Regenerate json files

269 files changed, 269 insertions, 269 deletions

diff --git a/src/Specific/CurveParameters/montgomery32_2e127m1.json b/src/Specific/CurveParameters/montgomery32_2e127m1.json
index 7759130c7..a5ecc7dda 100644
--- a/src/Specific/CurveParameters/montgomery32_2e127m1.json
+++ b/src/Specific/CurveParameters/montgomery32_2e127m1.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "3"
+    "sz": "4"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e129m25.json b/src/Specific/CurveParameters/montgomery32_2e129m25.json
index 3988058f9..0a9d6a8c5 100644
--- a/src/Specific/CurveParameters/montgomery32_2e129m25.json
+++ b/src/Specific/CurveParameters/montgomery32_2e129m25.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "4"
+    "sz": "5"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e130m5.json b/src/Specific/CurveParameters/montgomery32_2e130m5.json
index 789defc46..77f570c69 100644
--- a/src/Specific/CurveParameters/montgomery32_2e130m5.json
+++ b/src/Specific/CurveParameters/montgomery32_2e130m5.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "4"
+    "sz": "5"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e137m13.json b/src/Specific/CurveParameters/montgomery32_2e137m13.json
index dd7b5e0d3..5d18bb2c7 100644
--- a/src/Specific/CurveParameters/montgomery32_2e137m13.json
+++ b/src/Specific/CurveParameters/montgomery32_2e137m13.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "4"
+    "sz": "5"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e140m27.json b/src/Specific/CurveParameters/montgomery32_2e140m27.json
index ea101a544..f92abe792 100644
--- a/src/Specific/CurveParameters/montgomery32_2e140m27.json
+++ b/src/Specific/CurveParameters/montgomery32_2e140m27.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "4"
+    "sz": "5"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e141m9.json b/src/Specific/CurveParameters/montgomery32_2e141m9.json
index 5f0f49cd8..127d19945 100644
--- a/src/Specific/CurveParameters/montgomery32_2e141m9.json
+++ b/src/Specific/CurveParameters/montgomery32_2e141m9.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "4"
+    "sz": "5"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e150m3.json b/src/Specific/CurveParameters/montgomery32_2e150m3.json
index e1aee8c01..14f1006ba 100644
--- a/src/Specific/CurveParameters/montgomery32_2e150m3.json
+++ b/src/Specific/CurveParameters/montgomery32_2e150m3.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "4"
+    "sz": "5"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e150m5.json b/src/Specific/CurveParameters/montgomery32_2e150m5.json
index cd1e0ae02..1f07fefb5 100644
--- a/src/Specific/CurveParameters/montgomery32_2e150m5.json
+++ b/src/Specific/CurveParameters/montgomery32_2e150m5.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "4"
+    "sz": "5"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e152m17.json b/src/Specific/CurveParameters/montgomery32_2e152m17.json
index d1d28105c..c279b8504 100644
--- a/src/Specific/CurveParameters/montgomery32_2e152m17.json
+++ b/src/Specific/CurveParameters/montgomery32_2e152m17.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "4"
+    "sz": "5"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e158m15.json b/src/Specific/CurveParameters/montgomery32_2e158m15.json
index 01f1468e9..1beba078c 100644
--- a/src/Specific/CurveParameters/montgomery32_2e158m15.json
+++ b/src/Specific/CurveParameters/montgomery32_2e158m15.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "4"
+    "sz": "5"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e165m25.json b/src/Specific/CurveParameters/montgomery32_2e165m25.json
index 73a4ae80e..d26a2a303 100644
--- a/src/Specific/CurveParameters/montgomery32_2e165m25.json
+++ b/src/Specific/CurveParameters/montgomery32_2e165m25.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "5"
+    "sz": "6"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e166m5.json b/src/Specific/CurveParameters/montgomery32_2e166m5.json
index 358bfea68..929892ab2 100644
--- a/src/Specific/CurveParameters/montgomery32_2e166m5.json
+++ b/src/Specific/CurveParameters/montgomery32_2e166m5.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "5"
+    "sz": "6"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e171m19.json b/src/Specific/CurveParameters/montgomery32_2e171m19.json
index 892a939f7..b06c10e08 100644
--- a/src/Specific/CurveParameters/montgomery32_2e171m19.json
+++ b/src/Specific/CurveParameters/montgomery32_2e171m19.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "5"
+    "sz": "6"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e174m17.json b/src/Specific/CurveParameters/montgomery32_2e174m17.json
index 2f6e484aa..908710898 100644
--- a/src/Specific/CurveParameters/montgomery32_2e174m17.json
+++ b/src/Specific/CurveParameters/montgomery32_2e174m17.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "5"
+    "sz": "6"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e174m3.json b/src/Specific/CurveParameters/montgomery32_2e174m3.json
index faf71d5f0..636e3f26d 100644
--- a/src/Specific/CurveParameters/montgomery32_2e174m3.json
+++ b/src/Specific/CurveParameters/montgomery32_2e174m3.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "5"
+    "sz": "6"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e189m25.json b/src/Specific/CurveParameters/montgomery32_2e189m25.json
index 9f1e351e0..691157c90 100644
--- a/src/Specific/CurveParameters/montgomery32_2e189m25.json
+++ b/src/Specific/CurveParameters/montgomery32_2e189m25.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "5"
+    "sz": "6"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e190m11.json b/src/Specific/CurveParameters/montgomery32_2e190m11.json
index c329c49d6..988a33d2a 100644
--- a/src/Specific/CurveParameters/montgomery32_2e190m11.json
+++ b/src/Specific/CurveParameters/montgomery32_2e190m11.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "5"
+    "sz": "6"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e191m19.json b/src/Specific/CurveParameters/montgomery32_2e191m19.json
index 62640347b..3535ebb8a 100644
--- a/src/Specific/CurveParameters/montgomery32_2e191m19.json
+++ b/src/Specific/CurveParameters/montgomery32_2e191m19.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "5"
+    "sz": "6"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e194m33.json b/src/Specific/CurveParameters/montgomery32_2e194m33.json
index 491aa2cb2..7d150a007 100644
--- a/src/Specific/CurveParameters/montgomery32_2e194m33.json
+++ b/src/Specific/CurveParameters/montgomery32_2e194m33.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "6"
+    "sz": "7"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e196m15.json b/src/Specific/CurveParameters/montgomery32_2e196m15.json
index 3497ef689..00447d22c 100644
--- a/src/Specific/CurveParameters/montgomery32_2e196m15.json
+++ b/src/Specific/CurveParameters/montgomery32_2e196m15.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "6"
+    "sz": "7"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e198m17.json b/src/Specific/CurveParameters/montgomery32_2e198m17.json
index 74c9da4ea..93f2504f1 100644
--- a/src/Specific/CurveParameters/montgomery32_2e198m17.json
+++ b/src/Specific/CurveParameters/montgomery32_2e198m17.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "6"
+    "sz": "7"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e206m5.json b/src/Specific/CurveParameters/montgomery32_2e206m5.json
index c7a4c8356..7d1613cf8 100644
--- a/src/Specific/CurveParameters/montgomery32_2e206m5.json
+++ b/src/Specific/CurveParameters/montgomery32_2e206m5.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "6"
+    "sz": "7"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e212m29.json b/src/Specific/CurveParameters/montgomery32_2e212m29.json
index d259eed78..296caafe8 100644
--- a/src/Specific/CurveParameters/montgomery32_2e212m29.json
+++ b/src/Specific/CurveParameters/montgomery32_2e212m29.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "6"
+    "sz": "7"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e213m3.json b/src/Specific/CurveParameters/montgomery32_2e213m3.json
index 5165c1c55..db1701ef6 100644
--- a/src/Specific/CurveParameters/montgomery32_2e213m3.json
+++ b/src/Specific/CurveParameters/montgomery32_2e213m3.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "6"
+    "sz": "7"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e216m2e108m1.json b/src/Specific/CurveParameters/montgomery32_2e216m2e108m1.json
index 82129d53c..44aabc047 100644
--- a/src/Specific/CurveParameters/montgomery32_2e216m2e108m1.json
+++ b/src/Specific/CurveParameters/montgomery32_2e216m2e108m1.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "6"
+    "sz": "7"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e221m3.json b/src/Specific/CurveParameters/montgomery32_2e221m3.json
index bf49bfb51..df48ca44e 100644
--- a/src/Specific/CurveParameters/montgomery32_2e221m3.json
+++ b/src/Specific/CurveParameters/montgomery32_2e221m3.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "6"
+    "sz": "7"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e222m117.json b/src/Specific/CurveParameters/montgomery32_2e222m117.json
index 81f2e07b6..21ef0336b 100644
--- a/src/Specific/CurveParameters/montgomery32_2e222m117.json
+++ b/src/Specific/CurveParameters/montgomery32_2e222m117.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "6"
+    "sz": "7"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e226m5.json b/src/Specific/CurveParameters/montgomery32_2e226m5.json
index cb91d9540..520c2cabb 100644
--- a/src/Specific/CurveParameters/montgomery32_2e226m5.json
+++ b/src/Specific/CurveParameters/montgomery32_2e226m5.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "7"
+    "sz": "8"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e230m27.json b/src/Specific/CurveParameters/montgomery32_2e230m27.json
index 2aa93b92a..c0e2e3ffc 100644
--- a/src/Specific/CurveParameters/montgomery32_2e230m27.json
+++ b/src/Specific/CurveParameters/montgomery32_2e230m27.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "7"
+    "sz": "8"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e235m15.json b/src/Specific/CurveParameters/montgomery32_2e235m15.json
index 629121b0e..d1ac065ed 100644
--- a/src/Specific/CurveParameters/montgomery32_2e235m15.json
+++ b/src/Specific/CurveParameters/montgomery32_2e235m15.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "7"
+    "sz": "8"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e243m9.json b/src/Specific/CurveParameters/montgomery32_2e243m9.json
index 6a9d61b04..7235d6146 100644
--- a/src/Specific/CurveParameters/montgomery32_2e243m9.json
+++ b/src/Specific/CurveParameters/montgomery32_2e243m9.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "7"
+    "sz": "8"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e251m9.json b/src/Specific/CurveParameters/montgomery32_2e251m9.json
index 7224f663a..f92b0abf7 100644
--- a/src/Specific/CurveParameters/montgomery32_2e251m9.json
+++ b/src/Specific/CurveParameters/montgomery32_2e251m9.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "7"
