Add ANSI X9.63, NUMS curves and relations between many curves.

7 files changed, 1240 insertions, 54 deletions

diff --git a/nist/curves.json b/nist/curves.json
index 09ea999..e50efcd 100644
--- a/nist/curves.json
+++ b/nist/curves.json
@@ -91,7 +91,8 @@
       "cofactor": "0x1",
       "aliases": [
         "secg/secp224r1",
-        "wtls/wap-wsg-idm-ecid-wtls12"
+        "wtls/wap-wsg-idm-ecid-wtls12",
+        "x963/ansip224r1"
       ],
       "characteristics": {
         "discriminant": "8133954887115844930654026312464158747844254983800706208418026371607",
@@ -199,7 +200,8 @@
       "order": "0xffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52973",
       "cofactor": "0x1",
       "aliases": [
-        "secg/secp384r1"
+        "secg/secp384r1",
+        "x963/ansip384r1"
       ],
       "characteristics": {
         "discriminant": "38275261264050278989862136034342276004573039492779555073863190029182890449044186682105480613137214197175883602718257",
@@ -228,7 +230,8 @@
       "order": "0x01fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409",
       "cofactor": "0x1",
       "aliases": [
-        "secg/secp521r1"
+        "secg/secp521r1",
+        "x963/ansip521r1"
       ],
       "characteristics": {
         "discriminant": "2687853087729004331535582886185403114835754464152651523509230634031161977750238608042000458607319784141115468556368066113806987449553072575343372028907331922",
@@ -300,7 +303,8 @@
       "order": "0x040000000000000000000292fe77e70c12a4234c33",
       "cofactor": "0x2",
       "aliases": [
-        "secg/sect163r2"
+        "secg/sect163r2",
+        "x963/ansit163r2"
       ],
       "characteristics": {
         "discriminant": "2982236234343851336267446656627785008148015875581",
@@ -337,7 +341,8 @@
       "cofactor": "0x4",
       "aliases": [
         "secg/sect233k1",
-        "wtls/wap-wsg-idm-ecid-wtls10"
+        "wtls/wap-wsg-idm-ecid-wtls10",
+        "x963/ansit233k1"
       ],
       "characteristics": {
         "discriminant": "1",
@@ -373,7 +378,8 @@
       "cofactor": "0x2",
       "aliases": [
         "secg/sect233r1",
-        "wtls/wap-wsg-idm-ecid-wtls11"
+        "wtls/wap-wsg-idm-ecid-wtls11",
+        "x963/ansit233r1"
       ],
       "characteristics": {
         "discriminant": "2760497980029204187078845502377898520307707256259003964398570147123373",
@@ -411,7 +417,8 @@
       "order": "0x1ffffffffffffffffffffffffffffffffffe9ae2ed07577265dff7f94451e061e163c61",
       "cofactor": "0x4",
       "aliases": [
-        "secg/sect283k1"
+        "secg/sect283k1",
+        "x963/ansit283k1"
       ],
       "characteristics": {
         "discriminant": "1",
@@ -449,7 +456,8 @@
       "order": "0x3ffffffffffffffffffffffffffffffffffef90399660fc938a90165b042a7cefadb307",
       "cofactor": "0x2",
       "aliases": [
-        "secg/sect283r1"
+        "secg/sect283r1",
+        "x963/ansit283r1"
       ],
       "characteristics": {
         "discriminant": "4821813576056072374006997780399081180312270030300601270120450341205914644378616963829",
@@ -485,7 +493,8 @@
       "order": "0x7ffffffffffffffffffffffffffffffffffffffffffffffffffe5f83b2d4ea20400ec4557d5ed3e3e7ca5b4b5c83b8e01e5fcf",
       "cofactor": "0x4",
       "aliases": [
-        "secg/sect409k1"
+        "secg/sect409k1",
+        "x963/ansit409k1"
       ],
       "characteristics": {
         "discriminant": "1",
@@ -519,7 +528,8 @@
       "order": "0x10000000000000000000000000000000000000000000000000001e2aad6a612f33307be5fa47c3c9e052f838164cd37d9a21173",
       "cofactor": "0x2",
       "aliases": [
-        "secg/sect409r1"
+        "secg/sect409r1",
+        "x963/ansit409r1"
       ],
       "characteristics": {
         "discriminant": "86886261634090707672817770640384425264505829479043641824438658614111870471004564988634410809058207142318571212147935892575",
@@ -555,7 +565,8 @@
       "order": "0x20000000000000000000000000000000000000000000000000000000000000000000000131850e1f19a63e4b391a8db917f4138b630d84be5d639381e91deb45cfe778f637c1001",
       "cofactor": "0x4",
       "aliases": [
-        "secg/sect571k1"
+        "secg/sect571k1",
+        "x963/ansit571k1"
       ],
       "characteristics": {
         "discriminant": "1",
@@ -591,7 +602,8 @@
       "order": "0x3ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe661ce18ff55987308059b186823851ec7dd9ca1161de93d5174d66e8382e9bb2fe84e47",
