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sec.js (6100B)

      1 // Named EC curves
      2 
      3 // Requires ec.js, jsbn.js, and jsbn2.js
      4 var BigInteger = require('jsbn').BigInteger
      5 var ECCurveFp = require('./ec.js').ECCurveFp
      6 
      7 
      8 // ----------------
      9 // X9ECParameters
     10 
     11 // constructor
     12 function X9ECParameters(curve,g,n,h) {
     13     this.curve = curve;
     14     this.g = g;
     15     this.n = n;
     16     this.h = h;
     17 }
     18 
     19 function x9getCurve() {
     20     return this.curve;
     21 }
     22 
     23 function x9getG() {
     24     return this.g;
     25 }
     26 
     27 function x9getN() {
     28     return this.n;
     29 }
     30 
     31 function x9getH() {
     32     return this.h;
     33 }
     34 
     35 X9ECParameters.prototype.getCurve = x9getCurve;
     36 X9ECParameters.prototype.getG = x9getG;
     37 X9ECParameters.prototype.getN = x9getN;
     38 X9ECParameters.prototype.getH = x9getH;
     39 
     40 // ----------------
     41 // SECNamedCurves
     42 
     43 function fromHex(s) { return new BigInteger(s, 16); }
     44 
     45 function secp128r1() {
     46     // p = 2^128 - 2^97 - 1
     47     var p = fromHex("FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF");
     48     var a = fromHex("FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFC");
     49     var b = fromHex("E87579C11079F43DD824993C2CEE5ED3");
     50     //byte[] S = Hex.decode("000E0D4D696E6768756151750CC03A4473D03679");
     51     var n = fromHex("FFFFFFFE0000000075A30D1B9038A115");
     52     var h = BigInteger.ONE;
     53     var curve = new ECCurveFp(p, a, b);
     54     var G = curve.decodePointHex("04"
     55                 + "161FF7528B899B2D0C28607CA52C5B86"
     56 		+ "CF5AC8395BAFEB13C02DA292DDED7A83");
     57     return new X9ECParameters(curve, G, n, h);
     58 }
     59 
     60 function secp160k1() {
     61     // p = 2^160 - 2^32 - 2^14 - 2^12 - 2^9 - 2^8 - 2^7 - 2^3 - 2^2 - 1
     62     var p = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73");
     63     var a = BigInteger.ZERO;
     64     var b = fromHex("7");
     65     //byte[] S = null;
     66     var n = fromHex("0100000000000000000001B8FA16DFAB9ACA16B6B3");
     67     var h = BigInteger.ONE;
     68     var curve = new ECCurveFp(p, a, b);
     69     var G = curve.decodePointHex("04"
     70                 + "3B4C382CE37AA192A4019E763036F4F5DD4D7EBB"
     71                 + "938CF935318FDCED6BC28286531733C3F03C4FEE");
     72     return new X9ECParameters(curve, G, n, h);
     73 }
     74 
     75 function secp160r1() {
     76     // p = 2^160 - 2^31 - 1
     77     var p = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF");
     78     var a = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC");
     79     var b = fromHex("1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45");
     80     //byte[] S = Hex.decode("1053CDE42C14D696E67687561517533BF3F83345");
     81     var n = fromHex("0100000000000000000001F4C8F927AED3CA752257");
     82     var h = BigInteger.ONE;
     83     var curve = new ECCurveFp(p, a, b);
     84     var G = curve.decodePointHex("04"
     85 		+ "4A96B5688EF573284664698968C38BB913CBFC82"
     86 		+ "23A628553168947D59DCC912042351377AC5FB32");
     87     return new X9ECParameters(curve, G, n, h);
     88 }
     89 
     90 function secp192k1() {
     91     // p = 2^192 - 2^32 - 2^12 - 2^8 - 2^7 - 2^6 - 2^3 - 1
     92     var p = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFEE37");
     93     var a = BigInteger.ZERO;
     94     var b = fromHex("3");
     95     //byte[] S = null;
     96     var n = fromHex("FFFFFFFFFFFFFFFFFFFFFFFE26F2FC170F69466A74DEFD8D");
     97     var h = BigInteger.ONE;
     98     var curve = new ECCurveFp(p, a, b);
     99     var G = curve.decodePointHex("04"
    100                 + "DB4FF10EC057E9AE26B07D0280B7F4341DA5D1B1EAE06C7D"
    101                 + "9B2F2F6D9C5628A7844163D015BE86344082AA88D95E2F9D");
    102     return new X9ECParameters(curve, G, n, h);
    103 }
    104 
    105 function secp192r1() {
    106     // p = 2^192 - 2^64 - 1
    107     var p = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF");
    108     var a = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC");
    109     var b = fromHex("64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1");
    110     //byte[] S = Hex.decode("3045AE6FC8422F64ED579528D38120EAE12196D5");
    111     var n = fromHex("FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831");
    112     var h = BigInteger.ONE;
    113     var curve = new ECCurveFp(p, a, b);
    114     var G = curve.decodePointHex("04"
    115                 + "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012"
    116                 + "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811");
    117     return new X9ECParameters(curve, G, n, h);
    118 }
    119 
    120 function secp224r1() {
    121     // p = 2^224 - 2^96 + 1
    122     var p = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001");
    123     var a = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE");
    124     var b = fromHex("B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4");
    125     //byte[] S = Hex.decode("BD71344799D5C7FCDC45B59FA3B9AB8F6A948BC5");
    126     var n = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D");
    127     var h = BigInteger.ONE;
    128     var curve = new ECCurveFp(p, a, b);
    129     var G = curve.decodePointHex("04"
    130                 + "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21"
    131                 + "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34");
    132     return new X9ECParameters(curve, G, n, h);
    133 }
    134 
    135 function secp256r1() {
    136     // p = 2^224 (2^32 - 1) + 2^192 + 2^96 - 1
    137     var p = fromHex("FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF");
    138     var a = fromHex("FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC");
    139     var b = fromHex("5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B");
    140     //byte[] S = Hex.decode("C49D360886E704936A6678E1139D26B7819F7E90");
    141     var n = fromHex("FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551");
    142     var h = BigInteger.ONE;
    143     var curve = new ECCurveFp(p, a, b);
    144     var G = curve.decodePointHex("04"
    145                 + "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296"
    146 		+ "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5");
    147     return new X9ECParameters(curve, G, n, h);
    148 }
    149 
    150 // TODO: make this into a proper hashtable
    151 function getSECCurveByName(name) {
    152     if(name == "secp128r1") return secp128r1();
    153     if(name == "secp160k1") return secp160k1();
    154     if(name == "secp160r1") return secp160r1();
    155     if(name == "secp192k1") return secp192k1();
    156     if(name == "secp192r1") return secp192r1();
    157     if(name == "secp224r1") return secp224r1();
    158     if(name == "secp256r1") return secp256r1();
    159     return null;
    160 }
    161 
    162 module.exports = {
    163   "secp128r1":secp128r1,
    164   "secp160k1":secp160k1,
    165   "secp160r1":secp160r1,
    166   "secp192k1":secp192k1,
    167   "secp192r1":secp192r1,
    168   "secp224r1":secp224r1,
    169   "secp256r1":secp256r1
    170 }