e194m33_7limbs.json
index dd12b8dcc..8442d544e 100644
--- a/src/Specific/CurveParameters/montgomery32_2e194m33_7limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e194m33_7limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xdf}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<194) - 33'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xdf}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<194) - 33'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xdf}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<194) - 33'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xdf}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<194) - 33'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e196m15_7limbs.json b/src/Specific/CurveParameters/montgomery32_2e196m15_7limbs.json
index 99d685852..e358418d1 100644
--- a/src/Specific/CurveParameters/montgomery32_2e196m15_7limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e196m15_7limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<196) - 15'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<196) - 15'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<196) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<196) - 15'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e198m17_7limbs.json b/src/Specific/CurveParameters/montgomery32_2e198m17_7limbs.json
index 5e79ade92..935733ded 100644
--- a/src/Specific/CurveParameters/montgomery32_2e198m17_7limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e198m17_7limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<198) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<198) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<198) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<198) - 17'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e205m45x2e198m1_7limbs.json b/src/Specific/CurveParameters/montgomery32_2e205m45x2e198m1_7limbs.json
index 3741f2005..432582b89 100644
--- a/src/Specific/CurveParameters/montgomery32_2e205m45x2e198m1_7limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e205m45x2e198m1_7limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x14,0xbf,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<205) - 45*(1_mpz<<198) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x14,0xbf,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<205) - 45*(1_mpz<<198) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x14,0xbf,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<205) - 45*(1_mpz<<198) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x14,0xbf,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<205) - 45*(1_mpz<<198) - 1'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e206m5_7limbs.json b/src/Specific/CurveParameters/montgomery32_2e206m5_7limbs.json
index 024d82a8e..5226fccaf 100644
--- a/src/Specific/CurveParameters/montgomery32_2e206m5_7limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e206m5_7limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<206) - 5'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<206) - 5'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<206) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<206) - 5'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e212m29_7limbs.json b/src/Specific/CurveParameters/montgomery32_2e212m29_7limbs.json
index 2a8d9e871..c14bab0a8 100644
--- a/src/Specific/CurveParameters/montgomery32_2e212m29_7limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e212m29_7limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe3}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<212) - 29'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe3}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<212) - 29'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe3}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<212) - 29'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe3}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<212) - 29'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e213m3_7limbs.json b/src/Specific/CurveParameters/montgomery32_2e213m3_7limbs.json
index fff94df3c..302ee7a6d 100644
--- a/src/Specific/CurveParameters/montgomery32_2e213m3_7limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e213m3_7limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<213) - 3'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<213) - 3'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<213) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<213) - 3'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e216m2e108m1_7limbs.json b/src/Specific/CurveParameters/montgomery32_2e216m2e108m1_7limbs.json
index a15dfcce5..760f8b928 100644
--- a/src/Specific/CurveParameters/montgomery32_2e216m2e108m1_7limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e216m2e108m1_7limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<216) - (1_mpz<<108) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<216) - (1_mpz<<108) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<216) - (1_mpz<<108) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<216) - (1_mpz<<108) - 1'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e221m3_7limbs.json b/src/Specific/CurveParameters/montgomery32_2e221m3_7limbs.json
index 90a6b268d..ceb71751c 100644
--- a/src/Specific/CurveParameters/montgomery32_2e221m3_7limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e221m3_7limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<221) - 3'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<221) - 3'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<221) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<221) - 3'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e222m117_7limbs.json b/src/Specific/CurveParameters/montgomery32_2e222m117_7limbs.json
index d0bc78f18..93db3088e 100644
--- a/src/Specific/CurveParameters/montgomery32_2e222m117_7limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e222m117_7limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x8b}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<222) - 117'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x8b}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<222) - 117'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x8b}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<222) - 117'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x8b}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<222) - 117'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e224m2e96p1_7limbs.json b/src/Specific/CurveParameters/montgomery32_2e224m2e96p1_7limbs.json
index 0565a6206..21d7ab1ae 100644
--- a/src/Specific/CurveParameters/montgomery32_2e224m2e96p1_7limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e224m2e96p1_7limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<224) - (1_mpz<<96) + 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<224) - (1_mpz<<96) + 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<224) - (1_mpz<<96) + 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<224) - (1_mpz<<96) + 1'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e226m5_8limbs.json b/src/Specific/CurveParameters/montgomery32_2e226m5_8limbs.json
index 5c22c90d5..e297975cc 100644
--- a/src/Specific/CurveParameters/montgomery32_2e226m5_8limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e226m5_8limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<226) - 5'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<226) - 5'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<226) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<226) - 5'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e230m27_8limbs.json b/src/Specific/CurveParameters/montgomery32_2e230m27_8limbs.json
index f9935cf75..dc8439e7f 100644
--- a/src/Specific/CurveParameters/montgomery32_2e230m27_8limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e230m27_8limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<230) - 27'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<230) - 27'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<230) - 27'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<230) - 27'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e235m15_8limbs.json b/src/Specific/CurveParameters/montgomery32_2e235m15_8limbs.json
index 2ec32a813..6d0656232 100644
--- a/src/Specific/CurveParameters/montgomery32_2e235m15_8limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e235m15_8limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='30' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<235) - 15'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='30' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<235) - 15'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='30' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<235) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='30' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<235) - 15'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e243m9_8limbs.json b/src/Specific/CurveParameters/montgomery32_2e243m9_8limbs.json
index cc310f894..698f14d1f 100644
--- a/src/Specific/CurveParameters/montgomery32_2e243m9_8limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e243m9_8limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='31' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<243) - 9'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='31' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<243) - 9'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='31' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<243) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='31' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<243) - 9'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e251m9_8limbs.json b/src/Specific/CurveParameters/montgomery32_2e251m9_8limbs.json
index 9c0b5fe49..8733e4e61 100644
--- a/src/Specific/CurveParameters/montgomery32_2e251m9_8limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e251m9_8limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<251) - 9'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<251) - 9'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<251) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<251) - 9'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e254m127x2e240m1_8limbs.json b/src/Specific/CurveParameters/montgomery32_2e254m127x2e240m1_8limbs.json
index c73c5500a..b16a6b7e0 100644
--- a/src/Specific/CurveParameters/montgomery32_2e254m127x2e240m1_8limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e254m127x2e240m1_8limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0x80,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<254) - 127*(1_mpz<<240) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0x80,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<254) - 127*(1_mpz<<240) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0x80,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<254) - 127*(1_mpz<<240) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0x80,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<254) - 127*(1_mpz<<240) - 1'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e255m19_8limbs.json b/src/Specific/CurveParameters/montgomery32_2e255m19_8limbs.json
index 8fed08c6f..2c83c9517 100644
--- a/src/Specific/CurveParameters/montgomery32_2e255m19_8limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e255m19_8limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<255) - 19'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<255) - 19'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<255) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<255) - 19'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e255m765_8limbs.json b/src/Specific/CurveParameters/montgomery32_2e255m765_8limbs.json
index bcfc35fac..ec7d7000b 100644
--- a/src/Specific/CurveParameters/montgomery32_2e255m765_8limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e255m765_8limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0x03}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<255) - 765'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0x03}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<255) - 765'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0x03}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<255) - 765'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0x03}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<255) - 765'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e256m189_8limbs.json b/src/Specific/CurveParameters/montgomery32_2e256m189_8limbs.json
index b3cb44f7c..0192ec5ae 100644
--- a/src/Specific/CurveParameters/montgomery32_2e256m189_8limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e256m189_8limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x43}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<256) - 189'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x43}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<256) - 189'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x43}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<256) - 189'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x43}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<256) - 189'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e256m2e224p2e192p2e96m1_8limbs.json b/src/Specific/CurveParameters/montgomery32_2e256m2e224p2e192p2e96m1_8limbs.json
index bea3c7199..4deaa7289 100644
--- a/src/Specific/CurveParameters/montgomery32_2e256m2e224p2e192p2e96m1_8limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e256m2e224p2e192p2e96m1_8limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<256) - (1_mpz<<224) + (1_mpz<<192) + (1_mpz<<96) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<256) - (1_mpz<<224) + (1_mpz<<192) + (1_mpz<<96) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<256) - (1_mpz<<224) + (1_mpz<<192) + (1_mpz<<96) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<256) - (1_mpz<<224) + (1_mpz<<192) + (1_mpz<<96) - 1'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e256m2e32m977_8limbs.json b/src/Specific/CurveParameters/montgomery32_2e256m2e32m977_8limbs.json
index 882492992..c52a737c2 100644
--- a/src/Specific/CurveParameters/montgomery32_2e256m2e32m977_8limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e256m2e32m977_8limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<256) - (1_mpz<<32) - 977'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<256) - (1_mpz<<32) - 977'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<256) - (1_mpz<<32) - 977'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<256) - (1_mpz<<32) - 977'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e256m4294968273_8limbs.json b/src/Specific/CurveParameters/montgomery32_2e256m4294968273_8limbs.json
index 74b8b05ec..752f93c96 100644
--- a/src/Specific/CurveParameters/montgomery32_2e256m4294968273_8limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e256m4294968273_8limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<256) - 4294968273'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<256) - 4294968273'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<256) - 4294968273'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<256) - 4294968273'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e256m88x2e240m1_8limbs.json b/src/Specific/CurveParameters/montgomery32_2e256m88x2e240m1_8limbs.json
index 6789691fb..9a7089f2d 100644
--- a/src/Specific/CurveParameters/montgomery32_2e256m88x2e240m1_8limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e256m88x2e240m1_8limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xa7,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<256) - 88*(1_mpz<<240) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xa7,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<256) - 88*(1_mpz<<240) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xa7,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<256) - 88*(1_mpz<<240) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xa7,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<256) - 88*(1_mpz<<240) - 1'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e266m3_9limbs.json b/src/Specific/CurveParameters/montgomery32_2e266m3_9limbs.json
index cf5436706..e881324f1 100644
--- a/src/Specific/CurveParameters/montgomery32_2e266m3_9limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e266m3_9limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='34' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<266) - 3'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='34' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<266) - 3'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='34' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<266) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='34' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<266) - 3'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e285m9_9limbs.json b/src/Specific/CurveParameters/montgomery32_2e285m9_9limbs.json
index 47b9e6bc0..b2e4dc723 100644
--- a/src/Specific/CurveParameters/montgomery32_2e285m9_9limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e285m9_9limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='36' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<285) - 9'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='36' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<285) - 9'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='36' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<285) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='36' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<285) - 9'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e291m19_10limbs.json b/src/Specific/CurveParameters/montgomery32_2e291m19_10limbs.json
index 767e0adc4..2c9d15a3a 100644
--- a/src/Specific/CurveParameters/montgomery32_2e291m19_10limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e291m19_10limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='37' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<291) - 19'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='37' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<291) - 19'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='37' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<291) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='37' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<291) - 19'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e321m9_11limbs.json b/src/Specific/CurveParameters/montgomery32_2e321m9_11limbs.json
index 5e6eb8a37..36d27ed36 100644
--- a/src/Specific/CurveParameters/montgomery32_2e321m9_11limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e321m9_11limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<321) - 9'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<321) - 9'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<321) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<321) - 9'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e322m2e161m1_11limbs.json b/src/Specific/CurveParameters/montgomery32_2e322m2e161m1_11limbs.json
index a94238880..09720ca5c 100644
--- a/src/Specific/CurveParameters/montgomery32_2e322m2e161m1_11limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e322m2e161m1_11limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<322) - (1_mpz<<161) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<322) - (1_mpz<<161) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<322) - (1_mpz<<161) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<322) - (1_mpz<<161) - 1'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e336m17_11limbs.json b/src/Specific/CurveParameters/montgomery32_2e336m17_11limbs.json
index 88cfa4f2b..21c401781 100644
--- a/src/Specific/CurveParameters/montgomery32_2e336m17_11limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e336m17_11limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<336) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<336) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<336) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<336) - 17'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e336m3_11limbs.json b/src/Specific/CurveParameters/montgomery32_2e336m3_11limbs.json
index 56b37964f..903113d62 100644
--- a/src/Specific/CurveParameters/montgomery32_2e336m3_11limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e336m3_11limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<336) - 3'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<336) - 3'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<336) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<336) - 3'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e338m15_11limbs.json b/src/Specific/CurveParameters/montgomery32_2e338m15_11limbs.json
index 43374b885..a11519e8c 100644
--- a/src/Specific/CurveParameters/montgomery32_2e338m15_11limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e338m15_11limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='43' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<338) - 15'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='43' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<338) - 15'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='43' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<338) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='43' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<338) - 15'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e369m25_12limbs.json b/src/Specific/CurveParameters/montgomery32_2e369m25_12limbs.json
index 63c02bba5..1eb7d788b 100644
--- a/src/Specific/CurveParameters/montgomery32_2e369m25_12limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e369m25_12limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='47' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<369) - 25'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='47' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<369) - 25'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='47' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<369) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='47' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<369) - 25'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e379m19_12limbs.json b/src/Specific/CurveParameters/montgomery32_2e379m19_12limbs.json
index 6f01e104e..466801ea8 100644
--- a/src/Specific/CurveParameters/montgomery32_2e379m19_12limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e379m19_12limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<379) - 19'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<379) - 19'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<379) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<379) - 19'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e382m105_12limbs.json b/src/Specific/CurveParameters/montgomery32_2e382m105_12limbs.json
index 8fe75592b..9bba1b230 100644
--- a/src/Specific/CurveParameters/montgomery32_2e382m105_12limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e382m105_12limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x97}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<382) - 105'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x97}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<382) - 105'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x97}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<382) - 105'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x97}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<382) - 105'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e383m187_12limbs.json b/src/Specific/CurveParameters/montgomery32_2e383m187_12limbs.json
index 72815f974..8b89d6e7b 100644
--- a/src/Specific/CurveParameters/montgomery32_2e383m187_12limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e383m187_12limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<383) - 187'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<383) - 187'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<383) - 187'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<383) - 187'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e383m31_12limbs.json b/src/Specific/CurveParameters/montgomery32_2e383m31_12limbs.json
index a7d30ba56..477490838 100644
--- a/src/Specific/CurveParameters/montgomery32_2e383m31_12limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e383m31_12limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<383) - 31'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<383) - 31'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<383) - 31'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<383) - 31'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e383m421_12limbs.json b/src/Specific/CurveParameters/montgomery32_2e383m421_12limbs.json
index 774f60f83..28e3fc4c7 100644
--- a/src/Specific/CurveParameters/montgomery32_2e383m421_12limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e383m421_12limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x5b}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<383) - 421'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x5b}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<383) - 421'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x5b}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<383) - 421'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x5b}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<383) - 421'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e384m2e128m2e96p2e32m1_12limbs.json b/src/Specific/CurveParameters/montgomery32_2e384m2e128m2e96p2e32m1_12limbs.json
index fb1576805..b65d7be7d 100644
--- a/src/Specific/CurveParameters/montgomery32_2e384m2e128m2e96p2e32m1_12limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e384m2e128m2e96p2e32m1_12limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<384) - (1_mpz<<128) - (1_mpz<<96) + (1_mpz<<32) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<384) - (1_mpz<<128) - (1_mpz<<96) + (1_mpz<<32) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<384) - (1_mpz<<128) - (1_mpz<<96) + (1_mpz<<32) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<384) - (1_mpz<<128) - (1_mpz<<96) + (1_mpz<<32) - 1'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e384m317_12limbs.json b/src/Specific/CurveParameters/montgomery32_2e384m317_12limbs.json
index a3c43fb58..1fb8c0c67 100644
--- a/src/Specific/CurveParameters/montgomery32_2e384m317_12limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e384m317_12limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xc3}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<384) - 317'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xc3}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<384) - 317'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xc3}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<384) - 317'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xc3}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<384) - 317'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e384m5x2e368m1_12limbs.json b/src/Specific/CurveParameters/montgomery32_2e384m5x2e368m1_12limbs.json
index 593857bc4..713f79d7c 100644
--- a/src/Specific/CurveParameters/montgomery32_2e384m5x2e368m1_12limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e384m5x2e368m1_12limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xfa,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<384) - 5*(1_mpz<<368) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xfa,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<384) - 5*(1_mpz<<368) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xfa,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<384) - 5*(1_mpz<<368) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xfa,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<384) - 5*(1_mpz<<368) - 1'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e384m79x2e376m1_12limbs.json b/src/Specific/CurveParameters/montgomery32_2e384m79x2e376m1_12limbs.json
index b8c34a292..ecec92a1f 100644
--- a/src/Specific/CurveParameters/montgomery32_2e384m79x2e376m1_12limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e384m79x2e376m1_12limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xb0,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<384) - 79*(1_mpz<<376) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xb0,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<384) - 79*(1_mpz<<376) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xb0,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<384) - 79*(1_mpz<<376) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xb0,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<384) - 79*(1_mpz<<376) - 1'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e389m21_13limbs.json b/src/Specific/CurveParameters/montgomery32_2e389m21_13limbs.json
index 12ee46c6b..3e7283a0a 100644
--- a/src/Specific/CurveParameters/montgomery32_2e389m21_13limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e389m21_13limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='49' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<389) - 21'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='49' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<389) - 21'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='49' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<389) - 21'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='49' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<389) - 21'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e401m31_13limbs.json b/src/Specific/CurveParameters/montgomery32_2e401m31_13limbs.json
index 1552b5164..59a125f64 100644
--- a/src/Specific/CurveParameters/montgomery32_2e401m31_13limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e401m31_13limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='51' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<401) - 31'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='51' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<401) - 31'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='51' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<401) - 31'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='51' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<401) - 31'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e413m21_13limbs.json b/src/Specific/CurveParameters/montgomery32_2e413m21_13limbs.json
index c144177e2..e8fac478d 100644
--- a/src/Specific/CurveParameters/montgomery32_2e413m21_13limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e413m21_13limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<413) - 21'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<413) - 21'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<413) - 21'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<413) - 21'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e414m17_13limbs.json b/src/Specific/CurveParameters/montgomery32_2e414m17_13limbs.json
index 2f1a18da8..a87819156 100644
--- a/src/Specific/CurveParameters/montgomery32_2e414m17_13limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e414m17_13limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<414) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<414) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<414) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<414) - 17'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e416m2e208m1_13limbs.json b/src/Specific/CurveParameters/montgomery32_2e416m2e208m1_13limbs.json
index 801a3e2ff..c1a2dc471 100644
--- a/src/Specific/CurveParameters/montgomery32_2e416m2e208m1_13limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e416m2e208m1_13limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<416) - (1_mpz<<208) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<416) - (1_mpz<<208) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<416) - (1_mpz<<208) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<416) - (1_mpz<<208) - 1'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e444m17_14limbs.json b/src/Specific/CurveParameters/montgomery32_2e444m17_14limbs.json
index 015d0a2cf..c7d38da91 100644
--- a/src/Specific/CurveParameters/montgomery32_2e444m17_14limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e444m17_14limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='14' -Dq_mpz='(1_mpz<<444) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='14' -Dq_mpz='(1_mpz<<444) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='14' -Dq_mpz='(1_mpz<<444) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='14' -Dq_mpz='(1_mpz<<444) - 17'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e448m2e224m1_14limbs.json b/src/Specific/CurveParameters/montgomery32_2e448m2e224m1_14limbs.json
index 3fee52180..7c298e754 100644
--- a/src/Specific/CurveParameters/montgomery32_2e448m2e224m1_14limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e448m2e224m1_14limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='14' -Dq_mpz='(1_mpz<<448) - (1_mpz<<224) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='14' -Dq_mpz='(1_mpz<<448) - (1_mpz<<224) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='14' -Dq_mpz='(1_mpz<<448) - (1_mpz<<224) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='14' -Dq_mpz='(1_mpz<<448) - (1_mpz<<224) - 1'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e450m2e225m1_15limbs.json b/src/Specific/CurveParameters/montgomery32_2e450m2e225m1_15limbs.json
index a0b4960cf..424ac341d 100644
--- a/src/Specific/CurveParameters/montgomery32_2e450m2e225m1_15limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e450m2e225m1_15limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<450) - (1_mpz<<225) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<450) - (1_mpz<<225) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<450) - (1_mpz<<225) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<450) - (1_mpz<<225) - 1'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e452m3_15limbs.json b/src/Specific/CurveParameters/montgomery32_2e452m3_15limbs.json
index 1b4614542..f1eb77e97 100644
--- a/src/Specific/CurveParameters/montgomery32_2e452m3_15limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e452m3_15limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<452) - 3'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<452) - 3'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<452) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<452) - 3'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e468m17_15limbs.json b/src/Specific/CurveParameters/montgomery32_2e468m17_15limbs.json
index 20de05319..927b944e5 100644
--- a/src/Specific/CurveParameters/montgomery32_2e468m17_15limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e468m17_15limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='59' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<468) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='59' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<468) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='59' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<468) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='59' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<468) - 17'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e480m2e240m1_15limbs.json b/src/Specific/CurveParameters/montgomery32_2e480m2e240m1_15limbs.json
index d0a19077d..b92015d58 100644
--- a/src/Specific/CurveParameters/montgomery32_2e480m2e240m1_15limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e480m2e240m1_15limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='60' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<480) - (1_mpz<<240) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='60' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<480) - (1_mpz<<240) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='60' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<480) - (1_mpz<<240) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='60' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<480) - (1_mpz<<240) - 1'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e488m17_16limbs.json b/src/Specific/CurveParameters/montgomery32_2e488m17_16limbs.json
index c5ce86391..dd429625d 100644
--- a/src/Specific/CurveParameters/montgomery32_2e488m17_16limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e488m17_16limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='61' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<488) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='61' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<488) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='61' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<488) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='61' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<488) - 17'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e489m21_16limbs.json b/src/Specific/CurveParameters/montgomery32_2e489m21_16limbs.json
index 686c6eeff..648633b43 100644
--- a/src/Specific/CurveParameters/montgomery32_2e489m21_16limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e489m21_16limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<489) - 21'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<489) - 21'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<489) - 21'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<489) - 21'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e495m31_16limbs.json b/src/Specific/CurveParameters/montgomery32_2e495m31_16limbs.json
index 675d0a99c..e07f3138d 100644
--- a/src/Specific/CurveParameters/montgomery32_2e495m31_16limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e495m31_16limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<495) - 31'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<495) - 31'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<495) - 31'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<495) - 31'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e510m290x2e496m1_16limbs.json b/src/Specific/CurveParameters/montgomery32_2e510m290x2e496m1_16limbs.json
index 2b0f36835..8ce5988fa 100644
--- a/src/Specific/CurveParameters/montgomery32_2e510m290x2e496m1_16limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e510m290x2e496m1_16limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x3e,0xdd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<510) - 290*(1_mpz<<496) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x3e,0xdd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<510) - 290*(1_mpz<<496) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x3e,0xdd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<510) - 290*(1_mpz<<496) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x3e,0xdd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<510) - 290*(1_mpz<<496) - 1'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e511m187_16limbs.json b/src/Specific/CurveParameters/montgomery32_2e511m187_16limbs.json
index bc7a6e360..7aa6dd892 100644
--- a/src/Specific/CurveParameters/montgomery32_2e511m187_16limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e511m187_16limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<511) - 187'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<511) - 187'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<511) - 187'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<511) - 187'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e511m481_16limbs.json b/src/Specific/CurveParameters/montgomery32_2e511m481_16limbs.json
index 0fd27b5cd..431ba2f74 100644
--- a/src/Specific/CurveParameters/montgomery32_2e511m481_16limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e511m481_16limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x1f}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<511) - 481'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x1f}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<511) - 481'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x1f}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<511) - 481'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x1f}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<511) - 481'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e512m491x2e496m1_16limbs.json b/src/Specific/CurveParameters/montgomery32_2e512m491x2e496m1_16limbs.json
index c0841b538..9a3b26bd7 100644
--- a/src/Specific/CurveParameters/montgomery32_2e512m491x2e496m1_16limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e512m491x2e496m1_16limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xfe,0x14,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<512) - 491*(1_mpz<<496) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xfe,0x14,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<512) - 491*(1_mpz<<496) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xfe,0x14,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<512) - 491*(1_mpz<<496) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xfe,0x14,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<512) - 491*(1_mpz<<496) - 1'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e512m569_16limbs.json b/src/Specific/CurveParameters/montgomery32_2e512m569_16limbs.json
index 5d1a4c178..34ee271a0 100644
--- a/src/Specific/CurveParameters/montgomery32_2e512m569_16limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e512m569_16limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xc7}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<512) - 569'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xc7}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<512) - 569'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xc7}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<512) - 569'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xc7}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<512) - 569'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery32_2e521m1_17limbs.json b/src/Specific/CurveParameters/montgomery32_2e521m1_17limbs.json
index afe519841..529ce16c0 100644
--- a/src/Specific/CurveParameters/montgomery32_2e521m1_17limbs.json
+++ b/src/Specific/CurveParameters/montgomery32_2e521m1_17limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "32",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='66' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<521) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='66' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<521) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='66' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<521) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='66' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<521) - 1'",
     "extra_files": [
         "montgomery32/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e127m1_2limbs.json b/src/Specific/CurveParameters/montgomery64_2e127m1_2limbs.json
index 3577a4216..c89c1b909 100644
--- a/src/Specific/CurveParameters/montgomery64_2e127m1_2limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e127m1_2limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='16' -Dmodulus_limbs='2' -Dq_mpz='(1_mpz<<127) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='16' -Dmodulus_limbs='2' -Dq_mpz='(1_mpz<<127) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='16' -Dmodulus_limbs='2' -Dq_mpz='(1_mpz<<127) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='16' -Dmodulus_limbs='2' -Dq_mpz='(1_mpz<<127) - 1'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e129m25_3limbs.json b/src/Specific/CurveParameters/montgomery64_2e129m25_3limbs.json
index 881e84c55..be1175a46 100644
--- a/src/Specific/CurveParameters/montgomery64_2e129m25_3limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e129m25_3limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<129) - 25'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<129) - 25'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<129) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<129) - 25'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e130m5_3limbs.json b/src/Specific/CurveParameters/montgomery64_2e130m5_3limbs.json
index 7b05780c8..b772a22cb 100644
--- a/src/Specific/CurveParameters/montgomery64_2e130m5_3limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e130m5_3limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<130) - 5'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<130) - 5'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<130) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<130) - 5'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e137m13_3limbs.json b/src/Specific/CurveParameters/montgomery64_2e137m13_3limbs.json
index 0f8af0f70..7f3acab16 100644
--- a/src/Specific/CurveParameters/montgomery64_2e137m13_3limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e137m13_3limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf3}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<137) - 13'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf3}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<137) - 13'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf3}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<137) - 13'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf3}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<137) - 13'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e140m27_3limbs.json b/src/Specific/CurveParameters/montgomery64_2e140m27_3limbs.json
index dc26fe4d5..99518bd5e 100644
--- a/src/Specific/CurveParameters/montgomery64_2e140m27_3limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e140m27_3limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<140) - 27'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<140) - 27'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<140) - 27'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<140) - 27'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e141m9_3limbs.json b/src/Specific/CurveParameters/montgomery64_2e141m9_3limbs.json
index 72556558a..fe76033da 100644
--- a/src/Specific/CurveParameters/montgomery64_2e141m9_3limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e141m9_3limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<141) - 9'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<141) - 9'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<141) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<141) - 9'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e150m3_3limbs.json b/src/Specific/CurveParameters/montgomery64_2e150m3_3limbs.json
index f14bf963c..738015f69 100644
--- a/src/Specific/CurveParameters/montgomery64_2e150m3_3limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e150m3_3limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<150) - 3'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<150) - 3'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<150) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<150) - 3'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e150m5_3limbs.json b/src/Specific/CurveParameters/montgomery64_2e150m5_3limbs.json
index 85ee3258a..2b6207b11 100644
--- a/src/Specific/CurveParameters/montgomery64_2e150m5_3limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e150m5_3limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<150) - 5'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<150) - 5'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<150) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<150) - 5'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e152m17_3limbs.json b/src/Specific/CurveParameters/montgomery64_2e152m17_3limbs.json
index 0426c2e66..b9fd3a7bd 100644
--- a/src/Specific/CurveParameters/montgomery64_2e152m17_3limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e152m17_3limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<152) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<152) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<152) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<152) - 17'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e158m15_3limbs.json b/src/Specific/CurveParameters/montgomery64_2e158m15_3limbs.json
index d1a0e4c74..dc25414b6 100644
--- a/src/Specific/CurveParameters/montgomery64_2e158m15_3limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e158m15_3limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='20' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<158) - 15'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='20' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<158) - 15'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='20' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<158) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='20' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<158) - 15'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e165m25_3limbs.json b/src/Specific/CurveParameters/montgomery64_2e165m25_3limbs.json