+    "sz": "8"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e255m19.json b/src/Specific/CurveParameters/montgomery32_2e255m19.json
index e6f5b35c6..f75d04895 100644
--- a/src/Specific/CurveParameters/montgomery32_2e255m19.json
+++ b/src/Specific/CurveParameters/montgomery32_2e255m19.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "7"
+    "sz": "8"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e255m2e4m2e1m1.json b/src/Specific/CurveParameters/montgomery32_2e255m2e4m2e1m1.json
index ab085d163..54780a736 100644
--- a/src/Specific/CurveParameters/montgomery32_2e255m2e4m2e1m1.json
+++ b/src/Specific/CurveParameters/montgomery32_2e255m2e4m2e1m1.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "7"
+    "sz": "8"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e255m765.json b/src/Specific/CurveParameters/montgomery32_2e255m765.json
index 0c1a25e96..123e84ad6 100644
--- a/src/Specific/CurveParameters/montgomery32_2e255m765.json
+++ b/src/Specific/CurveParameters/montgomery32_2e255m765.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "7"
+    "sz": "8"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e266m3.json b/src/Specific/CurveParameters/montgomery32_2e266m3.json
index 7737408a2..470a6a3fb 100644
--- a/src/Specific/CurveParameters/montgomery32_2e266m3.json
+++ b/src/Specific/CurveParameters/montgomery32_2e266m3.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "8"
+    "sz": "9"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e285m9.json b/src/Specific/CurveParameters/montgomery32_2e285m9.json
index fb51a2a1c..51d6a1e56 100644
--- a/src/Specific/CurveParameters/montgomery32_2e285m9.json
+++ b/src/Specific/CurveParameters/montgomery32_2e285m9.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "8"
+    "sz": "9"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e291m19.json b/src/Specific/CurveParameters/montgomery32_2e291m19.json
index 4c92bb3da..572bc37f7 100644
--- a/src/Specific/CurveParameters/montgomery32_2e291m19.json
+++ b/src/Specific/CurveParameters/montgomery32_2e291m19.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "9"
+    "sz": "10"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e321m9.json b/src/Specific/CurveParameters/montgomery32_2e321m9.json
index 4f1a84e79..787f5329b 100644
--- a/src/Specific/CurveParameters/montgomery32_2e321m9.json
+++ b/src/Specific/CurveParameters/montgomery32_2e321m9.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "10"
+    "sz": "11"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e322m2e161m1.json b/src/Specific/CurveParameters/montgomery32_2e322m2e161m1.json
index 619dc227c..212eb6314 100644
--- a/src/Specific/CurveParameters/montgomery32_2e322m2e161m1.json
+++ b/src/Specific/CurveParameters/montgomery32_2e322m2e161m1.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "10"
+    "sz": "11"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e336m17.json b/src/Specific/CurveParameters/montgomery32_2e336m17.json
index 76bfa3762..aaa4d5a77 100644
--- a/src/Specific/CurveParameters/montgomery32_2e336m17.json
+++ b/src/Specific/CurveParameters/montgomery32_2e336m17.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "10"
+    "sz": "11"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e336m3.json b/src/Specific/CurveParameters/montgomery32_2e336m3.json
index 15b2b92eb..f3e360151 100644
--- a/src/Specific/CurveParameters/montgomery32_2e336m3.json
+++ b/src/Specific/CurveParameters/montgomery32_2e336m3.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "10"
+    "sz": "11"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e338m15.json b/src/Specific/CurveParameters/montgomery32_2e338m15.json
index 4dde36b00..21906608e 100644
--- a/src/Specific/CurveParameters/montgomery32_2e338m15.json
+++ b/src/Specific/CurveParameters/montgomery32_2e338m15.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "10"
+    "sz": "11"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e369m25.json b/src/Specific/CurveParameters/montgomery32_2e369m25.json
index ccc1b5851..cf574f400 100644
--- a/src/Specific/CurveParameters/montgomery32_2e369m25.json
+++ b/src/Specific/CurveParameters/montgomery32_2e369m25.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "11"
+    "sz": "12"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e379m19.json b/src/Specific/CurveParameters/montgomery32_2e379m19.json
index 5782e4b42..d99c1dade 100644
--- a/src/Specific/CurveParameters/montgomery32_2e379m19.json
+++ b/src/Specific/CurveParameters/montgomery32_2e379m19.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "11"
+    "sz": "12"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e382m105.json b/src/Specific/CurveParameters/montgomery32_2e382m105.json
index be0fab5d9..8d696698f 100644
--- a/src/Specific/CurveParameters/montgomery32_2e382m105.json
+++ b/src/Specific/CurveParameters/montgomery32_2e382m105.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "11"
+    "sz": "12"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e383m187.json b/src/Specific/CurveParameters/montgomery32_2e383m187.json
index eb7e4874b..ffb44ee8c 100644
--- a/src/Specific/CurveParameters/montgomery32_2e383m187.json
+++ b/src/Specific/CurveParameters/montgomery32_2e383m187.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "11"
+    "sz": "12"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e383m31.json b/src/Specific/CurveParameters/montgomery32_2e383m31.json
index 903014a9a..487e1c1e9 100644
--- a/src/Specific/CurveParameters/montgomery32_2e383m31.json
+++ b/src/Specific/CurveParameters/montgomery32_2e383m31.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "11"
+    "sz": "12"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e383m421.json b/src/Specific/CurveParameters/montgomery32_2e383m421.json
index b97d93200..9c53f5458 100644
--- a/src/Specific/CurveParameters/montgomery32_2e383m421.json
+++ b/src/Specific/CurveParameters/montgomery32_2e383m421.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "11"
+    "sz": "12"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e389m21.json b/src/Specific/CurveParameters/montgomery32_2e389m21.json
index 7101813a7..1c4afe659 100644
--- a/src/Specific/CurveParameters/montgomery32_2e389m21.json
+++ b/src/Specific/CurveParameters/montgomery32_2e389m21.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "12"
+    "sz": "13"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e401m31.json b/src/Specific/CurveParameters/montgomery32_2e401m31.json
index 1c6bab008..5b70e3250 100644
--- a/src/Specific/CurveParameters/montgomery32_2e401m31.json
+++ b/src/Specific/CurveParameters/montgomery32_2e401m31.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "12"
+    "sz": "13"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e413m21.json b/src/Specific/CurveParameters/montgomery32_2e413m21.json
index 71d8fbb64..449f82517 100644
--- a/src/Specific/CurveParameters/montgomery32_2e413m21.json
+++ b/src/Specific/CurveParameters/montgomery32_2e413m21.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "12"
+    "sz": "13"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e414m17.json b/src/Specific/CurveParameters/montgomery32_2e414m17.json
index 8c9d33618..4822e19a9 100644
--- a/src/Specific/CurveParameters/montgomery32_2e414m17.json
+++ b/src/Specific/CurveParameters/montgomery32_2e414m17.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "12"
+    "sz": "13"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e444m17.json b/src/Specific/CurveParameters/montgomery32_2e444m17.json
index 6e597049f..6a525161f 100644
--- a/src/Specific/CurveParameters/montgomery32_2e444m17.json
+++ b/src/Specific/CurveParameters/montgomery32_2e444m17.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "13"
+    "sz": "14"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e450m2e225m1.json b/src/Specific/CurveParameters/montgomery32_2e450m2e225m1.json
index 07898577f..6ea797027 100644
--- a/src/Specific/CurveParameters/montgomery32_2e450m2e225m1.json
+++ b/src/Specific/CurveParameters/montgomery32_2e450m2e225m1.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "14"
+    "sz": "15"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e452m3.json b/src/Specific/CurveParameters/montgomery32_2e452m3.json
index 6c503ad58..842f01daa 100644
--- a/src/Specific/CurveParameters/montgomery32_2e452m3.json
+++ b/src/Specific/CurveParameters/montgomery32_2e452m3.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "14"
+    "sz": "15"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e468m17.json b/src/Specific/CurveParameters/montgomery32_2e468m17.json
index 176b81fd4..9604563bf 100644
--- a/src/Specific/CurveParameters/montgomery32_2e468m17.json
+++ b/src/Specific/CurveParameters/montgomery32_2e468m17.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "14"
+    "sz": "15"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e488m17.json b/src/Specific/CurveParameters/montgomery32_2e488m17.json
index d5560aa91..3029c3a45 100644
--- a/src/Specific/CurveParameters/montgomery32_2e488m17.json
+++ b/src/Specific/CurveParameters/montgomery32_2e488m17.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "15"
+    "sz": "16"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e489m21.json b/src/Specific/CurveParameters/montgomery32_2e489m21.json
index 85439c6ac..a496ded99 100644
--- a/src/Specific/CurveParameters/montgomery32_2e489m21.json
+++ b/src/Specific/CurveParameters/montgomery32_2e489m21.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "15"
+    "sz": "16"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e495m31.json b/src/Specific/CurveParameters/montgomery32_2e495m31.json
index 7028cb832..4a2cb741c 100644
--- a/src/Specific/CurveParameters/montgomery32_2e495m31.json
+++ b/src/Specific/CurveParameters/montgomery32_2e495m31.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "15"
+    "sz": "16"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e511m187.json b/src/Specific/CurveParameters/montgomery32_2e511m187.json
index 3464274e5..f8a03fe26 100644
--- a/src/Specific/CurveParameters/montgomery32_2e511m187.json
+++ b/src/Specific/CurveParameters/montgomery32_2e511m187.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "15"
+    "sz": "16"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e511m481.json b/src/Specific/CurveParameters/montgomery32_2e511m481.json
index 45612e0cc..f1b552a8f 100644
--- a/src/Specific/CurveParameters/montgomery32_2e511m481.json
+++ b/src/Specific/CurveParameters/montgomery32_2e511m481.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "15"
+    "sz": "16"
 }
diff --git a/src/Specific/CurveParameters/montgomery32_2e521m1.json b/src/Specific/CurveParameters/montgomery32_2e521m1.json
index 619156127..122404c93 100644
--- a/src/Specific/CurveParameters/montgomery32_2e521m1.json
+++ b/src/Specific/CurveParameters/montgomery32_2e521m1.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "16"
+    "sz": "17"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e127m1.json b/src/Specific/CurveParameters/montgomery64_2e127m1.json
index 5ddb1d59d..9a4d3efcc 100644
--- a/src/Specific/CurveParameters/montgomery64_2e127m1.json
