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authorJ08nY2020-10-08 16:03:33 +0200
committerJ08nY2020-10-08 16:03:33 +0200
commitcd47fe4400f96f215c0daeca06e139ef81b2eccc (patch)
tree8539ae4ad0b119d9826ab95e48427fc3a646e2fd
parent867e7aeafda3304fb802588d887ef35f2523f0fc (diff)
downloadstd-curves-cd47fe4400f96f215c0daeca06e139ef81b2eccc.tar.gz
std-curves-cd47fe4400f96f215c0daeca06e139ef81b2eccc.tar.zst
std-curves-cd47fe4400f96f215c0daeca06e139ef81b2eccc.zip
Add a few other curves.
-rw-r--r--other/curves.json102
1 files changed, 64 insertions, 38 deletions
diff --git a/other/curves.json b/other/curves.json
index edcadfa..34d9840 100644
--- a/other/curves.json
+++ b/other/curves.json
@@ -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",
@@ -163,6 +131,64 @@
"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",
"category": "other",