sec.js

// 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
}