+++ b/src/Specific/CurveParameters/montgomery64_2e127m1.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "1"
+    "sz": "2"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e129m25.json b/src/Specific/CurveParameters/montgomery64_2e129m25.json
index cd6de8d7f..a2dd39dfd 100644
--- a/src/Specific/CurveParameters/montgomery64_2e129m25.json
+++ b/src/Specific/CurveParameters/montgomery64_2e129m25.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "2"
+    "sz": "3"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e130m5.json b/src/Specific/CurveParameters/montgomery64_2e130m5.json
index ea582984a..58a1042dd 100644
--- a/src/Specific/CurveParameters/montgomery64_2e130m5.json
+++ b/src/Specific/CurveParameters/montgomery64_2e130m5.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "2"
+    "sz": "3"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e137m13.json b/src/Specific/CurveParameters/montgomery64_2e137m13.json
index cc77a3fbd..f479d5173 100644
--- a/src/Specific/CurveParameters/montgomery64_2e137m13.json
+++ b/src/Specific/CurveParameters/montgomery64_2e137m13.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "2"
+    "sz": "3"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e140m27.json b/src/Specific/CurveParameters/montgomery64_2e140m27.json
index 7495ba810..7acbe1eb0 100644
--- a/src/Specific/CurveParameters/montgomery64_2e140m27.json
+++ b/src/Specific/CurveParameters/montgomery64_2e140m27.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "2"
+    "sz": "3"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e141m9.json b/src/Specific/CurveParameters/montgomery64_2e141m9.json
index 04ca67640..7cbd29be0 100644
--- a/src/Specific/CurveParameters/montgomery64_2e141m9.json
+++ b/src/Specific/CurveParameters/montgomery64_2e141m9.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "2"
+    "sz": "3"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e150m3.json b/src/Specific/CurveParameters/montgomery64_2e150m3.json
index 029f1bf8b..2713777b5 100644
--- a/src/Specific/CurveParameters/montgomery64_2e150m3.json
+++ b/src/Specific/CurveParameters/montgomery64_2e150m3.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "2"
+    "sz": "3"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e150m5.json b/src/Specific/CurveParameters/montgomery64_2e150m5.json
index 05bde943d..ebf294c59 100644
--- a/src/Specific/CurveParameters/montgomery64_2e150m5.json
+++ b/src/Specific/CurveParameters/montgomery64_2e150m5.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "2"
+    "sz": "3"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e152m17.json b/src/Specific/CurveParameters/montgomery64_2e152m17.json
index e2ded9a90..d0fdca7f8 100644
--- a/src/Specific/CurveParameters/montgomery64_2e152m17.json
+++ b/src/Specific/CurveParameters/montgomery64_2e152m17.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "2"
+    "sz": "3"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e158m15.json b/src/Specific/CurveParameters/montgomery64_2e158m15.json
index 69cb18613..a23e0509c 100644
--- a/src/Specific/CurveParameters/montgomery64_2e158m15.json
+++ b/src/Specific/CurveParameters/montgomery64_2e158m15.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "2"
+    "sz": "3"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e165m25.json b/src/Specific/CurveParameters/montgomery64_2e165m25.json
index 7e13783b7..d14c491f4 100644
--- a/src/Specific/CurveParameters/montgomery64_2e165m25.json
+++ b/src/Specific/CurveParameters/montgomery64_2e165m25.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "2"
+    "sz": "3"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e166m5.json b/src/Specific/CurveParameters/montgomery64_2e166m5.json
index 4d2e0c5c5..28fdccf62 100644
--- a/src/Specific/CurveParameters/montgomery64_2e166m5.json
+++ b/src/Specific/CurveParameters/montgomery64_2e166m5.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "2"
+    "sz": "3"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e171m19.json b/src/Specific/CurveParameters/montgomery64_2e171m19.json
index 1a27fa7b4..66162664d 100644
--- a/src/Specific/CurveParameters/montgomery64_2e171m19.json
+++ b/src/Specific/CurveParameters/montgomery64_2e171m19.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "2"
+    "sz": "3"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e174m17.json b/src/Specific/CurveParameters/montgomery64_2e174m17.json
index a829af883..b484beeea 100644
--- a/src/Specific/CurveParameters/montgomery64_2e174m17.json
+++ b/src/Specific/CurveParameters/montgomery64_2e174m17.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "2"
+    "sz": "3"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e174m3.json b/src/Specific/CurveParameters/montgomery64_2e174m3.json
index 1d47553ea..79d0471a2 100644
--- a/src/Specific/CurveParameters/montgomery64_2e174m3.json
+++ b/src/Specific/CurveParameters/montgomery64_2e174m3.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "2"
+    "sz": "3"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e189m25.json b/src/Specific/CurveParameters/montgomery64_2e189m25.json
index 4e3b04feb..d5f308ea2 100644
--- a/src/Specific/CurveParameters/montgomery64_2e189m25.json
+++ b/src/Specific/CurveParameters/montgomery64_2e189m25.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "2"
+    "sz": "3"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e190m11.json b/src/Specific/CurveParameters/montgomery64_2e190m11.json
index 1644be6fd..ad0f1d0c0 100644
--- a/src/Specific/CurveParameters/montgomery64_2e190m11.json
+++ b/src/Specific/CurveParameters/montgomery64_2e190m11.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "2"
+    "sz": "3"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e191m19.json b/src/Specific/CurveParameters/montgomery64_2e191m19.json
index 224d9e207..b795c52cd 100644
--- a/src/Specific/CurveParameters/montgomery64_2e191m19.json
+++ b/src/Specific/CurveParameters/montgomery64_2e191m19.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "2"
+    "sz": "3"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e194m33.json b/src/Specific/CurveParameters/montgomery64_2e194m33.json
index 626b16c58..59e71c24d 100644
--- a/src/Specific/CurveParameters/montgomery64_2e194m33.json
+++ b/src/Specific/CurveParameters/montgomery64_2e194m33.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "3"
+    "sz": "4"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e196m15.json b/src/Specific/CurveParameters/montgomery64_2e196m15.json
index cd7666e47..da158bb04 100644
--- a/src/Specific/CurveParameters/montgomery64_2e196m15.json
+++ b/src/Specific/CurveParameters/montgomery64_2e196m15.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "3"
+    "sz": "4"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e198m17.json b/src/Specific/CurveParameters/montgomery64_2e198m17.json
index 5f61abd17..ba5765de4 100644
--- a/src/Specific/CurveParameters/montgomery64_2e198m17.json
+++ b/src/Specific/CurveParameters/montgomery64_2e198m17.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "3"
+    "sz": "4"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e206m5.json b/src/Specific/CurveParameters/montgomery64_2e206m5.json
index ddfc0eefc..f6649226a 100644
--- a/src/Specific/CurveParameters/montgomery64_2e206m5.json
+++ b/src/Specific/CurveParameters/montgomery64_2e206m5.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "3"
+    "sz": "4"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e212m29.json b/src/Specific/CurveParameters/montgomery64_2e212m29.json
index cb20a2698..64b11fbb7 100644
--- a/src/Specific/CurveParameters/montgomery64_2e212m29.json
+++ b/src/Specific/CurveParameters/montgomery64_2e212m29.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "3"
+    "sz": "4"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e213m3.json b/src/Specific/CurveParameters/montgomery64_2e213m3.json
index f366ec928..f71954aae 100644
--- a/src/Specific/CurveParameters/montgomery64_2e213m3.json
+++ b/src/Specific/CurveParameters/montgomery64_2e213m3.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "3"
+    "sz": "4"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e216m2e108m1.json b/src/Specific/CurveParameters/montgomery64_2e216m2e108m1.json
index 6c7984d87..08dc2dac8 100644
--- a/src/Specific/CurveParameters/montgomery64_2e216m2e108m1.json
+++ b/src/Specific/CurveParameters/montgomery64_2e216m2e108m1.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "3"
+    "sz": "4"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e221m3.json b/src/Specific/CurveParameters/montgomery64_2e221m3.json
index 11c9f4f7f..ad3f2ecaf 100644
--- a/src/Specific/CurveParameters/montgomery64_2e221m3.json
+++ b/src/Specific/CurveParameters/montgomery64_2e221m3.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "3"
+    "sz": "4"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e222m117.json b/src/Specific/CurveParameters/montgomery64_2e222m117.json
index a2480ca7d..d2b24dc04 100644
--- a/src/Specific/CurveParameters/montgomery64_2e222m117.json
+++ b/src/Specific/CurveParameters/montgomery64_2e222m117.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "3"
+    "sz": "4"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e224m2e96p1.json b/src/Specific/CurveParameters/montgomery64_2e224m2e96p1.json
index 5e3603b24..1fbb5f39c 100644
--- a/src/Specific/CurveParameters/montgomery64_2e224m2e96p1.json
+++ b/src/Specific/CurveParameters/montgomery64_2e224m2e96p1.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "3"
+    "sz": "4"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e226m5.json b/src/Specific/CurveParameters/montgomery64_2e226m5.json
index cda78f08b..53ee6cf79 100644
--- a/src/Specific/CurveParameters/montgomery64_2e226m5.json
+++ b/src/Specific/CurveParameters/montgomery64_2e226m5.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "3"
+    "sz": "4"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e230m27.json b/src/Specific/CurveParameters/montgomery64_2e230m27.json
index c4010f695..4dc1a3282 100644
--- a/src/Specific/CurveParameters/montgomery64_2e230m27.json
+++ b/src/Specific/CurveParameters/montgomery64_2e230m27.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "3"
+    "sz": "4"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e235m15.json b/src/Specific/CurveParameters/montgomery64_2e235m15.json
index 2acf4c820..f2b6981e5 100644
--- a/src/Specific/CurveParameters/montgomery64_2e235m15.json
+++ b/src/Specific/CurveParameters/montgomery64_2e235m15.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "3"
+    "sz": "4"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e243m9.json b/src/Specific/CurveParameters/montgomery64_2e243m9.json
index b31b2edbb..79a67ebd6 100644
--- a/src/Specific/CurveParameters/montgomery64_2e243m9.json
+++ b/src/Specific/CurveParameters/montgomery64_2e243m9.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "3"
+    "sz": "4"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e251m9.json b/src/Specific/CurveParameters/montgomery64_2e251m9.json
index 5dd25400d..6d4d5a423 100644
--- a/src/Specific/CurveParameters/montgomery64_2e251m9.json
+++ b/src/Specific/CurveParameters/montgomery64_2e251m9.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "3"
