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Add a few other curves.

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J08nY
2020-10-08 16:03:33 +02:00
parent 867e7aeafd
commit cd47fe4400
1 changed files with 64 additions and 38 deletions
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102
other/curves.json
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@@ -11,57 +11,25 @@
"p": "0x1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFD",
"bits": 221
},
"form": "Weierstrass",
"form": "Montgomery",
"params": {
"a": {
"raw": "0x155555555555555555555555555555555555555555555554451FF4F3"
"raw": "0x01c93a"
},
"b": {
"raw": "0x1684BDA12F684BDA12F684BDA12F684BDA12F684BDA19B7249700DF7"
"raw": "0x01"
}
},
"generator": {
"x": {
"raw": "0x1555555555555555555555555555555555555555555555555555EDC0"
"raw": "0x04"
},
"y": {
"raw": "0x0F7ACDD2A4939571D1CEF14ECA37C228E61DBFF10707DC6C08C5056D"
"raw": "0x0f7acdd2a4939571d1cef14eca37c228e61dbff10707dc6c08c5056d"
}
},
"order": "0x040000000000000000000000000015A08ED730E8A2F77F005042605B",
"cofactor": "0x8",
"characteristics": {
"discriminant": "219211239936",
"j_invariant": "2198635150322943370581460256665771755915443349493942401782889387523",
"trace_of_frobenius": "-3509210517603025598879416729141978",
"embedding_degree": "210624583337114373395836055367341083963447540990198152472167526445",
"anomalous": false,
"supersingular": false,
"cm_disc": "1497774814841702210814834171501090982892121090477320568885392696286",
"conductor": "3",
"torsion_degrees": [
{
"r": 2,
"least": 1,
"full": 2
},
{
"r": 3,
"least": 8,
"full": 8
},
{
"r": 5,
"least": 12,
"full": 12
},
{
"r": 7,
"least": 4,
"full": 4
}
]
}
"cofactor": "0x8"
},
{
"name": "M-383",
@@ -162,6 +130,64 @@
},
"order": "0xffffffffffffffffffffffffffff70cbc95e932f802f31423598cbf",
"cofactor": "0x04"
},
{
"name": "E-382",
"category": "other",
"desc": "Curve from https://eprint.iacr.org/2013/647.pdf",
"field": {
"type": "Prime",
"p": "0x3fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff97",
"bits": 382
},
"form": "Edwards",
"params": {
"a": {
"raw": "0x3ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffef8e1"
},
"b": {
"raw": "0x01"
}
},
"generator": {
"x": {
"raw": "0x196f8dd0eab20391e5f05be96e8d20ae68f840032b0b64352923bab85364841193517dbce8105398ebc0cc9470f79603"
},
"y": {
"raw": "0x11"
}
},
"order": "0xfffffffffffffffffffffffffffffffffffffffffffffffd5fb21f21e95eee17c5e69281b102d2773e27e13fd3c9719",
"cofactor": "0x04"
},
{
"name": "E-521",
"category": "other",
"desc": "Curve from https://eprint.iacr.org/2013/647.pdf",
"field": {
"type": "Prime",
"p": "0x1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
"bits": 521
},
"form": "Edwards",
"params": {
"a": {
"raw": "0x01"
},
"d": {
"raw": "0x1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa4331"
}
},
"generator": {
"x": {
"raw": "0x752cb45c48648b189df90cb2296b2878a3bfd9f42fc6c818ec8bf3c9c0c6203913f6ecc5ccc72434b1ae949d568fc99c6059d0fb13364838aa302a940a2f19ba6c"
},
"y": {
"raw": "0x0c"
}
},
"order": "0x7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd15b6c64746fc85f736b8af5e7ec53f04fbd8c4569a8f1f4540ea2435f5180d6b",
"cofactor": "0x04"
},
{
"name": "Curve25519",