'use strict';
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var curves = exports;
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var hash = require('hash.js');
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var curve = require('./curve');
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var utils = require('./utils');
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var assert = utils.assert;
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function PresetCurve(options) {
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if (options.type === 'short')
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this.curve = new curve.short(options);
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else if (options.type === 'edwards')
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this.curve = new curve.edwards(options);
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else
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this.curve = new curve.mont(options);
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this.g = this.curve.g;
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this.n = this.curve.n;
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this.hash = options.hash;
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assert(this.g.validate(), 'Invalid curve');
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assert(this.g.mul(this.n).isInfinity(), 'Invalid curve, G*N != O');
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}
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curves.PresetCurve = PresetCurve;
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function defineCurve(name, options) {
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Object.defineProperty(curves, name, {
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configurable: true,
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enumerable: true,
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get: function() {
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var curve = new PresetCurve(options);
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Object.defineProperty(curves, name, {
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configurable: true,
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enumerable: true,
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value: curve,
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});
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return curve;
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},
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});
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}
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defineCurve('p192', {
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type: 'short',
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prime: 'p192',
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p: 'ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff',
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a: 'ffffffff ffffffff ffffffff fffffffe ffffffff fffffffc',
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b: '64210519 e59c80e7 0fa7e9ab 72243049 feb8deec c146b9b1',
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n: 'ffffffff ffffffff ffffffff 99def836 146bc9b1 b4d22831',
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hash: hash.sha256,
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gRed: false,
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g: [
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'188da80e b03090f6 7cbf20eb 43a18800 f4ff0afd 82ff1012',
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'07192b95 ffc8da78 631011ed 6b24cdd5 73f977a1 1e794811',
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],
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});
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defineCurve('p224', {
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type: 'short',
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prime: 'p224',
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p: 'ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001',
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a: 'ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff fffffffe',
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b: 'b4050a85 0c04b3ab f5413256 5044b0b7 d7bfd8ba 270b3943 2355ffb4',
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n: 'ffffffff ffffffff ffffffff ffff16a2 e0b8f03e 13dd2945 5c5c2a3d',
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hash: hash.sha256,
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gRed: false,
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g: [
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'b70e0cbd 6bb4bf7f 321390b9 4a03c1d3 56c21122 343280d6 115c1d21',
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'bd376388 b5f723fb 4c22dfe6 cd4375a0 5a074764 44d58199 85007e34',
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],
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});
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defineCurve('p256', {
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type: 'short',
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prime: null,
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p: 'ffffffff 00000001 00000000 00000000 00000000 ffffffff ffffffff ffffffff',
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a: 'ffffffff 00000001 00000000 00000000 00000000 ffffffff ffffffff fffffffc',
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b: '5ac635d8 aa3a93e7 b3ebbd55 769886bc 651d06b0 cc53b0f6 3bce3c3e 27d2604b',
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n: 'ffffffff 00000000 ffffffff ffffffff bce6faad a7179e84 f3b9cac2 fc632551',
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hash: hash.sha256,
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gRed: false,
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g: [
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'6b17d1f2 e12c4247 f8bce6e5 63a440f2 77037d81 2deb33a0 f4a13945 d898c296',
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'4fe342e2 fe1a7f9b 8ee7eb4a 7c0f9e16 2bce3357 6b315ece cbb64068 37bf51f5',
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],
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});
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defineCurve('p384', {
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type: 'short',
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prime: null,
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p: 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ' +
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'fffffffe ffffffff 00000000 00000000 ffffffff',
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a: 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ' +
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'fffffffe ffffffff 00000000 00000000 fffffffc',
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b: 'b3312fa7 e23ee7e4 988e056b e3f82d19 181d9c6e fe814112 0314088f ' +
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'5013875a c656398d 8a2ed19d 2a85c8ed d3ec2aef',
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n: 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff c7634d81 ' +
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'f4372ddf 581a0db2 48b0a77a ecec196a ccc52973',
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hash: hash.sha384,
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gRed: false,
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g: [
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'aa87ca22 be8b0537 8eb1c71e f320ad74 6e1d3b62 8ba79b98 59f741e0 82542a38 ' +
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'5502f25d bf55296c 3a545e38 72760ab7',