+    "sz": "4"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e255m19.json b/src/Specific/CurveParameters/montgomery64_2e255m19.json
index 3717e59ee..80bf3fb2b 100644
--- a/src/Specific/CurveParameters/montgomery64_2e255m19.json
+++ b/src/Specific/CurveParameters/montgomery64_2e255m19.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "3"
+    "sz": "4"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e255m2e4m2e1m1.json b/src/Specific/CurveParameters/montgomery64_2e255m2e4m2e1m1.json
index cf859e4d9..9af49cfb0 100644
--- a/src/Specific/CurveParameters/montgomery64_2e255m2e4m2e1m1.json
+++ b/src/Specific/CurveParameters/montgomery64_2e255m2e4m2e1m1.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "3"
+    "sz": "4"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e255m765.json b/src/Specific/CurveParameters/montgomery64_2e255m765.json
index 98189ec30..0bccd1474 100644
--- a/src/Specific/CurveParameters/montgomery64_2e255m765.json
+++ b/src/Specific/CurveParameters/montgomery64_2e255m765.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "3"
+    "sz": "4"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e266m3.json b/src/Specific/CurveParameters/montgomery64_2e266m3.json
index af5491cb2..4a5c08edb 100644
--- a/src/Specific/CurveParameters/montgomery64_2e266m3.json
+++ b/src/Specific/CurveParameters/montgomery64_2e266m3.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "4"
+    "sz": "5"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e285m9.json b/src/Specific/CurveParameters/montgomery64_2e285m9.json
index 933db4492..d8deef6bd 100644
--- a/src/Specific/CurveParameters/montgomery64_2e285m9.json
+++ b/src/Specific/CurveParameters/montgomery64_2e285m9.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "4"
+    "sz": "5"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e291m19.json b/src/Specific/CurveParameters/montgomery64_2e291m19.json
index 1e269f157..e6d41c5de 100644
--- a/src/Specific/CurveParameters/montgomery64_2e291m19.json
+++ b/src/Specific/CurveParameters/montgomery64_2e291m19.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "4"
+    "sz": "5"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e321m9.json b/src/Specific/CurveParameters/montgomery64_2e321m9.json
index d30fbafc8..beaccf2c4 100644
--- a/src/Specific/CurveParameters/montgomery64_2e321m9.json
+++ b/src/Specific/CurveParameters/montgomery64_2e321m9.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "5"
+    "sz": "6"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e322m2e161m1.json b/src/Specific/CurveParameters/montgomery64_2e322m2e161m1.json
index cd347d920..7910194f1 100644
--- a/src/Specific/CurveParameters/montgomery64_2e322m2e161m1.json
+++ b/src/Specific/CurveParameters/montgomery64_2e322m2e161m1.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "5"
+    "sz": "6"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e336m17.json b/src/Specific/CurveParameters/montgomery64_2e336m17.json
index 59bf3450d..320a21df6 100644
--- a/src/Specific/CurveParameters/montgomery64_2e336m17.json
+++ b/src/Specific/CurveParameters/montgomery64_2e336m17.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "5"
+    "sz": "6"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e336m3.json b/src/Specific/CurveParameters/montgomery64_2e336m3.json
index 4c06f5c29..14d0f999e 100644
--- a/src/Specific/CurveParameters/montgomery64_2e336m3.json
+++ b/src/Specific/CurveParameters/montgomery64_2e336m3.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "5"
+    "sz": "6"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e338m15.json b/src/Specific/CurveParameters/montgomery64_2e338m15.json
index cde57f349..fb8bc0fb2 100644
--- a/src/Specific/CurveParameters/montgomery64_2e338m15.json
+++ b/src/Specific/CurveParameters/montgomery64_2e338m15.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "5"
+    "sz": "6"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e369m25.json b/src/Specific/CurveParameters/montgomery64_2e369m25.json
index 19f7e1055..e34f9091b 100644
--- a/src/Specific/CurveParameters/montgomery64_2e369m25.json
+++ b/src/Specific/CurveParameters/montgomery64_2e369m25.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "5"
+    "sz": "6"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e379m19.json b/src/Specific/CurveParameters/montgomery64_2e379m19.json
index 92a025c11..337c0cae5 100644
--- a/src/Specific/CurveParameters/montgomery64_2e379m19.json
+++ b/src/Specific/CurveParameters/montgomery64_2e379m19.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "5"
+    "sz": "6"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e382m105.json b/src/Specific/CurveParameters/montgomery64_2e382m105.json
index ac9bb7e72..b26ff6f40 100644
--- a/src/Specific/CurveParameters/montgomery64_2e382m105.json
+++ b/src/Specific/CurveParameters/montgomery64_2e382m105.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "5"
+    "sz": "6"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e383m187.json b/src/Specific/CurveParameters/montgomery64_2e383m187.json
index 26c494ce7..0a31ae518 100644
--- a/src/Specific/CurveParameters/montgomery64_2e383m187.json
+++ b/src/Specific/CurveParameters/montgomery64_2e383m187.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "5"
+    "sz": "6"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e383m31.json b/src/Specific/CurveParameters/montgomery64_2e383m31.json
index 48867bbe5..18dd23f09 100644
--- a/src/Specific/CurveParameters/montgomery64_2e383m31.json
+++ b/src/Specific/CurveParameters/montgomery64_2e383m31.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "5"
+    "sz": "6"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e383m421.json b/src/Specific/CurveParameters/montgomery64_2e383m421.json
index d8cde538c..4129bfeff 100644
--- a/src/Specific/CurveParameters/montgomery64_2e383m421.json
+++ b/src/Specific/CurveParameters/montgomery64_2e383m421.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "5"
+    "sz": "6"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e389m21.json b/src/Specific/CurveParameters/montgomery64_2e389m21.json
index 43aa7d8b2..5456be3eb 100644
--- a/src/Specific/CurveParameters/montgomery64_2e389m21.json
+++ b/src/Specific/CurveParameters/montgomery64_2e389m21.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "6"
+    "sz": "7"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e401m31.json b/src/Specific/CurveParameters/montgomery64_2e401m31.json
index baa9089cf..2c726d58c 100644
--- a/src/Specific/CurveParameters/montgomery64_2e401m31.json
+++ b/src/Specific/CurveParameters/montgomery64_2e401m31.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "6"
+    "sz": "7"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e413m21.json b/src/Specific/CurveParameters/montgomery64_2e413m21.json
index d8b35b65b..b2726e349 100644
--- a/src/Specific/CurveParameters/montgomery64_2e413m21.json
+++ b/src/Specific/CurveParameters/montgomery64_2e413m21.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "6"
+    "sz": "7"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e414m17.json b/src/Specific/CurveParameters/montgomery64_2e414m17.json
index ebfb3b369..96de35fb0 100644
--- a/src/Specific/CurveParameters/montgomery64_2e414m17.json
+++ b/src/Specific/CurveParameters/montgomery64_2e414m17.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "6"
+    "sz": "7"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e416m2e208m1.json b/src/Specific/CurveParameters/montgomery64_2e416m2e208m1.json
index e5eb4f7c5..fe6936ea9 100644
--- a/src/Specific/CurveParameters/montgomery64_2e416m2e208m1.json
+++ b/src/Specific/CurveParameters/montgomery64_2e416m2e208m1.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "6"
+    "sz": "7"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e444m17.json b/src/Specific/CurveParameters/montgomery64_2e444m17.json
index 2cf15959a..60404a40a 100644
--- a/src/Specific/CurveParameters/montgomery64_2e444m17.json
+++ b/src/Specific/CurveParameters/montgomery64_2e444m17.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "6"
+    "sz": "7"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e450m2e225m1.json b/src/Specific/CurveParameters/montgomery64_2e450m2e225m1.json
index 6b00fc539..b5affaf1d 100644
--- a/src/Specific/CurveParameters/montgomery64_2e450m2e225m1.json
+++ b/src/Specific/CurveParameters/montgomery64_2e450m2e225m1.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "7"
+    "sz": "8"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e452m3.json b/src/Specific/CurveParameters/montgomery64_2e452m3.json
index 125bf5abd..c4b577388 100644
--- a/src/Specific/CurveParameters/montgomery64_2e452m3.json
+++ b/src/Specific/CurveParameters/montgomery64_2e452m3.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "7"
+    "sz": "8"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e468m17.json b/src/Specific/CurveParameters/montgomery64_2e468m17.json
index a0cef5c15..03337e231 100644
--- a/src/Specific/CurveParameters/montgomery64_2e468m17.json
+++ b/src/Specific/CurveParameters/montgomery64_2e468m17.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "7"
+    "sz": "8"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e480m2e240m1.json b/src/Specific/CurveParameters/montgomery64_2e480m2e240m1.json
index 4ebcae016..99b8e4a6b 100644
--- a/src/Specific/CurveParameters/montgomery64_2e480m2e240m1.json
+++ b/src/Specific/CurveParameters/montgomery64_2e480m2e240m1.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "7"
+    "sz": "8"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e488m17.json b/src/Specific/CurveParameters/montgomery64_2e488m17.json
index 877f7723b..98738bdb8 100644
--- a/src/Specific/CurveParameters/montgomery64_2e488m17.json
+++ b/src/Specific/CurveParameters/montgomery64_2e488m17.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "7"
+    "sz": "8"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e489m21.json b/src/Specific/CurveParameters/montgomery64_2e489m21.json
index e74666110..d5728237d 100644
--- a/src/Specific/CurveParameters/montgomery64_2e489m21.json
+++ b/src/Specific/CurveParameters/montgomery64_2e489m21.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "7"
+    "sz": "8"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e495m31.json b/src/Specific/CurveParameters/montgomery64_2e495m31.json
index eb116876c..b4a29e928 100644
--- a/src/Specific/CurveParameters/montgomery64_2e495m31.json
+++ b/src/Specific/CurveParameters/montgomery64_2e495m31.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "7"
+    "sz": "8"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e511m187.json b/src/Specific/CurveParameters/montgomery64_2e511m187.json
index db3de8d15..f67bf3a67 100644
--- a/src/Specific/CurveParameters/montgomery64_2e511m187.json
+++ b/src/Specific/CurveParameters/montgomery64_2e511m187.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "7"
+    "sz": "8"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e511m481.json b/src/Specific/CurveParameters/montgomery64_2e511m481.json
index 399e31c70..811275ae8 100644
--- a/src/Specific/CurveParameters/montgomery64_2e511m481.json