       "cofactor": "0x2",
       "aliases": [
-        "secg/sect571r1"
+        "secg/sect571r1",
+        "x963/ansit571r1"
       ],
       "characteristics": {
         "discriminant": "2853329245261343535560086964181551296889298776106832980891560850944180011701123307905326019642652653533003482753023669016842884108172514870944140611113679225347419720217210",
diff --git a/nums/curves.json b/nums/curves.json
new file mode 100644
index 0000000..2a593b2
--- /dev/null
+++ b/nums/curves.json
@@ -0,0 +1,138 @@
+{
+	"name": "NUMS",
+	"desc": "Microsoft Nothing Up My Sleeve (NUMS) curves from: <https://eprint.iacr.org/2014/130> and <https://tools.ietf.org/html/draft-black-numscurves-02>",
+	"curves": [
+		{
+			"form": "Weierstrass",
+			"name": "numsp256d1",
+			"category": "nums",
+			"desc": "",
+			"oid": "",
+			"field": {
+				"type": "Prime",
+				"p": "0xffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff43",
+				"bits": 256
+			},
+			"params": {
+				"a": "0xffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff40",
+				"b": "0x25581"
+			},
+			"order": "0xffffffffffffffffffffffffffffffffe43c8275ea265c6020ab20294751a825",
+			"cofactor": "0x01",
+			"generator": {
+				"x": "0x01",
+				"y": "0x696f1853c1e466d7fc82c96cceeedd6bd02c2f9375894ec10bf46306c2b56c77"
+			}
+		},
+		{
+			"form": "TwistedEdwards",
+			"name": "numsp256t1",
+			"category": "nums",
+			"desc": "",
+			"oid": "",
+			"field": {
+				"type": "Prime",
+				"p": "0xffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff43",
+				"bits": 256
+			},
+			"params": {
+				"a": "0xffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff42",
+				"d": "0x3bee"
+			},
+			"order": "0x3fffffffffffffffffffffffffffffffbe6aa55ad0a6bc64e5b84e6f1122b4ad",
+			"cofactor": "0x04",
+			"generator": {
+				"x": "0x0d",
+				"y": "0x7d0ab41e2a1276dba3d330b39fa046bfbe2a6d63824d303f707f6fb5331cadba"
+			}
+		},
+		{
+			"form": "Weierstrass",
+			"name": "numsp384d1",
+			"category": "nums",
+			"desc": "",
+			"oid": "",
+			"field": {
+				"type": "Prime",
+				"p": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffec3",
+				"bits": 384
+			},
+			"params": {
+				"a": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffec0",
+				"b": "0xffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff77bb"
+			},
+			"order": "0xffffffffffffffffffffffffffffffffffffffffffffffffd61eaf1eeb5d6881beda9d3d4c37e27a604d81f67b0e61b9",
+			"cofactor": "0x01",
+			"generator": {
+				"x": "0x02",
+				"y": "0x3c9f82cb4b87b4dc71e763e0663e5dbd8034ed422f04f82673330dc58d15ffa2b4a3d0bad5d30f865bcbbf503ea66f43"
+			}
+		},
+		{
+			"form": "TwistedEdwards",
+			"name": "numsp384t1",
+			"category": "nums",
+			"desc": "",
+			"oid": "",
+			"field": {
+				"type": "Prime",
+				"p": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffec3",
+				"bits": 384
+			},
+			"params": {
+				"a": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffec2",
+				"d": "0x5158a"
+			},
+			"order": "0x3fffffffffffffffffffffffffffffffffffffffffffffffecd7d11ed5a259a25a13a0458e39f4e451d6d71f70426e25",
+			"cofactor": "0x04",
+			"generator": {
+				"x": "0x08",
+				"y": "0x749cdaba136ce9b65bd4471794aa619daa5c7b4c930bff8ebd798a8ae753c6d72f003860febabad534a4acf5fa7f5bee"
+			}
+		},
+		{
+			"form": "Weierstrass",
+			"name": "numsp512d1",
+			"category": "nums",
+			"desc": "",
+			"oid": "",
+			"field": {
+				"type": "Prime",
+				"p": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffdc7",
+				"bits": 512
+			},
+			"params": {
+				"a": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffdc4",
+				"b": "0x1d99b"
+			},
+			"order": "0xffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff5b3ca4fb94e7831b4fc258ed97d0bdc63b568b36607cd243ce153f390433555d",
+			"cofactor": "0x01",
+			"generator": {
+				"x": "0x02",
+				"y": "0x1c282eb23327f9711952c250ea61ad53fcc13031cf6dd336e0b9328433afbdd8cc5a1c1f0c716fdc724dde537c2b0adb00bb3d08dc83755b205cc30d7f83cf28"
+			}
+		},
+		{
+			"form": "TwistedEdwards",
+			"name": "numsp512t1",
+			"category": "nums",
+			"desc": "",
+			"oid": "",
+			"field": {
+				"type": "Prime",
+				"p": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffdc7",
+				"bits": 512
+			},
+			"params": {