index 55091960e..2732b1bb0 100644
--- a/src/Specific/CurveParameters/montgomery64_2e165m25_3limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e165m25_3limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<165) - 25'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<165) - 25'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<165) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<165) - 25'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e166m5_3limbs.json b/src/Specific/CurveParameters/montgomery64_2e166m5_3limbs.json
index 7d0afcf9c..eea9e8f21 100644
--- a/src/Specific/CurveParameters/montgomery64_2e166m5_3limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e166m5_3limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<166) - 5'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<166) - 5'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<166) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<166) - 5'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e171m19_3limbs.json b/src/Specific/CurveParameters/montgomery64_2e171m19_3limbs.json
index 69142990b..1faa915ac 100644
--- a/src/Specific/CurveParameters/montgomery64_2e171m19_3limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e171m19_3limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<171) - 19'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<171) - 19'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<171) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<171) - 19'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e174m17_3limbs.json b/src/Specific/CurveParameters/montgomery64_2e174m17_3limbs.json
index b2f6e7dfd..07c210431 100644
--- a/src/Specific/CurveParameters/montgomery64_2e174m17_3limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e174m17_3limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<174) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<174) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<174) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<174) - 17'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e174m3_3limbs.json b/src/Specific/CurveParameters/montgomery64_2e174m3_3limbs.json
index 079868e6d..a6868b023 100644
--- a/src/Specific/CurveParameters/montgomery64_2e174m3_3limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e174m3_3limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<174) - 3'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<174) - 3'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<174) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<174) - 3'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e189m25_3limbs.json b/src/Specific/CurveParameters/montgomery64_2e189m25_3limbs.json
index 762157c84..ff0e9754c 100644
--- a/src/Specific/CurveParameters/montgomery64_2e189m25_3limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e189m25_3limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<189) - 25'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<189) - 25'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<189) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<189) - 25'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e190m11_3limbs.json b/src/Specific/CurveParameters/montgomery64_2e190m11_3limbs.json
index e2883db59..e237c7cbf 100644
--- a/src/Specific/CurveParameters/montgomery64_2e190m11_3limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e190m11_3limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf5}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<190) - 11'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf5}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<190) - 11'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf5}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<190) - 11'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf5}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<190) - 11'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e191m19_3limbs.json b/src/Specific/CurveParameters/montgomery64_2e191m19_3limbs.json
index 8d84ebdd4..4550a2f56 100644
--- a/src/Specific/CurveParameters/montgomery64_2e191m19_3limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e191m19_3limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<191) - 19'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<191) - 19'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<191) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<191) - 19'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e192m2e64m1_3limbs.json b/src/Specific/CurveParameters/montgomery64_2e192m2e64m1_3limbs.json
index cb979dd5c..d7cfb7bd2 100644
--- a/src/Specific/CurveParameters/montgomery64_2e192m2e64m1_3limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e192m2e64m1_3limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<192) - (1_mpz<<64) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<192) - (1_mpz<<64) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<192) - (1_mpz<<64) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<192) - (1_mpz<<64) - 1'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e194m33_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e194m33_4limbs.json
index 8b35535e4..b9368cc4c 100644
--- a/src/Specific/CurveParameters/montgomery64_2e194m33_4limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e194m33_4limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xdf}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<194) - 33'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xdf}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<194) - 33'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xdf}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<194) - 33'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xdf}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<194) - 33'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e196m15_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e196m15_4limbs.json
index eb3cecba9..5a4f859f7 100644
--- a/src/Specific/CurveParameters/montgomery64_2e196m15_4limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e196m15_4limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<196) - 15'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<196) - 15'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<196) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<196) - 15'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e198m17_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e198m17_4limbs.json
index 92f5bdd0b..63ef03882 100644
--- a/src/Specific/CurveParameters/montgomery64_2e198m17_4limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e198m17_4limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<198) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<198) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<198) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<198) - 17'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e205m45x2e198m1_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e205m45x2e198m1_4limbs.json
index 14108693f..0a686b8e9 100644
--- a/src/Specific/CurveParameters/montgomery64_2e205m45x2e198m1_4limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e205m45x2e198m1_4limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x14,0xbf,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<205) - 45*(1_mpz<<198) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x14,0xbf,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<205) - 45*(1_mpz<<198) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x14,0xbf,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<205) - 45*(1_mpz<<198) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x14,0xbf,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<205) - 45*(1_mpz<<198) - 1'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e206m5_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e206m5_4limbs.json
index 135cd95b2..16e6477a1 100644
--- a/src/Specific/CurveParameters/montgomery64_2e206m5_4limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e206m5_4limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<206) - 5'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<206) - 5'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<206) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<206) - 5'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e212m29_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e212m29_4limbs.json
index 99afe3770..7c6ed6716 100644
--- a/src/Specific/CurveParameters/montgomery64_2e212m29_4limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e212m29_4limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe3}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<212) - 29'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe3}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<212) - 29'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe3}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<212) - 29'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe3}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<212) - 29'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e213m3_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e213m3_4limbs.json
index 5eb965483..0c8e137ae 100644
--- a/src/Specific/CurveParameters/montgomery64_2e213m3_4limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e213m3_4limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<213) - 3'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<213) - 3'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<213) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<213) - 3'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e216m2e108m1_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e216m2e108m1_4limbs.json
index 0748a5f84..eb77d0ab4 100644
--- a/src/Specific/CurveParameters/montgomery64_2e216m2e108m1_4limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e216m2e108m1_4limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<216) - (1_mpz<<108) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<216) - (1_mpz<<108) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<216) - (1_mpz<<108) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<216) - (1_mpz<<108) - 1'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e221m3_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e221m3_4limbs.json
index c7ece4d53..115a921ea 100644
--- a/src/Specific/CurveParameters/montgomery64_2e221m3_4limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e221m3_4limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<221) - 3'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<221) - 3'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<221) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<221) - 3'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e222m117_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e222m117_4limbs.json
index ab302d0c0..55708691c 100644
--- a/src/Specific/CurveParameters/montgomery64_2e222m117_4limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e222m117_4limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x8b}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<222) - 117'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x8b}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<222) - 117'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x8b}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<222) - 117'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x8b}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<222) - 117'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e224m2e96p1_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e224m2e96p1_4limbs.json
index e14e9b3e1..d9b9caff1 100644
--- a/src/Specific/CurveParameters/montgomery64_2e224m2e96p1_4limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e224m2e96p1_4limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<224) - (1_mpz<<96) + 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<224) - (1_mpz<<96) + 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<224) - (1_mpz<<96) + 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<224) - (1_mpz<<96) + 1'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e226m5_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e226m5_4limbs.json
index cd8d344fd..74c6aa6c4 100644
--- a/src/Specific/CurveParameters/montgomery64_2e226m5_4limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e226m5_4limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<226) - 5'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<226) - 5'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<226) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<226) - 5'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e230m27_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e230m27_4limbs.json
index 1b1323b1e..857f332c0 100644
--- a/src/Specific/CurveParameters/montgomery64_2e230m27_4limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e230m27_4limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<230) - 27'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<230) - 27'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<230) - 27'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<230) - 27'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e235m15_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e235m15_4limbs.json
index 3b6445f96..2588781b0 100644
--- a/src/Specific/CurveParameters/montgomery64_2e235m15_4limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e235m15_4limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='30' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<235) - 15'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='30' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<235) - 15'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='30' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<235) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='30' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<235) - 15'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e243m9_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e243m9_4limbs.json
index a2fdbc967..33a2be0b7 100644
--- a/src/Specific/CurveParameters/montgomery64_2e243m9_4limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e243m9_4limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='31' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<243) - 9'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='31' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<243) - 9'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='31' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<243) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='31' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<243) - 9'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e251m9_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e251m9_4limbs.json
index 50a8d3129..33b515590 100644
--- a/src/Specific/CurveParameters/montgomery64_2e251m9_4limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e251m9_4limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<251) - 9'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<251) - 9'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<251) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<251) - 9'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e254m127x2e240m1_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e254m127x2e240m1_4limbs.json
index 0d454decd..aceb683d9 100644
--- a/src/Specific/CurveParameters/montgomery64_2e254m127x2e240m1_4limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e254m127x2e240m1_4limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x3f,0x80,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<254) - 127*(1_mpz<<240) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x3f,0x80,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<254) - 127*(1_mpz<<240) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x3f,0x80,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<254) - 127*(1_mpz<<240) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x3f,0x80,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<254) - 127*(1_mpz<<240) - 1'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e255m19_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e255m19_4limbs.json
index 499367e95..b710ed4c5 100644
--- a/src/Specific/CurveParameters/montgomery64_2e255m19_4limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e255m19_4limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<255) - 19'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<255) - 19'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<255) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<255) - 19'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e255m765_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e255m765_4limbs.json
index 5c3930407..23639fa01 100644
--- a/src/Specific/CurveParameters/montgomery64_2e255m765_4limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e255m765_4limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0x03}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<255) - 765'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0x03}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<255) - 765'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0x03}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<255) - 765'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0x03}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<255) - 765'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e256m189_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e256m189_4limbs.json
index f38640d64..07612ec6d 100644
--- a/src/Specific/CurveParameters/montgomery64_2e256m189_4limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e256m189_4limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x43}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<256) - 189'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x43}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<256) - 189'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x43}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<256) - 189'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x43}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<256) - 189'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e256m2e224p2e192p2e96m1_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e256m2e224p2e192p2e96m1_4limbs.json
index 844c898fa..0216815c9 100644
--- a/src/Specific/CurveParameters/montgomery64_2e256m2e224p2e192p2e96m1_4limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e256m2e224p2e192p2e96m1_4limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<256) - (1_mpz<<224) + (1_mpz<<192) + (1_mpz<<96) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<256) - (1_mpz<<224) + (1_mpz<<192) + (1_mpz<<96) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<256) - (1_mpz<<224) + (1_mpz<<192) + (1_mpz<<96) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<256) - (1_mpz<<224) + (1_mpz<<192) + (1_mpz<<96) - 1'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e256m2e32m977_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e256m2e32m977_4limbs.json
index fba20abdb..77cb0aee6 100644
--- a/src/Specific/CurveParameters/montgomery64_2e256m2e32m977_4limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e256m2e32m977_4limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<256) - (1_mpz<<32) - 977'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<256) - (1_mpz<<32) - 977'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<256) - (1_mpz<<32) - 977'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<256) - (1_mpz<<32) - 977'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e256m4294968273_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e256m4294968273_4limbs.json
index 67dd72b7c..f7f97e460 100644
--- a/src/Specific/CurveParameters/montgomery64_2e256m4294968273_4limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e256m4294968273_4limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<256) - 4294968273'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<256) - 4294968273'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<256) - 4294968273'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<256) - 4294968273'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e256m88x2e240m1_4limbs.json b/src/Specific/CurveParameters/montgomery64_2e256m88x2e240m1_4limbs.json
index d375c8362..3037bc6b5 100644
--- a/src/Specific/CurveParameters/montgomery64_2e256m88x2e240m1_4limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e256m88x2e240m1_4limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0xff,0xa7,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<256) - 88*(1_mpz<<240) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0xff,0xa7,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<256) - 88*(1_mpz<<240) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0xff,0xa7,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<256) - 88*(1_mpz<<240) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64}' -Dmodulus_array='{0xff,0xa7,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<256) - 88*(1_mpz<<240) - 1'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e266m3_5limbs.json b/src/Specific/CurveParameters/montgomery64_2e266m3_5limbs.json
index 4fe494f90..db4000d82 100644
--- a/src/Specific/CurveParameters/montgomery64_2e266m3_5limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e266m3_5limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='34' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<266) - 3'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='34' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<266) - 3'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='34' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<266) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='34' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<266) - 3'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e285m9_5limbs.json b/src/Specific/CurveParameters/montgomery64_2e285m9_5limbs.json
index 78ae31131..48149c985 100644
--- a/src/Specific/CurveParameters/montgomery64_2e285m9_5limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e285m9_5limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='36' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<285) - 9'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='36' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<285) - 9'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='36' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<285) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='36' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<285) - 9'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e291m19_5limbs.json b/src/Specific/CurveParameters/montgomery64_2e291m19_5limbs.json
index eaec85246..e25b922e0 100644
--- a/src/Specific/CurveParameters/montgomery64_2e291m19_5limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e291m19_5limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='37' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<291) - 19'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='37' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<291) - 19'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='37' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<291) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='37' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<291) - 19'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e321m9_6limbs.json b/src/Specific/CurveParameters/montgomery64_2e321m9_6limbs.json
index 80975bbd5..dce093e31 100644
--- a/src/Specific/CurveParameters/montgomery64_2e321m9_6limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e321m9_6limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<321) - 9'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<321) - 9'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<321) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<321) - 9'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e322m2e161m1_6limbs.json b/src/Specific/CurveParameters/montgomery64_2e322m2e161m1_6limbs.json
index 0e241e3f7..82aaa0f7d 100644
--- a/src/Specific/CurveParameters/montgomery64_2e322m2e161m1_6limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e322m2e161m1_6limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<322) - (1_mpz<<161) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<322) - (1_mpz<<161) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<322) - (1_mpz<<161) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<322) - (1_mpz<<161) - 1'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e336m17_6limbs.json b/src/Specific/CurveParameters/montgomery64_2e336m17_6limbs.json
index ffb49083a..0f7b8e9e3 100644
--- a/src/Specific/CurveParameters/montgomery64_2e336m17_6limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e336m17_6limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<336) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<336) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<336) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<336) - 17'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e336m3_6limbs.json b/src/Specific/CurveParameters/montgomery64_2e336m3_6limbs.json
index 019d375c6..6ae81c39f 100644
--- a/src/Specific/CurveParameters/montgomery64_2e336m3_6limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e336m3_6limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<336) - 3'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<336) - 3'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<336) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<336) - 3'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e338m15_6limbs.json b/src/Specific/CurveParameters/montgomery64_2e338m15_6limbs.json
index d66020497..cded47ef7 100644
--- a/src/Specific/CurveParameters/montgomery64_2e338m15_6limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e338m15_6limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='43' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<338) - 15'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='43' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<338) - 15'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='43' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<338) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='43' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<338) - 15'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e369m25_6limbs.json b/src/Specific/CurveParameters/montgomery64_2e369m25_6limbs.json
index 4c9878c93..e6038f232 100644
--- a/src/Specific/CurveParameters/montgomery64_2e369m25_6limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e369m25_6limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='47' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<369) - 25'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='47' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<369) - 25'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='47' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<369) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='47' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<369) - 25'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e379m19_6limbs.json b/src/Specific/CurveParameters/montgomery64_2e379m19_6limbs.json
index 64a7a4339..64dd6d8ad 100644
--- a/src/Specific/CurveParameters/montgomery64_2e379m19_6limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e379m19_6limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<379) - 19'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<379) - 19'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<379) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<379) - 19'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e382m105_6limbs.json b/src/Specific/CurveParameters/montgomery64_2e382m105_6limbs.json
index e1cefbf4e..31c1003c0 100644
--- a/src/Specific/CurveParameters/montgomery64_2e382m105_6limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e382m105_6limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x97}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<382) - 105'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x97}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<382) - 105'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x97}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<382) - 105'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x97}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<382) - 105'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e383m187_6limbs.json b/src/Specific/CurveParameters/montgomery64_2e383m187_6limbs.json
index 6bd6f23f9..eda63f535 100644
--- a/src/Specific/CurveParameters/montgomery64_2e383m187_6limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e383m187_6limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<383) - 187'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<383) - 187'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<383) - 187'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<383) - 187'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e383m31_6limbs.json b/src/Specific/CurveParameters/montgomery64_2e383m31_6limbs.json
index d384d6ae5..1da0e0431 100644
--- a/src/Specific/CurveParameters/montgomery64_2e383m31_6limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e383m31_6limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<383) - 31'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<383) - 31'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<383) - 31'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<383) - 31'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e383m421_6limbs.json b/src/Specific/CurveParameters/montgomery64_2e383m421_6limbs.json
index 7493a8a2f..49aa605d1 100644
--- a/src/Specific/CurveParameters/montgomery64_2e383m421_6limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e383m421_6limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x5b}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<383) - 421'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x5b}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<383) - 421'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x5b}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<383) - 421'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x5b}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<383) - 421'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e384m2e128m2e96p2e32m1_6limbs.json b/src/Specific/CurveParameters/montgomery64_2e384m2e128m2e96p2e32m1_6limbs.json
index d79fcf2f7..7c603f537 100644
--- a/src/Specific/CurveParameters/montgomery64_2e384m2e128m2e96p2e32m1_6limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e384m2e128m2e96p2e32m1_6limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<384) - (1_mpz<<128) - (1_mpz<<96) + (1_mpz<<32) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<384) - (1_mpz<<128) - (1_mpz<<96) + (1_mpz<<32) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<384) - (1_mpz<<128) - (1_mpz<<96) + (1_mpz<<32) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<384) - (1_mpz<<128) - (1_mpz<<96) + (1_mpz<<32) - 1'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e384m317_6limbs.json b/src/Specific/CurveParameters/montgomery64_2e384m317_6limbs.json
index 366a69f3f..1028e9cb0 100644
--- a/src/Specific/CurveParameters/montgomery64_2e384m317_6limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e384m317_6limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xc3}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<384) - 317'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xc3}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<384) - 317'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xc3}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<384) - 317'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xc3}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<384) - 317'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e384m5x2e368m1_6limbs.json b/src/Specific/CurveParameters/montgomery64_2e384m5x2e368m1_6limbs.json
index 271c1854f..6f94eadd6 100644
--- a/src/Specific/CurveParameters/montgomery64_2e384m5x2e368m1_6limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e384m5x2e368m1_6limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xfa,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<384) - 5*(1_mpz<<368) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xfa,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<384) - 5*(1_mpz<<368) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xfa,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<384) - 5*(1_mpz<<368) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xfa,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<384) - 5*(1_mpz<<368) - 1'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e384m79x2e376m1_6limbs.json b/src/Specific/CurveParameters/montgomery64_2e384m79x2e376m1_6limbs.json
index ea1faea78..b80335182 100644
--- a/src/Specific/CurveParameters/montgomery64_2e384m79x2e376m1_6limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e384m79x2e376m1_6limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0xb0,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<384) - 79*(1_mpz<<376) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0xb0,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<384) - 79*(1_mpz<<376) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0xb0,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<384) - 79*(1_mpz<<376) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64}' -Dmodulus_array='{0xb0,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<384) - 79*(1_mpz<<376) - 1'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e389m21_7limbs.json b/src/Specific/CurveParameters/montgomery64_2e389m21_7limbs.json
index 18dda32d8..e10f643b2 100644
--- a/src/Specific/CurveParameters/montgomery64_2e389m21_7limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e389m21_7limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='49' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<389) - 21'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='49' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<389) - 21'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='49' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<389) - 21'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='49' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<389) - 21'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e401m31_7limbs.json b/src/Specific/CurveParameters/montgomery64_2e401m31_7limbs.json
index 0ce32ed79..ea12e48c8 100644
--- a/src/Specific/CurveParameters/montgomery64_2e401m31_7limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e401m31_7limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='51' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<401) - 31'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='51' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<401) - 31'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='51' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<401) - 31'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='51' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<401) - 31'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e413m21_7limbs.json b/src/Specific/CurveParameters/montgomery64_2e413m21_7limbs.json
index 09be0c105..73186e814 100644
--- a/src/Specific/CurveParameters/montgomery64_2e413m21_7limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e413m21_7limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<413) - 21'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<413) - 21'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<413) - 21'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<413) - 21'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e414m17_7limbs.json b/src/Specific/CurveParameters/montgomery64_2e414m17_7limbs.json
index 734277078..7beb3729b 100644
--- a/src/Specific/CurveParameters/montgomery64_2e414m17_7limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e414m17_7limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<414) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<414) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<414) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<414) - 17'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e416m2e208m1_7limbs.json b/src/Specific/CurveParameters/montgomery64_2e416m2e208m1_7limbs.json
index e31c2098f..20a5f91ac 100644
--- a/src/Specific/CurveParameters/montgomery64_2e416m2e208m1_7limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e416m2e208m1_7limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<416) - (1_mpz<<208) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<416) - (1_mpz<<208) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<416) - (1_mpz<<208) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<416) - (1_mpz<<208) - 1'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e444m17_7limbs.json b/src/Specific/CurveParameters/montgomery64_2e444m17_7limbs.json
index b51e7aa81..6e124dd4a 100644
--- a/src/Specific/CurveParameters/montgomery64_2e444m17_7limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e444m17_7limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<444) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<444) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<444) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<444) - 17'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e448m2e224m1_7limbs.json b/src/Specific/CurveParameters/montgomery64_2e448m2e224m1_7limbs.json
index 475d77f40..31168c4cc 100644
--- a/src/Specific/CurveParameters/montgomery64_2e448m2e224m1_7limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e448m2e224m1_7limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<448) - (1_mpz<<224) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<448) - (1_mpz<<224) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<448) - (1_mpz<<224) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<448) - (1_mpz<<224) - 1'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e450m2e225m1_8limbs.json b/src/Specific/CurveParameters/montgomery64_2e450m2e225m1_8limbs.json
index a1b931fe6..9369afbbe 100644
--- a/src/Specific/CurveParameters/montgomery64_2e450m2e225m1_8limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e450m2e225m1_8limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<450) - (1_mpz<<225) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<450) - (1_mpz<<225) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<450) - (1_mpz<<225) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<450) - (1_mpz<<225) - 1'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e452m3_8limbs.json b/src/Specific/CurveParameters/montgomery64_2e452m3_8limbs.json
index f1c65f5d2..233e21edc 100644
--- a/src/Specific/CurveParameters/montgomery64_2e452m3_8limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e452m3_8limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<452) - 3'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<452) - 3'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<452) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<452) - 3'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e468m17_8limbs.json b/src/Specific/CurveParameters/montgomery64_2e468m17_8limbs.json
index 87cfcd1f7..b8a70589c 100644
--- a/src/Specific/CurveParameters/montgomery64_2e468m17_8limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e468m17_8limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='59' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<468) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='59' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<468) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='59' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<468) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='59' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<468) - 17'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e480m2e240m1_8limbs.json b/src/Specific/CurveParameters/montgomery64_2e480m2e240m1_8limbs.json
index e96cc2b6f..86cd52c31 100644
--- a/src/Specific/CurveParameters/montgomery64_2e480m2e240m1_8limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e480m2e240m1_8limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='60' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<480) - (1_mpz<<240) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='60' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<480) - (1_mpz<<240) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='60' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<480) - (1_mpz<<240) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='60' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<480) - (1_mpz<<240) - 1'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e488m17_8limbs.json b/src/Specific/CurveParameters/montgomery64_2e488m17_8limbs.json
index 3d1845257..3e1aabbb9 100644
--- a/src/Specific/CurveParameters/montgomery64_2e488m17_8limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e488m17_8limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='61' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<488) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='61' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<488) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='61' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<488) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='61' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<488) - 17'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e489m21_8limbs.json b/src/Specific/CurveParameters/montgomery64_2e489m21_8limbs.json
index d4d747837..bc2b7bd71 100644
--- a/src/Specific/CurveParameters/montgomery64_2e489m21_8limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e489m21_8limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<489) - 21'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<489) - 21'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<489) - 21'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<489) - 21'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e495m31_8limbs.json b/src/Specific/CurveParameters/montgomery64_2e495m31_8limbs.json
index 0563492ec..b7e788aa3 100644
--- a/src/Specific/CurveParameters/montgomery64_2e495m31_8limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e495m31_8limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<495) - 31'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<495) - 31'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<495) - 31'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<495) - 31'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e510m290x2e496m1_8limbs.json b/src/Specific/CurveParameters/montgomery64_2e510m290x2e496m1_8limbs.json
index 4f76cd99e..e01a9cc73 100644
--- a/src/Specific/CurveParameters/montgomery64_2e510m290x2e496m1_8limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e510m290x2e496m1_8limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x3e,0xdd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<510) - 290*(1_mpz<<496) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x3e,0xdd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<510) - 290*(1_mpz<<496) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x3e,0xdd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<510) - 290*(1_mpz<<496) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x3e,0xdd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<510) - 290*(1_mpz<<496) - 1'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e511m187_8limbs.json b/src/Specific/CurveParameters/montgomery64_2e511m187_8limbs.json
index 87c39de15..bd1ba0e5c 100644
--- a/src/Specific/CurveParameters/montgomery64_2e511m187_8limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e511m187_8limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<511) - 187'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<511) - 187'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<511) - 187'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<511) - 187'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e511m481_8limbs.json b/src/Specific/CurveParameters/montgomery64_2e511m481_8limbs.json
index 2cb97ccff..124071093 100644
--- a/src/Specific/CurveParameters/montgomery64_2e511m481_8limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e511m481_8limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x1f}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<511) - 481'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x1f}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<511) - 481'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x1f}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<511) - 481'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x1f}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<511) - 481'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e512m491x2e496m1_8limbs.json b/src/Specific/CurveParameters/montgomery64_2e512m491x2e496m1_8limbs.json
index a305e0706..4cb938c77 100644
--- a/src/Specific/CurveParameters/montgomery64_2e512m491x2e496m1_8limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e512m491x2e496m1_8limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0xfe,0x14,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<512) - 491*(1_mpz<<496) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0xfe,0x14,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<512) - 491*(1_mpz<<496) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0xfe,0x14,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<512) - 491*(1_mpz<<496) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0xfe,0x14,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<512) - 491*(1_mpz<<496) - 1'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e512m569_8limbs.json b/src/Specific/CurveParameters/montgomery64_2e512m569_8limbs.json
index 35c9c894f..738c18c1e 100644
--- a/src/Specific/CurveParameters/montgomery64_2e512m569_8limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e512m569_8limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xc7}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<512) - 569'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xc7}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<512) - 569'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xc7}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<512) - 569'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xc7}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<512) - 569'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/montgomery64_2e521m1_9limbs.json b/src/Specific/CurveParameters/montgomery64_2e521m1_9limbs.json
index 49b5e9ab3..e85b3fd47 100644
--- a/src/Specific/CurveParameters/montgomery64_2e521m1_9limbs.json
+++ b/src/Specific/CurveParameters/montgomery64_2e521m1_9limbs.json
@@ -1,7 +1,7 @@
 {
     "base": "64",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='66' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<521) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='66' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<521) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='66' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<521) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{64,64,64,64,64,64,64,64,64}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='66' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<521) - 1'",
     "extra_files": [
         "montgomery64/fesquare.c"
     ],
diff --git a/src/Specific/CurveParameters/nistp256_amd128.json b/src/Specific/CurveParameters/nistp256_amd128.json
index b1f62bc82..5f23c361e 100644
--- a/src/Specific/CurveParameters/nistp256_amd128.json
+++ b/src/Specific/CurveParameters/nistp256_amd128.json
@@ -5,5 +5,5 @@
     "bitwidth"             : "128",
     "montgomery"           : "true",
     "operations"           : ["fenz", "feadd", "femul", "feopp", "fesub"],
-    "compiler"             : "gcc -fno-peephole2 `#GCC BUG 81300` -march=native -mtune=native -std=gnu11 -O3 -flto -fomit-frame-pointer -fwrapv -Wno-attributes -Wno-incompatible-pointer-types -fno-strict-aliasing"