+++ b/src/Specific/CurveParameters/montgomery64_2e511m481.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "7"
+    "sz": "8"
 }
diff --git a/src/Specific/CurveParameters/montgomery64_2e521m1.json b/src/Specific/CurveParameters/montgomery64_2e521m1.json
index ecafe6b67..1c0803192 100644
--- a/src/Specific/CurveParameters/montgomery64_2e521m1.json
+++ b/src/Specific/CurveParameters/montgomery64_2e521m1.json
@@ -10,5 +10,5 @@
         "feopp",
         "fesub"
     ],
-    "sz": "8"
+    "sz": "9"
 }
diff --git a/src/Specific/CurveParameters/solinas32_2e127m1.json b/src/Specific/CurveParameters/solinas32_2e127m1.json
index 04f344ad0..ecaea7998 100644
--- a/src/Specific/CurveParameters/solinas32_2e127m1.json
+++ b/src/Specific/CurveParameters/solinas32_2e127m1.json
@@ -1,5 +1,5 @@
 {
-    "base": "21",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e129m25.json b/src/Specific/CurveParameters/solinas32_2e129m25.json
index e356c54e7..9a685eb48 100644
--- a/src/Specific/CurveParameters/solinas32_2e129m25.json
+++ b/src/Specific/CurveParameters/solinas32_2e129m25.json
@@ -1,5 +1,5 @@
 {
-    "base": "21",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e130m5.json b/src/Specific/CurveParameters/solinas32_2e130m5.json
index ac33272c1..df4e6f8b7 100644
--- a/src/Specific/CurveParameters/solinas32_2e130m5.json
+++ b/src/Specific/CurveParameters/solinas32_2e130m5.json
@@ -1,5 +1,5 @@
 {
-    "base": "16",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e137m13.json b/src/Specific/CurveParameters/solinas32_2e137m13.json
index db7ed822e..3c5c3841a 100644
--- a/src/Specific/CurveParameters/solinas32_2e137m13.json
+++ b/src/Specific/CurveParameters/solinas32_2e137m13.json
@@ -1,5 +1,5 @@
 {
-    "base": "17",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e140m27.json b/src/Specific/CurveParameters/solinas32_2e140m27.json
index 19dd861d3..182d68f03 100644
--- a/src/Specific/CurveParameters/solinas32_2e140m27.json
+++ b/src/Specific/CurveParameters/solinas32_2e140m27.json
@@ -1,5 +1,5 @@
 {
-    "base": "20",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e141m9.json b/src/Specific/CurveParameters/solinas32_2e141m9.json
index 6ab0f1ea5..b89be8e0f 100644
--- a/src/Specific/CurveParameters/solinas32_2e141m9.json
+++ b/src/Specific/CurveParameters/solinas32_2e141m9.json
@@ -1,5 +1,5 @@
 {
-    "base": "20",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e150m3.json b/src/Specific/CurveParameters/solinas32_2e150m3.json
index 330e4de11..dfb421841 100644
--- a/src/Specific/CurveParameters/solinas32_2e150m3.json
+++ b/src/Specific/CurveParameters/solinas32_2e150m3.json
@@ -1,5 +1,5 @@
 {
-    "base": "25",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e150m5.json b/src/Specific/CurveParameters/solinas32_2e150m5.json
index a14b85bc5..c6c7740e7 100644
--- a/src/Specific/CurveParameters/solinas32_2e150m5.json
+++ b/src/Specific/CurveParameters/solinas32_2e150m5.json
@@ -1,5 +1,5 @@
 {
-    "base": "15",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e152m17.json b/src/Specific/CurveParameters/solinas32_2e152m17.json
index 475d87ac2..926100028 100644
--- a/src/Specific/CurveParameters/solinas32_2e152m17.json
+++ b/src/Specific/CurveParameters/solinas32_2e152m17.json
@@ -1,5 +1,5 @@
 {
-    "base": "19",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e158m15.json b/src/Specific/CurveParameters/solinas32_2e158m15.json
index 4cd9e869d..f553ae2a0 100644
--- a/src/Specific/CurveParameters/solinas32_2e158m15.json
+++ b/src/Specific/CurveParameters/solinas32_2e158m15.json
@@ -1,5 +1,5 @@
 {
-    "base": "13",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e165m25.json b/src/Specific/CurveParameters/solinas32_2e165m25.json
index a6eb89338..fbdac9087 100644
--- a/src/Specific/CurveParameters/solinas32_2e165m25.json
+++ b/src/Specific/CurveParameters/solinas32_2e165m25.json
@@ -1,5 +1,5 @@
 {
-    "base": "18",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e166m5.json b/src/Specific/CurveParameters/solinas32_2e166m5.json
index 28a5b2cf9..c7af1b7b6 100644
--- a/src/Specific/CurveParameters/solinas32_2e166m5.json
+++ b/src/Specific/CurveParameters/solinas32_2e166m5.json
@@ -1,5 +1,5 @@
 {
-    "base": "15",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e171m19.json b/src/Specific/CurveParameters/solinas32_2e171m19.json
index 6bc59a012..cd097b0fe 100644
--- a/src/Specific/CurveParameters/solinas32_2e171m19.json
+++ b/src/Specific/CurveParameters/solinas32_2e171m19.json
@@ -1,5 +1,5 @@
 {
-    "base": "19",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e174m17.json b/src/Specific/CurveParameters/solinas32_2e174m17.json
index 7fbed1634..db6b8d839 100644
--- a/src/Specific/CurveParameters/solinas32_2e174m17.json
+++ b/src/Specific/CurveParameters/solinas32_2e174m17.json
@@ -1,5 +1,5 @@
 {
-    "base": "19",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e174m3.json b/src/Specific/CurveParameters/solinas32_2e174m3.json
index 27cf4f3fc..161d4523e 100644
--- a/src/Specific/CurveParameters/solinas32_2e174m3.json
+++ b/src/Specific/CurveParameters/solinas32_2e174m3.json
@@ -1,5 +1,5 @@
 {
-    "base": "19",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e189m25.json b/src/Specific/CurveParameters/solinas32_2e189m25.json
index b07607e07..f546d6813 100644
--- a/src/Specific/CurveParameters/solinas32_2e189m25.json
+++ b/src/Specific/CurveParameters/solinas32_2e189m25.json
@@ -1,5 +1,5 @@
 {
-    "base": "21",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e190m11.json b/src/Specific/CurveParameters/solinas32_2e190m11.json
index 9aef66fa0..b9bed0c51 100644
--- a/src/Specific/CurveParameters/solinas32_2e190m11.json
+++ b/src/Specific/CurveParameters/solinas32_2e190m11.json
@@ -1,5 +1,5 @@
 {
-    "base": "21",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e191m19.json b/src/Specific/CurveParameters/solinas32_2e191m19.json
index 3540fe1ab..e0f179d88 100644
--- a/src/Specific/CurveParameters/solinas32_2e191m19.json
+++ b/src/Specific/CurveParameters/solinas32_2e191m19.json
@@ -1,5 +1,5 @@
 {
-    "base": "19",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e192m2e64m1.json b/src/Specific/CurveParameters/solinas32_2e192m2e64m1.json
index 8bcb98cc2..a3222b85d 100644
--- a/src/Specific/CurveParameters/solinas32_2e192m2e64m1.json
+++ b/src/Specific/CurveParameters/solinas32_2e192m2e64m1.json
@@ -1,5 +1,5 @@
 {
-    "base": "24",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e194m33.json b/src/Specific/CurveParameters/solinas32_2e194m33.json
index 1641d2f9c..b11c390e0 100644
--- a/src/Specific/CurveParameters/solinas32_2e194m33.json
+++ b/src/Specific/CurveParameters/solinas32_2e194m33.json
@@ -1,5 +1,5 @@
 {
-    "base": "16",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e196m15.json b/src/Specific/CurveParameters/solinas32_2e196m15.json
index 36e672043..57d500225 100644
--- a/src/Specific/CurveParameters/solinas32_2e196m15.json
+++ b/src/Specific/CurveParameters/solinas32_2e196m15.json
@@ -1,5 +1,5 @@
 {
-    "base": "24",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e198m17.json b/src/Specific/CurveParameters/solinas32_2e198m17.json
index a57680127..d64f82d15 100644
--- a/src/Specific/CurveParameters/solinas32_2e198m17.json
+++ b/src/Specific/CurveParameters/solinas32_2e198m17.json
@@ -1,5 +1,5 @@
 {
-    "base": "22",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e206m5.json b/src/Specific/CurveParameters/solinas32_2e206m5.json
index 67ff9a605..567d55e5c 100644
--- a/src/Specific/CurveParameters/solinas32_2e206m5.json
+++ b/src/Specific/CurveParameters/solinas32_2e206m5.json
@@ -1,5 +1,5 @@
 {
-    "base": "17",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e212m29.json b/src/Specific/CurveParameters/solinas32_2e212m29.json
index 995ec3037..920a4a189 100644
--- a/src/Specific/CurveParameters/solinas32_2e212m29.json
+++ b/src/Specific/CurveParameters/solinas32_2e212m29.json
@@ -1,5 +1,5 @@
 {
-    "base": "21",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e213m3.json b/src/Specific/CurveParameters/solinas32_2e213m3.json
index 311a5de79..e7bc5c3cc 100644
--- a/src/Specific/CurveParameters/solinas32_2e213m3.json
+++ b/src/Specific/CurveParameters/solinas32_2e213m3.json
@@ -1,5 +1,5 @@
 {
-    "base": "14",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e216m2e108m1.json b/src/Specific/CurveParameters/solinas32_2e216m2e108m1.json
index 2f3061743..41c5925df 100644
--- a/src/Specific/CurveParameters/solinas32_2e216m2e108m1.json
+++ b/src/Specific/CurveParameters/solinas32_2e216m2e108m1.json
@@ -1,5 +1,5 @@
 {
-    "base": "27",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e221m3.json b/src/Specific/CurveParameters/solinas32_2e221m3.json
index 3732a307e..3cf33af8e 100644
--- a/src/Specific/CurveParameters/solinas32_2e221m3.json
+++ b/src/Specific/CurveParameters/solinas32_2e221m3.json
@@ -1,5 +1,5 @@
 {
-    "base": "22",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e222m117.json b/src/Specific/CurveParameters/solinas32_2e222m117.json
index b246f8059..ab7f150e7 100644
--- a/src/Specific/CurveParameters/solinas32_2e222m117.json
+++ b/src/Specific/CurveParameters/solinas32_2e222m117.json
@@ -1,5 +1,5 @@
 {
-    "base": "22",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e224m2e96p1.json b/src/Specific/CurveParameters/solinas32_2e224m2e96p1.json
index 77223727e..cf750daa3 100644
--- a/src/Specific/CurveParameters/solinas32_2e224m2e96p1.json
+++ b/src/Specific/CurveParameters/solinas32_2e224m2e96p1.json
@@ -1,5 +1,5 @@
 {
-    "base": "28",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e226m5.json b/src/Specific/CurveParameters/solinas32_2e226m5.json
index 5bc176a31..951ee8e02 100644
--- a/src/Specific/CurveParameters/solinas32_2e226m5.json
+++ b/src/Specific/CurveParameters/solinas32_2e226m5.json
@@ -1,5 +1,5 @@
 {
-    "base": "25",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e230m27.json b/src/Specific/CurveParameters/solinas32_2e230m27.json
index 857d13036..dc2d748dd 100644
--- a/src/Specific/CurveParameters/solinas32_2e230m27.json
+++ b/src/Specific/CurveParameters/solinas32_2e230m27.json
@@ -1,5 +1,5 @@
 {
-    "base": "23",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e235m15.json b/src/Specific/CurveParameters/solinas32_2e235m15.json
index 29a537160..1b680988e 100644
--- a/src/Specific/CurveParameters/solinas32_2e235m15.json
+++ b/src/Specific/CurveParameters/solinas32_2e235m15.json
@@ -1,5 +1,5 @@
 {
-    "base": "23",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e243m9.json b/src/Specific/CurveParameters/solinas32_2e243m9.json
index 052f11d13..3ba2a0639 100644
--- a/src/Specific/CurveParameters/solinas32_2e243m9.json
+++ b/src/Specific/CurveParameters/solinas32_2e243m9.json
@@ -1,5 +1,5 @@
 {
-    "base": "22",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e251m9.json b/src/Specific/CurveParameters/solinas32_2e251m9.json
index 6d5a2663c..8495ab52d 100644
--- a/src/Specific/CurveParameters/solinas32_2e251m9.json
+++ b/src/Specific/CurveParameters/solinas32_2e251m9.json
@@ -1,5 +1,5 @@
 {
-    "base": "25",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e255m19.json b/src/Specific/CurveParameters/solinas32_2e255m19.json