+				"a": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffdc6",
+				"d": "0x9baa8"
+			},
+			"order": "0x3fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa7e50809efdabbb9a624784f449545f0dcea5ff0cb800f894e78d1cb0b5f0189",
+			"cofactor": "0x04",
+			"generator": {
+				"x": "0x20",
+				"y": "0x7d67e841dc4c467b605091d80869212f9ceb124bf726973f9ff048779e1d614e62ae2ece5057b5dad96b7a897c1d72799261134638750f4f0cb91027543b1c5e"
+			}
+		}
+	]
+}
\ No newline at end of file
diff --git a/other/curves.json b/other/curves.json
index cfb34b9..db3d350 100644
--- a/other/curves.json
+++ b/other/curves.json
@@ -241,20 +241,28 @@
       "order": "0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFD5FB21F21E95EEE17C5E69281B102D2773E27E13FD3C9719",
       "cofactor": "0x04"
     },
-    {"category": "other",
-	   "cofactor": "0x8",
-	   "desc": "",
-	   "field": {"bits": 283,
-	             "p": "0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff45",
-	             "type": "Prime"},
-	   "form": "Montgomery",
-	   "generator": {"x": "0x5",
-	                 "y": "0x1eebe07dc1871896732b12d5504a32370471965c7a11f2c89865f855ab3cbd7c224e3620c31af3370788457dd5ce46df"},
-	   "name": "Curve383187",
-	   "oid": "",
-	   "order": "0x1000000000000000000000000000000000000000000000000e85a85287a1488acd41ae84b2b7030446f72088b00a0e21",
-	   "params": {"a": "0x38251", "b": "0x01"}
-	   },
+    {
+      "category": "other",
+      "cofactor": "0x8",
+      "desc": "",
+      "field": {
+        "bits": 283,
+        "p": "0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff45",
+        "type": "Prime"
+      },
+      "form": "Montgomery",
+      "generator": {
+        "x": "0x5",
+        "y": "0x1eebe07dc1871896732b12d5504a32370471965c7a11f2c89865f855ab3cbd7c224e3620c31af3370788457dd5ce46df"
+      },
+      "name": "Curve383187",
+      "oid": "",
+      "order": "0x1000000000000000000000000000000000000000000000000e85a85287a1488acd41ae84b2b7030446f72088b00a0e21",
+      "params": {
+        "a": "0x38251",
+        "b": "0x01"
+      }
+    },
     {
       "name": "Ed25519",
       "category": "other",
@@ -407,7 +415,9 @@
           }
         ]
       },
-      "aliases": ["bn/bn254"]
+      "aliases": [
+        "bn/bn254"
+      ]
     },
     {
       "name": "Fp224BN",
@@ -574,6 +584,166 @@
         "j_invariant": "0",
         "trace_of_frobenius": "115792089237316195423570985008687840101103879741288409693302319863988063823175"
       }
+    },
+    {
+      "form": "Weierstrass",
+      "name": "ssc-160",
+      "category": "other",
+      "desc": "A prime order curve from MIRACL: https://github.com/miracl/MIRACL/blob/master/docs/miracl-explained/miracl-standard-curves.md. Has no generator specified.",
+      "oid": "",
+      "field": {
+        "type": "Prime",
+        "p": "0xc90fdaa22168c234c4c6628b80dc1cd129024e1f",
+        "bits": 160
+      },
+      "params": {
+        "a": "0xc90fdaa22168c234c4c6628b80dc1cd129024e1c",
+        "b": "0xadf85458a2bb4a9aafdc5620273d3cf1d8b9c841"
+      },
+      "generator": {
+        "x": "",
+        "y": ""
+      }
+    },
+    {
+      "form": "Weierstrass",
+      "name": "ssc-192",
+      "category": "other",
+      "desc": "A prime order curve from MIRACL: https://github.com/miracl/MIRACL/blob/master/docs/miracl-explained/miracl-standard-curves.md. Has no generator specified.",
+      "oid": "",
+      "field": {
+        "type": "Prime",
+        "p": "0xc302f41d932a36cda7a3463093d18db78fce476de1a86297",
+        "bits": 192
+      },
+      "params": {
+        "a": "0xc302f41d932a36cda7a3463093d18db78fce476de1a86294",
+        "b": "0xadf85458a2bb4a9aafdc5620273d3cf1d8b9c583ce2d36a6"
+      },
+      "generator": {
+        "x": "",
+        "y": ""
+      }
+    },
+    {
+      "form": "Weierstrass",
+      "name": "ssc-224",
+      "category": "other",
+      "desc": "A prime order curve from MIRACL: https://github.com/miracl/MIRACL/blob/master/docs/miracl-explained/miracl-standard-curves.md. Has no generator specified.",
+      "oid": "",
+      "field": {
+        "type": "Prime",
+        "p": "0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbedf",
+        "bits": 224
+      },
+      "params": {
+        "a": "0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbedc",
+        "b": "0xadf85458a2bb4a9aafdc5620273d3cf1d8b9c583ce2d3695a9e13a03"
