mirror of
https://github.com/J08nY/std-curves.git
synced 2026-01-08 04:53:52 -05:00
2071 lines
57 KiB
JSON
2071 lines
57 KiB
JSON
{
|
|
"name": "SECG",
|
|
"desc": "SEC 2: Recommended Elliptic Curve Domain Parameters version 2.0 January 27, 2010",
|
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"curves": [
|
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{
|
|
"name": "secp112r1",
|
|
"category": "secg",
|
|
"desc": "A randomly generated curve. [SEC2v1](https://www.secg.org/SEC2-Ver-1.0.pdf) states 'E was chosen verifiably at random as specified in ANSI X9.62 [1] from the seed'.",
|
|
"oid": "1.3.132.0.6",
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|
"field": {
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|
"type": "Prime",
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|
"p": "0xdb7c2abf62e35e668076bead208b",
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"bits": 112
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},
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"form": "Weierstrass",
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"params": {
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"a": {
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"raw": "0xdb7c2abf62e35e668076bead2088"
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},
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"b": {
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"raw": "0x659ef8ba043916eede8911702b22"
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}
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},
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"generator": {
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"x": {
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"raw": "0x09487239995a5ee76b55f9c2f098"
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},
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"y": {
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"raw": "0xa89ce5af8724c0a23e0e0ff77500"
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}
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},
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"order": "0xdb7c2abf62e35e7628dfac6561c5",
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"cofactor": "0x01",
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"aliases": [
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"wtls/wap-wsg-idm-ecid-wtls6"
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|
],
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"characteristics": {
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"seed": "00F50B028E4D696E676875615175290472783FB1",
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"discriminant": "431641039663814096123514803737201",
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"j_invariant": "3522606870331875081851146801233610",
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"trace_of_frobenius": "-4407293269000505",
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"embedding_degree": "4451685225093714776491891542548932",
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"anomalous": false,
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"supersingular": false,
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"cm_disc": "17806740900374859092745686363194213",
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"conductor": "1",
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"torsion_degrees": [
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{
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"r": 2,
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"least": 3,
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"full": 3
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},
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{
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"r": 3,
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"least": 8,
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"full": 8
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},
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{
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"r": 5,
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"full": 8
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{
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"r": 7,
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{
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{
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{
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{
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}
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]
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}
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},
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{
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"name": "secp112r2",
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"category": "secg",
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"desc": "A randomly generated curve. [SEC2v1](https://www.secg.org/SEC2-Ver-1.0.pdf) states 'E was chosen verifiably at random as specified in ANSI X9.62 [1] from the seed'.",
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"oid": "1.3.132.0.7",
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"field": {
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"type": "Prime",
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"p": "0xdb7c2abf62e35e668076bead208b",
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"bits": 112
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"form": "Weierstrass",
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"params": {
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"b": {
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}
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},
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"order": "0x36df0aafd8b8d7597ca10520d04b",
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"cofactor": "0x04",
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"characteristics": {
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"discriminant": "3350974381310990100142288157262754",
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"j_invariant": "1815128745141690948653052996943564",
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"trace_of_frobenius": "72213667414400864",
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"embedding_degree": "370973768757809558322577571595630",
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"anomalous": false,
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"supersingular": false,
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"cm_disc": "494631691677079417114575713327579",
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"conductor": "6",
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{
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{
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"r": 3,
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{
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{
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{
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{
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{
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"r": 17,
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},
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{
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"r": 19,
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}
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]
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}
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},
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{
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"name": "secp128r1",
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"category": "secg",
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"desc": "A randomly generated curve. [SEC2v1](https://www.secg.org/SEC2-Ver-1.0.pdf) states 'E was chosen verifiably at random as specified in ANSI X9.62 [1] from the seed'.",
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"oid": "1.3.132.0.28",
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"field": {
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"type": "Prime",
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"p": "0xfffffffdffffffffffffffffffffffff",
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"bits": 128
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},
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"form": "Weierstrass",
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"params": {
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"raw": "0xfffffffdfffffffffffffffffffffffc"
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"b": {
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"generator": {
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"trace_of_frobenius": "-8476633335676313877",
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}
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},
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{
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"name": "secp128r2",
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"category": "secg",
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"desc": "A randomly generated curve. [SEC2v1](https://www.secg.org/SEC2-Ver-1.0.pdf) states 'E was chosen verifiably at random as specified in ANSI X9.62 [1] from the seed'.",
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"oid": "1.3.132.0.29",
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"field": {
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"type": "Prime",
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"p": "0xfffffffdffffffffffffffffffffffff",
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"bits": 128
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{
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"category": "secg",
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"desc": "A Koblitz curve.",
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},
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{
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"desc": "A randomly generated curve. [SEC2v1](https://www.secg.org/SEC2-Ver-1.0.pdf) states 'E was chosen verifiably at random as specified in ANSI X9.62 [1] from the seed'.",
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{
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"name": "secp160r2",
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|
"desc": "A randomly generated curve. [SEC2v1](https://www.secg.org/SEC2-Ver-1.0.pdf) states 'E was chosen verifiably at random as specified in ANSI X9.62 [1] from the seed'.",
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|
"oid": "1.3.132.0.30",
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"field": {
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"type": "Prime",
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"p": "0xfffffffffffffffffffffffffffffffeffffac73",
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"bits": 160
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"form": "Weierstrass",
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"j_invariant": "1027058635636405814575941827615445452503699747171",
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}
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},
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{
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"name": "sect571r1",
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"category": "secg",
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"desc": "",
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"oid": "1.3.132.0.39",
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"field": {
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"type": "Binary",
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"poly": [
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{
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"power": 571,
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},
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{
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{
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"power": 5,
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{
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{
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"power": 0,
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}
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],
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"basis": "poly"
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},
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"form": "Weierstrass",
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"params": {
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"a": {
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},
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}
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"generator": {
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"x": {
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"aliases": [
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"nist/B-571",
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"x963/ansit571r1"
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],
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}
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}
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]
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}
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