index 5d7ca222d..bc57f822e 100644
--- a/src/Specific/CurveParameters/solinas32_2e255m19.json
+++ b/src/Specific/CurveParameters/solinas32_2e255m19.json
@@ -1,5 +1,5 @@
 {
-    "base": "21",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e255m2e4m2e1m1.json b/src/Specific/CurveParameters/solinas32_2e255m2e4m2e1m1.json
index ee74600a1..ab5f27f28 100644
--- a/src/Specific/CurveParameters/solinas32_2e255m2e4m2e1m1.json
+++ b/src/Specific/CurveParameters/solinas32_2e255m2e4m2e1m1.json
@@ -1,5 +1,5 @@
 {
-    "base": "28",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e255m765.json b/src/Specific/CurveParameters/solinas32_2e255m765.json
index c5109ec09..d8b42eb4b 100644
--- a/src/Specific/CurveParameters/solinas32_2e255m765.json
+++ b/src/Specific/CurveParameters/solinas32_2e255m765.json
@@ -1,5 +1,5 @@
 {
-    "base": "17",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e256m189.json b/src/Specific/CurveParameters/solinas32_2e256m189.json
index e9ca9ba76..3ea20d978 100644
--- a/src/Specific/CurveParameters/solinas32_2e256m189.json
+++ b/src/Specific/CurveParameters/solinas32_2e256m189.json
@@ -1,5 +1,5 @@
 {
-    "base": "21",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e256m2e224p2e192p2e96m1.json b/src/Specific/CurveParameters/solinas32_2e256m2e224p2e192p2e96m1.json
index 41a960162..9aea598b0 100644
--- a/src/Specific/CurveParameters/solinas32_2e256m2e224p2e192p2e96m1.json
+++ b/src/Specific/CurveParameters/solinas32_2e256m2e224p2e192p2e96m1.json
@@ -1,5 +1,5 @@
 {
-    "base": "21",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e256m2e32m977.json b/src/Specific/CurveParameters/solinas32_2e256m2e32m977.json
index b26405544..250152a56 100644
--- a/src/Specific/CurveParameters/solinas32_2e256m2e32m977.json
+++ b/src/Specific/CurveParameters/solinas32_2e256m2e32m977.json
@@ -1,5 +1,5 @@
 {
-    "base": "17",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e266m3.json b/src/Specific/CurveParameters/solinas32_2e266m3.json
index 503996e40..3224b34b2 100644
--- a/src/Specific/CurveParameters/solinas32_2e266m3.json
+++ b/src/Specific/CurveParameters/solinas32_2e266m3.json
@@ -1,5 +1,5 @@
 {
-    "base": "22",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e285m9.json b/src/Specific/CurveParameters/solinas32_2e285m9.json
index bfbb5e769..c70d0eee6 100644
--- a/src/Specific/CurveParameters/solinas32_2e285m9.json
+++ b/src/Specific/CurveParameters/solinas32_2e285m9.json
@@ -1,5 +1,5 @@
 {
-    "base": "19",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e291m19.json b/src/Specific/CurveParameters/solinas32_2e291m19.json
index 2144c8d01..8f9700bba 100644
--- a/src/Specific/CurveParameters/solinas32_2e291m19.json
+++ b/src/Specific/CurveParameters/solinas32_2e291m19.json
@@ -1,5 +1,5 @@
 {
-    "base": "24",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e321m9.json b/src/Specific/CurveParameters/solinas32_2e321m9.json
index dbdc7fd49..0729c50ea 100644
--- a/src/Specific/CurveParameters/solinas32_2e321m9.json
+++ b/src/Specific/CurveParameters/solinas32_2e321m9.json
@@ -1,5 +1,5 @@
 {
-    "base": "20",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e322m2e161m1.json b/src/Specific/CurveParameters/solinas32_2e322m2e161m1.json
index 30eac9b8a..b87bb9493 100644
--- a/src/Specific/CurveParameters/solinas32_2e322m2e161m1.json
+++ b/src/Specific/CurveParameters/solinas32_2e322m2e161m1.json
@@ -1,5 +1,5 @@
 {
-    "base": "23",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e336m17.json b/src/Specific/CurveParameters/solinas32_2e336m17.json
index f57366b30..ad685ae64 100644
--- a/src/Specific/CurveParameters/solinas32_2e336m17.json
+++ b/src/Specific/CurveParameters/solinas32_2e336m17.json
@@ -1,5 +1,5 @@
 {
-    "base": "24",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e336m3.json b/src/Specific/CurveParameters/solinas32_2e336m3.json
index 60e72084f..62205d688 100644
--- a/src/Specific/CurveParameters/solinas32_2e336m3.json
+++ b/src/Specific/CurveParameters/solinas32_2e336m3.json
@@ -1,5 +1,5 @@
 {
-    "base": "24",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e338m15.json b/src/Specific/CurveParameters/solinas32_2e338m15.json
index 0985c08c9..e2fecf6c9 100644
--- a/src/Specific/CurveParameters/solinas32_2e338m15.json
+++ b/src/Specific/CurveParameters/solinas32_2e338m15.json
@@ -1,5 +1,5 @@
 {
-    "base": "24",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e369m25.json b/src/Specific/CurveParameters/solinas32_2e369m25.json
index f3545cbcb..953e24ffa 100644
--- a/src/Specific/CurveParameters/solinas32_2e369m25.json
+++ b/src/Specific/CurveParameters/solinas32_2e369m25.json
@@ -1,5 +1,5 @@
 {
-    "base": "23",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e379m19.json b/src/Specific/CurveParameters/solinas32_2e379m19.json
index e45ead675..fc3b7f1d2 100644
--- a/src/Specific/CurveParameters/solinas32_2e379m19.json
+++ b/src/Specific/CurveParameters/solinas32_2e379m19.json
@@ -1,5 +1,5 @@
 {
-    "base": "21",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e382m105.json b/src/Specific/CurveParameters/solinas32_2e382m105.json
index bbf0b468b..d740726c1 100644
--- a/src/Specific/CurveParameters/solinas32_2e382m105.json
+++ b/src/Specific/CurveParameters/solinas32_2e382m105.json
@@ -1,5 +1,5 @@
 {
-    "base": "19",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e384m2e128m2e96p2e32m1.json b/src/Specific/CurveParameters/solinas32_2e384m2e128m2e96p2e32m1.json
index dedba3d8a..a87421f31 100644
--- a/src/Specific/CurveParameters/solinas32_2e384m2e128m2e96p2e32m1.json
+++ b/src/Specific/CurveParameters/solinas32_2e384m2e128m2e96p2e32m1.json
@@ -1,5 +1,5 @@
 {
-    "base": "24",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e384m317.json b/src/Specific/CurveParameters/solinas32_2e384m317.json
index 61c0df7c1..037cda177 100644
--- a/src/Specific/CurveParameters/solinas32_2e384m317.json
+++ b/src/Specific/CurveParameters/solinas32_2e384m317.json
@@ -1,5 +1,5 @@
 {
-    "base": "21",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e401m31.json b/src/Specific/CurveParameters/solinas32_2e401m31.json
index c34f34be9..a48f4930d 100644
--- a/src/Specific/CurveParameters/solinas32_2e401m31.json
+++ b/src/Specific/CurveParameters/solinas32_2e401m31.json
@@ -1,5 +1,5 @@
 {
-    "base": "25",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e413m21.json b/src/Specific/CurveParameters/solinas32_2e413m21.json
index b95c267c8..5bf0ee3d5 100644
--- a/src/Specific/CurveParameters/solinas32_2e413m21.json
+++ b/src/Specific/CurveParameters/solinas32_2e413m21.json
@@ -1,5 +1,5 @@
 {
-    "base": "7",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e414m17.json b/src/Specific/CurveParameters/solinas32_2e414m17.json
index c52ba4e9b..cf785349b 100644
--- a/src/Specific/CurveParameters/solinas32_2e414m17.json
+++ b/src/Specific/CurveParameters/solinas32_2e414m17.json
@@ -1,5 +1,5 @@
 {
-    "base": "23",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e416m2e208m1.json b/src/Specific/CurveParameters/solinas32_2e416m2e208m1.json
index 06ace711e..671913c91 100644
--- a/src/Specific/CurveParameters/solinas32_2e416m2e208m1.json
+++ b/src/Specific/CurveParameters/solinas32_2e416m2e208m1.json
@@ -1,5 +1,5 @@
 {
-    "base": "26",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e444m17.json b/src/Specific/CurveParameters/solinas32_2e444m17.json
index 345c400e6..3f9316344 100644
--- a/src/Specific/CurveParameters/solinas32_2e444m17.json
+++ b/src/Specific/CurveParameters/solinas32_2e444m17.json
@@ -1,5 +1,5 @@
 {
-    "base": "22",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e448m2e224m1.json b/src/Specific/CurveParameters/solinas32_2e448m2e224m1.json
index 2298300c4..78b02624b 100644
--- a/src/Specific/CurveParameters/solinas32_2e448m2e224m1.json
+++ b/src/Specific/CurveParameters/solinas32_2e448m2e224m1.json
@@ -1,5 +1,5 @@
 {
-    "base": "28",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e450m2e225m1.json b/src/Specific/CurveParameters/solinas32_2e450m2e225m1.json
index 355c38e2d..7c469f135 100644
--- a/src/Specific/CurveParameters/solinas32_2e450m2e225m1.json
+++ b/src/Specific/CurveParameters/solinas32_2e450m2e225m1.json
@@ -1,5 +1,5 @@
 {
-    "base": "28",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e452m3.json b/src/Specific/CurveParameters/solinas32_2e452m3.json
index 5f84ba074..e9af2c752 100644
--- a/src/Specific/CurveParameters/solinas32_2e452m3.json
+++ b/src/Specific/CurveParameters/solinas32_2e452m3.json
@@ -1,5 +1,5 @@
 {
-    "base": "25",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e468m17.json b/src/Specific/CurveParameters/solinas32_2e468m17.json
index 441fd1ffc..9de955c55 100644
--- a/src/Specific/CurveParameters/solinas32_2e468m17.json
+++ b/src/Specific/CurveParameters/solinas32_2e468m17.json
@@ -1,5 +1,5 @@
 {
-    "base": "19",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e480m2e240m1.json b/src/Specific/CurveParameters/solinas32_2e480m2e240m1.json
index 2b81855e1..f49479323 100644
--- a/src/Specific/CurveParameters/solinas32_2e480m2e240m1.json
+++ b/src/Specific/CurveParameters/solinas32_2e480m2e240m1.json
@@ -1,5 +1,5 @@
 {
-    "base": "30",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e488m17.json b/src/Specific/CurveParameters/solinas32_2e488m17.json
index 1bde2bf0f..a26e151a6 100644
--- a/src/Specific/CurveParameters/solinas32_2e488m17.json
+++ b/src/Specific/CurveParameters/solinas32_2e488m17.json
@@ -1,5 +1,5 @@
 {
-    "base": "20",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e489m21.json b/src/Specific/CurveParameters/solinas32_2e489m21.json
index 65074fa19..9e86cec86 100644
--- a/src/Specific/CurveParameters/solinas32_2e489m21.json
+++ b/src/Specific/CurveParameters/solinas32_2e489m21.json
@@ -1,5 +1,5 @@
 {
-    "base": "18",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e495m31.json b/src/Specific/CurveParameters/solinas32_2e495m31.json
index d71b6a22e..fea6bd0c9 100644
--- a/src/Specific/CurveParameters/solinas32_2e495m31.json
+++ b/src/Specific/CurveParameters/solinas32_2e495m31.json
@@ -1,5 +1,5 @@
 {
-    "base": "22",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e511m187.json b/src/Specific/CurveParameters/solinas32_2e511m187.json
index daa05232b..3918d3342 100644
--- a/src/Specific/CurveParameters/solinas32_2e511m187.json
+++ b/src/Specific/CurveParameters/solinas32_2e511m187.json
@@ -1,5 +1,5 @@
 {
-    "base": "18",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e511m481.json b/src/Specific/CurveParameters/solinas32_2e511m481.json
index 0b5030d80..e32901869 100644
--- a/src/Specific/CurveParameters/solinas32_2e511m481.json
+++ b/src/Specific/CurveParameters/solinas32_2e511m481.json
@@ -1,5 +1,5 @@
 {
-    "base": "18",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e512m569.json b/src/Specific/CurveParameters/solinas32_2e512m569.json
index d013cfa16..5702d7f10 100644
--- a/src/Specific/CurveParameters/solinas32_2e512m569.json
+++ b/src/Specific/CurveParameters/solinas32_2e512m569.json
@@ -1,5 +1,5 @@
 {
-    "base": "17",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas32_2e521m1.json b/src/Specific/CurveParameters/solinas32_2e521m1.json
index c782bf73f..062e57b73 100644