+      },
+      "generator": {
+        "x": "",
+        "y": ""
+      }
+    },
+    {
+      "form": "Weierstrass",
+      "name": "ssc-256",
+      "category": "other",
+      "desc": "A prime order curve from MIRACL: https://github.com/miracl/MIRACL/blob/master/docs/miracl-explained/miracl-standard-curves.md. Has no generator specified.",
+      "oid": "",
+      "field": {
+        "type": "Prime",
+        "p": "0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbea63b139c0b",
+        "bits": 256
+      },
+      "params": {
+        "a": "0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbea63b139c08",
+        "b": "0xadf85458a2bb4a9aafdc5620273d3cf1d8b9c583ce2d3695a9e13641146434e1"
+      },
+      "generator": {
+        "x": "",
+        "y": ""
+      }
+    },
+    {
+      "form": "Weierstrass",
+      "name": "ssc-288",
+      "category": "other",
+      "desc": "A prime order curve from MIRACL: https://github.com/miracl/MIRACL/blob/master/docs/miracl-explained/miracl-standard-curves.md. Has no generator specified.",
+      "oid": "",
+      "field": {
+        "type": "Prime",
+        "p": "0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbea63b139b22514a098b",
+        "bits": 288
+      },
+      "params": {
+        "a": "0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbea63b139b22514a0988",
+        "b": "0xadf85458a2bb4a9aafdc5620273d3cf1d8b9c583ce2d3695a9e13641146433fbcc939f36"
+      },
+      "generator": {
+        "x": "",
+        "y": ""
+      }
+    },
+    {
+      "form": "Weierstrass",
+      "name": "ssc-320",
+      "category": "other",
+      "desc": "A prime order curve from MIRACL: https://github.com/miracl/MIRACL/blob/master/docs/miracl-explained/miracl-standard-curves.md. Has no generator specified.",
+      "oid": "",
+      "field": {
+        "type": "Prime",
+        "p": "0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbea63b139b22514a08798e3408b3",
+        "bits": 320
+      },
+      "params": {
+        "a": "0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbea63b139b22514a08798e3408b0",
+        "b": "0xadf85458a2bb4a9aafdc5620273d3cf1d8b9c583ce2d3695a9e13641146433fbcc939dce249b40a4"
+      },
+      "generator": {
+        "x": "",
+        "y": ""
+      }
+    },
+    {
+      "form": "Weierstrass",
+      "name": "ssc-384",
+      "category": "other",
+      "desc": "A prime order curve from MIRACL: https://github.com/miracl/MIRACL/blob/master/docs/miracl-explained/miracl-standard-curves.md. Has no generator specified.",
+      "oid": "",
+      "field": {
+        "type": "Prime",
+        "p": "0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbea63b139b22514a08798e3404ddef9519b3cd3a437b",
+        "bits": 384
+      },
+      "params": {
+        "a": "0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbea63b139b22514a08798e3404ddef9519b3cd3a4378",
+        "b": "0xadf85458a2bb4a9aafdc5620273d3cf1d8b9c583ce2d3695a9e13641146433fbcc939dce249b3ef97d2fe363630c7791"
+      },
+      "generator": {
+        "x": "",
+        "y": ""
+      }
+    },
+    {
+      "form": "Weierstrass",
+      "name": "ssc-512",
+      "category": "other",
+      "desc": "A prime order curve from MIRACL: https://github.com/miracl/MIRACL/blob/master/docs/miracl-explained/miracl-standard-curves.md. Has no generator specified.",
+      "oid": "",
+      "field": {
+        "type": "Prime",
+        "p": "0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbea63b139b22514a08798e3404ddef9519b3cd3a431b302b0a6df25f14374fe1356d6d51c5ef",
+        "bits": 512
+      },
+      "params": {
+        "a": "0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbea63b139b22514a08798e3404ddef9519b3cd3a431b302b0a6df25f14374fe1356d6d51c5ec",
+        "b": "0xadf85458a2bb4a9aafdc5620273d3cf1d8b9c583ce2d3695a9e13641146433fbcc939dce249b3ef97d2fe363630c75d8f681b202aec4617ad3df1ed5d5fd6a8d"
+      },
+      "generator": {
+        "x": "",
+        "y": ""
+      }
     }
   ]
-}
+}
\ No newline at end of file
diff --git a/secg/curves.json b/secg/curves.json
index 68c36a6..982b03d 100644
--- a/secg/curves.json
+++ b/secg/curves.json
@@ -1,5 +1,5 @@
 {
-  "name": "secg",
+  "name": "SECG",
   "desc": "SEC 2: Recommended Elliptic Curve Domain Parameters version 2.0  January 27, 2010",