+    "compiler"             : "gcc -fno-peephole2 `#GCC BUG 81300` -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fomit-frame-pointer -fwrapv -Wno-attributes -Wno-incompatible-pointer-types -fno-strict-aliasing"
 }
diff --git a/src/Specific/CurveParameters/nistp256_amd64.json b/src/Specific/CurveParameters/nistp256_amd64.json
index 971b38f73..f2d377654 100644
--- a/src/Specific/CurveParameters/nistp256_amd64.json
+++ b/src/Specific/CurveParameters/nistp256_amd64.json
@@ -5,5 +5,5 @@
     "bitwidth"             : "64",
     "montgomery"           : "true",
     "operations"           : ["fenz", "feadd", "femul", "feopp", "fesub"],
-    "compiler"             : "gcc -fno-peephole2 `#GCC BUG 81300` -march=native -mtune=native -std=gnu11 -O3 -flto -fomit-frame-pointer -fwrapv -Wno-attributes -Wno-incompatible-pointer-types -fno-strict-aliasing"
+    "compiler"             : "gcc -fno-peephole2 `#GCC BUG 81300` -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fomit-frame-pointer -fwrapv -Wno-attributes -Wno-incompatible-pointer-types -fno-strict-aliasing"
 }
diff --git a/src/Specific/CurveParameters/solinas32_2e127m1_5limbs.json b/src/Specific/CurveParameters/solinas32_2e127m1_5limbs.json
index cf48a87bd..e12873d2f 100644
--- a/src/Specific/CurveParameters/solinas32_2e127m1_5limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e127m1_5limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,26,25,25}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='16' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<127) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,26,25,25}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='16' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<127) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,26,25,25}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='16' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<127) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,26,25,25}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='16' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<127) - 1'",
     "modulus": "2^127 - 1",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e127m1_6limbs.json b/src/Specific/CurveParameters/solinas32_2e127m1_6limbs.json
index 5b5ef58ac..b075c9a2a 100644
--- a/src/Specific/CurveParameters/solinas32_2e127m1_6limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e127m1_6limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,21,21,21}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='16' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<127) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,21,21,21}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='16' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<127) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,21,21,21}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='16' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<127) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,21,21,21}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='16' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<127) - 1'",
     "modulus": "2^127 - 1",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e129m25_5limbs.json b/src/Specific/CurveParameters/solinas32_2e129m25_5limbs.json
index 86c6be913..b45f044b6 100644
--- a/src/Specific/CurveParameters/solinas32_2e129m25_5limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e129m25_5limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,25}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<129) - 25'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,25}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<129) - 25'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,25}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<129) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,25}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<129) - 25'",
     "modulus": "2^129 - 25",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e129m25_6limbs.json b/src/Specific/CurveParameters/solinas32_2e129m25_6limbs.json
index 708f65cbe..87d579dcb 100644
--- a/src/Specific/CurveParameters/solinas32_2e129m25_6limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e129m25_6limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,22,21,22,21}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<129) - 25'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,22,21,22,21}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<129) - 25'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,22,21,22,21}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<129) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,22,21,22,21}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<129) - 25'",
     "modulus": "2^129 - 25",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e130m5_5limbs.json b/src/Specific/CurveParameters/solinas32_2e130m5_5limbs.json
index e9ddd79a7..22a9b17fe 100644
--- a/src/Specific/CurveParameters/solinas32_2e130m5_5limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e130m5_5limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<130) - 5'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<130) - 5'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<130) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<130) - 5'",
     "modulus": "2^130 - 5",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e130m5_6limbs.json b/src/Specific/CurveParameters/solinas32_2e130m5_6limbs.json
index 0d4d1b52b..a3430fbca 100644
--- a/src/Specific/CurveParameters/solinas32_2e130m5_6limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e130m5_6limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,21,22,22,21}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<130) - 5'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,21,22,22,21}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<130) - 5'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,21,22,22,21}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<130) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,21,22,22,21}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<130) - 5'",
     "modulus": "2^130 - 5",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e137m13_5limbs.json b/src/Specific/CurveParameters/solinas32_2e137m13_5limbs.json
index 3785b3303..ed84cd5a2 100644
--- a/src/Specific/CurveParameters/solinas32_2e137m13_5limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e137m13_5limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{28,27,28,27,27}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf3}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<137) - 13'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{28,27,28,27,27}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf3}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<137) - 13'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{28,27,28,27,27}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf3}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<137) - 13'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{28,27,28,27,27}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf3}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<137) - 13'",
     "modulus": "2^137 - 13",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e137m13_6limbs.json b/src/Specific/CurveParameters/solinas32_2e137m13_6limbs.json
index 16201caaf..2a957f085 100644
--- a/src/Specific/CurveParameters/solinas32_2e137m13_6limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e137m13_6limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,23,23,23,22}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf3}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<137) - 13'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,23,23,23,22}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf3}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<137) - 13'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,23,23,23,22}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf3}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<137) - 13'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,23,23,23,22}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf3}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<137) - 13'",
     "modulus": "2^137 - 13",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e140m27_6limbs.json b/src/Specific/CurveParameters/solinas32_2e140m27_6limbs.json
index 2ce15deee..74246a427 100644
--- a/src/Specific/CurveParameters/solinas32_2e140m27_6limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e140m27_6limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,23,24,23,23}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<140) - 27'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,23,24,23,23}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<140) - 27'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,23,24,23,23}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<140) - 27'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,23,24,23,23}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<140) - 27'",
     "modulus": "2^140 - 27",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e140m27_7limbs.json b/src/Specific/CurveParameters/solinas32_2e140m27_7limbs.json
index 74bb40fdf..831076f34 100644
--- a/src/Specific/CurveParameters/solinas32_2e140m27_7limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e140m27_7limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{20,20,20,20,20,20,20}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<140) - 27'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{20,20,20,20,20,20,20}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<140) - 27'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{20,20,20,20,20,20,20}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<140) - 27'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{20,20,20,20,20,20,20}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<140) - 27'",
     "modulus": "2^140 - 27",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e141m9_6limbs.json b/src/Specific/CurveParameters/solinas32_2e141m9_6limbs.json
index f889ce694..3d3deac77 100644
--- a/src/Specific/CurveParameters/solinas32_2e141m9_6limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e141m9_6limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,24,23,24,23}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<141) - 9'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,24,23,24,23}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<141) - 9'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,24,23,24,23}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<141) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,24,23,24,23}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<141) - 9'",
     "modulus": "2^141 - 9",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e141m9_7limbs.json b/src/Specific/CurveParameters/solinas32_2e141m9_7limbs.json
index 33f089f31..78f62b924 100644
--- a/src/Specific/CurveParameters/solinas32_2e141m9_7limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e141m9_7limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{21,20,20,20,20,20,20}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<141) - 9'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{21,20,20,20,20,20,20}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<141) - 9'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{21,20,20,20,20,20,20}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<141) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{21,20,20,20,20,20,20}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<141) - 9'",
     "modulus": "2^141 - 9",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e150m3_6limbs.json b/src/Specific/CurveParameters/solinas32_2e150m3_6limbs.json
index bdf2f5473..8ab8ce29c 100644
--- a/src/Specific/CurveParameters/solinas32_2e150m3_6limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e150m3_6limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,25,25,25}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<150) - 3'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,25,25,25}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<150) - 3'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,25,25,25}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<150) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,25,25,25}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<150) - 3'",
     "modulus": "2^150 - 3",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e150m3_7limbs.json b/src/Specific/CurveParameters/solinas32_2e150m3_7limbs.json
index 5b7253131..2164c1809 100644
--- a/src/Specific/CurveParameters/solinas32_2e150m3_7limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e150m3_7limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,22,21,22,21,21}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<150) - 3'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,22,21,22,21,21}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<150) - 3'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,22,21,22,21,21}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<150) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,22,21,22,21,21}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<150) - 3'",
     "modulus": "2^150 - 3",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e150m5_6limbs.json b/src/Specific/CurveParameters/solinas32_2e150m5_6limbs.json
index 5ba508c84..5ee6c1c9f 100644
--- a/src/Specific/CurveParameters/solinas32_2e150m5_6limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e150m5_6limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,25,25,25}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<150) - 5'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,25,25,25}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<150) - 5'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,25,25,25}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<150) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,25,25,25}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<150) - 5'",
     "modulus": "2^150 - 5",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e150m5_7limbs.json b/src/Specific/CurveParameters/solinas32_2e150m5_7limbs.json
index 5daa30beb..7adc0849a 100644
--- a/src/Specific/CurveParameters/solinas32_2e150m5_7limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e150m5_7limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,22,21,22,21,21}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<150) - 5'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,22,21,22,21,21}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<150) - 5'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,22,21,22,21,21}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<150) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,22,21,22,21,21}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<150) - 5'",
     "modulus": "2^150 - 5",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e152m17_6limbs.json b/src/Specific/CurveParameters/solinas32_2e152m17_6limbs.json
index 84c7e0697..d638cd288 100644
--- a/src/Specific/CurveParameters/solinas32_2e152m17_6limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e152m17_6limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,25,26,25,25}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<152) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,25,26,25,25}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<152) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,25,26,25,25}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<152) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,25,26,25,25}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<152) - 17'",
     "modulus": "2^152 - 17",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e152m17_7limbs.json b/src/Specific/CurveParameters/solinas32_2e152m17_7limbs.json
index 8d83b9cea..4c5557daa 100644
--- a/src/Specific/CurveParameters/solinas32_2e152m17_7limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e152m17_7limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,22,21,22,22,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<152) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,22,21,22,22,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<152) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,22,21,22,22,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<152) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,22,21,22,22,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<152) - 17'",
     "modulus": "2^152 - 17",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e158m15_6limbs.json b/src/Specific/CurveParameters/solinas32_2e158m15_6limbs.json
index 39cb344f2..f58ebff43 100644
--- a/src/Specific/CurveParameters/solinas32_2e158m15_6limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e158m15_6limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,26,26,27,26,26}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='20' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<158) - 15'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,26,26,27,26,26}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='20' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<158) - 15'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,26,26,27,26,26}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='20' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<158) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,26,26,27,26,26}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='20' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<158) - 15'",
     "modulus": "2^158 - 15",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e158m15_7limbs.json b/src/Specific/CurveParameters/solinas32_2e158m15_7limbs.json
index aebd232b6..5bb2f656c 100644
--- a/src/Specific/CurveParameters/solinas32_2e158m15_7limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e158m15_7limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,22,23,22,23,22}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='20' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<158) - 15'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,22,23,22,23,22}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='20' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<158) - 15'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,22,23,22,23,22}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='20' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<158) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,22,23,22,23,22}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='20' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<158) - 15'",
     "modulus": "2^158 - 15",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e165m25_7limbs.json b/src/Specific/CurveParameters/solinas32_2e165m25_7limbs.json
index 43680c2f5..c6c16ff61 100644
--- a/src/Specific/CurveParameters/solinas32_2e165m25_7limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e165m25_7limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,23,24,23,24,23}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<165) - 25'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,23,24,23,24,23}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<165) - 25'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,23,24,23,24,23}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<165) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,23,24,23,24,23}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<165) - 25'",
     "modulus": "2^165 - 25",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e165m25_8limbs.json b/src/Specific/CurveParameters/solinas32_2e165m25_8limbs.json
index c9ef0d684..4bd96de49 100644
--- a/src/Specific/CurveParameters/solinas32_2e165m25_8limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e165m25_8limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{21,21,20,21,21,20,21,20}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<165) - 25'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{21,21,20,21,21,20,21,20}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<165) - 25'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{21,21,20,21,21,20,21,20}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<165) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{21,21,20,21,21,20,21,20}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<165) - 25'",
     "modulus": "2^165 - 25",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e166m5_6limbs.json b/src/Specific/CurveParameters/solinas32_2e166m5_6limbs.json
index 6d5f06557..d5e7a6a74 100644
--- a/src/Specific/CurveParameters/solinas32_2e166m5_6limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e166m5_6limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{28,28,27,28,28,27}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<166) - 5'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{28,28,27,28,28,27}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<166) - 5'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{28,28,27,28,28,27}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<166) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{28,28,27,28,28,27}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<166) - 5'",
     "modulus": "2^166 - 5",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e166m5_7limbs.json b/src/Specific/CurveParameters/solinas32_2e166m5_7limbs.json
index 2bf480013..cc055068e 100644
--- a/src/Specific/CurveParameters/solinas32_2e166m5_7limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e166m5_7limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,23,24,24,23}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<166) - 5'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,23,24,24,23}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<166) - 5'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,23,24,24,23}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<166) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,23,24,24,23}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<166) - 5'",
     "modulus": "2^166 - 5",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e171m19_7limbs.json b/src/Specific/CurveParameters/solinas32_2e171m19_7limbs.json
index 477f711e6..f0cecef29 100644
--- a/src/Specific/CurveParameters/solinas32_2e171m19_7limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e171m19_7limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,25,24,25,24,24}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<171) - 19'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,25,24,25,24,24}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<171) - 19'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,25,24,25,24,24}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<171) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,25,24,25,24,24}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<171) - 19'",
     "modulus": "2^171 - 19",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e171m19_8limbs.json b/src/Specific/CurveParameters/solinas32_2e171m19_8limbs.json
index 3b3442d7e..b9c0b9190 100644
--- a/src/Specific/CurveParameters/solinas32_2e171m19_8limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e171m19_8limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,22,21,21,22,21,21}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<171) - 19'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,22,21,21,22,21,21}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<171) - 19'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,22,21,21,22,21,21}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<171) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,22,21,21,22,21,21}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<171) - 19'",
     "modulus": "2^171 - 19",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e174m17_7limbs.json b/src/Specific/CurveParameters/solinas32_2e174m17_7limbs.json
index 5c24d5447..b47a355d1 100644
--- a/src/Specific/CurveParameters/solinas32_2e174m17_7limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e174m17_7limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,25,25,25,24}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<174) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,25,25,25,24}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<174) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,25,25,25,24}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<174) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,25,25,25,24}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<174) - 17'",
     "modulus": "2^174 - 17",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e174m17_8limbs.json b/src/Specific/CurveParameters/solinas32_2e174m17_8limbs.json
index c7d91224f..3f95162d3 100644
--- a/src/Specific/CurveParameters/solinas32_2e174m17_8limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e174m17_8limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,22,21,22,22,22,21}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<174) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,22,21,22,22,22,21}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<174) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,22,21,22,22,22,21}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<174) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,22,21,22,22,22,21}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<174) - 17'",
     "modulus": "2^174 - 17",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e174m3_7limbs.json b/src/Specific/CurveParameters/solinas32_2e174m3_7limbs.json
index 8f5821680..68205243c 100644
--- a/src/Specific/CurveParameters/solinas32_2e174m3_7limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e174m3_7limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,25,25,25,24}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<174) - 3'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,25,25,25,24}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<174) - 3'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,25,25,25,24}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<174) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,25,25,25,24}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<174) - 3'",
     "modulus": "2^174 - 3",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e174m3_8limbs.json b/src/Specific/CurveParameters/solinas32_2e174m3_8limbs.json
index a03e3baad..ee287924d 100644
--- a/src/Specific/CurveParameters/solinas32_2e174m3_8limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e174m3_8limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,22,21,22,22,22,21}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<174) - 3'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,22,21,22,22,22,21}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<174) - 3'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,22,21,22,22,22,21}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<174) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,22,21,22,22,22,21}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<174) - 3'",
     "modulus": "2^174 - 3",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e189m25_7limbs.json b/src/Specific/CurveParameters/solinas32_2e189m25_7limbs.json
index affa9e54d..3a2d13841 100644
--- a/src/Specific/CurveParameters/solinas32_2e189m25_7limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e189m25_7limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,27,27,27,27,27}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<189) - 25'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,27,27,27,27,27}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<189) - 25'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,27,27,27,27,27}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<189) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,27,27,27,27,27}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<189) - 25'",
     "modulus": "2^189 - 25",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e189m25_8limbs.json b/src/Specific/CurveParameters/solinas32_2e189m25_8limbs.json
index a8b7c9b17..d1e910831 100644
--- a/src/Specific/CurveParameters/solinas32_2e189m25_8limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e189m25_8limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,23,24,24,23,24,23}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<189) - 25'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,23,24,24,23,24,23}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<189) - 25'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,23,24,24,23,24,23}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<189) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,23,24,24,23,24,23}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<189) - 25'",
     "modulus": "2^189 - 25",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e190m11_7limbs.json b/src/Specific/CurveParameters/solinas32_2e190m11_7limbs.json
index db6116a60..582557c80 100644
--- a/src/Specific/CurveParameters/solinas32_2e190m11_7limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e190m11_7limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{28,27,27,27,27,27,27}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf5}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<190) - 11'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{28,27,27,27,27,27,27}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf5}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<190) - 11'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{28,27,27,27,27,27,27}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf5}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<190) - 11'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{28,27,27,27,27,27,27}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf5}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<190) - 11'",
     "modulus": "2^190 - 11",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e190m11_8limbs.json b/src/Specific/CurveParameters/solinas32_2e190m11_8limbs.json
index 805aed9d6..817f3657d 100644
--- a/src/Specific/CurveParameters/solinas32_2e190m11_8limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e190m11_8limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,23,24,24,24,23}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf5}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<190) - 11'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,23,24,24,24,23}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf5}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<190) - 11'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,23,24,24,24,23}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf5}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<190) - 11'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,23,24,24,24,23}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf5}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<190) - 11'",
     "modulus": "2^190 - 11",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e191m19_8limbs.json b/src/Specific/CurveParameters/solinas32_2e191m19_8limbs.json
index ff9a92341..4472f2e8b 100644
--- a/src/Specific/CurveParameters/solinas32_2e191m19_8limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e191m19_8limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,24,24,24,24,23}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<191) - 19'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,24,24,24,24,23}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<191) - 19'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,24,24,24,24,23}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<191) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,24,24,24,24,23}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<191) - 19'",
     "modulus": "2^191 - 19",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e191m19_9limbs.json b/src/Specific/CurveParameters/solinas32_2e191m19_9limbs.json
index d79366584..2817729bc 100644
--- a/src/Specific/CurveParameters/solinas32_2e191m19_9limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e191m19_9limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,21,22,21,21,21,21}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<191) - 19'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,21,22,21,21,21,21}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<191) - 19'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,21,22,21,21,21,21}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<191) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,21,22,21,21,21,21}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<191) - 19'",
     "modulus": "2^191 - 19",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e192m2e64m1_10limbs.json b/src/Specific/CurveParameters/solinas32_2e192m2e64m1_10limbs.json
index 1f46dd51c..1f34734fd 100644
--- a/src/Specific/CurveParameters/solinas32_2e192m2e64m1_10limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e192m2e64m1_10limbs.json
@@ -24,8 +24,8 @@
         ]
     ],
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{20,19,19,19,19,20,19,19,19,19}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<192) - (1_mpz<<64) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{20,19,19,19,19,20,19,19,19,19}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<192) - (1_mpz<<64) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{20,19,19,19,19,20,19,19,19,19}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<192) - (1_mpz<<64) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{20,19,19,19,19,20,19,19,19,19}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<192) - (1_mpz<<64) - 1'",
     "modulus": "2^192 - 2^64 - 1",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e192m2e64m1_9limbs.json b/src/Specific/CurveParameters/solinas32_2e192m2e64m1_9limbs.json
index 0de6a11e5..0818a8b09 100644
--- a/src/Specific/CurveParameters/solinas32_2e192m2e64m1_9limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e192m2e64m1_9limbs.json
@@ -23,8 +23,8 @@
         ]
     ],
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<192) - (1_mpz<<64) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<192) - (1_mpz<<64) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<192) - (1_mpz<<64) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<192) - (1_mpz<<64) - 1'",
     "modulus": "2^192 - 2^64 - 1",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e194m33_8limbs.json b/src/Specific/CurveParameters/solinas32_2e194m33_8limbs.json
index 32e727225..b8f294ee7 100644
--- a/src/Specific/CurveParameters/solinas32_2e194m33_8limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e194m33_8limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,24,24,25,24,24,24}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xdf}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<194) - 33'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,24,24,25,24,24,24}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xdf}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<194) - 33'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,24,24,25,24,24,24}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xdf}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<194) - 33'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,24,24,25,24,24,24}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xdf}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<194) - 33'",
     "modulus": "2^194 - 33",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e194m33_9limbs.json b/src/Specific/CurveParameters/solinas32_2e194m33_9limbs.json
index f7f67389d..348820ac8 100644
--- a/src/Specific/CurveParameters/solinas32_2e194m33_9limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e194m33_9limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,21,22,21,22,21,22,21}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xdf}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<194) - 33'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,21,22,21,22,21,22,21}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xdf}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<194) - 33'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,21,22,21,22,21,22,21}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xdf}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<194) - 33'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,21,22,21,22,21,22,21}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xdf}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<194) - 33'",
     "modulus": "2^194 - 33",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e196m15_8limbs.json b/src/Specific/CurveParameters/solinas32_2e196m15_8limbs.json
index 2d63631ef..69a594b07 100644
--- a/src/Specific/CurveParameters/solinas32_2e196m15_8limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e196m15_8limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,25,24,25,24,25,24}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<196) - 15'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,25,24,25,24,25,24}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<196) - 15'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,25,24,25,24,25,24}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<196) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,25,24,25,24,25,24}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<196) - 15'",
     "modulus": "2^196 - 15",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e196m15_9limbs.json b/src/Specific/CurveParameters/solinas32_2e196m15_9limbs.json
index d7a661121..6e7b4b850 100644
--- a/src/Specific/CurveParameters/solinas32_2e196m15_9limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e196m15_9limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,22,22,21,22,22,22,21}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<196) - 15'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,22,22,21,22,22,22,21}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<196) - 15'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,22,22,21,22,22,22,21}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<196) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,22,22,21,22,22,22,21}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<196) - 15'",
     "modulus": "2^196 - 15",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e198m17_8limbs.json b/src/Specific/CurveParameters/solinas32_2e198m17_8limbs.json
index c6a175de3..d10b6c474 100644
--- a/src/Specific/CurveParameters/solinas32_2e198m17_8limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e198m17_8limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,24,25,25,25,24}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<198) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,24,25,25,25,24}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<198) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,24,25,25,25,24}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<198) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,24,25,25,25,24}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<198) - 17'",
     "modulus": "2^198 - 17",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e198m17_9limbs.json b/src/Specific/CurveParameters/solinas32_2e198m17_9limbs.json
index 1bdabfd6a..1e79e4eb8 100644
--- a/src/Specific/CurveParameters/solinas32_2e198m17_9limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e198m17_9limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,22,22,22,22,22,22,22}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<198) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,22,22,22,22,22,22,22}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<198) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,22,22,22,22,22,22,22}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<198) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,22,22,22,22,22,22,22}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<198) - 17'",
     "modulus": "2^198 - 17",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e206m5_8limbs.json b/src/Specific/CurveParameters/solinas32_2e206m5_8limbs.json
index f8658d0ea..1d9dee2b9 100644
--- a/src/Specific/CurveParameters/solinas32_2e206m5_8limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e206m5_8limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,25,26,26,26,25}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<206) - 5'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,25,26,26,26,25}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<206) - 5'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,25,26,26,26,25}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<206) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,25,26,26,26,25}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<206) - 5'",
     "modulus": "2^206 - 5",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e206m5_9limbs.json b/src/Specific/CurveParameters/solinas32_2e206m5_9limbs.json
index d48b79b15..fe560ee3c 100644
--- a/src/Specific/CurveParameters/solinas32_2e206m5_9limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e206m5_9limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,23,23,23,23,23,23,22}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<206) - 5'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,23,23,23,23,23,23,22}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<206) - 5'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,23,23,23,23,23,23,22}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<206) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,23,23,23,23,23,23,22}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<206) - 5'",
     "modulus": "2^206 - 5",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e212m29_8limbs.json b/src/Specific/CurveParameters/solinas32_2e212m29_8limbs.json
index bd04e397e..4e26e0899 100644
--- a/src/Specific/CurveParameters/solinas32_2e212m29_8limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e212m29_8limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,26,27,26,27,26,27,26}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe3}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<212) - 29'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,26,27,26,27,26,27,26}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe3}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<212) - 29'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,26,27,26,27,26,27,26}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe3}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<212) - 29'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,26,27,26,27,26,27,26}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe3}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<212) - 29'",
     "modulus": "2^212 - 29",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e212m29_9limbs.json b/src/Specific/CurveParameters/solinas32_2e212m29_9limbs.json
index 908888a41..525c4c4fa 100644
--- a/src/Specific/CurveParameters/solinas32_2e212m29_9limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e212m29_9limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,23,24,23,24,23,24,23}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe3}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<212) - 29'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,23,24,23,24,23,24,23}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe3}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<212) - 29'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,23,24,23,24,23,24,23}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe3}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<212) - 29'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,23,24,23,24,23,24,23}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe3}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<212) - 29'",
     "modulus": "2^212 - 29",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e213m3_8limbs.json b/src/Specific/CurveParameters/solinas32_2e213m3_8limbs.json
index d32c7f949..7ecc61d2b 100644
--- a/src/Specific/CurveParameters/solinas32_2e213m3_8limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e213m3_8limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,26,27,27,26,27,26}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<213) - 3'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,26,27,27,26,27,26}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<213) - 3'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,26,27,27,26,27,26}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<213) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,26,27,27,26,27,26}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<213) - 3'",
     "modulus": "2^213 - 3",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e213m3_9limbs.json b/src/Specific/CurveParameters/solinas32_2e213m3_9limbs.json
index c1631b80e..a58195664 100644
--- a/src/Specific/CurveParameters/solinas32_2e213m3_9limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e213m3_9limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,23,24,24,23,24,24,23}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<213) - 3'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,23,24,24,23,24,24,23}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<213) - 3'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,23,24,24,23,24,24,23}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<213) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,23,24,24,23,24,24,23}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<213) - 3'",
     "modulus": "2^213 - 3",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e216m2e108m1_10limbs.json b/src/Specific/CurveParameters/solinas32_2e216m2e108m1_10limbs.json
index 8cc465fc9..4c76d40e7 100644
--- a/src/Specific/CurveParameters/solinas32_2e216m2e108m1_10limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e216m2e108m1_10limbs.json
@@ -24,8 +24,8 @@
         ]
     ],
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,21,22,21,22,22,21,22,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<216) - (1_mpz<<108) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,21,22,21,22,22,21,22,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<216) - (1_mpz<<108) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,21,22,21,22,22,21,22,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<216) - (1_mpz<<108) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,22,21,22,21,22,22,21,22,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<216) - (1_mpz<<108) - 1'",
     "goldilocks": true,
     "modulus": "2^216 - 2^108 - 1",
     "operations": [
diff --git a/src/Specific/CurveParameters/solinas32_2e216m2e108m1_8limbs.json b/src/Specific/CurveParameters/solinas32_2e216m2e108m1_8limbs.json
index 6ef425278..45f2bcbaf 100644
--- a/src/Specific/CurveParameters/solinas32_2e216m2e108m1_8limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e216m2e108m1_8limbs.json
@@ -22,8 +22,8 @@
         ]
     ],
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,27,27,27,27,27,27}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<216) - (1_mpz<<108) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,27,27,27,27,27,27}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<216) - (1_mpz<<108) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,27,27,27,27,27,27}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<216) - (1_mpz<<108) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,27,27,27,27,27,27}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<216) - (1_mpz<<108) - 1'",
     "goldilocks": true,
     "modulus": "2^216 - 2^108 - 1",
     "operations": [
diff --git a/src/Specific/CurveParameters/solinas32_2e221m3_8limbs.json b/src/Specific/CurveParameters/solinas32_2e221m3_8limbs.json
index 4109103f1..9e8afa548 100644
--- a/src/Specific/CurveParameters/solinas32_2e221m3_8limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e221m3_8limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{28,28,27,28,28,27,28,27}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<221) - 3'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{28,28,27,28,28,27,28,27}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<221) - 3'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{28,28,27,28,28,27,28,27}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<221) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{28,28,27,28,28,27,28,27}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<221) - 3'",