--- a/src/Specific/CurveParameters/solinas32_2e521m1.json
+++ b/src/Specific/CurveParameters/solinas32_2e521m1.json
@@ -1,5 +1,5 @@
 {
-    "base": "26",
+    "base": "None",
     "bitwidth": 32,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e127m1.json b/src/Specific/CurveParameters/solinas64_2e127m1.json
index 2ecfafc2e..fd88d67f3 100644
--- a/src/Specific/CurveParameters/solinas64_2e127m1.json
+++ b/src/Specific/CurveParameters/solinas64_2e127m1.json
@@ -1,5 +1,5 @@
 {
-    "base": "42",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e129m25.json b/src/Specific/CurveParameters/solinas64_2e129m25.json
index 49dea6b34..2081353c6 100644
--- a/src/Specific/CurveParameters/solinas64_2e129m25.json
+++ b/src/Specific/CurveParameters/solinas64_2e129m25.json
@@ -1,5 +1,5 @@
 {
-    "base": "32",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e130m5.json b/src/Specific/CurveParameters/solinas64_2e130m5.json
index 5b09b7325..b02ee88d5 100644
--- a/src/Specific/CurveParameters/solinas64_2e130m5.json
+++ b/src/Specific/CurveParameters/solinas64_2e130m5.json
@@ -1,5 +1,5 @@
 {
-    "base": "32",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e137m13.json b/src/Specific/CurveParameters/solinas64_2e137m13.json
index 0e08566e7..25c16337b 100644
--- a/src/Specific/CurveParameters/solinas64_2e137m13.json
+++ b/src/Specific/CurveParameters/solinas64_2e137m13.json
@@ -1,5 +1,5 @@
 {
-    "base": "34",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e140m27.json b/src/Specific/CurveParameters/solinas64_2e140m27.json
index 7bf235b2a..37b8816ab 100644
--- a/src/Specific/CurveParameters/solinas64_2e140m27.json
+++ b/src/Specific/CurveParameters/solinas64_2e140m27.json
@@ -1,5 +1,5 @@
 {
-    "base": "35",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e141m9.json b/src/Specific/CurveParameters/solinas64_2e141m9.json
index 1a415f5e3..9f133829e 100644
--- a/src/Specific/CurveParameters/solinas64_2e141m9.json
+++ b/src/Specific/CurveParameters/solinas64_2e141m9.json
@@ -1,5 +1,5 @@
 {
-    "base": "35",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e150m3.json b/src/Specific/CurveParameters/solinas64_2e150m3.json
index dd7946efe..b7ae71799 100644
--- a/src/Specific/CurveParameters/solinas64_2e150m3.json
+++ b/src/Specific/CurveParameters/solinas64_2e150m3.json
@@ -1,5 +1,5 @@
 {
-    "base": "37",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e150m5.json b/src/Specific/CurveParameters/solinas64_2e150m5.json
index 048cc3963..f18ec9a92 100644
--- a/src/Specific/CurveParameters/solinas64_2e150m5.json
+++ b/src/Specific/CurveParameters/solinas64_2e150m5.json
@@ -1,5 +1,5 @@
 {
-    "base": "37",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e152m17.json b/src/Specific/CurveParameters/solinas64_2e152m17.json
index ffccea0f5..221d7103d 100644
--- a/src/Specific/CurveParameters/solinas64_2e152m17.json
+++ b/src/Specific/CurveParameters/solinas64_2e152m17.json
@@ -1,5 +1,5 @@
 {
-    "base": "38",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e158m15.json b/src/Specific/CurveParameters/solinas64_2e158m15.json
index d9216cdc3..25a0797d9 100644
--- a/src/Specific/CurveParameters/solinas64_2e158m15.json
+++ b/src/Specific/CurveParameters/solinas64_2e158m15.json
@@ -1,5 +1,5 @@
 {
-    "base": "39",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e165m25.json b/src/Specific/CurveParameters/solinas64_2e165m25.json
index 468afaa5b..558b6339f 100644
--- a/src/Specific/CurveParameters/solinas64_2e165m25.json
+++ b/src/Specific/CurveParameters/solinas64_2e165m25.json
@@ -1,5 +1,5 @@
 {
-    "base": "41",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e166m5.json b/src/Specific/CurveParameters/solinas64_2e166m5.json
index dce28d375..d92eff0dc 100644
--- a/src/Specific/CurveParameters/solinas64_2e166m5.json
+++ b/src/Specific/CurveParameters/solinas64_2e166m5.json
@@ -1,5 +1,5 @@
 {
-    "base": "41",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e171m19.json b/src/Specific/CurveParameters/solinas64_2e171m19.json
index 77f1dcfe4..a4c8d36e0 100644
--- a/src/Specific/CurveParameters/solinas64_2e171m19.json
+++ b/src/Specific/CurveParameters/solinas64_2e171m19.json
@@ -1,5 +1,5 @@
 {
-    "base": "34",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e174m17.json b/src/Specific/CurveParameters/solinas64_2e174m17.json
index 70b6c6a8e..bc459ef00 100644
--- a/src/Specific/CurveParameters/solinas64_2e174m17.json
+++ b/src/Specific/CurveParameters/solinas64_2e174m17.json
@@ -1,5 +1,5 @@
 {
-    "base": "43",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e174m3.json b/src/Specific/CurveParameters/solinas64_2e174m3.json
index 30fda7ed2..362242834 100644
--- a/src/Specific/CurveParameters/solinas64_2e174m3.json
+++ b/src/Specific/CurveParameters/solinas64_2e174m3.json
@@ -1,5 +1,5 @@
 {
-    "base": "43",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e189m25.json b/src/Specific/CurveParameters/solinas64_2e189m25.json
index 10bbad75b..8f0229699 100644
--- a/src/Specific/CurveParameters/solinas64_2e189m25.json
+++ b/src/Specific/CurveParameters/solinas64_2e189m25.json
@@ -1,5 +1,5 @@
 {
-    "base": "31",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e190m11.json b/src/Specific/CurveParameters/solinas64_2e190m11.json
index 6d8e6bb73..27e75bda5 100644
--- a/src/Specific/CurveParameters/solinas64_2e190m11.json
+++ b/src/Specific/CurveParameters/solinas64_2e190m11.json
@@ -1,5 +1,5 @@
 {
-    "base": "38",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e191m19.json b/src/Specific/CurveParameters/solinas64_2e191m19.json
index 28e842dfc..2b6660c48 100644
--- a/src/Specific/CurveParameters/solinas64_2e191m19.json
+++ b/src/Specific/CurveParameters/solinas64_2e191m19.json
@@ -1,5 +1,5 @@
 {
-    "base": "38",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e192m2e64m1.json b/src/Specific/CurveParameters/solinas64_2e192m2e64m1.json
index d918d53f8..58231b311 100644
--- a/src/Specific/CurveParameters/solinas64_2e192m2e64m1.json
+++ b/src/Specific/CurveParameters/solinas64_2e192m2e64m1.json
@@ -1,5 +1,5 @@
 {
-    "base": "48",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e194m33.json b/src/Specific/CurveParameters/solinas64_2e194m33.json
index 9015378af..cfdbb4a3b 100644
--- a/src/Specific/CurveParameters/solinas64_2e194m33.json
+++ b/src/Specific/CurveParameters/solinas64_2e194m33.json
@@ -1,5 +1,5 @@
 {
-    "base": "32",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e196m15.json b/src/Specific/CurveParameters/solinas64_2e196m15.json
index e63e9d208..bc09e483d 100644
--- a/src/Specific/CurveParameters/solinas64_2e196m15.json
+++ b/src/Specific/CurveParameters/solinas64_2e196m15.json
@@ -1,5 +1,5 @@
 {
-    "base": "39",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e198m17.json b/src/Specific/CurveParameters/solinas64_2e198m17.json
index 558db5007..53c46db44 100644
--- a/src/Specific/CurveParameters/solinas64_2e198m17.json
+++ b/src/Specific/CurveParameters/solinas64_2e198m17.json
@@ -1,5 +1,5 @@
 {
-    "base": "33",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e206m5.json b/src/Specific/CurveParameters/solinas64_2e206m5.json
index fb1fa5a23..fb462fdad 100644
--- a/src/Specific/CurveParameters/solinas64_2e206m5.json
+++ b/src/Specific/CurveParameters/solinas64_2e206m5.json
@@ -1,5 +1,5 @@
 {
-    "base": "41",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e212m29.json b/src/Specific/CurveParameters/solinas64_2e212m29.json
index 8c784fd47..a057a0796 100644
--- a/src/Specific/CurveParameters/solinas64_2e212m29.json
+++ b/src/Specific/CurveParameters/solinas64_2e212m29.json
@@ -1,5 +1,5 @@
 {
-    "base": "35",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e213m3.json b/src/Specific/CurveParameters/solinas64_2e213m3.json
index 48212d6b8..65b7fe00b 100644
--- a/src/Specific/CurveParameters/solinas64_2e213m3.json
+++ b/src/Specific/CurveParameters/solinas64_2e213m3.json
@@ -1,5 +1,5 @@
 {
-    "base": "35",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e216m2e108m1.json b/src/Specific/CurveParameters/solinas64_2e216m2e108m1.json
index 666258904..83d6767fd 100644
--- a/src/Specific/CurveParameters/solinas64_2e216m2e108m1.json
+++ b/src/Specific/CurveParameters/solinas64_2e216m2e108m1.json
@@ -1,5 +1,5 @@
 {
-    "base": "43",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e221m3.json b/src/Specific/CurveParameters/solinas64_2e221m3.json
index b4ff57a84..d2a615fe7 100644
--- a/src/Specific/CurveParameters/solinas64_2e221m3.json
+++ b/src/Specific/CurveParameters/solinas64_2e221m3.json
@@ -1,5 +1,5 @@
 {
-    "base": "44",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e222m117.json b/src/Specific/CurveParameters/solinas64_2e222m117.json
index 8c88f4f4f..a9ca820c6 100644
--- a/src/Specific/CurveParameters/solinas64_2e222m117.json
+++ b/src/Specific/CurveParameters/solinas64_2e222m117.json
@@ -1,5 +1,5 @@
 {
-    "base": "37",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e224m2e96p1.json b/src/Specific/CurveParameters/solinas64_2e224m2e96p1.json
index a9b5a60b6..dc436c4f7 100644
--- a/src/Specific/CurveParameters/solinas64_2e224m2e96p1.json
+++ b/src/Specific/CurveParameters/solinas64_2e224m2e96p1.json
@@ -1,5 +1,5 @@
 {
-    "base": "37",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e226m5.json b/src/Specific/CurveParameters/solinas64_2e226m5.json
index d080d8134..f982689e5 100644
--- a/src/Specific/CurveParameters/solinas64_2e226m5.json
+++ b/src/Specific/CurveParameters/solinas64_2e226m5.json
@@ -1,5 +1,5 @@
 {
-    "base": "45",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e230m27.json b/src/Specific/CurveParameters/solinas64_2e230m27.json
index 21bafecdb..15abdf262 100644
--- a/src/Specific/CurveParameters/solinas64_2e230m27.json
+++ b/src/Specific/CurveParameters/solinas64_2e230m27.json
@@ -1,5 +1,5 @@
 {
-    "base": "46",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e235m15.json b/src/Specific/CurveParameters/solinas64_2e235m15.json
index 4954b9eb8..4fbed2f13 100644
--- a/src/Specific/CurveParameters/solinas64_2e235m15.json
+++ b/src/Specific/CurveParameters/solinas64_2e235m15.json
@@ -1,5 +1,5 @@
 {
-    "base": "47",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e243m9.json b/src/Specific/CurveParameters/solinas64_2e243m9.json
index 6540d3806..dd98cda3d 100644
--- a/src/Specific/CurveParameters/solinas64_2e243m9.json
+++ b/src/Specific/CurveParameters/solinas64_2e243m9.json
@@ -1,5 +1,5 @@
 {
-    "base": "40",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e251m9.json b/src/Specific/CurveParameters/solinas64_2e251m9.json
index 55c68485c..168b677e5 100644
--- a/src/Specific/CurveParameters/solinas64_2e251m9.json
+++ b/src/Specific/CurveParameters/solinas64_2e251m9.json
@@ -1,5 +1,5 @@
 {
-    "base": "25",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e255m19.json b/src/Specific/CurveParameters/solinas64_2e255m19.json
index 8750051cc..0252cd5df 100644
--- a/src/Specific/CurveParameters/solinas64_2e255m19.json
+++ b/src/Specific/CurveParameters/solinas64_2e255m19.json
@@ -1,5 +1,5 @@
 {
-    "base": "42",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e255m2e4m2e1m1.json b/src/Specific/CurveParameters/solinas64_2e255m2e4m2e1m1.json