   "curves": [
     {
@@ -23,6 +23,9 @@
       },
       "order": "0xdb7c2abf62e35e7628dfac6561c5",
       "cofactor": "0x1",
+      "aliases": [
+        "wtls/wap-wsg-idm-ecid-wtls6"
+      ],
       "characteristics": {
         "discriminant": "431641039663814096123514803737201",
         "j_invariant": "3522606870331875081851146801233610",
@@ -309,6 +312,9 @@
       },
       "order": "0x0100000000000000000001b8fa16dfab9aca16b6b3",
       "cofactor": "0x1",
+      "aliases": [
+        "x963/ansip160k1"
+      ],
       "characteristics": {
         "discriminant": "1461501637330902918203684832716283019651637533123",
         "j_invariant": "0",
@@ -373,7 +379,10 @@
       },
       "order": "0x0100000000000000000001f4c8f927aed3ca752257",
       "cofactor": "0x1",
-      "aliases": ["wtls/wap-wsg-idm-ecid-wtls7"],
+      "aliases": [
+        "wtls/wap-wsg-idm-ecid-wtls7",
+        "x963/ansip160r1"
+      ],
       "characteristics": {
         "discriminant": "1027266213310721979572908445837817790068480350785",
         "j_invariant": "1443800352525525475817269232308576710441299733598",
@@ -438,6 +447,9 @@
       },
       "order": "0x0100000000000000000000351ee786a818f3a1a16b",
       "cofactor": "0x1",
+      "aliases": [
+        "x963/ansip160r2"
+      ],
       "characteristics": {
         "discriminant": "1237703873357928705511536972446330043119280998656",
         "j_invariant": "1027058635636405814575941827615445452503699747171",
@@ -497,6 +509,9 @@
       },
       "order": "0xfffffffffffffffffffffffe26f2fc170f69466a74defd8d",
       "cofactor": "0x1",
+      "aliases": [
+        "x963/ansip192k1"
+      ],
       "characteristics": {
         "discriminant": "6277101735386680763835789423207666416102355444459739537159",
         "j_invariant": "0",
@@ -562,7 +577,8 @@
       "order": "0xffffffffffffffffffffffff99def836146bc9b1b4d22831",
       "cofactor": "0x1",
       "aliases": [
-        "nist/P-192", "x962/prime192v1"
+        "nist/P-192",
+        "x962/prime192v1"
       ],
       "characteristics": {
         "discriminant": "5525402385154848923235289274741921730185152131202286251655",
@@ -628,6 +644,9 @@
       },
       "order": "0x10000000000000000000000000001dce8d2ec6184caf0a971769fb1f7",
       "cofactor": "0x01",
+      "aliases": [
+        "x963/ansip224k1"
+      ],
       "characteristics": {
         "discriminant": "26959946667150639794667015087019630673637144422540572481099315264317",
         "j_invariant": "0",
@@ -684,7 +703,8 @@
       "cofactor": "0x1",
       "aliases": [
         "nist/P-224",
-        "wtls/wap-wsg-idm-ecid-wtls12"
+        "wtls/wap-wsg-idm-ecid-wtls12",
+        "x963/ansip224r1"
       ],
       "characteristics": {
         "discriminant": "8133954887115844930654026312464158747844254983800706208418026371607",
@@ -735,6 +755,9 @@
       },
       "order": "0xfffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141",
       "cofactor": "0x1",
+      "aliases": [
+        "x963/ansip256k1"
+      ],
       "characteristics": {
         "discriminant": "115792089237316195423570985008687907853269984665640564039457584007908834650495",
         "j_invariant": "0",
@@ -827,7 +850,8 @@
       "order": "0xffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52973",
       "cofactor": "0x1",
       "aliases": [
-        "nist/P-384"
+        "nist/P-384",
+        "x963/ansip384r1"
       ],
       "characteristics": {
         "discriminant": "38275261264050278989862136034342276004573039492779555073863190029182890449044186682105480613137214197175883602718257",
@@ -857,7 +881,8 @@
       "order": "0x01fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409",
       "cofactor": "0x1",
       "aliases": [
-        "nist/P-521"
+        "nist/P-521",
+        "x963/ansip521r1"
       ],
       "characteristics": {
         "discriminant": "2687853087729004331535582886185403114835754464152651523509230634031161977750238608042000458607319784141115468556368066113806987449553072575343372028907331922",
@@ -866,6 +891,113 @@
       }
     },
     {
+      "form": "Weierstrass",
+      "name": "sect113r1",
+      "category": "secg",
+      "desc": "",
+      "oid": "1.3.132.0.4",
+      "field": {
+        "type": "Binary",
+        "bits": 113,
+        "poly": {
+          "m": 113,
+          "e1": 9