     "modulus": "2^221 - 3",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e221m3_9limbs.json b/src/Specific/CurveParameters/solinas32_2e221m3_9limbs.json
index a419ccba3..6ef357cbe 100644
--- a/src/Specific/CurveParameters/solinas32_2e221m3_9limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e221m3_9limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,24,25,24,25,24,25,24}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<221) - 3'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,24,25,24,25,24,25,24}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<221) - 3'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,24,25,24,25,24,25,24}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<221) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,24,25,24,25,24,25,24}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<221) - 3'",
     "modulus": "2^221 - 3",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e222m117_10limbs.json b/src/Specific/CurveParameters/solinas32_2e222m117_10limbs.json
index a7314ddb5..70fd392bf 100644
--- a/src/Specific/CurveParameters/solinas32_2e222m117_10limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e222m117_10limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,22,22,22,22,23,22,22,22,22}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x8b}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<222) - 117'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,22,22,22,22,23,22,22,22,22}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x8b}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<222) - 117'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,22,22,22,22,23,22,22,22,22}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x8b}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<222) - 117'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,22,22,22,22,23,22,22,22,22}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x8b}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<222) - 117'",
     "modulus": "2^222 - 117",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e222m117_9limbs.json b/src/Specific/CurveParameters/solinas32_2e222m117_9limbs.json
index 484336fdf..bc3dd885e 100644
--- a/src/Specific/CurveParameters/solinas32_2e222m117_9limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e222m117_9limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,24,25,25,24,25,25,24}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x8b}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<222) - 117'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,24,25,25,24,25,25,24}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x8b}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<222) - 117'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,24,25,25,24,25,25,24}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x8b}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<222) - 117'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,24,25,25,24,25,25,24}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x8b}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<222) - 117'",
     "modulus": "2^222 - 117",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e224m2e96p1_10limbs.json b/src/Specific/CurveParameters/solinas32_2e224m2e96p1_10limbs.json
index bb8e1a5f4..6b710f160 100644
--- a/src/Specific/CurveParameters/solinas32_2e224m2e96p1_10limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e224m2e96p1_10limbs.json
@@ -24,8 +24,8 @@
         ]
     ],
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,22,23,22,22,23,22,23,22,22}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<224) - (1_mpz<<96) + 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,22,23,22,22,23,22,23,22,22}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<224) - (1_mpz<<96) + 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,22,23,22,22,23,22,23,22,22}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<224) - (1_mpz<<96) + 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,22,23,22,22,23,22,23,22,22}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<224) - (1_mpz<<96) + 1'",
     "modulus": "2^224 - 2^96 + 1",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e224m2e96p1_11limbs.json b/src/Specific/CurveParameters/solinas32_2e224m2e96p1_11limbs.json
index dd3d6bce3..d1922f745 100644
--- a/src/Specific/CurveParameters/solinas32_2e224m2e96p1_11limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e224m2e96p1_11limbs.json
@@ -25,8 +25,8 @@
         ]
     ],
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{21,20,21,20,20,21,20,20,21,20,20}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<224) - (1_mpz<<96) + 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{21,20,21,20,20,21,20,20,21,20,20}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<224) - (1_mpz<<96) + 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{21,20,21,20,20,21,20,20,21,20,20}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<224) - (1_mpz<<96) + 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{21,20,21,20,20,21,20,20,21,20,20}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<224) - (1_mpz<<96) + 1'",
     "modulus": "2^224 - 2^96 + 1",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e226m5_10limbs.json b/src/Specific/CurveParameters/solinas32_2e226m5_10limbs.json
index 3dffdad57..fbba962ce 100644
--- a/src/Specific/CurveParameters/solinas32_2e226m5_10limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e226m5_10limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,22,23,22,23,23,22,23,22}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<226) - 5'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,22,23,22,23,23,22,23,22}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<226) - 5'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,22,23,22,23,23,22,23,22}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<226) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,22,23,22,23,23,22,23,22}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<226) - 5'",
     "modulus": "2^226 - 5",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e226m5_9limbs.json b/src/Specific/CurveParameters/solinas32_2e226m5_9limbs.json
index 4a51291df..0f29ec8f9 100644
--- a/src/Specific/CurveParameters/solinas32_2e226m5_9limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e226m5_9limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,25,25,25,25,25,25,25}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<226) - 5'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,25,25,25,25,25,25,25}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<226) - 5'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,25,25,25,25,25,25,25}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<226) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,25,25,25,25,25,25,25}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<226) - 5'",
     "modulus": "2^226 - 5",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e230m27_10limbs.json b/src/Specific/CurveParameters/solinas32_2e230m27_10limbs.json
index 579e91bc8..01081541d 100644
--- a/src/Specific/CurveParameters/solinas32_2e230m27_10limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e230m27_10limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,23,23,23,23,23,23,23,23}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<230) - 27'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,23,23,23,23,23,23,23,23}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<230) - 27'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,23,23,23,23,23,23,23,23}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<230) - 27'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,23,23,23,23,23,23,23,23}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<230) - 27'",
     "modulus": "2^230 - 27",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e230m27_9limbs.json b/src/Specific/CurveParameters/solinas32_2e230m27_9limbs.json
index 2442317a4..3a740f494 100644
--- a/src/Specific/CurveParameters/solinas32_2e230m27_9limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e230m27_9limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,25,26,25,26,25,26,25}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<230) - 27'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,25,26,25,26,25,26,25}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<230) - 27'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,25,26,25,26,25,26,25}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<230) - 27'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,25,26,25,26,25,26,25}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<230) - 27'",
     "modulus": "2^230 - 27",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e235m15_10limbs.json b/src/Specific/CurveParameters/solinas32_2e235m15_10limbs.json
index 255e827e8..6ca1fc469 100644
--- a/src/Specific/CurveParameters/solinas32_2e235m15_10limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e235m15_10limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,24,23,24,23,24,23,24,23}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='30' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<235) - 15'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,24,23,24,23,24,23,24,23}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='30' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<235) - 15'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,24,23,24,23,24,23,24,23}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='30' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<235) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,24,23,24,23,24,23,24,23}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='30' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<235) - 15'",
     "modulus": "2^235 - 15",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e235m15_9limbs.json b/src/Specific/CurveParameters/solinas32_2e235m15_9limbs.json
index f21def19d..c49318a70 100644
--- a/src/Specific/CurveParameters/solinas32_2e235m15_9limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e235m15_9limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,26,26,26,26,26,26,26,26}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='30' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<235) - 15'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,26,26,26,26,26,26,26,26}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='30' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<235) - 15'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,26,26,26,26,26,26,26,26}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='30' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<235) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,26,26,26,26,26,26,26,26}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='30' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<235) - 15'",
     "modulus": "2^235 - 15",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e243m9_10limbs.json b/src/Specific/CurveParameters/solinas32_2e243m9_10limbs.json
index d3e19acfa..74e3e1dbe 100644
--- a/src/Specific/CurveParameters/solinas32_2e243m9_10limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e243m9_10limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,24,25,24,24,25,24,24,24}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='31' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<243) - 9'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,24,25,24,24,25,24,24,24}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='31' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<243) - 9'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,24,25,24,24,25,24,24,24}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='31' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<243) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,24,25,24,24,25,24,24,24}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='31' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<243) - 9'",
     "modulus": "2^243 - 9",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e243m9_9limbs.json b/src/Specific/CurveParameters/solinas32_2e243m9_9limbs.json
index dd5bf9f3d..815480794 100644
--- a/src/Specific/CurveParameters/solinas32_2e243m9_9limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e243m9_9limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,27,27,27,27,27,27,27}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='31' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<243) - 9'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,27,27,27,27,27,27,27}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='31' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<243) - 9'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,27,27,27,27,27,27,27}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='31' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<243) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,27,27,27,27,27,27,27}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='31' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<243) - 9'",
     "modulus": "2^243 - 9",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e251m9_10limbs.json b/src/Specific/CurveParameters/solinas32_2e251m9_10limbs.json
index 3a0dd22ed..ab9fad470 100644
--- a/src/Specific/CurveParameters/solinas32_2e251m9_10limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e251m9_10limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,25,25,25,25,25,25,25,25}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<251) - 9'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,25,25,25,25,25,25,25,25}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<251) - 9'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,25,25,25,25,25,25,25,25}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<251) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,25,25,25,25,25,25,25,25}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<251) - 9'",
     "modulus": "2^251 - 9",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e251m9_11limbs.json b/src/Specific/CurveParameters/solinas32_2e251m9_11limbs.json
index db8a9dcf5..f0419a8ef 100644
--- a/src/Specific/CurveParameters/solinas32_2e251m9_11limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e251m9_11limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,23,23,23,22,23,23,23,23,22}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<251) - 9'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,23,23,23,22,23,23,23,23,22}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<251) - 9'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,23,23,23,22,23,23,23,23,22}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<251) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,23,23,23,22,23,23,23,23,22}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<251) - 9'",
     "modulus": "2^251 - 9",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e255m19_10limbs.json b/src/Specific/CurveParameters/solinas32_2e255m19_10limbs.json
index f1b597b39..35a1c2bc2 100644
--- a/src/Specific/CurveParameters/solinas32_2e255m19_10limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e255m19_10limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,26,25,26,25,26,25,26,25}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<255) - 19'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,26,25,26,25,26,25,26,25}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<255) - 19'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,26,25,26,25,26,25,26,25}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<255) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,26,25,26,25,26,25,26,25}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<255) - 19'",
     "modulus": "2^255 - 19",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e255m19_10limbs_donna.json b/src/Specific/CurveParameters/solinas32_2e255m19_10limbs_donna.json
index 9e80be3db..3e56b84de 100644
--- a/src/Specific/CurveParameters/solinas32_2e255m19_10limbs_donna.json
+++ b/src/Specific/CurveParameters/solinas32_2e255m19_10limbs_donna.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,26,25,26,25,26,25,26,25}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<255) - 19'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,26,25,26,25,26,25,26,25}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<255) - 19'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,26,25,26,25,26,25,26,25}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<255) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,26,25,26,25,26,25,26,25}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<255) - 19'",
     "modulus": "2^255 - 19",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e255m19_11limbs.json b/src/Specific/CurveParameters/solinas32_2e255m19_11limbs.json
index 98e03eb06..f6601633e 100644
--- a/src/Specific/CurveParameters/solinas32_2e255m19_11limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e255m19_11limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,23,23,23,24,23,23,23,23,23}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<255) - 19'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,23,23,23,24,23,23,23,23,23}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<255) - 19'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,23,23,23,24,23,23,23,23,23}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<255) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,23,23,23,24,23,23,23,23,23}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<255) - 19'",
     "modulus": "2^255 - 19",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e255m765_12limbs.json b/src/Specific/CurveParameters/solinas32_2e255m765_12limbs.json
index 1e526286c..4ac048497 100644
--- a/src/Specific/CurveParameters/solinas32_2e255m765_12limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e255m765_12limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,21,22,21,21,21,22,21,21,21}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0x03}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<255) - 765'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,21,22,21,21,21,22,21,21,21}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0x03}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<255) - 765'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,21,22,21,21,21,22,21,21,21}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0x03}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<255) - 765'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,21,22,21,21,21,22,21,21,21}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0x03}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<255) - 765'",
     "modulus": "2^255 - 765",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e255m765_13limbs.json b/src/Specific/CurveParameters/solinas32_2e255m765_13limbs.json
index 4cc77fde2..c9bbad2b2 100644
--- a/src/Specific/CurveParameters/solinas32_2e255m765_13limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e255m765_13limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{20,20,19,20,20,19,20,19,20,20,19,20,19}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0x03}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<255) - 765'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{20,20,19,20,20,19,20,19,20,20,19,20,19}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0x03}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<255) - 765'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{20,20,19,20,20,19,20,19,20,20,19,20,19}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0x03}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<255) - 765'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{20,20,19,20,20,19,20,19,20,20,19,20,19}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0x03}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<255) - 765'",
     "modulus": "2^255 - 765",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e256m189_11limbs.json b/src/Specific/CurveParameters/solinas32_2e256m189_11limbs.json
index 8548d620f..20682262c 100644
--- a/src/Specific/CurveParameters/solinas32_2e256m189_11limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e256m189_11limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,23,24,23,23,23,24,23,23,23}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x43}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<256) - 189'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,23,24,23,23,23,24,23,23,23}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x43}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<256) - 189'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,23,24,23,23,23,24,23,23,23}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x43}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<256) - 189'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,23,24,23,23,23,24,23,23,23}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x43}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<256) - 189'",
     "modulus": "2^256 - 189",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e256m189_12limbs.json b/src/Specific/CurveParameters/solinas32_2e256m189_12limbs.json
index 73b928fd1..954a85c9a 100644
--- a/src/Specific/CurveParameters/solinas32_2e256m189_12limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e256m189_12limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21,22,21,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x43}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<256) - 189'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21,22,21,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x43}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<256) - 189'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21,22,21,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x43}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<256) - 189'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21,22,21,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x43}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<256) - 189'",
     "modulus": "2^256 - 189",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e256m2e224p2e192p2e96m1_11limbs.json b/src/Specific/CurveParameters/solinas32_2e256m2e224p2e192p2e96m1_11limbs.json
index 69f63e2cc..2507e7598 100644
--- a/src/Specific/CurveParameters/solinas32_2e256m2e224p2e192p2e96m1_11limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e256m2e224p2e192p2e96m1_11limbs.json
@@ -29,8 +29,8 @@
         ]
     ],
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,23,24,23,23,23,24,23,23,23}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<256) - (1_mpz<<224) + (1_mpz<<192) + (1_mpz<<96) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,23,24,23,23,23,24,23,23,23}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<256) - (1_mpz<<224) + (1_mpz<<192) + (1_mpz<<96) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,23,24,23,23,23,24,23,23,23}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<256) - (1_mpz<<224) + (1_mpz<<192) + (1_mpz<<96) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,23,24,23,23,23,24,23,23,23}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<256) - (1_mpz<<224) + (1_mpz<<192) + (1_mpz<<96) - 1'",
     "modulus": "2^256 - 2^224 + 2^192 + 2^96 - 1",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e256m2e224p2e192p2e96m1_12limbs.json b/src/Specific/CurveParameters/solinas32_2e256m2e224p2e192p2e96m1_12limbs.json
index e56f300ca..9775fc3f9 100644
--- a/src/Specific/CurveParameters/solinas32_2e256m2e224p2e192p2e96m1_12limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e256m2e224p2e192p2e96m1_12limbs.json
@@ -30,8 +30,8 @@
         ]
     ],
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21,22,21,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<256) - (1_mpz<<224) + (1_mpz<<192) + (1_mpz<<96) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21,22,21,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<256) - (1_mpz<<224) + (1_mpz<<192) + (1_mpz<<96) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21,22,21,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<256) - (1_mpz<<224) + (1_mpz<<192) + (1_mpz<<96) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21,22,21,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<256) - (1_mpz<<224) + (1_mpz<<192) + (1_mpz<<96) - 1'",
     "modulus": "2^256 - 2^224 + 2^192 + 2^96 - 1",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e256m2e32m977_12limbs.json b/src/Specific/CurveParameters/solinas32_2e256m2e32m977_12limbs.json
index 1af46e579..04c198b0a 100644
--- a/src/Specific/CurveParameters/solinas32_2e256m2e32m977_12limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e256m2e32m977_12limbs.json
@@ -26,8 +26,8 @@
         ]
     ],
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21,22,21,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<256) - (1_mpz<<32) - 977'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21,22,21,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<256) - (1_mpz<<32) - 977'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21,22,21,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<256) - (1_mpz<<32) - 977'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21,22,21,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<256) - (1_mpz<<32) - 977'",
     "modulus": "2^256 - 2^32 - 977",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e256m2e32m977_13limbs.json b/src/Specific/CurveParameters/solinas32_2e256m2e32m977_13limbs.json
index 31defa5e6..725b175e0 100644
--- a/src/Specific/CurveParameters/solinas32_2e256m2e32m977_13limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e256m2e32m977_13limbs.json
@@ -27,8 +27,8 @@
         ]
     ],
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{20,20,20,19,20,20,19,20,20,19,20,20,19}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<256) - (1_mpz<<32) - 977'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{20,20,20,19,20,20,19,20,20,19,20,20,19}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<256) - (1_mpz<<32) - 977'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{20,20,20,19,20,20,19,20,20,19,20,20,19}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<256) - (1_mpz<<32) - 977'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{20,20,20,19,20,20,19,20,20,19,20,20,19}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<256) - (1_mpz<<32) - 977'",
     "modulus": "2^256 - 2^32 - 977",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e266m3_10limbs.json b/src/Specific/CurveParameters/solinas32_2e266m3_10limbs.json
index 0c917d38d..cc6b92216 100644
--- a/src/Specific/CurveParameters/solinas32_2e266m3_10limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e266m3_10limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,26,27,26,27,27,26,27,26}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='34' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<266) - 3'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,26,27,26,27,27,26,27,26}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='34' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<266) - 3'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,26,27,26,27,27,26,27,26}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='34' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<266) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,26,27,26,27,27,26,27,26}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='34' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<266) - 3'",
     "modulus": "2^266 - 3",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e266m3_11limbs.json b/src/Specific/CurveParameters/solinas32_2e266m3_11limbs.json
index 2f92b8ac4..2737bed39 100644
--- a/src/Specific/CurveParameters/solinas32_2e266m3_11limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e266m3_11limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,24,24,24,25,24,24,24,24,24}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='34' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<266) - 3'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,24,24,24,25,24,24,24,24,24}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='34' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<266) - 3'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,24,24,24,25,24,24,24,24,24}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='34' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<266) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,24,24,24,25,24,24,24,24,24}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='34' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<266) - 3'",
     "modulus": "2^266 - 3",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e285m9_11limbs.json b/src/Specific/CurveParameters/solinas32_2e285m9_11limbs.json
index 1e3f856b8..5d586d87c 100644
--- a/src/Specific/CurveParameters/solinas32_2e285m9_11limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e285m9_11limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,26,26,26,26,25}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='36' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<285) - 9'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,26,26,26,26,25}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='36' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<285) - 9'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,26,26,26,26,25}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='36' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<285) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,26,26,26,26,25}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='36' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<285) - 9'",
     "modulus": "2^285 - 9",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e285m9_12limbs.json b/src/Specific/CurveParameters/solinas32_2e285m9_12limbs.json
index 1aa4d3c91..0d5ecf0ae 100644
--- a/src/Specific/CurveParameters/solinas32_2e285m9_12limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e285m9_12limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,23,24,24,24,23,24,24,24,23}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='36' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<285) - 9'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,23,24,24,24,23,24,24,24,23}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='36' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<285) - 9'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,23,24,24,24,23,24,24,24,23}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='36' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<285) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,23,24,24,24,23,24,24,24,23}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='36' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<285) - 9'",
     "modulus": "2^285 - 9",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e291m19_11limbs.json b/src/Specific/CurveParameters/solinas32_2e291m19_11limbs.json
index bf2a4f467..66770235d 100644
--- a/src/Specific/CurveParameters/solinas32_2e291m19_11limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e291m19_11limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,26,27,26,27,26,27,26,27,26,26}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='37' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<291) - 19'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,26,27,26,27,26,27,26,27,26,26}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='37' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<291) - 19'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,26,27,26,27,26,27,26,27,26,26}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='37' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<291) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,26,27,26,27,26,27,26,27,26,26}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='37' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<291) - 19'",
     "modulus": "2^291 - 19",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e291m19_12limbs.json b/src/Specific/CurveParameters/solinas32_2e291m19_12limbs.json
index 4e811afa4..ab6448309 100644
--- a/src/Specific/CurveParameters/solinas32_2e291m19_12limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e291m19_12limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,24,24,25,24,24,24,25,24,24,24}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='37' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<291) - 19'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,24,24,25,24,24,24,25,24,24,24}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='37' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<291) - 19'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,24,24,25,24,24,24,25,24,24,24}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='37' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<291) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,24,24,25,24,24,24,25,24,24,24}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='37' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<291) - 19'",
     "modulus": "2^291 - 19",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e321m9_12limbs.json b/src/Specific/CurveParameters/solinas32_2e321m9_12limbs.json
index 5c48d4f19..84e292b86 100644
--- a/src/Specific/CurveParameters/solinas32_2e321m9_12limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e321m9_12limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,27,26,27,27,27,26,27,27,27,26}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<321) - 9'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,27,26,27,27,27,26,27,27,27,26}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<321) - 9'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,27,26,27,27,27,26,27,27,27,26}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<321) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,27,26,27,27,27,26,27,27,27,26}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<321) - 9'",
     "modulus": "2^321 - 9",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e321m9_13limbs.json b/src/Specific/CurveParameters/solinas32_2e321m9_13limbs.json
index 85166fd68..232d3c57b 100644
--- a/src/Specific/CurveParameters/solinas32_2e321m9_13limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e321m9_13limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,24,25,25,24,25,25,24,25,25,24}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<321) - 9'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,24,25,25,24,25,25,24,25,25,24}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<321) - 9'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,24,25,25,24,25,25,24,25,25,24}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<321) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,24,25,25,24,25,25,24,25,25,24}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<321) - 9'",
     "modulus": "2^321 - 9",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e322m2e161m1_12limbs.json b/src/Specific/CurveParameters/solinas32_2e322m2e161m1_12limbs.json
index 5d8760b28..c36c16e41 100644
--- a/src/Specific/CurveParameters/solinas32_2e322m2e161m1_12limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e322m2e161m1_12limbs.json
@@ -26,8 +26,8 @@
         ]
     ],
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,27,27,27,26,27,27,27,27,27,26}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<322) - (1_mpz<<161) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,27,27,27,26,27,27,27,27,27,26}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<322) - (1_mpz<<161) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,27,27,27,26,27,27,27,27,27,26}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<322) - (1_mpz<<161) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,27,27,27,26,27,27,27,27,27,26}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<322) - (1_mpz<<161) - 1'",
     "goldilocks": true,
     "modulus": "2^322 - 2^161 - 1",
     "operations": [
diff --git a/src/Specific/CurveParameters/solinas32_2e322m2e161m1_14limbs.json b/src/Specific/CurveParameters/solinas32_2e322m2e161m1_14limbs.json
index 84b87bc81..14c82367d 100644
--- a/src/Specific/CurveParameters/solinas32_2e322m2e161m1_14limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e322m2e161m1_14limbs.json
@@ -28,8 +28,8 @@
         ]
     ],
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,23,23,23,23,23,23,23,23,23,23,23,23}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='14' -Dq_mpz='(1_mpz<<322) - (1_mpz<<161) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,23,23,23,23,23,23,23,23,23,23,23,23}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='14' -Dq_mpz='(1_mpz<<322) - (1_mpz<<161) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,23,23,23,23,23,23,23,23,23,23,23,23}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='14' -Dq_mpz='(1_mpz<<322) - (1_mpz<<161) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,23,23,23,23,23,23,23,23,23,23,23,23}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='14' -Dq_mpz='(1_mpz<<322) - (1_mpz<<161) - 1'",
     "goldilocks": true,
     "modulus": "2^322 - 2^161 - 1",
     "operations": [
diff --git a/src/Specific/CurveParameters/solinas32_2e336m17_13limbs.json b/src/Specific/CurveParameters/solinas32_2e336m17_13limbs.json
index 3b8b1c503..19609d2ab 100644
--- a/src/Specific/CurveParameters/solinas32_2e336m17_13limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e336m17_13limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,25,26,26,26,26,26,25}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<336) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,25,26,26,26,26,26,25}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<336) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,25,26,26,26,26,26,25}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<336) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,25,26,26,26,26,26,25}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<336) - 17'",
     "modulus": "2^336 - 17",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e336m17_14limbs.json b/src/Specific/CurveParameters/solinas32_2e336m17_14limbs.json
index fd1d490a1..2d00e1328 100644
--- a/src/Specific/CurveParameters/solinas32_2e336m17_14limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e336m17_14limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,24,24,24,24,24,24,24,24,24,24,24}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='14' -Dq_mpz='(1_mpz<<336) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,24,24,24,24,24,24,24,24,24,24,24}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='14' -Dq_mpz='(1_mpz<<336) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,24,24,24,24,24,24,24,24,24,24,24}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='14' -Dq_mpz='(1_mpz<<336) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,24,24,24,24,24,24,24,24,24,24,24}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='14' -Dq_mpz='(1_mpz<<336) - 17'",
     "modulus": "2^336 - 17",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e336m3_12limbs.json b/src/Specific/CurveParameters/solinas32_2e336m3_12limbs.json
index 167e79a3d..0ff0570ed 100644
--- a/src/Specific/CurveParameters/solinas32_2e336m3_12limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e336m3_12limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{28,28,28,28,28,28,28,28,28,28,28,28}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<336) - 3'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{28,28,28,28,28,28,28,28,28,28,28,28}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<336) - 3'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{28,28,28,28,28,28,28,28,28,28,28,28}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<336) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{28,28,28,28,28,28,28,28,28,28,28,28}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='12' -Dq_mpz='(1_mpz<<336) - 3'",
     "modulus": "2^336 - 3",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e336m3_13limbs.json b/src/Specific/CurveParameters/solinas32_2e336m3_13limbs.json
index 423fe608e..0da0303d5 100644
--- a/src/Specific/CurveParameters/solinas32_2e336m3_13limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e336m3_13limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,25,26,26,26,26,26,25}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<336) - 3'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,25,26,26,26,26,26,25}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<336) - 3'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,25,26,26,26,26,26,25}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<336) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,25,26,26,26,26,26,25}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<336) - 3'",
     "modulus": "2^336 - 3",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e338m15_13limbs.json b/src/Specific/CurveParameters/solinas32_2e338m15_13limbs.json
index 599cf1517..061fb521f 100644
--- a/src/Specific/CurveParameters/solinas32_2e338m15_13limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e338m15_13limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,26,26,26,26,26,26,26}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='43' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<338) - 15'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,26,26,26,26,26,26,26}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='43' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<338) - 15'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,26,26,26,26,26,26,26}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='43' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<338) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,26,26,26,26,26,26,26}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='43' -Dmodulus_limbs='13' -Dq_mpz='(1_mpz<<338) - 15'",
     "modulus": "2^338 - 15",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e338m15_14limbs.json b/src/Specific/CurveParameters/solinas32_2e338m15_14limbs.json
index 8bd3c11d9..40721c0c5 100644
--- a/src/Specific/CurveParameters/solinas32_2e338m15_14limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e338m15_14limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,24,24,24,24,24,25,24,24,24,24,24,24}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='43' -Dmodulus_limbs='14' -Dq_mpz='(1_mpz<<338) - 15'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,24,24,24,24,24,25,24,24,24,24,24,24}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='43' -Dmodulus_limbs='14' -Dq_mpz='(1_mpz<<338) - 15'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,24,24,24,24,24,25,24,24,24,24,24,24}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='43' -Dmodulus_limbs='14' -Dq_mpz='(1_mpz<<338) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,24,24,24,24,24,25,24,24,24,24,24,24}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='43' -Dmodulus_limbs='14' -Dq_mpz='(1_mpz<<338) - 15'",
     "modulus": "2^338 - 15",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e369m25_15limbs.json b/src/Specific/CurveParameters/solinas32_2e369m25_15limbs.json
index 7bf38e5e4..d4e0efe5d 100644
--- a/src/Specific/CurveParameters/solinas32_2e369m25_15limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e369m25_15limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,24,25,24,25,25,24,25,24,25,25,24,25,24}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='47' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<369) - 25'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,24,25,24,25,25,24,25,24,25,25,24,25,24}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='47' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<369) - 25'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,24,25,24,25,25,24,25,24,25,25,24,25,24}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='47' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<369) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,24,25,24,25,25,24,25,24,25,25,24,25,24}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='47' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<369) - 25'",
     "modulus": "2^369 - 25",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e369m25_16limbs.json b/src/Specific/CurveParameters/solinas32_2e369m25_16limbs.json
index cb150ee15..b1baa1cc6 100644
--- a/src/Specific/CurveParameters/solinas32_2e369m25_16limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e369m25_16limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='47' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<369) - 25'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='47' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<369) - 25'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='47' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<369) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='47' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<369) - 25'",
     "modulus": "2^369 - 25",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e379m19_15limbs.json b/src/Specific/CurveParameters/solinas32_2e379m19_15limbs.json
index 613d4abed..8148a1fad 100644
--- a/src/Specific/CurveParameters/solinas32_2e379m19_15limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e379m19_15limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,25,26,25,25,25,26,25,25,25,26,25,25,25}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<379) - 19'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,25,26,25,25,25,26,25,25,25,26,25,25,25}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<379) - 19'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,25,26,25,25,25,26,25,25,25,26,25,25,25}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<379) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,25,26,25,25,25,26,25,25,25,26,25,25,25}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<379) - 19'",
     "modulus": "2^379 - 19",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e379m19_16limbs.json b/src/Specific/CurveParameters/solinas32_2e379m19_16limbs.json
index 71ce6e94d..59b2baf40 100644
--- a/src/Specific/CurveParameters/solinas32_2e379m19_16limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e379m19_16limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,23,24,24,23,24,24,23,24,24,23,24,24,23}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<379) - 19'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,23,24,24,23,24,24,23,24,24,23,24,24,23}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<379) - 19'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,23,24,24,23,24,24,23,24,24,23,24,24,23}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<379) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,23,24,24,23,24,24,23,24,24,23,24,24,23}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<379) - 19'",
     "modulus": "2^379 - 19",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e382m105_16limbs.json b/src/Specific/CurveParameters/solinas32_2e382m105_16limbs.json
index 124e157d6..ef74f1084 100644
--- a/src/Specific/CurveParameters/solinas32_2e382m105_16limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e382m105_16limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,24,24,24,24,23,24,24,24,24,24,24,24,23}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x97}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<382) - 105'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,24,24,24,24,23,24,24,24,24,24,24,24,23}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x97}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<382) - 105'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,24,24,24,24,23,24,24,24,24,24,24,24,23}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x97}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<382) - 105'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,24,24,24,24,23,24,24,24,24,24,24,24,23}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x97}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<382) - 105'",
     "modulus": "2^382 - 105",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e382m105_17limbs.json b/src/Specific/CurveParameters/solinas32_2e382m105_17limbs.json
index a8d9c958c..3b7bd97f0 100644
