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sec.js
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// Named EC curves // Requires ec.js, jsbn.js, and jsbn2.js var BigInteger = require('jsbn').BigInteger var ECCurveFp = require('./ec.js').ECCurveFp // ---------------- // X9ECParameters // constructor function X9ECParameters(curve,g,n,h) { this.curve = curve; this.g = g; this.n = n; this.h = h; } function x9getCurve() { return this.curve; } function x9getG() { return this.g; } function x9getN() { return this.n; } function x9getH() { return this.h; } X9ECParameters.prototype.getCurve = x9getCurve; X9ECParameters.prototype.getG = x9getG; X9ECParameters.prototype.getN = x9getN; X9ECParameters.prototype.getH = x9getH; // ---------------- // SECNamedCurves function fromHex(s) { return new BigInteger(s, 16); } function secp128r1() { // p = 2^128 - 2^97 - 1 var p = fromHex("FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF"); var a = fromHex("FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFC"); var b = fromHex("E87579C11079F43DD824993C2CEE5ED3"); //byte[] S = Hex.decode("000E0D4D696E6768756151750CC03A4473D03679"); var n = fromHex("FFFFFFFE0000000075A30D1B9038A115"); var h = BigInteger.ONE; var curve = new ECCurveFp(p, a, b); var G = curve.decodePointHex("04" + "161FF7528B899B2D0C28607CA52C5B86" + "CF5AC8395BAFEB13C02DA292DDED7A83"); return new X9ECParameters(curve, G, n, h); } function secp160k1() { // p = 2^160 - 2^32 - 2^14 - 2^12 - 2^9 - 2^8 - 2^7 - 2^3 - 2^2 - 1 var p = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73"); var a = BigInteger.ZERO; var b = fromHex("7"); //byte[] S = null; var n = fromHex("0100000000000000000001B8FA16DFAB9ACA16B6B3"); var h = BigInteger.ONE; var curve = new ECCurveFp(p, a, b); var G = curve.decodePointHex("04" + "3B4C382CE37AA192A4019E763036F4F5DD4D7EBB" + "938CF935318FDCED6BC28286531733C3F03C4FEE"); return new X9ECParameters(curve, G, n, h); } function secp160r1() { // p = 2^160 - 2^31 - 1 var p = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF"); var a = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC"); var b = fromHex("1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45"); //byte[] S = Hex.decode("1053CDE42C14D696E67687561517533BF3F83345"); var n = fromHex("0100000000000000000001F4C8F927AED3CA752257"); var h = BigInteger.ONE; var curve = new ECCurveFp(p, a, b); var G = curve.decodePointHex("04" + "4A96B5688EF573284664698968C38BB913CBFC82" + "23A628553168947D59DCC912042351377AC5FB32"); return new X9ECParameters(curve, G, n, h); } function secp192k1() { // p = 2^192 - 2^32 - 2^12 - 2^8 - 2^7 - 2^6 - 2^3 - 1 var p = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFEE37"); var a = BigInteger.ZERO; var b = fromHex("3"); //byte[] S = null; var n = fromHex("FFFFFFFFFFFFFFFFFFFFFFFE26F2FC170F69466A74DEFD8D"); var h = BigInteger.ONE; var curve = new ECCurveFp(p, a, b); var G = curve.decodePointHex("04" + "DB4FF10EC057E9AE26B07D0280B7F4341DA5D1B1EAE06C7D" + "9B2F2F6D9C5628A7844163D015BE86344082AA88D95E2F9D"); return new X9ECParameters(curve, G, n, h); } function secp192r1() { // p = 2^192 - 2^64 - 1 var p = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF"); var a = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC"); var b = fromHex("64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1"); //byte[] S = Hex.decode("3045AE6FC8422F64ED579528D38120EAE12196D5"); var n = fromHex("FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831"); var h = BigInteger.ONE; var curve = new ECCurveFp(p, a, b); var G = curve.decodePointHex("04" + "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012" + "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811"); return new X9ECParameters(curve, G, n, h); } function secp224r1() { // p = 2^224 - 2^96 + 1 var p = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001"); var a = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE"); var b = fromHex("B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4"); //byte[] S = Hex.decode("BD71344799D5C7FCDC45B59FA3B9AB8F6A948BC5"); var n = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D"); var h = BigInteger.ONE; var curve = new ECCurveFp(p, a, b); var G = curve.decodePointHex("04" + "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21" + "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34"); return new X9ECParameters(curve, G, n, h); } function secp256r1() { // p = 2^224 (2^32 - 1) + 2^192 + 2^96 - 1 var p = fromHex("FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF"); var a = fromHex("FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC"); var b = fromHex("5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B"); //byte[] S = Hex.decode("C49D360886E704936A6678E1139D26B7819F7E90"); var n = fromHex("FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551"); var h = BigInteger.ONE; var curve = new ECCurveFp(p, a, b); var G = curve.decodePointHex("04" + "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296" + "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5"); return new X9ECParameters(curve, G, n, h); } // TODO: make this into a proper hashtable function getSECCurveByName(name) { if(name == "secp128r1") return secp128r1(); if(name == "secp160k1") return secp160k1(); if(name == "secp160r1") return secp160r1(); if(name == "secp192k1") return secp192k1(); if(name == "secp192r1") return secp192r1(); if(name == "secp224r1") return secp224r1(); if(name == "secp256r1") return secp256r1(); return null; } module.exports = { "secp128r1":secp128r1, "secp160k1":secp160k1, "secp160r1":secp160r1, "secp192k1":secp192k1, "secp192r1":secp192r1, "secp224r1":secp224r1, "secp256r1":secp256r1 }