+        }
+      },
+      "params": {
+        "a": "0x003088250ca6e7c7fe649ce85820f7",
+        "b": "0x00e8bee4d3e2260744188be0e9c723"
+      },
+      "order": "0x0100000000000000d9ccec8a39e56f",
+      "cofactor": "0x2",
+      "generator": {
+        "x": "0x009d73616f35f4ab1407d73562c10f",
+        "y": "0x00a52830277958ee84d1315ed31886"
+      },
+      "aliases": [
+        "wtls/wap-wsg-idm-ecid-wtls4"
+      ]
+    },
+    {
+      "form": "Weierstrass",
+      "name": "sect113r2",
+      "category": "secg",
+      "desc": "",
+      "oid": "1.3.132.0.5",
+      "field": {
+        "type": "Binary",
+        "bits": 113,
+        "poly": {
+          "m": 113,
+          "e1": 9
+        }
+      },
+      "params": {
+        "a": "0x00689918dbec7e5a0dd6dfc0aa55c7",
+        "b": "0x0095e9a9ec9b297bd4bf36e059184f"
+      },
+      "order": "0x010000000000000108789b2496af93",
+      "cofactor": "0x2",
+      "generator": {
+        "x": "0x01a57a6a7b26ca5ef52fcdb8164797",
+        "y": "0x00b3adc94ed1fe674c06e695baba1d"
+      }
+    },
+    {
+      "form": "Weierstrass",
+      "name": "sect131r1",
+      "category": "secg",
+      "desc": "",
+      "oid": "1.3.132.0.22",
+      "field": {
+        "type": "Binary",
+        "bits": 131,
+        "poly": {
+          "m": 131,
+          "e1": 8,
+          "e2": 3,
+          "e3": 2
+        }
+      },
+      "params": {
+        "a": "0x07a11b09a76b562144418ff3ff8c2570b8",
+        "b": "0x0217c05610884b63b9c6c7291678f9d341"
+      },
+      "order": "0x0400000000000000023123953a9464b54d",
+      "cofactor": "0x2",
+      "generator": {
+        "x": "0x0081baf91fdf9833c40f9c181343638399",
+        "y": "0x078c6e7ea38c001f73c8134b1b4ef9e150"
+      }
+    },
+    {
+      "form": "Weierstrass",
+      "name": "sect131r2",
+      "category": "secg",
+      "desc": "",
+      "oid": "1.3.132.0.23",
+      "field": {
+        "type": "Binary",
+        "bits": 131,
+        "poly": {
+          "m": 131,
+          "e1": 8,
+          "e2": 3,
+          "e3": 2
+        }
+      },
+      "params": {
+        "a": "0x03e5a88919d7cafcbf415f07c2176573b2",
+        "b": "0x04b8266a46c55657ac734ce38f018f2192"
+      },
+      "order": "0x0400000000000000016954a233049ba98f",
+      "cofactor": "0x2",
+      "generator": {
+        "x": "0x0356dcd8f2f95031ad652d23951bb366a8",
+        "y": "0x0648f06d867940a5366d9e265de9eb240f"
+      }
+    },
+    {
       "name": "sect163k1",
       "category": "secg",
       "desc": "",
@@ -892,7 +1024,9 @@
       "order": "0x04000000000000000000020108a2e0cc0d99f8a5ef",
       "cofactor": "0x2",
       "aliases": [
-        "nist/K-163"
+        "nist/K-163",
+        "x963/ansit163k1",
+        "wtls/wap-wsg-idm-ecid-wtls3"
       ],
       "characteristics": {
         "discriminant": "1",
@@ -930,6 +1064,9 @@
       },
       "order": "0x03ffffffffffffffffffff48aab689c29ca710279b",
       "cofactor": "0x2",
+      "aliases": [
+        "x963/ansit163r1"
+      ],
       "characteristics": {
         "discriminant": "10341149448350347985759700389662805134872097107929",
         "j_invariant": "6799963281606188757260601154353010573009354190197",
@@ -967,7 +1104,8 @@
       "order": "0x040000000000000000000292fe77e70c12a4234c33",
       "cofactor": "0x2",
       "aliases": [
-        "nist/B-163"
+        "nist/B-163",
+        "x963/ansit163r2"
       ],
       "characteristics": {
         "discriminant": "2982236234343851336267446656627785008148015875581",
@@ -980,6 +1118,62 @@
       }
     },
     {
+      "form": "Weierstrass",
+      "name": "sect193r1",
+      "category": "secg",
+      "desc": "",
+      "oid": "1.3.132.0.24",
+      "field": {
+        "type": "Binary",
+        "bits": 193,
+        "poly": {
+          "m": 193,
+          "e1": 15
+        }
+      },
+      "params": {
+        "a": "0x0017858feb7a98975169e171f77b4087de098ac8a911df7b01",
+        "b": "0x00fdfb49bfe6c3a89facadaa7a1e5bbc7cc1c2e5d831478814"
+      },
+      "order": "0x01000000000000000000000000c7f34a778f443acc920eba49",
+      "cofactor": "0x2",
+      "generator": {
+        "x": "0x01f481bc5f0ff84a74ad6cdf6fdef4bf6179625372d8c0c5e1",
+        "y": "0x0025e399f2903712ccf3ea9e3a1ad17fb0b3201b6af7ce1b05"
+      },
+      "aliases": [
+        "x963/ansit193r1"
+      ]