--- a/src/Specific/CurveParameters/solinas32_2e382m105_17limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e382m105_17limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22,22}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x97}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<382) - 105'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22,22}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x97}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<382) - 105'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22,22}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x97}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<382) - 105'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22,22}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x97}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<382) - 105'",
     "modulus": "2^382 - 105",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e383m187_16limbs.json b/src/Specific/CurveParameters/solinas32_2e383m187_16limbs.json
index 8ad1bb3c1..b19693868 100644
--- a/src/Specific/CurveParameters/solinas32_2e383m187_16limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e383m187_16limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,23}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<383) - 187'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,23}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<383) - 187'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,23}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<383) - 187'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,23}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<383) - 187'",
     "modulus": "2^383 - 187",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e383m187_17limbs.json b/src/Specific/CurveParameters/solinas32_2e383m187_17limbs.json
index b6c050b38..433e1633e 100644
--- a/src/Specific/CurveParameters/solinas32_2e383m187_17limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e383m187_17limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<383) - 187'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<383) - 187'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<383) - 187'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<383) - 187'",
     "modulus": "2^383 - 187",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e383m31_15limbs.json b/src/Specific/CurveParameters/solinas32_2e383m31_15limbs.json
index 6d24f8791..a07433384 100644
--- a/src/Specific/CurveParameters/solinas32_2e383m31_15limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e383m31_15limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,25,26,25,26,25,26,25,26,25,26,25,26,25}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<383) - 31'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,25,26,25,26,25,26,25,26,25,26,25,26,25}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<383) - 31'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,25,26,25,26,25,26,25,26,25,26,25,26,25}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<383) - 31'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,25,26,25,26,25,26,25,26,25,26,25,26,25}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<383) - 31'",
     "modulus": "2^383 - 31",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e383m31_16limbs.json b/src/Specific/CurveParameters/solinas32_2e383m31_16limbs.json
index c2446698b..2e29c09a4 100644
--- a/src/Specific/CurveParameters/solinas32_2e383m31_16limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e383m31_16limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,23}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<383) - 31'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,23}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<383) - 31'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,23}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<383) - 31'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,23}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<383) - 31'",
     "modulus": "2^383 - 31",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e383m421_17limbs.json b/src/Specific/CurveParameters/solinas32_2e383m421_17limbs.json
index 33757dc1a..e406439ce 100644
--- a/src/Specific/CurveParameters/solinas32_2e383m421_17limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e383m421_17limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x5b}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<383) - 421'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x5b}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<383) - 421'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x5b}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<383) - 421'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x5b}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<383) - 421'",
     "modulus": "2^383 - 421",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e383m421_18limbs.json b/src/Specific/CurveParameters/solinas32_2e383m421_18limbs.json
index dda33401c..856e90744 100644
--- a/src/Specific/CurveParameters/solinas32_2e383m421_18limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e383m421_18limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,21,22,21,21,22,21,21,21,22,21,21,21}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x5b}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<383) - 421'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,21,22,21,21,22,21,21,21,22,21,21,21}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x5b}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<383) - 421'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,21,22,21,21,22,21,21,21,22,21,21,21}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x5b}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<383) - 421'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,21,22,21,21,22,21,21,21,22,21,21,21}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x5b}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<383) - 421'",
     "modulus": "2^383 - 421",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e384m2e128m2e96p2e32m1_18limbs.json b/src/Specific/CurveParameters/solinas32_2e384m2e128m2e96p2e32m1_18limbs.json
index 11643ede4..c7c3f1ef9 100644
--- a/src/Specific/CurveParameters/solinas32_2e384m2e128m2e96p2e32m1_18limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e384m2e128m2e96p2e32m1_18limbs.json
@@ -36,8 +36,8 @@
         ]
     ],
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21,22,21,21,22,21,21,22,21,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<384) - (1_mpz<<128) - (1_mpz<<96) + (1_mpz<<32) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21,22,21,21,22,21,21,22,21,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<384) - (1_mpz<<128) - (1_mpz<<96) + (1_mpz<<32) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21,22,21,21,22,21,21,22,21,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<384) - (1_mpz<<128) - (1_mpz<<96) + (1_mpz<<32) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21,22,21,21,22,21,21,22,21,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<384) - (1_mpz<<128) - (1_mpz<<96) + (1_mpz<<32) - 1'",
     "modulus": "2^384 - 2^128 - 2^96 + 2^32 - 1",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e384m2e128m2e96p2e32m1_19limbs.json b/src/Specific/CurveParameters/solinas32_2e384m2e128m2e96p2e32m1_19limbs.json
index 2ca10eccf..237e12f46 100644
--- a/src/Specific/CurveParameters/solinas32_2e384m2e128m2e96p2e32m1_19limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e384m2e128m2e96p2e32m1_19limbs.json
@@ -37,8 +37,8 @@
         ]
     ],
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{21,20,20,20,21,20,20,20,20,21,20,20,20,20,21,20,20,20,20}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='19' -Dq_mpz='(1_mpz<<384) - (1_mpz<<128) - (1_mpz<<96) + (1_mpz<<32) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{21,20,20,20,21,20,20,20,20,21,20,20,20,20,21,20,20,20,20}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='19' -Dq_mpz='(1_mpz<<384) - (1_mpz<<128) - (1_mpz<<96) + (1_mpz<<32) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{21,20,20,20,21,20,20,20,20,21,20,20,20,20,21,20,20,20,20}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='19' -Dq_mpz='(1_mpz<<384) - (1_mpz<<128) - (1_mpz<<96) + (1_mpz<<32) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{21,20,20,20,21,20,20,20,20,21,20,20,20,20,21,20,20,20,20}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='19' -Dq_mpz='(1_mpz<<384) - (1_mpz<<128) - (1_mpz<<96) + (1_mpz<<32) - 1'",
     "modulus": "2^384 - 2^128 - 2^96 + 2^32 - 1",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e384m317_17limbs.json b/src/Specific/CurveParameters/solinas32_2e384m317_17limbs.json
index 3351ffcfe..551be7cdb 100644
--- a/src/Specific/CurveParameters/solinas32_2e384m317_17limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e384m317_17limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,22,23,22,23,23,22,23,22,23,23,22,23,22,23,22}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xc3}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<384) - 317'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,22,23,22,23,23,22,23,22,23,23,22,23,22,23,22}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xc3}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<384) - 317'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,22,23,22,23,23,22,23,22,23,23,22,23,22,23,22}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xc3}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<384) - 317'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,23,22,23,22,23,23,22,23,22,23,23,22,23,22,23,22}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xc3}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<384) - 317'",
     "modulus": "2^384 - 317",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e384m317_18limbs.json b/src/Specific/CurveParameters/solinas32_2e384m317_18limbs.json
index 29926ac3f..8428d1606 100644
--- a/src/Specific/CurveParameters/solinas32_2e384m317_18limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e384m317_18limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21,22,21,21,22,21,21,22,21,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xc3}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<384) - 317'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21,22,21,21,22,21,21,22,21,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xc3}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<384) - 317'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21,22,21,21,22,21,21,22,21,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xc3}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<384) - 317'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21,22,21,21,22,21,21,22,21,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xc3}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<384) - 317'",
     "modulus": "2^384 - 317",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e389m21_15limbs.json b/src/Specific/CurveParameters/solinas32_2e389m21_15limbs.json
index c16abc1dd..e697307d8 100644
--- a/src/Specific/CurveParameters/solinas32_2e389m21_15limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e389m21_15limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,26,26,26,26,26,26,26,26,25}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='49' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<389) - 21'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,26,26,26,26,26,26,26,26,25}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='49' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<389) - 21'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,26,26,26,26,26,26,26,26,25}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='49' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<389) - 21'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,26,26,26,26,26,26,26,26,25}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='49' -Dmodulus_limbs='15' -Dq_mpz='(1_mpz<<389) - 21'",
     "modulus": "2^389 - 21",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e389m21_16limbs.json b/src/Specific/CurveParameters/solinas32_2e389m21_16limbs.json
index 276305e2f..48f1f8ea8 100644
--- a/src/Specific/CurveParameters/solinas32_2e389m21_16limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e389m21_16limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,24,25,24,24,25,24,24,25,24,24,25,24,24,24}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='49' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<389) - 21'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,24,25,24,24,25,24,24,25,24,24,25,24,24,24}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='49' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<389) - 21'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,24,25,24,24,25,24,24,25,24,24,25,24,24,24}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='49' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<389) - 21'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,24,25,24,24,25,24,24,25,24,24,25,24,24,24}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='49' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<389) - 21'",
     "modulus": "2^389 - 21",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e401m31_16limbs.json b/src/Specific/CurveParameters/solinas32_2e401m31_16limbs.json
index 06770c849..bd2eaa3d0 100644
--- a/src/Specific/CurveParameters/solinas32_2e401m31_16limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e401m31_16limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='51' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<401) - 31'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='51' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<401) - 31'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='51' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<401) - 31'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='51' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<401) - 31'",
     "modulus": "2^401 - 31",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e401m31_17limbs.json b/src/Specific/CurveParameters/solinas32_2e401m31_17limbs.json
index 1a17fc34e..b7348cf11 100644
--- a/src/Specific/CurveParameters/solinas32_2e401m31_17limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e401m31_17limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,23,24,23,24,24,23,24,23,24,24,23,24,23,24,23}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='51' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<401) - 31'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,23,24,23,24,24,23,24,23,24,24,23,24,23,24,23}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='51' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<401) - 31'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,23,24,23,24,24,23,24,23,24,24,23,24,23,24,23}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='51' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<401) - 31'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,23,24,23,24,24,23,24,23,24,24,23,24,23,24,23}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='51' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<401) - 31'",
     "modulus": "2^401 - 31",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e413m21_16limbs.json b/src/Specific/CurveParameters/solinas32_2e413m21_16limbs.json
index d30f2c982..2584aacb2 100644
--- a/src/Specific/CurveParameters/solinas32_2e413m21_16limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e413m21_16limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,25,26,26,26,26,25,26,26,26,26,25}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<413) - 21'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,25,26,26,26,26,25,26,26,26,26,25}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<413) - 21'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,25,26,26,26,26,25,26,26,26,26,25}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<413) - 21'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,25,26,26,26,26,25,26,26,26,26,25}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<413) - 21'",
     "modulus": "2^413 - 21",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e413m21_17limbs.json b/src/Specific/CurveParameters/solinas32_2e413m21_17limbs.json
index 0400417c5..51c85d13f 100644
--- a/src/Specific/CurveParameters/solinas32_2e413m21_17limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e413m21_17limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,24,25,24,24,25,24,24,24,25,24,24,25,24,24,24}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<413) - 21'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,24,25,24,24,25,24,24,24,25,24,24,25,24,24,24}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<413) - 21'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,24,25,24,24,25,24,24,24,25,24,24,25,24,24,24}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<413) - 21'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,24,25,24,24,25,24,24,24,25,24,24,25,24,24,24}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<413) - 21'",
     "modulus": "2^413 - 21",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e414m17_16limbs.json b/src/Specific/CurveParameters/solinas32_2e414m17_16limbs.json
index 9a045f1a2..10ca0b9f2 100644
--- a/src/Specific/CurveParameters/solinas32_2e414m17_16limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e414m17_16limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,26,25,26,26,26,26,26,26,26,25}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<414) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,26,25,26,26,26,26,26,26,26,25}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<414) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,26,25,26,26,26,26,26,26,26,25}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<414) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,26,25,26,26,26,26,26,26,26,25}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<414) - 17'",
     "modulus": "2^414 - 17",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e414m17_17limbs.json b/src/Specific/CurveParameters/solinas32_2e414m17_17limbs.json
index ec9d858af..207416e45 100644
--- a/src/Specific/CurveParameters/solinas32_2e414m17_17limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e414m17_17limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,25,24,24,25,24,24,25,24,24,25,24,24,25,24,24}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<414) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,25,24,24,25,24,24,25,24,24,25,24,24,25,24,24}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<414) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,25,24,24,25,24,24,25,24,24,25,24,24,25,24,24}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<414) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,25,24,24,25,24,24,25,24,24,25,24,24,25,24,24}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<414) - 17'",
     "modulus": "2^414 - 17",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e416m2e208m1_16limbs.json b/src/Specific/CurveParameters/solinas32_2e416m2e208m1_16limbs.json
index f1707574c..51660d8fc 100644
--- a/src/Specific/CurveParameters/solinas32_2e416m2e208m1_16limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e416m2e208m1_16limbs.json
@@ -30,8 +30,8 @@
         ]
     ],
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<416) - (1_mpz<<208) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<416) - (1_mpz<<208) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<416) - (1_mpz<<208) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<416) - (1_mpz<<208) - 1'",
     "goldilocks": true,
     "modulus": "2^416 - 2^208 - 1",
     "operations": [
diff --git a/src/Specific/CurveParameters/solinas32_2e416m2e208m1_18limbs.json b/src/Specific/CurveParameters/solinas32_2e416m2e208m1_18limbs.json
index 3ac51f2ac..c66ae6bc0 100644
--- a/src/Specific/CurveParameters/solinas32_2e416m2e208m1_18limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e416m2e208m1_18limbs.json
@@ -32,8 +32,8 @@
         ]
     ],
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,23,23,23,23,23,23,23,24,23,23,23,23,23,23,23,23}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<416) - (1_mpz<<208) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,23,23,23,23,23,23,23,24,23,23,23,23,23,23,23,23}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<416) - (1_mpz<<208) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,23,23,23,23,23,23,23,24,23,23,23,23,23,23,23,23}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<416) - (1_mpz<<208) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,23,23,23,23,23,23,23,24,23,23,23,23,23,23,23,23}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<416) - (1_mpz<<208) - 1'",
     "goldilocks": true,
     "modulus": "2^416 - 2^208 - 1",
     "operations": [
diff --git a/src/Specific/CurveParameters/solinas32_2e444m17_17limbs.json b/src/Specific/CurveParameters/solinas32_2e444m17_17limbs.json
index 72aacb454..f3d0d2901 100644
--- a/src/Specific/CurveParameters/solinas32_2e444m17_17limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e444m17_17limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,26,26,26,26,26,26,26,27,26,26,26,26,26,26,26,26}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<444) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,26,26,26,26,26,26,26,27,26,26,26,26,26,26,26,26}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<444) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,26,26,26,26,26,26,26,27,26,26,26,26,26,26,26,26}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<444) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,26,26,26,26,26,26,26,27,26,26,26,26,26,26,26,26}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<444) - 17'",
     "modulus": "2^444 - 17",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e444m17_18limbs.json b/src/Specific/CurveParameters/solinas32_2e444m17_18limbs.json
index 06cfc3365..94a29c93b 100644
--- a/src/Specific/CurveParameters/solinas32_2e444m17_18limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e444m17_18limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,24,25,25,24,25,25,24,25,25,24,25,25,24,25,25,24}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<444) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,24,25,25,24,25,25,24,25,25,24,25,25,24,25,25,24}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<444) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,24,25,25,24,25,25,24,25,25,24,25,25,24,25,25,24}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<444) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,24,25,25,24,25,25,24,25,25,24,25,25,24,25,25,24}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<444) - 17'",
     "modulus": "2^444 - 17",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e448m2e224m1_16limbs.json b/src/Specific/CurveParameters/solinas32_2e448m2e224m1_16limbs.json
index 98b16a2af..11046edf1 100644
--- a/src/Specific/CurveParameters/solinas32_2e448m2e224m1_16limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e448m2e224m1_16limbs.json
@@ -30,8 +30,8 @@
         ]
     ],
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<448) - (1_mpz<<224) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<448) - (1_mpz<<224) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<448) - (1_mpz<<224) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='16' -Dq_mpz='(1_mpz<<448) - (1_mpz<<224) - 1'",
     "goldilocks": true,
     "modulus": "2^448 - 2^224 - 1",
     "operations": [
diff --git a/src/Specific/CurveParameters/solinas32_2e448m2e224m1_18limbs.json b/src/Specific/CurveParameters/solinas32_2e448m2e224m1_18limbs.json
index 1a00569f5..7db3ab28c 100644
--- a/src/Specific/CurveParameters/solinas32_2e448m2e224m1_18limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e448m2e224m1_18limbs.json
@@ -32,8 +32,8 @@
         ]
     ],
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,25,25,25,25,25,24,25,25,25,25,25,25,25,25,24}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<448) - (1_mpz<<224) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,25,25,25,25,25,24,25,25,25,25,25,25,25,25,24}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<448) - (1_mpz<<224) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,25,25,25,25,25,24,25,25,25,25,25,25,25,25,24}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<448) - (1_mpz<<224) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,25,25,25,25,25,24,25,25,25,25,25,25,25,25,24}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<448) - (1_mpz<<224) - 1'",
     "goldilocks": true,
     "modulus": "2^448 - 2^224 - 1",
     "operations": [
diff --git a/src/Specific/CurveParameters/solinas32_2e450m2e225m1_18limbs.json b/src/Specific/CurveParameters/solinas32_2e450m2e225m1_18limbs.json
index 0e46370a4..bcc34ee60 100644
--- a/src/Specific/CurveParameters/solinas32_2e450m2e225m1_18limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e450m2e225m1_18limbs.json
@@ -32,8 +32,8 @@
         ]
     ],
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<450) - (1_mpz<<225) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<450) - (1_mpz<<225) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<450) - (1_mpz<<225) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<450) - (1_mpz<<225) - 1'",
     "goldilocks": true,
     "modulus": "2^450 - 2^225 - 1",
     "operations": [
diff --git a/src/Specific/CurveParameters/solinas32_2e450m2e225m1_20limbs.json b/src/Specific/CurveParameters/solinas32_2e450m2e225m1_20limbs.json
index dd3feeca6..14400f126 100644
--- a/src/Specific/CurveParameters/solinas32_2e450m2e225m1_20limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e450m2e225m1_20limbs.json
@@ -34,8 +34,8 @@
         ]
     ],
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='20' -Dq_mpz='(1_mpz<<450) - (1_mpz<<225) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='20' -Dq_mpz='(1_mpz<<450) - (1_mpz<<225) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='20' -Dq_mpz='(1_mpz<<450) - (1_mpz<<225) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='20' -Dq_mpz='(1_mpz<<450) - (1_mpz<<225) - 1'",
     "goldilocks": true,
     "modulus": "2^450 - 2^225 - 1",
     "operations": [
diff --git a/src/Specific/CurveParameters/solinas32_2e452m3_17limbs.json b/src/Specific/CurveParameters/solinas32_2e452m3_17limbs.json
index 03f722106..ee5066166 100644
--- a/src/Specific/CurveParameters/solinas32_2e452m3_17limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e452m3_17limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,26,27,26,27,27,26,27,26,27,27,26,27,26,27,26}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<452) - 3'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,26,27,26,27,27,26,27,26,27,27,26,27,26,27,26}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<452) - 3'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,26,27,26,27,27,26,27,26,27,27,26,27,26,27,26}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<452) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,26,27,26,27,27,26,27,26,27,27,26,27,26,27,26}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='17' -Dq_mpz='(1_mpz<<452) - 3'",
     "modulus": "2^452 - 3",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e452m3_18limbs.json b/src/Specific/CurveParameters/solinas32_2e452m3_18limbs.json
index 7b9429618..6633af1a7 100644
--- a/src/Specific/CurveParameters/solinas32_2e452m3_18limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e452m3_18limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,25,25,25,25,25,25,25,26,25,25,25,25,25,25,25,25}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<452) - 3'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,25,25,25,25,25,25,25,26,25,25,25,25,25,25,25,25}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<452) - 3'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,25,25,25,25,25,25,25,26,25,25,25,25,25,25,25,25}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<452) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,25,25,25,25,25,25,25,25,26,25,25,25,25,25,25,25,25}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<452) - 3'",
     "modulus": "2^452 - 3",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e468m17_18limbs.json b/src/Specific/CurveParameters/solinas32_2e468m17_18limbs.json
index 4b496767d..4e2e536b6 100644
--- a/src/Specific/CurveParameters/solinas32_2e468m17_18limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e468m17_18limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='59' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<468) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='59' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<468) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='59' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<468) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='59' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<468) - 17'",
     "modulus": "2^468 - 17",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e468m17_19limbs.json b/src/Specific/CurveParameters/solinas32_2e468m17_19limbs.json
index 769d3cd90..affc56260 100644
--- a/src/Specific/CurveParameters/solinas32_2e468m17_19limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e468m17_19limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,24,25,25,24,25,25,24,25,24,25,25,24,25,25,24,25,24}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='59' -Dmodulus_limbs='19' -Dq_mpz='(1_mpz<<468) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,24,25,25,24,25,25,24,25,24,25,25,24,25,25,24,25,24}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='59' -Dmodulus_limbs='19' -Dq_mpz='(1_mpz<<468) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,24,25,25,24,25,25,24,25,24,25,25,24,25,25,24,25,24}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='59' -Dmodulus_limbs='19' -Dq_mpz='(1_mpz<<468) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,24,25,25,24,25,25,24,25,24,25,25,24,25,25,24,25,24}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='59' -Dmodulus_limbs='19' -Dq_mpz='(1_mpz<<468) - 17'",
     "modulus": "2^468 - 17",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e480m2e240m1_18limbs.json b/src/Specific/CurveParameters/solinas32_2e480m2e240m1_18limbs.json
index 21331b2a4..1bd1432d9 100644
--- a/src/Specific/CurveParameters/solinas32_2e480m2e240m1_18limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e480m2e240m1_18limbs.json
@@ -32,8 +32,8 @@
         ]
     ],
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,26,27,27,26,27,27,26,27,27,26,27,27,26,27,27,26}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='60' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<480) - (1_mpz<<240) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,26,27,27,26,27,27,26,27,27,26,27,27,26,27,27,26}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='60' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<480) - (1_mpz<<240) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,26,27,27,26,27,27,26,27,27,26,27,27,26,27,27,26}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='60' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<480) - (1_mpz<<240) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,27,26,27,27,26,27,27,26,27,27,26,27,27,26,27,27,26}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='60' -Dmodulus_limbs='18' -Dq_mpz='(1_mpz<<480) - (1_mpz<<240) - 1'",
     "goldilocks": true,
     "modulus": "2^480 - 2^240 - 1",
     "operations": [
diff --git a/src/Specific/CurveParameters/solinas32_2e480m2e240m1_20limbs.json b/src/Specific/CurveParameters/solinas32_2e480m2e240m1_20limbs.json
index bc4c9afbb..45c027737 100644
--- a/src/Specific/CurveParameters/solinas32_2e480m2e240m1_20limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e480m2e240m1_20limbs.json
@@ -34,8 +34,8 @@
         ]
     ],
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='60' -Dmodulus_limbs='20' -Dq_mpz='(1_mpz<<480) - (1_mpz<<240) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='60' -Dmodulus_limbs='20' -Dq_mpz='(1_mpz<<480) - (1_mpz<<240) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='60' -Dmodulus_limbs='20' -Dq_mpz='(1_mpz<<480) - (1_mpz<<240) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='60' -Dmodulus_limbs='20' -Dq_mpz='(1_mpz<<480) - (1_mpz<<240) - 1'",
     "goldilocks": true,
     "modulus": "2^480 - 2^240 - 1",
     "operations": [
diff --git a/src/Specific/CurveParameters/solinas32_2e488m17_19limbs.json b/src/Specific/CurveParameters/solinas32_2e488m17_19limbs.json
index 210cb31c6..200bd4366 100644
--- a/src/Specific/CurveParameters/solinas32_2e488m17_19limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e488m17_19limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,25,26,26,25,26,26,25,26,26,25,26,26,25,26,26,25}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='61' -Dmodulus_limbs='19' -Dq_mpz='(1_mpz<<488) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,25,26,26,25,26,26,25,26,26,25,26,26,25,26,26,25}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='61' -Dmodulus_limbs='19' -Dq_mpz='(1_mpz<<488) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,25,26,26,25,26,26,25,26,26,25,26,26,25,26,26,25}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='61' -Dmodulus_limbs='19' -Dq_mpz='(1_mpz<<488) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,25,26,26,25,26,26,25,26,26,25,26,26,25,26,26,25}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='61' -Dmodulus_limbs='19' -Dq_mpz='(1_mpz<<488) - 17'",
     "modulus": "2^488 - 17",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e488m17_20limbs.json b/src/Specific/CurveParameters/solinas32_2e488m17_20limbs.json
index 4015eecc9..94d847b0c 100644
--- a/src/Specific/CurveParameters/solinas32_2e488m17_20limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e488m17_20limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,25,24,24,25,24,25,24,24,25,24,25,24,24,25,24,25,24,24}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='61' -Dmodulus_limbs='20' -Dq_mpz='(1_mpz<<488) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,25,24,24,25,24,25,24,24,25,24,25,24,24,25,24,25,24,24}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='61' -Dmodulus_limbs='20' -Dq_mpz='(1_mpz<<488) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,25,24,24,25,24,25,24,24,25,24,25,24,24,25,24,25,24,24}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='61' -Dmodulus_limbs='20' -Dq_mpz='(1_mpz<<488) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,25,24,24,25,24,25,24,24,25,24,25,24,24,25,24,25,24,24}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='61' -Dmodulus_limbs='20' -Dq_mpz='(1_mpz<<488) - 17'",
     "modulus": "2^488 - 17",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e489m21_19limbs.json b/src/Specific/CurveParameters/solinas32_2e489m21_19limbs.json
index 28b75ec24..63404b1f2 100644
--- a/src/Specific/CurveParameters/solinas32_2e489m21_19limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e489m21_19limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,25,26,26,26,25,26,26,26,25,26,26,26,25,26,26,25}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='19' -Dq_mpz='(1_mpz<<489) - 21'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,25,26,26,26,25,26,26,26,25,26,26,26,25,26,26,25}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='19' -Dq_mpz='(1_mpz<<489) - 21'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,25,26,26,26,25,26,26,26,25,26,26,26,25,26,26,25}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='19' -Dq_mpz='(1_mpz<<489) - 21'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{26,26,26,25,26,26,26,25,26,26,26,25,26,26,26,25,26,26,25}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='19' -Dq_mpz='(1_mpz<<489) - 21'",
     "modulus": "2^489 - 21",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e489m21_20limbs.json b/src/Specific/CurveParameters/solinas32_2e489m21_20limbs.json
index 339e587bb..a374c15b8 100644
--- a/src/Specific/CurveParameters/solinas32_2e489m21_20limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e489m21_20limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,25,24,25,24,25,24,25,24,24,25,24,25,24,25,24,25,24,24}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='20' -Dq_mpz='(1_mpz<<489) - 21'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,25,24,25,24,25,24,25,24,24,25,24,25,24,25,24,25,24,24}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='20' -Dq_mpz='(1_mpz<<489) - 21'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,25,24,25,24,25,24,25,24,24,25,24,25,24,25,24,25,24,24}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='20' -Dq_mpz='(1_mpz<<489) - 21'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,24,25,24,25,24,25,24,25,24,24,25,24,25,24,25,24,25,24,24}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='20' -Dq_mpz='(1_mpz<<489) - 21'",
     "modulus": "2^489 - 21",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e495m31_20limbs.json b/src/Specific/CurveParameters/solinas32_2e495m31_20limbs.json
index 1e4ab497d..3f994dacf 100644
--- a/src/Specific/CurveParameters/solinas32_2e495m31_20limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e495m31_20limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,24,25,25,25,24,25,25,25,24,25,25,25,24,25,25,25,24}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='20' -Dq_mpz='(1_mpz<<495) - 31'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,24,25,25,25,24,25,25,25,24,25,25,25,24,25,25,25,24}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='20' -Dq_mpz='(1_mpz<<495) - 31'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,24,25,25,25,24,25,25,25,24,25,25,25,24,25,25,25,24}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='20' -Dq_mpz='(1_mpz<<495) - 31'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{25,25,25,24,25,25,25,24,25,25,25,24,25,25,25,24,25,25,25,24}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='20' -Dq_mpz='(1_mpz<<495) - 31'",
     "modulus": "2^495 - 31",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e495m31_21limbs.json b/src/Specific/CurveParameters/solinas32_2e495m31_21limbs.json
index 4314eaf1a..f0ad2cfdb 100644
--- a/src/Specific/CurveParameters/solinas32_2e495m31_21limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e495m31_21limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,23,24,23,24,23,24,24,23,24,23,24,23,24,24,23,24,23,24,23}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='21' -Dq_mpz='(1_mpz<<495) - 31'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,23,24,23,24,23,24,24,23,24,23,24,23,24,24,23,24,23,24,23}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='21' -Dq_mpz='(1_mpz<<495) - 31'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,23,24,23,24,23,24,24,23,24,23,24,23,24,24,23,24,23,24,23}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='21' -Dq_mpz='(1_mpz<<495) - 31'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,24,23,24,23,24,23,24,24,23,24,23,24,23,24,24,23,24,23,24,23}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='21' -Dq_mpz='(1_mpz<<495) - 31'",
     "modulus": "2^495 - 31",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e511m187_22limbs.json b/src/Specific/CurveParameters/solinas32_2e511m187_22limbs.json
index ca1f272e5..7af745c9a 100644
--- a/src/Specific/CurveParameters/solinas32_2e511m187_22limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e511m187_22limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,23,23,24,23,23,23,24,23,23,23,23,24,23,23,23,24,23,23,23,23}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='22' -Dq_mpz='(1_mpz<<511) - 187'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,23,23,24,23,23,23,24,23,23,23,23,24,23,23,23,24,23,23,23,23}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='22' -Dq_mpz='(1_mpz<<511) - 187'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,23,23,24,23,23,23,24,23,23,23,23,24,23,23,23,24,23,23,23,23}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='22' -Dq_mpz='(1_mpz<<511) - 187'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{24,23,23,23,24,23,23,23,24,23,23,23,23,24,23,23,23,24,23,23,23,23}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='22' -Dq_mpz='(1_mpz<<511) - 187'",
     "modulus": "2^511 - 187",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e511m187_23limbs.json b/src/Specific/CurveParameters/solinas32_2e511m187_23limbs.json
index 82b8f298d..b24c65283 100644
--- a/src/Specific/CurveParameters/solinas32_2e511m187_23limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e511m187_23limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,22,22,22,23,22,22,22,22,23,22,22,22,23,22,22,22,22,23,22,22,22,22}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='23' -Dq_mpz='(1_mpz<<511) - 187'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,22,22,22,23,22,22,22,22,23,22,22,22,23,22,22,22,22,23,22,22,22,22}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='23' -Dq_mpz='(1_mpz<<511) - 187'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,22,22,22,23,22,22,22,22,23,22,22,22,23,22,22,22,22,23,22,22,22,22}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='23' -Dq_mpz='(1_mpz<<511) - 187'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,22,22,22,23,22,22,22,22,23,22,22,22,23,22,22,22,22,23,22,22,22,22}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='23' -Dq_mpz='(1_mpz<<511) - 187'",
     "modulus": "2^511 - 187",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e511m481_23limbs.json b/src/Specific/CurveParameters/solinas32_2e511m481_23limbs.json
index e6496abd3..384d3c547 100644
--- a/src/Specific/CurveParameters/solinas32_2e511m481_23limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e511m481_23limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,22,22,22,23,22,22,22,22,23,22,22,22,23,22,22,22,22,23,22,22,22,22}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x1f}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='23' -Dq_mpz='(1_mpz<<511) - 481'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,22,22,22,23,22,22,22,22,23,22,22,22,23,22,22,22,22,23,22,22,22,22}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x1f}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='23' -Dq_mpz='(1_mpz<<511) - 481'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,22,22,22,23,22,22,22,22,23,22,22,22,23,22,22,22,22,23,22,22,22,22}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x1f}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='23' -Dq_mpz='(1_mpz<<511) - 481'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{23,22,22,22,23,22,22,22,22,23,22,22,22,23,22,22,22,22,23,22,22,22,22}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x1f}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='23' -Dq_mpz='(1_mpz<<511) - 481'",
     "modulus": "2^511 - 481",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e511m481_24limbs.json b/src/Specific/CurveParameters/solinas32_2e511m481_24limbs.json
index 404e1c8b5..07083a778 100644
--- a/src/Specific/CurveParameters/solinas32_2e511m481_24limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e511m481_24limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21,21,22,21,21,22,21,21,21,22,21,21,22,21,21,21}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x1f}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='24' -Dq_mpz='(1_mpz<<511) - 481'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21,21,22,21,21,22,21,21,21,22,21,21,22,21,21,21}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x1f}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='24' -Dq_mpz='(1_mpz<<511) - 481'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21,21,22,21,21,22,21,21,21,22,21,21,22,21,21,21}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x1f}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='24' -Dq_mpz='(1_mpz<<511) - 481'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21,21,22,21,21,22,21,21,21,22,21,21,22,21,21,21}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x1f}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='24' -Dq_mpz='(1_mpz<<511) - 481'",
     "modulus": "2^511 - 481",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e512m569_24limbs.json b/src/Specific/CurveParameters/solinas32_2e512m569_24limbs.json
index 0c0a57ad8..e01a909c6 100644
--- a/src/Specific/CurveParameters/solinas32_2e512m569_24limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e512m569_24limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21,22,21,21,22,21,21,22,21,21,22,21,21,22,21,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xc7}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='24' -Dq_mpz='(1_mpz<<512) - 569'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21,22,21,21,22,21,21,22,21,21,22,21,21,22,21,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xc7}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='24' -Dq_mpz='(1_mpz<<512) - 569'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21,22,21,21,22,21,21,22,21,21,22,21,21,22,21,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xc7}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='24' -Dq_mpz='(1_mpz<<512) - 569'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{22,21,21,22,21,21,22,21,21,22,21,21,22,21,21,22,21,21,22,21,21,22,21,21}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xc7}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='24' -Dq_mpz='(1_mpz<<512) - 569'",
     "modulus": "2^512 - 569",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e512m569_25limbs.json b/src/Specific/CurveParameters/solinas32_2e512m569_25limbs.json
index 208f0e78e..26e3b15f0 100644
--- a/src/Specific/CurveParameters/solinas32_2e512m569_25limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e512m569_25limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{21,20,21,20,21,20,21,20,21,20,21,20,21,20,21,20,21,20,21,20,21,20,21,20,20}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xc7}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='25' -Dq_mpz='(1_mpz<<512) - 569'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{21,20,21,20,21,20,21,20,21,20,21,20,21,20,21,20,21,20,21,20,21,20,21,20,20}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xc7}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='25' -Dq_mpz='(1_mpz<<512) - 569'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{21,20,21,20,21,20,21,20,21,20,21,20,21,20,21,20,21,20,21,20,21,20,21,20,20}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xc7}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='25' -Dq_mpz='(1_mpz<<512) - 569'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{21,20,21,20,21,20,21,20,21,20,21,20,21,20,21,20,21,20,21,20,21,20,21,20,20}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xc7}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='25' -Dq_mpz='(1_mpz<<512) - 569'",
     "modulus": "2^512 - 569",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e521m1_19limbs.json b/src/Specific/CurveParameters/solinas32_2e521m1_19limbs.json
index 761c73e76..d386004b4 100644
--- a/src/Specific/CurveParameters/solinas32_2e521m1_19limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e521m1_19limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{28,27,28,27,28,27,27,28,27,28,27,28,27,27,28,27,28,27,27}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='66' -Dmodulus_limbs='19' -Dq_mpz='(1_mpz<<521) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{28,27,28,27,28,27,27,28,27,28,27,28,27,27,28,27,28,27,27}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='66' -Dmodulus_limbs='19' -Dq_mpz='(1_mpz<<521) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{28,27,28,27,28,27,27,28,27,28,27,28,27,27,28,27,28,27,27}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='66' -Dmodulus_limbs='19' -Dq_mpz='(1_mpz<<521) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{28,27,28,27,28,27,27,28,27,28,27,28,27,27,28,27,28,27,27}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='66' -Dmodulus_limbs='19' -Dq_mpz='(1_mpz<<521) - 1'",
     "modulus": "2^521 - 1",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas32_2e521m1_20limbs.json b/src/Specific/CurveParameters/solinas32_2e521m1_20limbs.json
index 2d7cc0e5b..6ec07b3b6 100644
--- a/src/Specific/CurveParameters/solinas32_2e521m1_20limbs.json
+++ b/src/Specific/CurveParameters/solinas32_2e521m1_20limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='66' -Dmodulus_limbs='20' -Dq_mpz='(1_mpz<<521) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='66' -Dmodulus_limbs='20' -Dq_mpz='(1_mpz<<521) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='66' -Dmodulus_limbs='20' -Dq_mpz='(1_mpz<<521) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='32' -Dlimb_weight_gaps_array='{27,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='66' -Dmodulus_limbs='20' -Dq_mpz='(1_mpz<<521) - 1'",
     "modulus": "2^521 - 1",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e127m1_3limbs.json b/src/Specific/CurveParameters/solinas64_2e127m1_3limbs.json