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'3617de4a 96262c6f 5d9e98bf 9292dc29 f8f41dbd 289a147c e9da3113 b5f0b8c0 ' +
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'0a60b1ce 1d7e819d 7a431d7c 90ea0e5f',
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],
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});
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defineCurve('p521', {
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type: 'short',
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prime: null,
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p: '000001ff ffffffff ffffffff ffffffff ffffffff ffffffff ' +
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'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ' +
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'ffffffff ffffffff ffffffff ffffffff ffffffff',
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a: '000001ff ffffffff ffffffff ffffffff ffffffff ffffffff ' +
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'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ' +
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'ffffffff ffffffff ffffffff ffffffff fffffffc',
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b: '00000051 953eb961 8e1c9a1f 929a21a0 b68540ee a2da725b ' +
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'99b315f3 b8b48991 8ef109e1 56193951 ec7e937b 1652c0bd ' +
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'3bb1bf07 3573df88 3d2c34f1 ef451fd4 6b503f00',
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n: '000001ff ffffffff ffffffff ffffffff ffffffff ffffffff ' +
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'ffffffff ffffffff fffffffa 51868783 bf2f966b 7fcc0148 ' +
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'f709a5d0 3bb5c9b8 899c47ae bb6fb71e 91386409',
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hash: hash.sha512,
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gRed: false,
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g: [
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'000000c6 858e06b7 0404e9cd 9e3ecb66 2395b442 9c648139 ' +
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'053fb521 f828af60 6b4d3dba a14b5e77 efe75928 fe1dc127 ' +
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'a2ffa8de 3348b3c1 856a429b f97e7e31 c2e5bd66',
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'00000118 39296a78 9a3bc004 5c8a5fb4 2c7d1bd9 98f54449 ' +
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'579b4468 17afbd17 273e662c 97ee7299 5ef42640 c550b901 ' +
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'3fad0761 353c7086 a272c240 88be9476 9fd16650',
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],
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});
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defineCurve('curve25519', {
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type: 'mont',
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prime: 'p25519',
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p: '7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed',
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a: '76d06',
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b: '1',
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n: '1000000000000000 0000000000000000 14def9dea2f79cd6 5812631a5cf5d3ed',
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hash: hash.sha256,
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gRed: false,
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g: [
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'9',
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],
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});
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defineCurve('ed25519', {
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type: 'edwards',
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prime: 'p25519',
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p: '7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed',
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a: '-1',
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c: '1',
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// -121665 * (121666^(-1)) (mod P)
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d: '52036cee2b6ffe73 8cc740797779e898 00700a4d4141d8ab 75eb4dca135978a3',
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n: '1000000000000000 0000000000000000 14def9dea2f79cd6 5812631a5cf5d3ed',
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hash: hash.sha256,
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gRed: false,
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g: [
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'216936d3cd6e53fec0a4e231fdd6dc5c692cc7609525a7b2c9562d608f25d51a',
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// 4/5
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'6666666666666666666666666666666666666666666666666666666666666658',
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],
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});
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var pre;
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try {
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pre = require('./precomputed/secp256k1');
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} catch (e) {
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pre = undefined;
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}
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defineCurve('secp256k1', {
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type: 'short',
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prime: 'k256',
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p: 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f',
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a: '0',
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b: '7',
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n: 'ffffffff ffffffff ffffffff fffffffe baaedce6 af48a03b bfd25e8c d0364141',
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h: '1',
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hash: hash.sha256,
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// Precomputed endomorphism
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beta: '7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee',
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lambda: '5363ad4cc05c30e0a5261c028812645a122e22ea20816678df02967c1b23bd72',
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basis: [
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{
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a: '3086d221a7d46bcde86c90e49284eb15',
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b: '-e4437ed6010e88286f547fa90abfe4c3',
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},
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{
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a: '114ca50f7a8e2f3f657c1108d9d44cfd8',
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b: '3086d221a7d46bcde86c90e49284eb15',
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},
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],
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gRed: false,
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g: [
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'79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798',
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'483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8',
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pre,
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],
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});
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