index 5e075e4e8..e1afe9d43 100644
--- a/src/Specific/CurveParameters/solinas64_2e255m2e4m2e1m1.json
+++ b/src/Specific/CurveParameters/solinas64_2e255m2e4m2e1m1.json
@@ -1,5 +1,5 @@
 {
-    "base": "51",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e255m765.json b/src/Specific/CurveParameters/solinas64_2e255m765.json
index 32704c593..57526e2d7 100644
--- a/src/Specific/CurveParameters/solinas64_2e255m765.json
+++ b/src/Specific/CurveParameters/solinas64_2e255m765.json
@@ -1,5 +1,5 @@
 {
-    "base": "42",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e256m189.json b/src/Specific/CurveParameters/solinas64_2e256m189.json
index 05756494d..17b1324f7 100644
--- a/src/Specific/CurveParameters/solinas64_2e256m189.json
+++ b/src/Specific/CurveParameters/solinas64_2e256m189.json
@@ -1,5 +1,5 @@
 {
-    "base": "32",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e256m2e224p2e192p2e96m1.json b/src/Specific/CurveParameters/solinas64_2e256m2e224p2e192p2e96m1.json
index fb1687a71..fdd2e2cb2 100644
--- a/src/Specific/CurveParameters/solinas64_2e256m2e224p2e192p2e96m1.json
+++ b/src/Specific/CurveParameters/solinas64_2e256m2e224p2e192p2e96m1.json
@@ -1,5 +1,5 @@
 {
-    "base": "51",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e256m2e32m977.json b/src/Specific/CurveParameters/solinas64_2e256m2e32m977.json
index 97244ff6c..a476e996c 100644
--- a/src/Specific/CurveParameters/solinas64_2e256m2e32m977.json
+++ b/src/Specific/CurveParameters/solinas64_2e256m2e32m977.json
@@ -1,5 +1,5 @@
 {
-    "base": "32",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e266m3.json b/src/Specific/CurveParameters/solinas64_2e266m3.json
index cd14387e5..e255b7e2b 100644
--- a/src/Specific/CurveParameters/solinas64_2e266m3.json
+++ b/src/Specific/CurveParameters/solinas64_2e266m3.json
@@ -1,5 +1,5 @@
 {
-    "base": "44",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e285m9.json b/src/Specific/CurveParameters/solinas64_2e285m9.json
index ed3e0b5ec..49d3a163d 100644
--- a/src/Specific/CurveParameters/solinas64_2e285m9.json
+++ b/src/Specific/CurveParameters/solinas64_2e285m9.json
@@ -1,5 +1,5 @@
 {
-    "base": "47",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e291m19.json b/src/Specific/CurveParameters/solinas64_2e291m19.json
index e7f6223b7..c13afdd23 100644
--- a/src/Specific/CurveParameters/solinas64_2e291m19.json
+++ b/src/Specific/CurveParameters/solinas64_2e291m19.json
@@ -1,5 +1,5 @@
 {
-    "base": "48",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e321m9.json b/src/Specific/CurveParameters/solinas64_2e321m9.json
index 134d09b35..34a162114 100644
--- a/src/Specific/CurveParameters/solinas64_2e321m9.json
+++ b/src/Specific/CurveParameters/solinas64_2e321m9.json
@@ -1,5 +1,5 @@
 {
-    "base": "40",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e322m2e161m1.json b/src/Specific/CurveParameters/solinas64_2e322m2e161m1.json
index e1739152b..f64f115a6 100644
--- a/src/Specific/CurveParameters/solinas64_2e322m2e161m1.json
+++ b/src/Specific/CurveParameters/solinas64_2e322m2e161m1.json
@@ -1,5 +1,5 @@
 {
-    "base": "46",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e336m17.json b/src/Specific/CurveParameters/solinas64_2e336m17.json
index e13f1732d..233dd1513 100644
--- a/src/Specific/CurveParameters/solinas64_2e336m17.json
+++ b/src/Specific/CurveParameters/solinas64_2e336m17.json
@@ -1,5 +1,5 @@
 {
-    "base": "48",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e336m3.json b/src/Specific/CurveParameters/solinas64_2e336m3.json
index 6da2fe4ed..d5d527a59 100644
--- a/src/Specific/CurveParameters/solinas64_2e336m3.json
+++ b/src/Specific/CurveParameters/solinas64_2e336m3.json
@@ -1,5 +1,5 @@
 {
-    "base": "48",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e338m15.json b/src/Specific/CurveParameters/solinas64_2e338m15.json
index ca0d5242e..eca568f97 100644
--- a/src/Specific/CurveParameters/solinas64_2e338m15.json
+++ b/src/Specific/CurveParameters/solinas64_2e338m15.json
@@ -1,5 +1,5 @@
 {
-    "base": "42",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e369m25.json b/src/Specific/CurveParameters/solinas64_2e369m25.json
index cc1ab993d..c431be723 100644
--- a/src/Specific/CurveParameters/solinas64_2e369m25.json
+++ b/src/Specific/CurveParameters/solinas64_2e369m25.json
@@ -1,5 +1,5 @@
 {
-    "base": "46",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e379m19.json b/src/Specific/CurveParameters/solinas64_2e379m19.json
index e3e7666ad..b907fcd8f 100644
--- a/src/Specific/CurveParameters/solinas64_2e379m19.json
+++ b/src/Specific/CurveParameters/solinas64_2e379m19.json
@@ -1,5 +1,5 @@
 {
-    "base": "42",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e382m105.json b/src/Specific/CurveParameters/solinas64_2e382m105.json
index 5d8ed2784..529c90f00 100644
--- a/src/Specific/CurveParameters/solinas64_2e382m105.json
+++ b/src/Specific/CurveParameters/solinas64_2e382m105.json
@@ -1,5 +1,5 @@
 {
-    "base": "38",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e384m2e128m2e96p2e32m1.json b/src/Specific/CurveParameters/solinas64_2e384m2e128m2e96p2e32m1.json
index 14abeaece..7cd2e12f7 100644
--- a/src/Specific/CurveParameters/solinas64_2e384m2e128m2e96p2e32m1.json
+++ b/src/Specific/CurveParameters/solinas64_2e384m2e128m2e96p2e32m1.json
@@ -1,5 +1,5 @@
 {
-    "base": "48",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e384m317.json b/src/Specific/CurveParameters/solinas64_2e384m317.json
index 1145b333f..b6909d717 100644
--- a/src/Specific/CurveParameters/solinas64_2e384m317.json
+++ b/src/Specific/CurveParameters/solinas64_2e384m317.json
@@ -1,5 +1,5 @@
 {
-    "base": "48",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e401m31.json b/src/Specific/CurveParameters/solinas64_2e401m31.json
index a0af79749..74f1f7c77 100644
--- a/src/Specific/CurveParameters/solinas64_2e401m31.json
+++ b/src/Specific/CurveParameters/solinas64_2e401m31.json
@@ -1,5 +1,5 @@
 {
-    "base": "50",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e413m21.json b/src/Specific/CurveParameters/solinas64_2e413m21.json
index 2b4510780..e5b3e9e19 100644
--- a/src/Specific/CurveParameters/solinas64_2e413m21.json
+++ b/src/Specific/CurveParameters/solinas64_2e413m21.json
@@ -1,5 +1,5 @@
 {
-    "base": "29",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e414m17.json b/src/Specific/CurveParameters/solinas64_2e414m17.json
index 14c9a4033..e0c647ba7 100644
--- a/src/Specific/CurveParameters/solinas64_2e414m17.json
+++ b/src/Specific/CurveParameters/solinas64_2e414m17.json
@@ -1,5 +1,5 @@
 {
-    "base": "46",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e416m2e208m1.json b/src/Specific/CurveParameters/solinas64_2e416m2e208m1.json
index 3fd498519..91c67b964 100644
--- a/src/Specific/CurveParameters/solinas64_2e416m2e208m1.json
+++ b/src/Specific/CurveParameters/solinas64_2e416m2e208m1.json
@@ -1,5 +1,5 @@
 {
-    "base": "52",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e444m17.json b/src/Specific/CurveParameters/solinas64_2e444m17.json
index 2a38f14a6..0ef32f374 100644
--- a/src/Specific/CurveParameters/solinas64_2e444m17.json
+++ b/src/Specific/CurveParameters/solinas64_2e444m17.json
@@ -1,5 +1,5 @@
 {
-    "base": "49",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e448m2e224m1.json b/src/Specific/CurveParameters/solinas64_2e448m2e224m1.json
index 075f11b5f..3d711d69b 100644
--- a/src/Specific/CurveParameters/solinas64_2e448m2e224m1.json
+++ b/src/Specific/CurveParameters/solinas64_2e448m2e224m1.json
@@ -1,5 +1,5 @@
 {
-    "base": "56",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e450m2e225m1.json b/src/Specific/CurveParameters/solinas64_2e450m2e225m1.json
index 61e93c73a..f30f9bf2d 100644
--- a/src/Specific/CurveParameters/solinas64_2e450m2e225m1.json
+++ b/src/Specific/CurveParameters/solinas64_2e450m2e225m1.json
@@ -1,5 +1,5 @@
 {
-    "base": "50",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e452m3.json b/src/Specific/CurveParameters/solinas64_2e452m3.json
index 352479add..42890061e 100644
--- a/src/Specific/CurveParameters/solinas64_2e452m3.json
+++ b/src/Specific/CurveParameters/solinas64_2e452m3.json
@@ -1,5 +1,5 @@
 {
-    "base": "45",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e468m17.json b/src/Specific/CurveParameters/solinas64_2e468m17.json
index cccf6402d..822b59e74 100644
--- a/src/Specific/CurveParameters/solinas64_2e468m17.json
+++ b/src/Specific/CurveParameters/solinas64_2e468m17.json
@@ -1,5 +1,5 @@
 {
-    "base": "52",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e480m2e240m1.json b/src/Specific/CurveParameters/solinas64_2e480m2e240m1.json
index 3a21e340d..40ead4c52 100644
--- a/src/Specific/CurveParameters/solinas64_2e480m2e240m1.json
+++ b/src/Specific/CurveParameters/solinas64_2e480m2e240m1.json
@@ -1,5 +1,5 @@
 {
-    "base": "53",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e488m17.json b/src/Specific/CurveParameters/solinas64_2e488m17.json
index e04d4737a..8c1152683 100644
--- a/src/Specific/CurveParameters/solinas64_2e488m17.json
+++ b/src/Specific/CurveParameters/solinas64_2e488m17.json
@@ -1,5 +1,5 @@
 {
-    "base": "30",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e489m21.json b/src/Specific/CurveParameters/solinas64_2e489m21.json
index acc2316a7..e0452f865 100644
--- a/src/Specific/CurveParameters/solinas64_2e489m21.json
+++ b/src/Specific/CurveParameters/solinas64_2e489m21.json
@@ -1,5 +1,5 @@
 {
-    "base": "27",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e495m31.json b/src/Specific/CurveParameters/solinas64_2e495m31.json
index 20099b2a1..0f8bcde81 100644
--- a/src/Specific/CurveParameters/solinas64_2e495m31.json
+++ b/src/Specific/CurveParameters/solinas64_2e495m31.json
@@ -1,5 +1,5 @@
 {
-    "base": "49",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e511m187.json b/src/Specific/CurveParameters/solinas64_2e511m187.json
index acf9cdd04..5d283c670 100644
--- a/src/Specific/CurveParameters/solinas64_2e511m187.json
+++ b/src/Specific/CurveParameters/solinas64_2e511m187.json
@@ -1,5 +1,5 @@
 {
-    "base": "36",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e511m481.json b/src/Specific/CurveParameters/solinas64_2e511m481.json
index 5e37d076e..af491b9ce 100644
--- a/src/Specific/CurveParameters/solinas64_2e511m481.json
+++ b/src/Specific/CurveParameters/solinas64_2e511m481.json
@@ -1,5 +1,5 @@
 {
-    "base": "36",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e512m569.json b/src/Specific/CurveParameters/solinas64_2e512m569.json
index d8055f1a2..a2156bfda 100644
--- a/src/Specific/CurveParameters/solinas64_2e512m569.json
+++ b/src/Specific/CurveParameters/solinas64_2e512m569.json
@@ -1,5 +1,5 @@
 {
-    "base": "32",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",
diff --git a/src/Specific/CurveParameters/solinas64_2e521m1.json b/src/Specific/CurveParameters/solinas64_2e521m1.json
index 0d0853bfb..7cfbc2d76 100644
--- a/src/Specific/CurveParameters/solinas64_2e521m1.json
+++ b/src/Specific/CurveParameters/solinas64_2e521m1.json
@@ -1,5 +1,5 @@
 {
-    "base": "52",
+    "base": "None",
     "bitwidth": 64,
     "carry_chains": "default",
     "coef_div_modulus": "2",