index 71fffcb8d..5cf4244f2 100644
--- a/src/Specific/CurveParameters/solinas64_2e127m1_3limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e127m1_3limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,42,42}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='16' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<127) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,42,42}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='16' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<127) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,42,42}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='16' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<127) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,42,42}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='16' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<127) - 1'",
     "modulus": "2^127 - 1",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e129m25_3limbs.json b/src/Specific/CurveParameters/solinas64_2e129m25_3limbs.json
index b3eb0558f..addd3ebff 100644
--- a/src/Specific/CurveParameters/solinas64_2e129m25_3limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e129m25_3limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,43,43}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<129) - 25'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,43,43}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<129) - 25'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,43,43}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<129) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,43,43}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<129) - 25'",
     "modulus": "2^129 - 25",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e129m25_4limbs.json b/src/Specific/CurveParameters/solinas64_2e129m25_4limbs.json
index c48745d11..2d5425445 100644
--- a/src/Specific/CurveParameters/solinas64_2e129m25_4limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e129m25_4limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{33,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<129) - 25'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{33,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<129) - 25'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{33,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<129) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{33,32,32,32}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<129) - 25'",
     "modulus": "2^129 - 25",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e130m5_3limbs.json b/src/Specific/CurveParameters/solinas64_2e130m5_3limbs.json
index 1d07c686a..d2595690b 100644
--- a/src/Specific/CurveParameters/solinas64_2e130m5_3limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e130m5_3limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{44,43,43}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<130) - 5'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{44,43,43}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<130) - 5'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{44,43,43}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<130) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{44,43,43}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<130) - 5'",
     "modulus": "2^130 - 5",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e130m5_4limbs.json b/src/Specific/CurveParameters/solinas64_2e130m5_4limbs.json
index 1aee236bd..e7d2c4998 100644
--- a/src/Specific/CurveParameters/solinas64_2e130m5_4limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e130m5_4limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{33,32,33,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<130) - 5'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{33,32,33,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<130) - 5'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{33,32,33,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<130) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{33,32,33,32}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='17' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<130) - 5'",
     "modulus": "2^130 - 5",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e137m13_3limbs.json b/src/Specific/CurveParameters/solinas64_2e137m13_3limbs.json
index 4deaccf4d..2da50025e 100644
--- a/src/Specific/CurveParameters/solinas64_2e137m13_3limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e137m13_3limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{46,46,45}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf3}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<137) - 13'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{46,46,45}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf3}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<137) - 13'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{46,46,45}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf3}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<137) - 13'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{46,46,45}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf3}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<137) - 13'",
     "modulus": "2^137 - 13",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e137m13_4limbs.json b/src/Specific/CurveParameters/solinas64_2e137m13_4limbs.json
index 1110f32e6..1704a8552 100644
--- a/src/Specific/CurveParameters/solinas64_2e137m13_4limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e137m13_4limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{35,34,34,34}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf3}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<137) - 13'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{35,34,34,34}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf3}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<137) - 13'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{35,34,34,34}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf3}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<137) - 13'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{35,34,34,34}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf3}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<137) - 13'",
     "modulus": "2^137 - 13",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e140m27_3limbs.json b/src/Specific/CurveParameters/solinas64_2e140m27_3limbs.json
index c82175818..16db9692e 100644
--- a/src/Specific/CurveParameters/solinas64_2e140m27_3limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e140m27_3limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,47,46}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<140) - 27'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,47,46}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<140) - 27'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,47,46}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<140) - 27'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,47,46}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<140) - 27'",
     "modulus": "2^140 - 27",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e140m27_4limbs.json b/src/Specific/CurveParameters/solinas64_2e140m27_4limbs.json
index d1f915fbf..afb913748 100644
--- a/src/Specific/CurveParameters/solinas64_2e140m27_4limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e140m27_4limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{35,35,35,35}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<140) - 27'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{35,35,35,35}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<140) - 27'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{35,35,35,35}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<140) - 27'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{35,35,35,35}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<140) - 27'",
     "modulus": "2^140 - 27",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e141m9_3limbs.json b/src/Specific/CurveParameters/solinas64_2e141m9_3limbs.json
index 195efb52b..ae0f4204e 100644
--- a/src/Specific/CurveParameters/solinas64_2e141m9_3limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e141m9_3limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,47,47}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<141) - 9'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,47,47}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<141) - 9'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,47,47}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<141) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,47,47}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<141) - 9'",
     "modulus": "2^141 - 9",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e141m9_4limbs.json b/src/Specific/CurveParameters/solinas64_2e141m9_4limbs.json
index ee5d7c6b0..22a8bebfa 100644
--- a/src/Specific/CurveParameters/solinas64_2e141m9_4limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e141m9_4limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{36,35,35,35}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<141) - 9'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{36,35,35,35}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<141) - 9'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{36,35,35,35}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<141) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{36,35,35,35}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='18' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<141) - 9'",
     "modulus": "2^141 - 9",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e150m3_3limbs.json b/src/Specific/CurveParameters/solinas64_2e150m3_3limbs.json
index 0d8e887dd..f767a8770 100644
--- a/src/Specific/CurveParameters/solinas64_2e150m3_3limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e150m3_3limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{50,50,50}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<150) - 3'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{50,50,50}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<150) - 3'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{50,50,50}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<150) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{50,50,50}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<150) - 3'",
     "modulus": "2^150 - 3",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e150m3_4limbs.json b/src/Specific/CurveParameters/solinas64_2e150m3_4limbs.json
index 1de1f9778..ebce996bb 100644
--- a/src/Specific/CurveParameters/solinas64_2e150m3_4limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e150m3_4limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{38,37,38,37}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<150) - 3'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{38,37,38,37}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<150) - 3'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{38,37,38,37}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<150) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{38,37,38,37}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<150) - 3'",
     "modulus": "2^150 - 3",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e150m5_3limbs.json b/src/Specific/CurveParameters/solinas64_2e150m5_3limbs.json
index eb1b023a4..119e33baf 100644
--- a/src/Specific/CurveParameters/solinas64_2e150m5_3limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e150m5_3limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{50,50,50}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<150) - 5'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{50,50,50}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<150) - 5'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{50,50,50}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<150) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{50,50,50}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<150) - 5'",
     "modulus": "2^150 - 5",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e150m5_4limbs.json b/src/Specific/CurveParameters/solinas64_2e150m5_4limbs.json
index d4463fed3..771026afe 100644
--- a/src/Specific/CurveParameters/solinas64_2e150m5_4limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e150m5_4limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{38,37,38,37}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<150) - 5'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{38,37,38,37}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<150) - 5'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{38,37,38,37}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<150) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{38,37,38,37}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<150) - 5'",
     "modulus": "2^150 - 5",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e152m17_3limbs.json b/src/Specific/CurveParameters/solinas64_2e152m17_3limbs.json
index cb1fb3b3f..60e945d28 100644
--- a/src/Specific/CurveParameters/solinas64_2e152m17_3limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e152m17_3limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{51,51,50}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<152) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{51,51,50}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<152) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{51,51,50}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<152) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{51,51,50}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<152) - 17'",
     "modulus": "2^152 - 17",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e152m17_4limbs.json b/src/Specific/CurveParameters/solinas64_2e152m17_4limbs.json
index 3511dc17b..ba25adf75 100644
--- a/src/Specific/CurveParameters/solinas64_2e152m17_4limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e152m17_4limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{38,38,38,38}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<152) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{38,38,38,38}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<152) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{38,38,38,38}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<152) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{38,38,38,38}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='19' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<152) - 17'",
     "modulus": "2^152 - 17",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e158m15_3limbs.json b/src/Specific/CurveParameters/solinas64_2e158m15_3limbs.json
index 98a99635c..0141f076f 100644
--- a/src/Specific/CurveParameters/solinas64_2e158m15_3limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e158m15_3limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{53,53,52}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='20' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<158) - 15'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{53,53,52}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='20' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<158) - 15'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{53,53,52}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='20' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<158) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{53,53,52}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='20' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<158) - 15'",
     "modulus": "2^158 - 15",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e158m15_4limbs.json b/src/Specific/CurveParameters/solinas64_2e158m15_4limbs.json
index 158a19093..3df2c2819 100644
--- a/src/Specific/CurveParameters/solinas64_2e158m15_4limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e158m15_4limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{40,39,40,39}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='20' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<158) - 15'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{40,39,40,39}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='20' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<158) - 15'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{40,39,40,39}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='20' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<158) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{40,39,40,39}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='20' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<158) - 15'",
     "modulus": "2^158 - 15",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e165m25_3limbs.json b/src/Specific/CurveParameters/solinas64_2e165m25_3limbs.json
index 563d9c0e5..338e4a32d 100644
--- a/src/Specific/CurveParameters/solinas64_2e165m25_3limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e165m25_3limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,55,55}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<165) - 25'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,55,55}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<165) - 25'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,55,55}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<165) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,55,55}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<165) - 25'",
     "modulus": "2^165 - 25",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e165m25_4limbs.json b/src/Specific/CurveParameters/solinas64_2e165m25_4limbs.json
index 66e424dd3..76667a97b 100644
--- a/src/Specific/CurveParameters/solinas64_2e165m25_4limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e165m25_4limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{42,41,41,41}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<165) - 25'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{42,41,41,41}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<165) - 25'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{42,41,41,41}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<165) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{42,41,41,41}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<165) - 25'",
     "modulus": "2^165 - 25",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e166m5_3limbs.json b/src/Specific/CurveParameters/solinas64_2e166m5_3limbs.json
index 3df3117bc..80e6af3a2 100644
--- a/src/Specific/CurveParameters/solinas64_2e166m5_3limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e166m5_3limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,55,55}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<166) - 5'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,55,55}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<166) - 5'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,55,55}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<166) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,55,55}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<166) - 5'",
     "modulus": "2^166 - 5",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e166m5_4limbs.json b/src/Specific/CurveParameters/solinas64_2e166m5_4limbs.json
index 415919f84..25fa27866 100644
--- a/src/Specific/CurveParameters/solinas64_2e166m5_4limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e166m5_4limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{42,41,42,41}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<166) - 5'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{42,41,42,41}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<166) - 5'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{42,41,42,41}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<166) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{42,41,42,41}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='21' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<166) - 5'",
     "modulus": "2^166 - 5",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e171m19_3limbs.json b/src/Specific/CurveParameters/solinas64_2e171m19_3limbs.json
index 0a1f4e135..d583daa4b 100644
--- a/src/Specific/CurveParameters/solinas64_2e171m19_3limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e171m19_3limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{57,57,57}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<171) - 19'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{57,57,57}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<171) - 19'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{57,57,57}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<171) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{57,57,57}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<171) - 19'",
     "modulus": "2^171 - 19",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e171m19_4limbs.json b/src/Specific/CurveParameters/solinas64_2e171m19_4limbs.json
index b30b71b02..10be98269 100644
--- a/src/Specific/CurveParameters/solinas64_2e171m19_4limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e171m19_4limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,43,43,42}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<171) - 19'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,43,43,42}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<171) - 19'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,43,43,42}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<171) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,43,43,42}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<171) - 19'",
     "modulus": "2^171 - 19",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e174m17_3limbs.json b/src/Specific/CurveParameters/solinas64_2e174m17_3limbs.json
index ade251c7f..ef20cda6c 100644
--- a/src/Specific/CurveParameters/solinas64_2e174m17_3limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e174m17_3limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{58,58,58}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<174) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{58,58,58}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<174) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{58,58,58}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<174) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{58,58,58}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<174) - 17'",
     "modulus": "2^174 - 17",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e174m17_4limbs.json b/src/Specific/CurveParameters/solinas64_2e174m17_4limbs.json
index 4a9338332..803863fd7 100644
--- a/src/Specific/CurveParameters/solinas64_2e174m17_4limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e174m17_4limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{44,43,44,43}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<174) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{44,43,44,43}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<174) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{44,43,44,43}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<174) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{44,43,44,43}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<174) - 17'",
     "modulus": "2^174 - 17",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e174m3_3limbs.json b/src/Specific/CurveParameters/solinas64_2e174m3_3limbs.json
index 39027a3af..002380242 100644
--- a/src/Specific/CurveParameters/solinas64_2e174m3_3limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e174m3_3limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{58,58,58}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<174) - 3'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{58,58,58}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<174) - 3'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{58,58,58}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<174) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{58,58,58}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='3' -Dq_mpz='(1_mpz<<174) - 3'",
     "modulus": "2^174 - 3",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e174m3_4limbs.json b/src/Specific/CurveParameters/solinas64_2e174m3_4limbs.json
index 3dcdeaf6f..593b3c3ba 100644
--- a/src/Specific/CurveParameters/solinas64_2e174m3_4limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e174m3_4limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{44,43,44,43}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<174) - 3'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{44,43,44,43}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<174) - 3'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{44,43,44,43}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<174) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{44,43,44,43}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='22' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<174) - 3'",
     "modulus": "2^174 - 3",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e189m25_4limbs.json b/src/Specific/CurveParameters/solinas64_2e189m25_4limbs.json
index 0b27d93a9..7d2f69ef4 100644
--- a/src/Specific/CurveParameters/solinas64_2e189m25_4limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e189m25_4limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,47,47,47}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<189) - 25'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,47,47,47}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<189) - 25'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,47,47,47}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<189) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,47,47,47}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<189) - 25'",
     "modulus": "2^189 - 25",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e189m25_5limbs.json b/src/Specific/CurveParameters/solinas64_2e189m25_5limbs.json
index ca7dc7628..1fbe696bd 100644
--- a/src/Specific/CurveParameters/solinas64_2e189m25_5limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e189m25_5limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{38,38,38,38,37}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<189) - 25'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{38,38,38,38,37}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<189) - 25'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{38,38,38,38,37}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<189) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{38,38,38,38,37}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<189) - 25'",
     "modulus": "2^189 - 25",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e190m11_4limbs.json b/src/Specific/CurveParameters/solinas64_2e190m11_4limbs.json
index c95574c63..3aa985dae 100644
--- a/src/Specific/CurveParameters/solinas64_2e190m11_4limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e190m11_4limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,47,48,47}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf5}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<190) - 11'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,47,48,47}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf5}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<190) - 11'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,47,48,47}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf5}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<190) - 11'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,47,48,47}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf5}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<190) - 11'",
     "modulus": "2^190 - 11",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e190m11_5limbs.json b/src/Specific/CurveParameters/solinas64_2e190m11_5limbs.json
index 5ecedaa36..9e57fe9e2 100644
--- a/src/Specific/CurveParameters/solinas64_2e190m11_5limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e190m11_5limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{38,38,38,38,38}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf5}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<190) - 11'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{38,38,38,38,38}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf5}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<190) - 11'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{38,38,38,38,38}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf5}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<190) - 11'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{38,38,38,38,38}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf5}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<190) - 11'",
     "modulus": "2^190 - 11",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e191m19_4limbs.json b/src/Specific/CurveParameters/solinas64_2e191m19_4limbs.json
index 369a10e63..12f57cd6a 100644
--- a/src/Specific/CurveParameters/solinas64_2e191m19_4limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e191m19_4limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,47}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<191) - 19'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,47}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<191) - 19'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,47}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<191) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,47}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<191) - 19'",
     "modulus": "2^191 - 19",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e191m19_5limbs.json b/src/Specific/CurveParameters/solinas64_2e191m19_5limbs.json
index 296f4ea63..669b48bb7 100644
--- a/src/Specific/CurveParameters/solinas64_2e191m19_5limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e191m19_5limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{39,38,38,38,38}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<191) - 19'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{39,38,38,38,38}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<191) - 19'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{39,38,38,38,38}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<191) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{39,38,38,38,38}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<191) - 19'",
     "modulus": "2^191 - 19",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e192m2e64m1_4limbs.json b/src/Specific/CurveParameters/solinas64_2e192m2e64m1_4limbs.json
index f02d06dfa..bb3378fd8 100644
--- a/src/Specific/CurveParameters/solinas64_2e192m2e64m1_4limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e192m2e64m1_4limbs.json
@@ -18,8 +18,8 @@
         ]
     ],
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<192) - (1_mpz<<64) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<192) - (1_mpz<<64) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<192) - (1_mpz<<64) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<192) - (1_mpz<<64) - 1'",
     "modulus": "2^192 - 2^64 - 1",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e192m2e64m1_5limbs.json b/src/Specific/CurveParameters/solinas64_2e192m2e64m1_5limbs.json
index 6ce063732..b2beb4269 100644
--- a/src/Specific/CurveParameters/solinas64_2e192m2e64m1_5limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e192m2e64m1_5limbs.json
@@ -19,8 +19,8 @@
         ]
     ],
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{39,38,39,38,38}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<192) - (1_mpz<<64) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{39,38,39,38,38}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<192) - (1_mpz<<64) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{39,38,39,38,38}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<192) - (1_mpz<<64) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{39,38,39,38,38}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='24' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<192) - (1_mpz<<64) - 1'",
     "modulus": "2^192 - 2^64 - 1",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e194m33_4limbs.json b/src/Specific/CurveParameters/solinas64_2e194m33_4limbs.json
index 22fd3a579..9d1531d90 100644
--- a/src/Specific/CurveParameters/solinas64_2e194m33_4limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e194m33_4limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,48,49,48}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xdf}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<194) - 33'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,48,49,48}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xdf}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<194) - 33'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,48,49,48}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xdf}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<194) - 33'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,48,49,48}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xdf}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<194) - 33'",
     "modulus": "2^194 - 33",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e194m33_5limbs.json b/src/Specific/CurveParameters/solinas64_2e194m33_5limbs.json
index e894b60a2..502ca9428 100644
--- a/src/Specific/CurveParameters/solinas64_2e194m33_5limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e194m33_5limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{39,39,39,39,38}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xdf}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<194) - 33'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{39,39,39,39,38}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xdf}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<194) - 33'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{39,39,39,39,38}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xdf}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<194) - 33'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{39,39,39,39,38}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xdf}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<194) - 33'",
     "modulus": "2^194 - 33",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e196m15_4limbs.json b/src/Specific/CurveParameters/solinas64_2e196m15_4limbs.json
index 5963877c9..2a5cea46f 100644
--- a/src/Specific/CurveParameters/solinas64_2e196m15_4limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e196m15_4limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,49,49,49}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<196) - 15'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,49,49,49}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<196) - 15'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,49,49,49}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<196) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,49,49,49}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<196) - 15'",
     "modulus": "2^196 - 15",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e196m15_5limbs.json b/src/Specific/CurveParameters/solinas64_2e196m15_5limbs.json
index b3872dbb6..b2cfd9bf0 100644
--- a/src/Specific/CurveParameters/solinas64_2e196m15_5limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e196m15_5limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{40,39,39,39,39}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<196) - 15'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{40,39,39,39,39}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<196) - 15'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{40,39,39,39,39}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<196) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{40,39,39,39,39}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<196) - 15'",
     "modulus": "2^196 - 15",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e198m17_4limbs.json b/src/Specific/CurveParameters/solinas64_2e198m17_4limbs.json
index be38a4dad..309d5acef 100644
--- a/src/Specific/CurveParameters/solinas64_2e198m17_4limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e198m17_4limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{50,49,50,49}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<198) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{50,49,50,49}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<198) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{50,49,50,49}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<198) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{50,49,50,49}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<198) - 17'",
     "modulus": "2^198 - 17",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e198m17_5limbs.json b/src/Specific/CurveParameters/solinas64_2e198m17_5limbs.json
index f8f4c4e85..f2705be23 100644
--- a/src/Specific/CurveParameters/solinas64_2e198m17_5limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e198m17_5limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{40,40,39,40,39}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<198) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{40,40,39,40,39}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<198) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{40,40,39,40,39}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<198) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{40,40,39,40,39}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='25' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<198) - 17'",
     "modulus": "2^198 - 17",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e206m5_4limbs.json b/src/Specific/CurveParameters/solinas64_2e206m5_4limbs.json
index 9686bf37d..ff4bb0d2b 100644
--- a/src/Specific/CurveParameters/solinas64_2e206m5_4limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e206m5_4limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,51,52,51}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<206) - 5'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,51,52,51}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<206) - 5'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,51,52,51}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<206) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,51,52,51}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<206) - 5'",
     "modulus": "2^206 - 5",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e206m5_5limbs.json b/src/Specific/CurveParameters/solinas64_2e206m5_5limbs.json
index 9ba151edc..e32d6a296 100644
--- a/src/Specific/CurveParameters/solinas64_2e206m5_5limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e206m5_5limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{42,41,41,41,41}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<206) - 5'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{42,41,41,41,41}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<206) - 5'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{42,41,41,41,41}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<206) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{42,41,41,41,41}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='26' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<206) - 5'",
     "modulus": "2^206 - 5",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e212m29_4limbs.json b/src/Specific/CurveParameters/solinas64_2e212m29_4limbs.json
index 4ea0af119..989417be6 100644
--- a/src/Specific/CurveParameters/solinas64_2e212m29_4limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e212m29_4limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{53,53,53,53}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe3}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<212) - 29'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{53,53,53,53}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe3}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<212) - 29'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{53,53,53,53}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe3}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<212) - 29'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{53,53,53,53}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe3}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<212) - 29'",
     "modulus": "2^212 - 29",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e212m29_5limbs.json b/src/Specific/CurveParameters/solinas64_2e212m29_5limbs.json
index 44fac55d7..746563084 100644
--- a/src/Specific/CurveParameters/solinas64_2e212m29_5limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e212m29_5limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,42,43,42,42}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe3}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<212) - 29'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,42,43,42,42}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe3}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<212) - 29'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,42,43,42,42}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe3}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<212) - 29'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,42,43,42,42}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe3}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<212) - 29'",
     "modulus": "2^212 - 29",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e213m3_4limbs.json b/src/Specific/CurveParameters/solinas64_2e213m3_4limbs.json
index 4992d0173..9032f4ea6 100644
--- a/src/Specific/CurveParameters/solinas64_2e213m3_4limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e213m3_4limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{54,53,53,53}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<213) - 3'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{54,53,53,53}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<213) - 3'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{54,53,53,53}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<213) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{54,53,53,53}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<213) - 3'",
     "modulus": "2^213 - 3",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e213m3_5limbs.json b/src/Specific/CurveParameters/solinas64_2e213m3_5limbs.json
index d1a036df2..0a0a6cb1a 100644
--- a/src/Specific/CurveParameters/solinas64_2e213m3_5limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e213m3_5limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,43,42,43,42}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<213) - 3'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,43,42,43,42}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<213) - 3'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,43,42,43,42}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<213) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,43,42,43,42}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<213) - 3'",
     "modulus": "2^213 - 3",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e216m2e108m1_4limbs.json b/src/Specific/CurveParameters/solinas64_2e216m2e108m1_4limbs.json
index 593690be6..f7c4d2de7 100644
--- a/src/Specific/CurveParameters/solinas64_2e216m2e108m1_4limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e216m2e108m1_4limbs.json
@@ -18,8 +18,8 @@
         ]
     ],
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{54,54,54,54}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<216) - (1_mpz<<108) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{54,54,54,54}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<216) - (1_mpz<<108) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{54,54,54,54}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<216) - (1_mpz<<108) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{54,54,54,54}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<216) - (1_mpz<<108) - 1'",
     "goldilocks": true,
     "modulus": "2^216 - 2^108 - 1",
     "operations": [
diff --git a/src/Specific/CurveParameters/solinas64_2e216m2e108m1_5limbs.json b/src/Specific/CurveParameters/solinas64_2e216m2e108m1_5limbs.json
index b7fe74ac2..26a824cbf 100644
--- a/src/Specific/CurveParameters/solinas64_2e216m2e108m1_5limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e216m2e108m1_5limbs.json
@@ -19,8 +19,8 @@
         ]
     ],
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{44,43,43,43,43}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<216) - (1_mpz<<108) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{44,43,43,43,43}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<216) - (1_mpz<<108) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{44,43,43,43,43}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<216) - (1_mpz<<108) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{44,43,43,43,43}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='27' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<216) - (1_mpz<<108) - 1'",
     "goldilocks": true,
     "modulus": "2^216 - 2^108 - 1",
     "operations": [
diff --git a/src/Specific/CurveParameters/solinas64_2e221m3_4limbs.json b/src/Specific/CurveParameters/solinas64_2e221m3_4limbs.json
index 5b0353859..ca26cc779 100644
--- a/src/Specific/CurveParameters/solinas64_2e221m3_4limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e221m3_4limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,55,55,55}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<221) - 3'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,55,55,55}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<221) - 3'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,55,55,55}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<221) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,55,55,55}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<221) - 3'",
     "modulus": "2^221 - 3",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e221m3_5limbs.json b/src/Specific/CurveParameters/solinas64_2e221m3_5limbs.json
index 4783df52c..23e532057 100644
--- a/src/Specific/CurveParameters/solinas64_2e221m3_5limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e221m3_5limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{45,44,44,44,44}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<221) - 3'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{45,44,44,44,44}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<221) - 3'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{45,44,44,44,44}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<221) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{45,44,44,44,44}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<221) - 3'",
     "modulus": "2^221 - 3",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e222m117_4limbs.json b/src/Specific/CurveParameters/solinas64_2e222m117_4limbs.json
index df8cced45..a7a4c058b 100644
--- a/src/Specific/CurveParameters/solinas64_2e222m117_4limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e222m117_4limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,55,56,55}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x8b}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<222) - 117'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,55,56,55}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x8b}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<222) - 117'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,55,56,55}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x8b}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<222) - 117'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,55,56,55}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x8b}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<222) - 117'",
     "modulus": "2^222 - 117",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e222m117_5limbs.json b/src/Specific/CurveParameters/solinas64_2e222m117_5limbs.json
index 40c0113a1..25484715f 100644
--- a/src/Specific/CurveParameters/solinas64_2e222m117_5limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e222m117_5limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{45,44,45,44,44}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x8b}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<222) - 117'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{45,44,45,44,44}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x8b}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<222) - 117'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{45,44,45,44,44}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x8b}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<222) - 117'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{45,44,45,44,44}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x8b}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<222) - 117'",