+    },
+    {
+      "form": "Weierstrass",
+      "name": "sect193r2",
+      "category": "secg",
+      "desc": "",
+      "oid": "1.3.132.0.25",
+      "field": {
+        "type": "Binary",
+        "bits": 193,
+        "poly": {
+          "m": 193,
+          "e1": 15
+        }
+      },
+      "params": {
+        "a": "0x0163f35a5137c2ce3ea6ed8667190b0bc43ecd69977702709b",
+        "b": "0x00c9bb9e8927d4d64c377e2ab2856a5b16e3efb7f61d4316ae"
+      },
+      "order": "0x010000000000000000000000015aab561b005413ccd4ee99d5",
+      "cofactor": "0x2",
+      "generator": {
+        "x": "0x00d9b67d192e0367c803f39e1a7e82ca14a651350aae617e8f",
+        "y": "0x01ce94335607c304ac29e7defbd9ca01f596f927224cdecf6c"
+      },
+      "aliases": [
+        "x963/ansit193r2"
+      ]
+    },
+    {
       "name": "sect233k1",
       "category": "secg",
       "desc": "",
@@ -1005,7 +1199,8 @@
       "cofactor": "0x4",
       "aliases": [
         "nist/K-233",
-        "wtls/wap-wsg-idm-ecid-wtls10"
+        "wtls/wap-wsg-idm-ecid-wtls10",
+        "x963/ansit233k1"
       ],
       "characteristics": {
         "discriminant": "1",
@@ -1041,7 +1236,8 @@
       "cofactor": "0x2",
       "aliases": [
         "nist/B-233",
-        "wtls/wap-wsg-idm-ecid-wtls11"
+        "wtls/wap-wsg-idm-ecid-wtls11",
+        "x963/ansit233r1"
       ],
       "characteristics": {
         "discriminant": "2760497980029204187078845502377898520307707256259003964398570147123373",
@@ -1077,6 +1273,9 @@
       },
       "order": "0x2000000000000000000000000000005a79fec67cb6e91f1c1da800e478a5",
       "cofactor": "0x4",
+      "aliases": [
+        "x963/ansit239k1"
+      ],
       "characteristics": {
         "discriminant": "1",
         "j_invariant": "1",
@@ -1114,7 +1313,8 @@
       "order": "0x01ffffffffffffffffffffffffffffffffffe9ae2ed07577265dff7f94451e061e163c61",
       "cofactor": "0x4",
       "aliases": [
-        "nist/K-283"
+        "nist/K-283",
+        "x963/ansit283k1"
       ],
       "characteristics": {
         "discriminant": "1",
@@ -1153,7 +1353,8 @@
       "order": "0x03ffffffffffffffffffffffffffffffffffef90399660fc938a90165b042a7cefadb307",
       "cofactor": "0x2",
       "aliases": [
-        "nist/B-283"
+        "nist/B-283",
+        "x963/ansit283r1"
       ],
       "characteristics": {
         "discriminant": "4821813576056072374006997780399081180312270030300601270120450341205914644378616963829",
@@ -1190,7 +1391,8 @@
       "order": "0x7ffffffffffffffffffffffffffffffffffffffffffffffffffe5f83b2d4ea20400ec4557d5ed3e3e7ca5b4b5c83b8e01e5fcf",
       "cofactor": "0x4",
       "aliases": [
-        "nist/K-409"
+        "nist/K-409",
+        "x963/ansit409k1"
       ],
       "characteristics": {
         "discriminant": "1",
@@ -1225,7 +1427,8 @@
       "order": "0x010000000000000000000000000000000000000000000000000001e2aad6a612f33307be5fa47c3c9e052f838164cd37d9a21173",
       "cofactor": "0x2",
       "aliases": [
-        "nist/B-409"
+        "nist/B-409",
+        "x963/ansit409r1"
       ],
       "characteristics": {
         "discriminant": "86886261634090707672817770640384425264505829479043641824438658614111870471004564988634410809058207142318571212147935892575",
@@ -1262,7 +1465,8 @@
       "order": "0x020000000000000000000000000000000000000000000000000000000000000000000000131850e1f19a63e4b391a8db917f4138b630d84be5d639381e91deb45cfe778f637c1001",
       "cofactor": "0x4",
       "aliases": [
-        "nist/K-571"
+        "nist/K-571",
+        "x963/ansit571k1"
       ],
       "characteristics": {
         "discriminant": "1",
@@ -1299,7 +1503,8 @@
       "order": "0x03ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe661ce18ff55987308059b186823851ec7dd9ca1161de93d5174d66e8382e9bb2fe84e47",
       "cofactor": "0x2",
       "aliases": [
-        "nist/B-571"
+        "nist/B-571",
+        "x963/ansit571r1"
       ],
       "characteristics": {
         "discriminant": "2853329245261343535560086964181551296889298776106832980891560850944180011701123307905326019642652653533003482753023669016842884108172514870944140611113679225347419720217210",
@@ -1310,4 +1515,4 @@
       }
     }
   ]
-}
+}
\ No newline at end of file
diff --git a/wtls/curves.json b/wtls/curves.json
index 234e8ad..3b9ac5f 100644
--- a/wtls/curves.json
+++ b/wtls/curves.json
