/** * deps/ecc/curves.js - Elliptic Curve NIST/SECG/X9.62 Parameters * Original Copyright (c) 2003-2005 Tom Wu. * Modifications Copyright (c) 2015 Cisco Systems, Inc. See LICENSE file. * * Ported from Tom Wu, which is ported from BouncyCastle * Modified to reuse existing external NPM modules, restricted to the * NIST//SECG/X9.62 prime curves only, and formatted to match project * coding styles. */ "use strict"; // Named EC curves var BigInteger = require("../../deps/forge").jsbn.BigInteger, ec = require("./math.js"); // ---------------- // 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 secp256r1() { // p = 2^224 (2^32 - 1) + 2^192 + 2^96 - 1 var p = fromHex("FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF"); var a = fromHex("FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC"); var b = fromHex("5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B"); var n = fromHex("FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551"); var h = BigInteger.ONE; var curve = new ec.ECCurveFp(p, a, b); var G = curve.decodePointHex("04" + "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296" + "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5"); return new X9ECParameters(curve, G, n, h); } function secp384r1() { // p = 2^384 - 2^128 - 2^96 + 2^32 - 1 var p = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF"); var a = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC"); var b = fromHex("B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF"); var n = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973"); var h = BigInteger.ONE; var curve = new ec.ECCurveFp(p, a, b); var G = curve.decodePointHex("04" + "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B9859F741E082542A385502F25DBF55296C3A545E3872760AB7" + "3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A147CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F"); return new X9ECParameters(curve, G, n, h); } function secp521r1() { // p = 2^521 - 1 var p = fromHex("01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"); var a = fromHex("01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC"); var b = fromHex("0051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573DF883D2C34F1EF451FD46B503F00"); var n = fromHex("01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E91386409"); var h = BigInteger.ONE; var curve = new ec.ECCurveFp(p, a, b); var G = curve.decodePointHex("04" + "00C6858E06B70404E9CD9E3ECB662395B4429C648139053FB521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B3C1856A429BF97E7E31C2E5BD66" + "011839296A789A3BC0045C8A5FB42C7D1BD998F54449579B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C7086A272C24088BE94769FD16650"); return new X9ECParameters(curve, G, n, h); } // ---------------- // Public API var CURVES = module.exports = { "secp256r1": secp256r1(), "secp384r1": secp384r1(), "secp521r1": secp521r1() }; // also export NIST names CURVES["P-256"] = CURVES.secp256r1; CURVES["P-384"] = CURVES.secp384r1; CURVES["P-521"] = CURVES.secp521r1;