     "modulus": "2^222 - 117",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e224m2e96p1_5limbs.json b/src/Specific/CurveParameters/solinas64_2e224m2e96p1_5limbs.json
index 4954e22d0..0f37dfe74 100644
--- a/src/Specific/CurveParameters/solinas64_2e224m2e96p1_5limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e224m2e96p1_5limbs.json
@@ -19,8 +19,8 @@
         ]
     ],
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{45,45,45,45,44}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<224) - (1_mpz<<96) + 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{45,45,45,45,44}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<224) - (1_mpz<<96) + 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{45,45,45,45,44}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<224) - (1_mpz<<96) + 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{45,45,45,45,44}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<224) - (1_mpz<<96) + 1'",
     "modulus": "2^224 - 2^96 + 1",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e224m2e96p1_6limbs.json b/src/Specific/CurveParameters/solinas64_2e224m2e96p1_6limbs.json
index ff65c92f9..f4f749ba9 100644
--- a/src/Specific/CurveParameters/solinas64_2e224m2e96p1_6limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e224m2e96p1_6limbs.json
@@ -20,8 +20,8 @@
         ]
     ],
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{38,37,37,38,37,37}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<224) - (1_mpz<<96) + 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{38,37,37,38,37,37}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<224) - (1_mpz<<96) + 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{38,37,37,38,37,37}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<224) - (1_mpz<<96) + 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{38,37,37,38,37,37}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01}' -Dmodulus_bytes_val='28' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<224) - (1_mpz<<96) + 1'",
     "modulus": "2^224 - 2^96 + 1",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e226m5_4limbs.json b/src/Specific/CurveParameters/solinas64_2e226m5_4limbs.json
index 459860969..e7a504fd3 100644
--- a/src/Specific/CurveParameters/solinas64_2e226m5_4limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e226m5_4limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{57,56,57,56}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<226) - 5'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{57,56,57,56}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<226) - 5'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{57,56,57,56}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<226) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{57,56,57,56}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<226) - 5'",
     "modulus": "2^226 - 5",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e226m5_5limbs.json b/src/Specific/CurveParameters/solinas64_2e226m5_5limbs.json
index 7b717f309..6e887a1c4 100644
--- a/src/Specific/CurveParameters/solinas64_2e226m5_5limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e226m5_5limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{46,45,45,45,45}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<226) - 5'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{46,45,45,45,45}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<226) - 5'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{46,45,45,45,45}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<226) - 5'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{46,45,45,45,45}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfb}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<226) - 5'",
     "modulus": "2^226 - 5",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e230m27_4limbs.json b/src/Specific/CurveParameters/solinas64_2e230m27_4limbs.json
index 88847ba8e..9321d5f73 100644
--- a/src/Specific/CurveParameters/solinas64_2e230m27_4limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e230m27_4limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{58,57,58,57}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<230) - 27'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{58,57,58,57}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<230) - 27'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{58,57,58,57}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<230) - 27'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{58,57,58,57}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<230) - 27'",
     "modulus": "2^230 - 27",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e230m27_5limbs.json b/src/Specific/CurveParameters/solinas64_2e230m27_5limbs.json
index 9979db9a3..f323195b7 100644
--- a/src/Specific/CurveParameters/solinas64_2e230m27_5limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e230m27_5limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{46,46,46,46,46}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<230) - 27'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{46,46,46,46,46}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<230) - 27'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{46,46,46,46,46}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<230) - 27'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{46,46,46,46,46}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe5}' -Dmodulus_bytes_val='29' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<230) - 27'",
     "modulus": "2^230 - 27",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e235m15_4limbs.json b/src/Specific/CurveParameters/solinas64_2e235m15_4limbs.json
index 890903528..aa3b552af 100644
--- a/src/Specific/CurveParameters/solinas64_2e235m15_4limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e235m15_4limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{59,59,59,58}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='30' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<235) - 15'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{59,59,59,58}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='30' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<235) - 15'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{59,59,59,58}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='30' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<235) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{59,59,59,58}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='30' -Dmodulus_limbs='4' -Dq_mpz='(1_mpz<<235) - 15'",
     "modulus": "2^235 - 15",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e235m15_5limbs.json b/src/Specific/CurveParameters/solinas64_2e235m15_5limbs.json
index a1467c3d8..0bf3f54fa 100644
--- a/src/Specific/CurveParameters/solinas64_2e235m15_5limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e235m15_5limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,47,47,47,47}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='30' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<235) - 15'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,47,47,47,47}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='30' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<235) - 15'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,47,47,47,47}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='30' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<235) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,47,47,47,47}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='30' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<235) - 15'",
     "modulus": "2^235 - 15",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e243m9_5limbs.json b/src/Specific/CurveParameters/solinas64_2e243m9_5limbs.json
index 4e2150633..0ddcc422d 100644
--- a/src/Specific/CurveParameters/solinas64_2e243m9_5limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e243m9_5limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,49,48,49,48}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='31' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<243) - 9'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,49,48,49,48}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='31' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<243) - 9'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,49,48,49,48}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='31' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<243) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,49,48,49,48}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='31' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<243) - 9'",
     "modulus": "2^243 - 9",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e243m9_6limbs.json b/src/Specific/CurveParameters/solinas64_2e243m9_6limbs.json
index c723fb133..0cd6d2b33 100644
--- a/src/Specific/CurveParameters/solinas64_2e243m9_6limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e243m9_6limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{41,40,41,40,41,40}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='31' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<243) - 9'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{41,40,41,40,41,40}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='31' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<243) - 9'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{41,40,41,40,41,40}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='31' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<243) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{41,40,41,40,41,40}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='31' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<243) - 9'",
     "modulus": "2^243 - 9",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e251m9_5limbs.json b/src/Specific/CurveParameters/solinas64_2e251m9_5limbs.json
index cbc05c147..06dda2be5 100644
--- a/src/Specific/CurveParameters/solinas64_2e251m9_5limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e251m9_5limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{51,50,50,50,50}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<251) - 9'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{51,50,50,50,50}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<251) - 9'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{51,50,50,50,50}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<251) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{51,50,50,50,50}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<251) - 9'",
     "modulus": "2^251 - 9",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e251m9_6limbs.json b/src/Specific/CurveParameters/solinas64_2e251m9_6limbs.json
index 830278cc0..d27d9e554 100644
--- a/src/Specific/CurveParameters/solinas64_2e251m9_6limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e251m9_6limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{42,42,42,42,42,41}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<251) - 9'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{42,42,42,42,42,41}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<251) - 9'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{42,42,42,42,42,41}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<251) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{42,42,42,42,42,41}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<251) - 9'",
     "modulus": "2^251 - 9",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e255m19_5limbs.json b/src/Specific/CurveParameters/solinas64_2e255m19_5limbs.json
index bbf3519f1..ab27c416b 100644
--- a/src/Specific/CurveParameters/solinas64_2e255m19_5limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e255m19_5limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{51,51,51,51,51}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<255) - 19'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{51,51,51,51,51}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<255) - 19'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{51,51,51,51,51}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<255) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{51,51,51,51,51}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<255) - 19'",
     "modulus": "2^255 - 19",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e255m19_5limbs_donna.json b/src/Specific/CurveParameters/solinas64_2e255m19_5limbs_donna.json
index 68a2032c2..34459fee1 100644
--- a/src/Specific/CurveParameters/solinas64_2e255m19_5limbs_donna.json
+++ b/src/Specific/CurveParameters/solinas64_2e255m19_5limbs_donna.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{51,51,51,51,51}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<255) - 19'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{51,51,51,51,51}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<255) - 19'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{51,51,51,51,51}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<255) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{51,51,51,51,51}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<255) - 19'",
     "modulus": "2^255 - 19",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e255m19_6limbs.json b/src/Specific/CurveParameters/solinas64_2e255m19_6limbs.json
index 29dec1bca..0d8f4c429 100644
--- a/src/Specific/CurveParameters/solinas64_2e255m19_6limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e255m19_6limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,42,43,42,43,42}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<255) - 19'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,42,43,42,43,42}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<255) - 19'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,42,43,42,43,42}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<255) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,42,43,42,43,42}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<255) - 19'",
     "modulus": "2^255 - 19",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e255m765_5limbs.json b/src/Specific/CurveParameters/solinas64_2e255m765_5limbs.json
index 9befb1904..3af009ba4 100644
--- a/src/Specific/CurveParameters/solinas64_2e255m765_5limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e255m765_5limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{51,51,51,51,51}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0x03}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<255) - 765'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{51,51,51,51,51}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0x03}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<255) - 765'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{51,51,51,51,51}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0x03}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<255) - 765'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{51,51,51,51,51}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0x03}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<255) - 765'",
     "modulus": "2^255 - 765",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e255m765_6limbs.json b/src/Specific/CurveParameters/solinas64_2e255m765_6limbs.json
index a454baa88..f1e621b14 100644
--- a/src/Specific/CurveParameters/solinas64_2e255m765_6limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e255m765_6limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,42,43,42,43,42}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0x03}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<255) - 765'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,42,43,42,43,42}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0x03}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<255) - 765'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,42,43,42,43,42}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0x03}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<255) - 765'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,42,43,42,43,42}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0x03}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<255) - 765'",
     "modulus": "2^255 - 765",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e256m189_5limbs.json b/src/Specific/CurveParameters/solinas64_2e256m189_5limbs.json
index 757fd6f0b..e7bd1c966 100644
--- a/src/Specific/CurveParameters/solinas64_2e256m189_5limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e256m189_5limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,51,51,51,51}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x43}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<256) - 189'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,51,51,51,51}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x43}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<256) - 189'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,51,51,51,51}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x43}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<256) - 189'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,51,51,51,51}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x43}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<256) - 189'",
     "modulus": "2^256 - 189",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e256m189_6limbs.json b/src/Specific/CurveParameters/solinas64_2e256m189_6limbs.json
index 3a992eddd..9e701a8b1 100644
--- a/src/Specific/CurveParameters/solinas64_2e256m189_6limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e256m189_6limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,43,42,43,43,42}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x43}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<256) - 189'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,43,42,43,43,42}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x43}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<256) - 189'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,43,42,43,43,42}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x43}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<256) - 189'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,43,42,43,43,42}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x43}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<256) - 189'",
     "modulus": "2^256 - 189",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e256m2e224p2e192p2e96m1_5limbs.json b/src/Specific/CurveParameters/solinas64_2e256m2e224p2e192p2e96m1_5limbs.json
index a66e65b91..136b844be 100644
--- a/src/Specific/CurveParameters/solinas64_2e256m2e224p2e192p2e96m1_5limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e256m2e224p2e192p2e96m1_5limbs.json
@@ -23,8 +23,8 @@
         ]
     ],
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,51,51,51,51}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<256) - (1_mpz<<224) + (1_mpz<<192) + (1_mpz<<96) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,51,51,51,51}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<256) - (1_mpz<<224) + (1_mpz<<192) + (1_mpz<<96) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,51,51,51,51}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<256) - (1_mpz<<224) + (1_mpz<<192) + (1_mpz<<96) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,51,51,51,51}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<256) - (1_mpz<<224) + (1_mpz<<192) + (1_mpz<<96) - 1'",
     "modulus": "2^256 - 2^224 + 2^192 + 2^96 - 1",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e256m2e224p2e192p2e96m1_6limbs.json b/src/Specific/CurveParameters/solinas64_2e256m2e224p2e192p2e96m1_6limbs.json
index 3145024d0..367ed825a 100644
--- a/src/Specific/CurveParameters/solinas64_2e256m2e224p2e192p2e96m1_6limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e256m2e224p2e192p2e96m1_6limbs.json
@@ -24,8 +24,8 @@
         ]
     ],
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,43,42,43,43,42}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<256) - (1_mpz<<224) + (1_mpz<<192) + (1_mpz<<96) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,43,42,43,43,42}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<256) - (1_mpz<<224) + (1_mpz<<192) + (1_mpz<<96) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,43,42,43,43,42}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<256) - (1_mpz<<224) + (1_mpz<<192) + (1_mpz<<96) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,43,42,43,43,42}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<256) - (1_mpz<<224) + (1_mpz<<192) + (1_mpz<<96) - 1'",
     "modulus": "2^256 - 2^224 + 2^192 + 2^96 - 1",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e256m2e32m977_6limbs.json b/src/Specific/CurveParameters/solinas64_2e256m2e32m977_6limbs.json
index 1c0a1b117..220dba0ba 100644
--- a/src/Specific/CurveParameters/solinas64_2e256m2e32m977_6limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e256m2e32m977_6limbs.json
@@ -19,8 +19,8 @@
         ]
     ],
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,43,42,43,43,42}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<256) - (1_mpz<<32) - 977'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,43,42,43,43,42}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<256) - (1_mpz<<32) - 977'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,43,42,43,43,42}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<256) - (1_mpz<<32) - 977'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,43,42,43,43,42}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<256) - (1_mpz<<32) - 977'",
     "modulus": "2^256 - 2^32 - 977",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e256m2e32m977_7limbs.json b/src/Specific/CurveParameters/solinas64_2e256m2e32m977_7limbs.json
index 327828864..5285cff9c 100644
--- a/src/Specific/CurveParameters/solinas64_2e256m2e32m977_7limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e256m2e32m977_7limbs.json
@@ -20,8 +20,8 @@
         ]
     ],
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{37,37,36,37,36,37,36}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<256) - (1_mpz<<32) - 977'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{37,37,36,37,36,37,36}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<256) - (1_mpz<<32) - 977'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{37,37,36,37,36,37,36}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<256) - (1_mpz<<32) - 977'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{37,37,36,37,36,37,36}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<256) - (1_mpz<<32) - 977'",
     "modulus": "2^256 - 2^32 - 977",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e256m4294968273_10limbs.json b/src/Specific/CurveParameters/solinas64_2e256m4294968273_10limbs.json
index bbe08f653..22112510b 100644
--- a/src/Specific/CurveParameters/solinas64_2e256m4294968273_10limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e256m4294968273_10limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{26,26,25,26,25,26,26,25,26,25}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<256) - 4294968273'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{26,26,25,26,25,26,26,25,26,25}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<256) - 4294968273'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{26,26,25,26,25,26,26,25,26,25}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<256) - 4294968273'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{26,26,25,26,25,26,26,25,26,25}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<256) - 4294968273'",
     "modulus": "2^256 - 4294968273",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e256m4294968273_9limbs.json b/src/Specific/CurveParameters/solinas64_2e256m4294968273_9limbs.json
index c0c394fdc..76b4be27c 100644
--- a/src/Specific/CurveParameters/solinas64_2e256m4294968273_9limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e256m4294968273_9limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{29,28,29,28,29,28,29,28,28}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<256) - 4294968273'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{29,28,29,28,29,28,29,28,28}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<256) - 4294968273'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{29,28,29,28,29,28,29,28,28}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<256) - 4294968273'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{29,28,29,28,29,28,29,28,28}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f}' -Dmodulus_bytes_val='32' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<256) - 4294968273'",
     "modulus": "2^256 - 4294968273",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e266m3_5limbs.json b/src/Specific/CurveParameters/solinas64_2e266m3_5limbs.json
index 9c3060bcf..c3f1a5d31 100644
--- a/src/Specific/CurveParameters/solinas64_2e266m3_5limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e266m3_5limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{54,53,53,53,53}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='34' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<266) - 3'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{54,53,53,53,53}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='34' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<266) - 3'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{54,53,53,53,53}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='34' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<266) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{54,53,53,53,53}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='34' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<266) - 3'",
     "modulus": "2^266 - 3",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e266m3_6limbs.json b/src/Specific/CurveParameters/solinas64_2e266m3_6limbs.json
index 509580a85..9872d0668 100644
--- a/src/Specific/CurveParameters/solinas64_2e266m3_6limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e266m3_6limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{45,44,44,45,44,44}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='34' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<266) - 3'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{45,44,44,45,44,44}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='34' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<266) - 3'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{45,44,44,45,44,44}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='34' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<266) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{45,44,44,45,44,44}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='34' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<266) - 3'",
     "modulus": "2^266 - 3",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e285m9_5limbs.json b/src/Specific/CurveParameters/solinas64_2e285m9_5limbs.json
index d4474ac89..55543605f 100644
--- a/src/Specific/CurveParameters/solinas64_2e285m9_5limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e285m9_5limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{57,57,57,57,57}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='36' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<285) - 9'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{57,57,57,57,57}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='36' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<285) - 9'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{57,57,57,57,57}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='36' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<285) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{57,57,57,57,57}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='36' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<285) - 9'",
     "modulus": "2^285 - 9",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e285m9_6limbs.json b/src/Specific/CurveParameters/solinas64_2e285m9_6limbs.json
index e51fed286..49cbe258c 100644
--- a/src/Specific/CurveParameters/solinas64_2e285m9_6limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e285m9_6limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,47,48,47,48,47}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='36' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<285) - 9'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,47,48,47,48,47}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='36' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<285) - 9'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,47,48,47,48,47}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='36' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<285) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,47,48,47,48,47}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='36' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<285) - 9'",
     "modulus": "2^285 - 9",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e291m19_5limbs.json b/src/Specific/CurveParameters/solinas64_2e291m19_5limbs.json
index 6cacfbb29..172300070 100644
--- a/src/Specific/CurveParameters/solinas64_2e291m19_5limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e291m19_5limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{59,58,58,58,58}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='37' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<291) - 19'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{59,58,58,58,58}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='37' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<291) - 19'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{59,58,58,58,58}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='37' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<291) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{59,58,58,58,58}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='37' -Dmodulus_limbs='5' -Dq_mpz='(1_mpz<<291) - 19'",
     "modulus": "2^291 - 19",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e291m19_6limbs.json b/src/Specific/CurveParameters/solinas64_2e291m19_6limbs.json
index 46de556e5..4874de4ee 100644
--- a/src/Specific/CurveParameters/solinas64_2e291m19_6limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e291m19_6limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,48,49,48,49,48}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='37' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<291) - 19'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,48,49,48,49,48}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='37' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<291) - 19'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,48,49,48,49,48}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='37' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<291) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,48,49,48,49,48}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='37' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<291) - 19'",
     "modulus": "2^291 - 19",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e321m9_6limbs.json b/src/Specific/CurveParameters/solinas64_2e321m9_6limbs.json
index 4c05a8f8f..eb820aaf6 100644
--- a/src/Specific/CurveParameters/solinas64_2e321m9_6limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e321m9_6limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{54,53,54,53,54,53}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<321) - 9'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{54,53,54,53,54,53}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<321) - 9'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{54,53,54,53,54,53}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<321) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{54,53,54,53,54,53}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<321) - 9'",
     "modulus": "2^321 - 9",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e321m9_7limbs.json b/src/Specific/CurveParameters/solinas64_2e321m9_7limbs.json
index 1504457d0..e6bf0bdaa 100644
--- a/src/Specific/CurveParameters/solinas64_2e321m9_7limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e321m9_7limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{46,46,46,46,46,46,45}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<321) - 9'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{46,46,46,46,46,46,45}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<321) - 9'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{46,46,46,46,46,46,45}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<321) - 9'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{46,46,46,46,46,46,45}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf7}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<321) - 9'",
     "modulus": "2^321 - 9",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e322m2e161m1_6limbs.json b/src/Specific/CurveParameters/solinas64_2e322m2e161m1_6limbs.json
index 3f282cb0f..68b43cbbc 100644
--- a/src/Specific/CurveParameters/solinas64_2e322m2e161m1_6limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e322m2e161m1_6limbs.json
@@ -20,8 +20,8 @@
         ]
     ],
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{54,54,53,54,54,53}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<322) - (1_mpz<<161) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{54,54,53,54,54,53}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<322) - (1_mpz<<161) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{54,54,53,54,54,53}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<322) - (1_mpz<<161) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{54,54,53,54,54,53}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<322) - (1_mpz<<161) - 1'",
     "goldilocks": true,
     "modulus": "2^322 - 2^161 - 1",
     "operations": [
diff --git a/src/Specific/CurveParameters/solinas64_2e322m2e161m1_7limbs.json b/src/Specific/CurveParameters/solinas64_2e322m2e161m1_7limbs.json
index 7993353aa..7cbbf9f5e 100644
--- a/src/Specific/CurveParameters/solinas64_2e322m2e161m1_7limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e322m2e161m1_7limbs.json
@@ -21,8 +21,8 @@
         ]
     ],
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{46,46,46,46,46,46,46}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<322) - (1_mpz<<161) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{46,46,46,46,46,46,46}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<322) - (1_mpz<<161) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{46,46,46,46,46,46,46}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<322) - (1_mpz<<161) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{46,46,46,46,46,46,46}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='41' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<322) - (1_mpz<<161) - 1'",
     "goldilocks": true,
     "modulus": "2^322 - 2^161 - 1",
     "operations": [
diff --git a/src/Specific/CurveParameters/solinas64_2e336m17_6limbs.json b/src/Specific/CurveParameters/solinas64_2e336m17_6limbs.json
index 14c8f6509..6e6dd9305 100644
--- a/src/Specific/CurveParameters/solinas64_2e336m17_6limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e336m17_6limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,56,56,56,56,56}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<336) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,56,56,56,56,56}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<336) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,56,56,56,56,56}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<336) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,56,56,56,56,56}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<336) - 17'",
     "modulus": "2^336 - 17",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e336m17_7limbs.json b/src/Specific/CurveParameters/solinas64_2e336m17_7limbs.json
index e6f529362..a8f34ee7b 100644
--- a/src/Specific/CurveParameters/solinas64_2e336m17_7limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e336m17_7limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48,48,48,48}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<336) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48,48,48,48}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<336) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48,48,48,48}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<336) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48,48,48,48}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<336) - 17'",
     "modulus": "2^336 - 17",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e336m3_6limbs.json b/src/Specific/CurveParameters/solinas64_2e336m3_6limbs.json
index 6de61db5e..91a4e71aa 100644
--- a/src/Specific/CurveParameters/solinas64_2e336m3_6limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e336m3_6limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,56,56,56,56,56}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<336) - 3'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,56,56,56,56,56}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<336) - 3'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,56,56,56,56,56}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<336) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,56,56,56,56,56}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<336) - 3'",
     "modulus": "2^336 - 3",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e336m3_7limbs.json b/src/Specific/CurveParameters/solinas64_2e336m3_7limbs.json
index 241fede82..4fb08a7ed 100644
--- a/src/Specific/CurveParameters/solinas64_2e336m3_7limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e336m3_7limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48,48,48,48}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<336) - 3'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48,48,48,48}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<336) - 3'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48,48,48,48}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<336) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48,48,48,48}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='42' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<336) - 3'",
     "modulus": "2^336 - 3",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e338m15_6limbs.json b/src/Specific/CurveParameters/solinas64_2e338m15_6limbs.json
index bacd413c1..220cba5d2 100644
--- a/src/Specific/CurveParameters/solinas64_2e338m15_6limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e338m15_6limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{57,56,56,57,56,56}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='43' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<338) - 15'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{57,56,56,57,56,56}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='43' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<338) - 15'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{57,56,56,57,56,56}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='43' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<338) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{57,56,56,57,56,56}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='43' -Dmodulus_limbs='6' -Dq_mpz='(1_mpz<<338) - 15'",
     "modulus": "2^338 - 15",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e338m15_7limbs.json b/src/Specific/CurveParameters/solinas64_2e338m15_7limbs.json
index c8933defa..db17f4f1c 100644
--- a/src/Specific/CurveParameters/solinas64_2e338m15_7limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e338m15_7limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,48,48,49,48,48,48}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='43' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<338) - 15'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,48,48,49,48,48,48}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='43' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<338) - 15'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,48,48,49,48,48,48}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='43' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<338) - 15'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,48,48,49,48,48,48}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xf1}' -Dmodulus_bytes_val='43' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<338) - 15'",
     "modulus": "2^338 - 15",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e369m25_7limbs.json b/src/Specific/CurveParameters/solinas64_2e369m25_7limbs.json
index 5b28fff11..4dc32c919 100644
--- a/src/Specific/CurveParameters/solinas64_2e369m25_7limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e369m25_7limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{53,53,53,52,53,53,52}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='47' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<369) - 25'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{53,53,53,52,53,53,52}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='47' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<369) - 25'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{53,53,53,52,53,53,52}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='47' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<369) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{53,53,53,52,53,53,52}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='47' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<369) - 25'",
     "modulus": "2^369 - 25",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e369m25_8limbs.json b/src/Specific/CurveParameters/solinas64_2e369m25_8limbs.json
index d4855477e..3a6a3e4bb 100644
--- a/src/Specific/CurveParameters/solinas64_2e369m25_8limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e369m25_8limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,46,46,46,46,46,46,46}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='47' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<369) - 25'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,46,46,46,46,46,46,46}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='47' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<369) - 25'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,46,46,46,46,46,46,46}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='47' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<369) - 25'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,46,46,46,46,46,46,46}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe7}' -Dmodulus_bytes_val='47' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<369) - 25'",
     "modulus": "2^369 - 25",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e379m19_7limbs.json b/src/Specific/CurveParameters/solinas64_2e379m19_7limbs.json
index e3bbd383c..1ca84b1ed 100644
--- a/src/Specific/CurveParameters/solinas64_2e379m19_7limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e379m19_7limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,54,54,54,54,54,54}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<379) - 19'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,54,54,54,54,54,54}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<379) - 19'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,54,54,54,54,54,54}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<379) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,54,54,54,54,54,54}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<379) - 19'",
     "modulus": "2^379 - 19",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e379m19_8limbs.json b/src/Specific/CurveParameters/solinas64_2e379m19_8limbs.json
index 168d76fee..5af831e02 100644
--- a/src/Specific/CurveParameters/solinas64_2e379m19_8limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e379m19_8limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,47,48,47,47,48,47,47}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<379) - 19'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,47,48,47,47,48,47,47}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<379) - 19'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,47,48,47,47,48,47,47}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<379) - 19'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,47,48,47,47,48,47,47}' -Dmodulus_array='{0x07,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xed}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<379) - 19'",
     "modulus": "2^379 - 19",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e382m105_7limbs.json b/src/Specific/CurveParameters/solinas64_2e382m105_7limbs.json
index 9b6381158..bd711d3ab 100644
--- a/src/Specific/CurveParameters/solinas64_2e382m105_7limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e382m105_7limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,55,54,55,54,55,54}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x97}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<382) - 105'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,55,54,55,54,55,54}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x97}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<382) - 105'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,55,54,55,54,55,54}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x97}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<382) - 105'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,55,54,55,54,55,54}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x97}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<382) - 105'",
     "modulus": "2^382 - 105",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e382m105_8limbs.json b/src/Specific/CurveParameters/solinas64_2e382m105_8limbs.json
index 86503f51f..924c6ad0f 100644
--- a/src/Specific/CurveParameters/solinas64_2e382m105_8limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e382m105_8limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,47,48,48,48,47}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x97}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<382) - 105'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,47,48,48,48,47}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x97}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<382) - 105'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,47,48,48,48,47}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x97}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<382) - 105'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,47,48,48,48,47}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x97}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<382) - 105'",
     "modulus": "2^382 - 105",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e383m187_7limbs.json b/src/Specific/CurveParameters/solinas64_2e383m187_7limbs.json
index 1dcff0be8..fa11b9449 100644
--- a/src/Specific/CurveParameters/solinas64_2e383m187_7limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e383m187_7limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,55,55,54,55,55,54}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<383) - 187'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,55,55,54,55,55,54}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<383) - 187'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,55,55,54,55,55,54}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<383) - 187'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,55,55,54,55,55,54}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<383) - 187'",
     "modulus": "2^383 - 187",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e383m187_8limbs.json b/src/Specific/CurveParameters/solinas64_2e383m187_8limbs.json
index 38d4ce92d..bb1d8fdef 100644
--- a/src/Specific/CurveParameters/solinas64_2e383m187_8limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e383m187_8limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48,48,48,48,47}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<383) - 187'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48,48,48,48,47}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<383) - 187'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48,48,48,48,47}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<383) - 187'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48,48,48,48,47}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<383) - 187'",