@@ -53,7 +53,8 @@
       },
       "aliases": [
         "nist/K-163",
-        "secg/sect163k1"
+        "secg/sect163k1",
+        "x963/ansit163k1"
       ]
     },
     {
@@ -79,7 +80,10 @@
       "params": {
         "a": "0x003088250ca6e7c7fe649ce85820f7",
         "b": "0x00e8bee4d3e2260744188be0e9c723"
-      }
+      },
+      "aliases": [
+        "secg/sect113r1"
+      ]
     },
     {
       "form": "Weierstrass",
@@ -131,7 +135,10 @@
       "params": {
         "a": "0xdb7c2abf62e35e668076bead2088",
         "b": "0x659ef8ba043916eede8911702b22"
-      }
+      },
+      "aliases": [
+        "secg/secp112r1"
+      ]
     },
     {
       "category": "WTLS",
@@ -155,7 +162,8 @@
         "b": "0x1c97befc54bd7a8b65acf89f81d4d4adc565fa45"
       },
       "aliases": [
-        "secg/secp160r1"
+        "secg/secp160r1",
+        "x963/ansip160r1"
       ]
     },
     {
@@ -228,7 +236,8 @@
       },
       "aliases": [
         "secg/sect233k1",
-        "nist/K-233"
+        "nist/K-233",
+        "x963/ansit233k1"
       ]
     },
     {
@@ -257,7 +266,8 @@
       },
       "aliases": [
         "secg/sect233r1",
-        "nist/B-233"
+        "nist/B-233",
+        "x963/ansit233r1"
       ]
     },
     {
@@ -283,7 +293,8 @@
       },
       "aliases": [
         "secg/secp224r1",
-        "nist/P-224"
+        "nist/P-224",
+        "x963/ansip224r1"
       ]
     }
   ],
diff --git a/x962/curves.json b/x962/curves.json
index ed36684..3431df4 100644
--- a/x962/curves.json
+++ b/x962/curves.json
@@ -1,6 +1,6 @@
 {
-  "name": "x962",
-  "desc": "x962 example curves.",
+  "name": "ANSI x9.62",
+  "desc": "ANSI x9.62 example curves.",
   "curves": [
     {
       "name": "prime192v1",
diff --git a/x963/curves.json b/x963/curves.json
new file mode 100644
index 0000000..54293dd
--- /dev/null
+++ b/x963/curves.json
@@ -0,0 +1,650 @@
+{
+  "name": "ANSI X9.63",
+  "desc": "ANSI x9.63 example curves.",
+  "curves": [
+    {
+      "form": "Weierstrass",
+      "name": "ansit163k1",
+      "category": "x963",
+      "desc": "",
+      "oid": "",
+      "field": {
+        "type": "Binary",
+        "bits": 163,
+        "poly": {
+          "m": 163,
+          "e1": 7,
+          "e2": 6,
+          "e3": 3
+        }
+      },
+      "params": {
+        "a": "0x000000000000000000000000000000000000000001",
+        "b": "0x000000000000000000000000000000000000000001"
+      },
+      "order": "0x04000000000000000000020108a2e0cc0d99f8a5ef",
+      "cofactor": "0x2",
+      "generator": {
+        "x": "0x02fe13c0537bbc11acaa07d793de4e6d5e5c94eee8",
+        "y": "0x0289070fb05d38ff58321f2e800536d538ccdaa3d9"
+      }
+    },
+    {
+      "name": "ansit163r1",
+      "category": "x963",
+      "desc": "",
+      "oid": "",
+      "field": {
+        "type": "Binary",
+        "poly": {
+          "m": 163,
+          "e1": 7,
+          "e2": 6,
+          "e3": 3
+        },
+        "bits": 163
+      },
+      "form": "Weierstrass",
+      "params": {
+        "a": "0x07b6882caaefa84f9554ff8428bd88e246d2782ae2",
+        "b": "0x0713612dcddcb40aab946bda29ca91f73af958afd9"
+      },
+      "generator": {
+        "x": "0x0369979697ab43897789566789567f787a7876a654",
+        "y": "0x00435edb42efafb2989d51fefce3c80988f41ff883"
+      },
+      "order": "0x03ffffffffffffffffffff48aab689c29ca710279b",
+      "cofactor": "0x2",
+      "aliases": [
+        "secg/sect163r1"
+      ]
+    },
+    {
+      "form": "Weierstrass",
+      "name": "ansit163r2",
+      "category": "x963",
+      "desc": "",
+      "oid": "",
+      "field": {
+        "type": "Binary",
+        "bits": 193,
+        "poly": {
+          "m": 163,
+          "e1": 7,
+          "e2": 6,
+          "e3": 3
+        }
+      },
+      "params": {
+        "a": "0x000000000000000000000000000000000000000001",
+        "b": "0x020a601907b8c953ca1481eb10512f78744a3205fd"
+      },
+      "order": "0x040000000000000000000292fe77e70c12a4234c33",
+      "cofactor": "0x2",
+      "generator": {
+        "x": "0x03f0eba16286a2d57ea0991168d4994637e8343e36",
+        "y": "0x00d51fbc6c71a0094fa2cdd545b11c5c0c797324f1"
+      },
+      "aliases": [
+        "secg/sect163r2",
+        "nist/B-163"
+      ]
+    },
+    {
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+}
\ No newline at end of file