     "modulus": "2^383 - 187",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e383m31_7limbs.json b/src/Specific/CurveParameters/solinas64_2e383m31_7limbs.json
index 99b11a6e5..8ddbc4cc1 100644
--- a/src/Specific/CurveParameters/solinas64_2e383m31_7limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e383m31_7limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,55,55,54,55,55,54}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<383) - 31'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,55,55,54,55,55,54}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<383) - 31'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,55,55,54,55,55,54}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<383) - 31'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,55,55,54,55,55,54}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<383) - 31'",
     "modulus": "2^383 - 31",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e383m31_8limbs.json b/src/Specific/CurveParameters/solinas64_2e383m31_8limbs.json
index b9c82ddaf..814b23aa5 100644
--- a/src/Specific/CurveParameters/solinas64_2e383m31_8limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e383m31_8limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48,48,48,48,47}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<383) - 31'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48,48,48,48,47}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<383) - 31'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48,48,48,48,47}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<383) - 31'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48,48,48,48,47}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<383) - 31'",
     "modulus": "2^383 - 31",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e383m421_7limbs.json b/src/Specific/CurveParameters/solinas64_2e383m421_7limbs.json
index 70adc400c..120c4c8fc 100644
--- a/src/Specific/CurveParameters/solinas64_2e383m421_7limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e383m421_7limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,55,55,54,55,55,54}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x5b}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<383) - 421'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,55,55,54,55,55,54}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x5b}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<383) - 421'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,55,55,54,55,55,54}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x5b}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<383) - 421'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,55,55,54,55,55,54}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x5b}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<383) - 421'",
     "modulus": "2^383 - 421",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e383m421_8limbs.json b/src/Specific/CurveParameters/solinas64_2e383m421_8limbs.json
index 66872b23e..2b301cd7d 100644
--- a/src/Specific/CurveParameters/solinas64_2e383m421_8limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e383m421_8limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48,48,48,48,47}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x5b}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<383) - 421'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48,48,48,48,47}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x5b}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<383) - 421'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48,48,48,48,47}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x5b}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<383) - 421'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48,48,48,48,47}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x5b}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<383) - 421'",
     "modulus": "2^383 - 421",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e384m2e128m2e96p2e32m1_10limbs.json b/src/Specific/CurveParameters/solinas64_2e384m2e128m2e96p2e32m1_10limbs.json
index e7ad85164..a482577c1 100644
--- a/src/Specific/CurveParameters/solinas64_2e384m2e128m2e96p2e32m1_10limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e384m2e128m2e96p2e32m1_10limbs.json
@@ -28,8 +28,8 @@
         ]
     ],
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{39,38,39,38,38,39,38,39,38,38}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<384) - (1_mpz<<128) - (1_mpz<<96) + (1_mpz<<32) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{39,38,39,38,38,39,38,39,38,38}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<384) - (1_mpz<<128) - (1_mpz<<96) + (1_mpz<<32) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{39,38,39,38,38,39,38,39,38,38}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<384) - (1_mpz<<128) - (1_mpz<<96) + (1_mpz<<32) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{39,38,39,38,38,39,38,39,38,38}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<384) - (1_mpz<<128) - (1_mpz<<96) + (1_mpz<<32) - 1'",
     "modulus": "2^384 - 2^128 - 2^96 + 2^32 - 1",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e384m2e128m2e96p2e32m1_9limbs.json b/src/Specific/CurveParameters/solinas64_2e384m2e128m2e96p2e32m1_9limbs.json
index bdd33d04d..b5d19683a 100644
--- a/src/Specific/CurveParameters/solinas64_2e384m2e128m2e96p2e32m1_9limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e384m2e128m2e96p2e32m1_9limbs.json
@@ -27,8 +27,8 @@
         ]
     ],
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,43,42,43,43,42,43,43,42}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<384) - (1_mpz<<128) - (1_mpz<<96) + (1_mpz<<32) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,43,42,43,43,42,43,43,42}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<384) - (1_mpz<<128) - (1_mpz<<96) + (1_mpz<<32) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,43,42,43,43,42,43,43,42}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<384) - (1_mpz<<128) - (1_mpz<<96) + (1_mpz<<32) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{43,43,42,43,43,42,43,43,42}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<384) - (1_mpz<<128) - (1_mpz<<96) + (1_mpz<<32) - 1'",
     "modulus": "2^384 - 2^128 - 2^96 + 2^32 - 1",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e384m317_7limbs.json b/src/Specific/CurveParameters/solinas64_2e384m317_7limbs.json
index 7dccfdc75..673b45e2b 100644
--- a/src/Specific/CurveParameters/solinas64_2e384m317_7limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e384m317_7limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,55,55,55,55,55,54}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xc3}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<384) - 317'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,55,55,55,55,55,54}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xc3}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<384) - 317'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,55,55,55,55,55,54}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xc3}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<384) - 317'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,55,55,55,55,55,54}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xc3}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<384) - 317'",
     "modulus": "2^384 - 317",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e384m317_8limbs.json b/src/Specific/CurveParameters/solinas64_2e384m317_8limbs.json
index a59890541..d4e27a33a 100644
--- a/src/Specific/CurveParameters/solinas64_2e384m317_8limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e384m317_8limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48,48,48,48,48}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xc3}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<384) - 317'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48,48,48,48,48}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xc3}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<384) - 317'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48,48,48,48,48}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xc3}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<384) - 317'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48,48,48,48,48}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xc3}' -Dmodulus_bytes_val='48' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<384) - 317'",
     "modulus": "2^384 - 317",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e389m21_7limbs.json b/src/Specific/CurveParameters/solinas64_2e389m21_7limbs.json
index a65993227..ec9620ca3 100644
--- a/src/Specific/CurveParameters/solinas64_2e389m21_7limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e389m21_7limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,56,55,56,55,56,55}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='49' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<389) - 21'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,56,55,56,55,56,55}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='49' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<389) - 21'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,56,55,56,55,56,55}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='49' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<389) - 21'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,56,55,56,55,56,55}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='49' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<389) - 21'",
     "modulus": "2^389 - 21",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e389m21_8limbs.json b/src/Specific/CurveParameters/solinas64_2e389m21_8limbs.json
index 57f0f5ca8..06bc8cc0e 100644
--- a/src/Specific/CurveParameters/solinas64_2e389m21_8limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e389m21_8limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,49,48,49,49,48,49,48}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='49' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<389) - 21'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,49,48,49,49,48,49,48}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='49' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<389) - 21'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,49,48,49,49,48,49,48}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='49' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<389) - 21'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,49,48,49,49,48,49,48}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='49' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<389) - 21'",
     "modulus": "2^389 - 21",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e401m31_7limbs.json b/src/Specific/CurveParameters/solinas64_2e401m31_7limbs.json
index 92816b5ba..c6c24b955 100644
--- a/src/Specific/CurveParameters/solinas64_2e401m31_7limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e401m31_7limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{58,57,57,58,57,57,57}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='51' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<401) - 31'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{58,57,57,58,57,57,57}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='51' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<401) - 31'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{58,57,57,58,57,57,57}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='51' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<401) - 31'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{58,57,57,58,57,57,57}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='51' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<401) - 31'",
     "modulus": "2^401 - 31",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e401m31_8limbs.json b/src/Specific/CurveParameters/solinas64_2e401m31_8limbs.json
index d291e194e..4857ee185 100644
--- a/src/Specific/CurveParameters/solinas64_2e401m31_8limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e401m31_8limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{51,50,50,50,50,50,50,50}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='51' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<401) - 31'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{51,50,50,50,50,50,50,50}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='51' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<401) - 31'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{51,50,50,50,50,50,50,50}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='51' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<401) - 31'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{51,50,50,50,50,50,50,50}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='51' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<401) - 31'",
     "modulus": "2^401 - 31",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e413m21_7limbs.json b/src/Specific/CurveParameters/solinas64_2e413m21_7limbs.json
index 25214928b..a08cf0255 100644
--- a/src/Specific/CurveParameters/solinas64_2e413m21_7limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e413m21_7limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{59,59,59,59,59,59,59}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<413) - 21'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{59,59,59,59,59,59,59}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<413) - 21'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{59,59,59,59,59,59,59}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<413) - 21'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{59,59,59,59,59,59,59}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='7' -Dq_mpz='(1_mpz<<413) - 21'",
     "modulus": "2^413 - 21",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e413m21_8limbs.json b/src/Specific/CurveParameters/solinas64_2e413m21_8limbs.json
index fcd6142f3..2257caa49 100644
--- a/src/Specific/CurveParameters/solinas64_2e413m21_8limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e413m21_8limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,52,51,52,52,51,52,51}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<413) - 21'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,52,51,52,52,51,52,51}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<413) - 21'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,52,51,52,52,51,52,51}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<413) - 21'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,52,51,52,52,51,52,51}' -Dmodulus_array='{0x1f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<413) - 21'",
     "modulus": "2^413 - 21",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e414m17_8limbs.json b/src/Specific/CurveParameters/solinas64_2e414m17_8limbs.json
index fbd8c1015..3887af43d 100644
--- a/src/Specific/CurveParameters/solinas64_2e414m17_8limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e414m17_8limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,52,52,51,52,52,52,51}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<414) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,52,52,51,52,52,52,51}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<414) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,52,52,51,52,52,52,51}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<414) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,52,52,51,52,52,52,51}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<414) - 17'",
     "modulus": "2^414 - 17",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e414m17_9limbs.json b/src/Specific/CurveParameters/solinas64_2e414m17_9limbs.json
index 419b2cc44..58e6ff063 100644
--- a/src/Specific/CurveParameters/solinas64_2e414m17_9limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e414m17_9limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{46,46,46,46,46,46,46,46,46}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<414) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{46,46,46,46,46,46,46,46,46}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<414) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{46,46,46,46,46,46,46,46,46}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<414) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{46,46,46,46,46,46,46,46,46}' -Dmodulus_array='{0x3f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<414) - 17'",
     "modulus": "2^414 - 17",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e416m2e208m1_8limbs.json b/src/Specific/CurveParameters/solinas64_2e416m2e208m1_8limbs.json
index 02a4d002a..3998ba200 100644
--- a/src/Specific/CurveParameters/solinas64_2e416m2e208m1_8limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e416m2e208m1_8limbs.json
@@ -22,8 +22,8 @@
         ]
     ],
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,52,52,52,52,52,52,52}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<416) - (1_mpz<<208) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,52,52,52,52,52,52,52}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<416) - (1_mpz<<208) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,52,52,52,52,52,52,52}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<416) - (1_mpz<<208) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,52,52,52,52,52,52,52}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<416) - (1_mpz<<208) - 1'",
     "goldilocks": true,
     "modulus": "2^416 - 2^208 - 1",
     "operations": [
diff --git a/src/Specific/CurveParameters/solinas64_2e416m2e208m1_9limbs.json b/src/Specific/CurveParameters/solinas64_2e416m2e208m1_9limbs.json
index 47c6349a8..19363bcda 100644
--- a/src/Specific/CurveParameters/solinas64_2e416m2e208m1_9limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e416m2e208m1_9limbs.json
@@ -23,8 +23,8 @@
         ]
     ],
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,46,46,46,47,46,46,46,46}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<416) - (1_mpz<<208) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,46,46,46,47,46,46,46,46}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<416) - (1_mpz<<208) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,46,46,46,47,46,46,46,46}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<416) - (1_mpz<<208) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,46,46,46,47,46,46,46,46}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='52' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<416) - (1_mpz<<208) - 1'",
     "goldilocks": true,
     "modulus": "2^416 - 2^208 - 1",
     "operations": [
diff --git a/src/Specific/CurveParameters/solinas64_2e444m17_8limbs.json b/src/Specific/CurveParameters/solinas64_2e444m17_8limbs.json
index 08d72393d..e09bd5c94 100644
--- a/src/Specific/CurveParameters/solinas64_2e444m17_8limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e444m17_8limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,55,56,55,56,55,56,55}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<444) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,55,56,55,56,55,56,55}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<444) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,55,56,55,56,55,56,55}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<444) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,55,56,55,56,55,56,55}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<444) - 17'",
     "modulus": "2^444 - 17",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e444m17_9limbs.json b/src/Specific/CurveParameters/solinas64_2e444m17_9limbs.json
index 8ecbf3728..541d9d18d 100644
--- a/src/Specific/CurveParameters/solinas64_2e444m17_9limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e444m17_9limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{50,49,49,50,49,49,50,49,49}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<444) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{50,49,49,50,49,49,50,49,49}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<444) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{50,49,49,50,49,49,50,49,49}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<444) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{50,49,49,50,49,49,50,49,49}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<444) - 17'",
     "modulus": "2^444 - 17",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e448m2e224m1_10limbs.json b/src/Specific/CurveParameters/solinas64_2e448m2e224m1_10limbs.json
index 0666750ce..fbf055d23 100644
--- a/src/Specific/CurveParameters/solinas64_2e448m2e224m1_10limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e448m2e224m1_10limbs.json
@@ -24,8 +24,8 @@
         ]
     ],
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{45,45,45,45,44,45,45,45,45,44}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<448) - (1_mpz<<224) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{45,45,45,45,44,45,45,45,45,44}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<448) - (1_mpz<<224) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{45,45,45,45,44,45,45,45,45,44}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<448) - (1_mpz<<224) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{45,45,45,45,44,45,45,45,45,44}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<448) - (1_mpz<<224) - 1'",
     "goldilocks": true,
     "modulus": "2^448 - 2^224 - 1",
     "operations": [
diff --git a/src/Specific/CurveParameters/solinas64_2e448m2e224m1_8limbs.json b/src/Specific/CurveParameters/solinas64_2e448m2e224m1_8limbs.json
index 7c3d91646..0f5f3ea93 100644
--- a/src/Specific/CurveParameters/solinas64_2e448m2e224m1_8limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e448m2e224m1_8limbs.json
@@ -22,8 +22,8 @@
         ]
     ],
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,56,56,56,56,56,56,56}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<448) - (1_mpz<<224) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,56,56,56,56,56,56,56}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<448) - (1_mpz<<224) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,56,56,56,56,56,56,56}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<448) - (1_mpz<<224) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{56,56,56,56,56,56,56,56}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='56' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<448) - (1_mpz<<224) - 1'",
     "goldilocks": true,
     "modulus": "2^448 - 2^224 - 1",
     "operations": [
diff --git a/src/Specific/CurveParameters/solinas64_2e450m2e225m1_10limbs.json b/src/Specific/CurveParameters/solinas64_2e450m2e225m1_10limbs.json
index 60c89748b..15e37d483 100644
--- a/src/Specific/CurveParameters/solinas64_2e450m2e225m1_10limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e450m2e225m1_10limbs.json
@@ -24,8 +24,8 @@
         ]
     ],
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{45,45,45,45,45,45,45,45,45,45}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<450) - (1_mpz<<225) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{45,45,45,45,45,45,45,45,45,45}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<450) - (1_mpz<<225) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{45,45,45,45,45,45,45,45,45,45}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<450) - (1_mpz<<225) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{45,45,45,45,45,45,45,45,45,45}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<450) - (1_mpz<<225) - 1'",
     "goldilocks": true,
     "modulus": "2^450 - 2^225 - 1",
     "operations": [
diff --git a/src/Specific/CurveParameters/solinas64_2e450m2e225m1_8limbs.json b/src/Specific/CurveParameters/solinas64_2e450m2e225m1_8limbs.json
index 872a222ee..2d2da85cd 100644
--- a/src/Specific/CurveParameters/solinas64_2e450m2e225m1_8limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e450m2e225m1_8limbs.json
@@ -22,8 +22,8 @@
         ]
     ],
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{57,56,56,56,57,56,56,56}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<450) - (1_mpz<<225) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{57,56,56,56,57,56,56,56}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<450) - (1_mpz<<225) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{57,56,56,56,57,56,56,56}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<450) - (1_mpz<<225) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{57,56,56,56,57,56,56,56}' -Dmodulus_array='{0x03,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<450) - (1_mpz<<225) - 1'",
     "goldilocks": true,
     "modulus": "2^450 - 2^225 - 1",
     "operations": [
diff --git a/src/Specific/CurveParameters/solinas64_2e452m3_8limbs.json b/src/Specific/CurveParameters/solinas64_2e452m3_8limbs.json
index aaf48adfd..9355eda49 100644
--- a/src/Specific/CurveParameters/solinas64_2e452m3_8limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e452m3_8limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{57,56,57,56,57,56,57,56}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<452) - 3'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{57,56,57,56,57,56,57,56}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<452) - 3'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{57,56,57,56,57,56,57,56}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<452) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{57,56,57,56,57,56,57,56}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<452) - 3'",
     "modulus": "2^452 - 3",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e452m3_9limbs.json b/src/Specific/CurveParameters/solinas64_2e452m3_9limbs.json
index 263ed7665..624343b39 100644
--- a/src/Specific/CurveParameters/solinas64_2e452m3_9limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e452m3_9limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{51,50,50,50,51,50,50,50,50}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<452) - 3'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{51,50,50,50,51,50,50,50,50}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<452) - 3'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{51,50,50,50,51,50,50,50,50}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<452) - 3'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{51,50,50,50,51,50,50,50,50}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd}' -Dmodulus_bytes_val='57' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<452) - 3'",
     "modulus": "2^452 - 3",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e468m17_8limbs.json b/src/Specific/CurveParameters/solinas64_2e468m17_8limbs.json
index 0847146ef..22c7d1cc6 100644
--- a/src/Specific/CurveParameters/solinas64_2e468m17_8limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e468m17_8limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{59,58,59,58,59,58,59,58}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='59' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<468) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{59,58,59,58,59,58,59,58}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='59' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<468) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{59,58,59,58,59,58,59,58}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='59' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<468) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{59,58,59,58,59,58,59,58}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='59' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<468) - 17'",
     "modulus": "2^468 - 17",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e468m17_9limbs.json b/src/Specific/CurveParameters/solinas64_2e468m17_9limbs.json
index 32aa8c164..c85fccced 100644
--- a/src/Specific/CurveParameters/solinas64_2e468m17_9limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e468m17_9limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,52,52,52,52,52,52,52,52}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='59' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<468) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,52,52,52,52,52,52,52,52}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='59' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<468) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,52,52,52,52,52,52,52,52}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='59' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<468) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,52,52,52,52,52,52,52,52}' -Dmodulus_array='{0x0f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='59' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<468) - 17'",
     "modulus": "2^468 - 17",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e480m2e240m1_10limbs.json b/src/Specific/CurveParameters/solinas64_2e480m2e240m1_10limbs.json
index 7045663b2..05dc54ae0 100644
--- a/src/Specific/CurveParameters/solinas64_2e480m2e240m1_10limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e480m2e240m1_10limbs.json
@@ -24,8 +24,8 @@
         ]
     ],
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48,48,48,48,48,48,48}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='60' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<480) - (1_mpz<<240) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48,48,48,48,48,48,48}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='60' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<480) - (1_mpz<<240) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48,48,48,48,48,48,48}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='60' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<480) - (1_mpz<<240) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{48,48,48,48,48,48,48,48,48,48}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='60' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<480) - (1_mpz<<240) - 1'",
     "goldilocks": true,
     "modulus": "2^480 - 2^240 - 1",
     "operations": [
diff --git a/src/Specific/CurveParameters/solinas64_2e480m2e240m1_8limbs.json b/src/Specific/CurveParameters/solinas64_2e480m2e240m1_8limbs.json
index b32ef79c2..bd0962838 100644
--- a/src/Specific/CurveParameters/solinas64_2e480m2e240m1_8limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e480m2e240m1_8limbs.json
@@ -22,8 +22,8 @@
         ]
     ],
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{60,60,60,60,60,60,60,60}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='60' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<480) - (1_mpz<<240) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{60,60,60,60,60,60,60,60}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='60' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<480) - (1_mpz<<240) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{60,60,60,60,60,60,60,60}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='60' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<480) - (1_mpz<<240) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{60,60,60,60,60,60,60,60}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='60' -Dmodulus_limbs='8' -Dq_mpz='(1_mpz<<480) - (1_mpz<<240) - 1'",
     "goldilocks": true,
     "modulus": "2^480 - 2^240 - 1",
     "operations": [
diff --git a/src/Specific/CurveParameters/solinas64_2e488m17_10limbs.json b/src/Specific/CurveParameters/solinas64_2e488m17_10limbs.json
index 554fa0b7f..a4b0fa1da 100644
--- a/src/Specific/CurveParameters/solinas64_2e488m17_10limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e488m17_10limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,49,49,49,48,49,49,49,49,48}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='61' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<488) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,49,49,49,48,49,49,49,49,48}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='61' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<488) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,49,49,49,48,49,49,49,49,48}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='61' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<488) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,49,49,49,48,49,49,49,49,48}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='61' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<488) - 17'",
     "modulus": "2^488 - 17",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e488m17_9limbs.json b/src/Specific/CurveParameters/solinas64_2e488m17_9limbs.json
index bbac773aa..9d9d61a2b 100644
--- a/src/Specific/CurveParameters/solinas64_2e488m17_9limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e488m17_9limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,54,54,54,55,54,54,54,54}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='61' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<488) - 17'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,54,54,54,55,54,54,54,54}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='61' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<488) - 17'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,54,54,54,55,54,54,54,54}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='61' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<488) - 17'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,54,54,54,55,54,54,54,54}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xef}' -Dmodulus_bytes_val='61' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<488) - 17'",
     "modulus": "2^488 - 17",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e489m21_10limbs.json b/src/Specific/CurveParameters/solinas64_2e489m21_10limbs.json
index 79fd9bf79..ebf53a4ff 100644
--- a/src/Specific/CurveParameters/solinas64_2e489m21_10limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e489m21_10limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,49,49,49,49,49,49,49,49,48}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<489) - 21'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,49,49,49,49,49,49,49,49,48}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<489) - 21'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,49,49,49,49,49,49,49,49,48}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<489) - 21'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{49,49,49,49,49,49,49,49,49,48}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<489) - 21'",
     "modulus": "2^489 - 21",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e489m21_9limbs.json b/src/Specific/CurveParameters/solinas64_2e489m21_9limbs.json
index ece2c7e2c..e58bbfb7a 100644
--- a/src/Specific/CurveParameters/solinas64_2e489m21_9limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e489m21_9limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,54,54,55,54,54,55,54,54}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<489) - 21'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,54,54,55,54,54,55,54,54}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<489) - 21'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,54,54,55,54,54,55,54,54}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<489) - 21'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,54,54,55,54,54,55,54,54}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xeb}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<489) - 21'",
     "modulus": "2^489 - 21",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e495m31_10limbs.json b/src/Specific/CurveParameters/solinas64_2e495m31_10limbs.json
index fdc5b9a82..f90b0031e 100644
--- a/src/Specific/CurveParameters/solinas64_2e495m31_10limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e495m31_10limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{50,49,50,49,50,49,50,49,50,49}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<495) - 31'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{50,49,50,49,50,49,50,49,50,49}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<495) - 31'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{50,49,50,49,50,49,50,49,50,49}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<495) - 31'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{50,49,50,49,50,49,50,49,50,49}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<495) - 31'",
     "modulus": "2^495 - 31",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e495m31_9limbs.json b/src/Specific/CurveParameters/solinas64_2e495m31_9limbs.json
index 392d2aa09..8fbe2488e 100644
--- a/src/Specific/CurveParameters/solinas64_2e495m31_9limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e495m31_9limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,55,55,55,55,55,55,55,55}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<495) - 31'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,55,55,55,55,55,55,55,55}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<495) - 31'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,55,55,55,55,55,55,55,55}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<495) - 31'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{55,55,55,55,55,55,55,55,55}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xe1}' -Dmodulus_bytes_val='62' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<495) - 31'",
     "modulus": "2^495 - 31",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e511m187_10limbs.json b/src/Specific/CurveParameters/solinas64_2e511m187_10limbs.json
index 9df70b152..df35e2574 100644
--- a/src/Specific/CurveParameters/solinas64_2e511m187_10limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e511m187_10limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,51,51,51,51,51,51,51,51,51}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<511) - 187'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,51,51,51,51,51,51,51,51,51}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<511) - 187'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,51,51,51,51,51,51,51,51,51}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<511) - 187'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,51,51,51,51,51,51,51,51,51}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<511) - 187'",
     "modulus": "2^511 - 187",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e511m187_11limbs.json b/src/Specific/CurveParameters/solinas64_2e511m187_11limbs.json
index 9f0f4fd03..4f1601326 100644
--- a/src/Specific/CurveParameters/solinas64_2e511m187_11limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e511m187_11limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,46,47,46,47,46,47,46,47,46,46}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<511) - 187'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,46,47,46,47,46,47,46,47,46,46}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<511) - 187'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,46,47,46,47,46,47,46,47,46,46}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<511) - 187'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,46,47,46,47,46,47,46,47,46,46}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x45}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<511) - 187'",
     "modulus": "2^511 - 187",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e511m481_10limbs.json b/src/Specific/CurveParameters/solinas64_2e511m481_10limbs.json
index d3cb9ed7e..08e59df6f 100644
--- a/src/Specific/CurveParameters/solinas64_2e511m481_10limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e511m481_10limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,51,51,51,51,51,51,51,51,51}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x1f}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<511) - 481'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,51,51,51,51,51,51,51,51,51}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x1f}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<511) - 481'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,51,51,51,51,51,51,51,51,51}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x1f}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<511) - 481'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,51,51,51,51,51,51,51,51,51}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x1f}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<511) - 481'",
     "modulus": "2^511 - 481",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e511m481_11limbs.json b/src/Specific/CurveParameters/solinas64_2e511m481_11limbs.json
index c1bea653f..c36c26751 100644
--- a/src/Specific/CurveParameters/solinas64_2e511m481_11limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e511m481_11limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,46,47,46,47,46,47,46,47,46,46}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x1f}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<511) - 481'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,46,47,46,47,46,47,46,47,46,46}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x1f}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<511) - 481'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,46,47,46,47,46,47,46,47,46,46}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x1f}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<511) - 481'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,46,47,46,47,46,47,46,47,46,46}' -Dmodulus_array='{0x7f,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0x1f}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<511) - 481'",
     "modulus": "2^511 - 481",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e512m569_10limbs.json b/src/Specific/CurveParameters/solinas64_2e512m569_10limbs.json
index 96431eddb..9212cab7c 100644
--- a/src/Specific/CurveParameters/solinas64_2e512m569_10limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e512m569_10limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,51,51,51,51,52,51,51,51,51}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xc7}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<512) - 569'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,51,51,51,51,52,51,51,51,51}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xc7}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<512) - 569'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,51,51,51,51,52,51,51,51,51}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xc7}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<512) - 569'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{52,51,51,51,51,52,51,51,51,51}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xc7}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<512) - 569'",
     "modulus": "2^512 - 569",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e512m569_11limbs.json b/src/Specific/CurveParameters/solinas64_2e512m569_11limbs.json
index 50dfce7ed..5db9f2e73 100644
--- a/src/Specific/CurveParameters/solinas64_2e512m569_11limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e512m569_11limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,47,46,47,46,47,46,47,46,47,46}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xc7}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<512) - 569'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,47,46,47,46,47,46,47,46,47,46}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xc7}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<512) - 569'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,47,46,47,46,47,46,47,46,47,46}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xc7}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<512) - 569'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{47,47,46,47,46,47,46,47,46,47,46}' -Dmodulus_array='{0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfd,0xc7}' -Dmodulus_bytes_val='64' -Dmodulus_limbs='11' -Dq_mpz='(1_mpz<<512) - 569'",
     "modulus": "2^512 - 569",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e521m1_10limbs.json b/src/Specific/CurveParameters/solinas64_2e521m1_10limbs.json
index 5a614d2f5..896456f8b 100644
--- a/src/Specific/CurveParameters/solinas64_2e521m1_10limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e521m1_10limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{53,52,52,52,52,52,52,52,52,52}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='66' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<521) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{53,52,52,52,52,52,52,52,52,52}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='66' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<521) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{53,52,52,52,52,52,52,52,52,52}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='66' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<521) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{53,52,52,52,52,52,52,52,52,52}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='66' -Dmodulus_limbs='10' -Dq_mpz='(1_mpz<<521) - 1'",
     "modulus": "2^521 - 1",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/solinas64_2e521m1_9limbs.json b/src/Specific/CurveParameters/solinas64_2e521m1_9limbs.json
index 4969cd7d8..6829b4ee1 100644
--- a/src/Specific/CurveParameters/solinas64_2e521m1_9limbs.json
+++ b/src/Specific/CurveParameters/solinas64_2e521m1_9limbs.json
@@ -3,8 +3,8 @@
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
-    "compiler": "clang -fbracket-depth=999999 -march=native -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{58,58,58,58,58,58,58,58,57}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='66' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<521) - 1'",
-    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{58,58,58,58,58,58,58,58,57}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='66' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<521) - 1'",
+    "compiler": "clang -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{58,58,58,58,58,58,58,58,57}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='66' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<521) - 1'",
+    "compilerxx": "clang++ -fbracket-depth=999999 -march=native -mbmi2 -mtune=native -std=gnu++11 -O3 -flto -fuse-ld=lld -fomit-frame-pointer -fwrapv -Wno-attributes -fno-strict-aliasing -Da24_hex='0x3039' -Da24_val='12345' -Da_minus_two_over_four_array='{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x39}' -Dbitwidth='64' -Dlimb_weight_gaps_array='{58,58,58,58,58,58,58,58,57}' -Dmodulus_array='{0x01,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff}' -Dmodulus_bytes_val='66' -Dmodulus_limbs='9' -Dq_mpz='(1_mpz<<521) - 1'",
     "modulus": "2^521 - 1",
     "operations": [
         "femul",
diff --git a/src/Specific/CurveParameters/x25519_c32.json b/src/Specific/CurveParameters/x25519_c32.json
index 5eda11a59..729388451 100644
--- a/src/Specific/CurveParameters/x25519_c32.json
+++ b/src/Specific/CurveParameters/x25519_c32.json
@@ -7,7 +7,7 @@
     "carry_chains"     : "default",
     "coef_div_modulus" : "2",
     "operations"       : ["femul", "feadd", "fesub", "fecarry", "fesquare", "freeze"],
-    "compiler"         : "gcc -march=native -mtune=native -std=gnu11 -O3 -flto -fomit-frame-pointer -fwrapv -Wno-attributes",
+    "compiler"         : "gcc -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fomit-frame-pointer -fwrapv -Wno-attributes",
     "mul_header"       : "(* Micro-optimized form from curve25519-donna by Adam Langley (Google) and Daniel Bernstein. See <https://github.com/agl/curve25519-donna/blob/master/LICENSE.md>. *)",
     "mul_code"
     :
diff --git a/src/Specific/CurveParameters/x25519_c64.json b/src/Specific/CurveParameters/x25519_c64.json
index 3bb2ef423..41ef66e9f 100644
--- a/src/Specific/CurveParameters/x25519_c64.json
+++ b/src/Specific/CurveParameters/x25519_c64.json
@@ -8,7 +8,7 @@
     "coef_div_modulus" : "2",
     "operations"       : ["femul", "feadd", "fesub", "fecarry", "fesquare", "freeze", "ladderstep"],
     "extra_files"      : ["X25519_C64/scalarmult.c"],
-    "compiler"         : "gcc -march=native -mtune=native -std=gnu11 -O3 -flto -fomit-frame-pointer -fwrapv -Wno-attributes",
+    "compiler"         : "gcc -march=native -mbmi2 -mtune=native -std=gnu11 -O3 -flto -fomit-frame-pointer -fwrapv -Wno-attributes",
     "mul_header"       : "(* Micro-optimized form from curve25519-donna-c64 by Adam Langley (Google) and Daniel Bernstein. See <https://github.com/agl/curve25519-donna/blob/master/LICENSE.md>. *)",
     "mul_code"
     :