Java tutorial
package org.bouncycastle.asn1.sec; import java.math.BigInteger; import java.util.Enumeration; import java.util.Hashtable; import org.bouncycastle.asn1.ASN1ObjectIdentifier; import org.bouncycastle.asn1.x9.X9ECParameters; import org.bouncycastle.asn1.x9.X9ECParametersHolder; import org.bouncycastle.asn1.x9.X9ECPoint; import org.bouncycastle.math.ec.ECConstants; import org.bouncycastle.math.ec.ECCurve; import org.bouncycastle.math.ec.WNafUtil; import org.bouncycastle.math.ec.endo.GLVTypeBEndomorphism; import org.bouncycastle.math.ec.endo.GLVTypeBParameters; import org.bouncycastle.math.ec.endo.ScalarSplitParameters; import org.bouncycastle.util.Strings; import org.bouncycastle.util.encoders.Hex; public class SECNamedCurves { private static X9ECPoint configureBasepoint(ECCurve curve, String encoding) { X9ECPoint G = new X9ECPoint(curve, Hex.decodeStrict(encoding)); WNafUtil.configureBasepoint(G.getPoint()); return G; } private static ECCurve configureCurve(ECCurve curve) { return curve; } private static ECCurve configureCurveGLV(ECCurve c, GLVTypeBParameters p) { return c.configure().setEndomorphism(new GLVTypeBEndomorphism(c, p)).create(); } private static BigInteger fromHex(String hex) { return new BigInteger(1, Hex.decodeStrict(hex)); } /* * secp112r1 */ static X9ECParametersHolder secp112r1 = new X9ECParametersHolder() { protected X9ECParameters createParameters() { // p = (2^128 - 3) / 76439 BigInteger p = fromHex("DB7C2ABF62E35E668076BEAD208B"); BigInteger a = fromHex("DB7C2ABF62E35E668076BEAD2088"); BigInteger b = fromHex("659EF8BA043916EEDE8911702B22"); byte[] S = Hex.decodeStrict("00F50B028E4D696E676875615175290472783FB1"); BigInteger n = fromHex("DB7C2ABF62E35E7628DFAC6561C5"); BigInteger h = BigInteger.valueOf(1); ECCurve curve = configureCurve(new ECCurve.Fp(p, a, b, n, h)); X9ECPoint G = configureBasepoint(curve, "0409487239995A5EE76B55F9C2F098A89CE5AF8724C0A23E0E0FF77500"); return new X9ECParameters(curve, G, n, h, S); } }; /* * secp112r2 */ static X9ECParametersHolder secp112r2 = new X9ECParametersHolder() { protected X9ECParameters createParameters() { // p = (2^128 - 3) / 76439 BigInteger p = fromHex("DB7C2ABF62E35E668076BEAD208B"); BigInteger a = fromHex("6127C24C05F38A0AAAF65C0EF02C"); BigInteger b = fromHex("51DEF1815DB5ED74FCC34C85D709"); byte[] S = Hex.decodeStrict("002757A1114D696E6768756151755316C05E0BD4"); BigInteger n = fromHex("36DF0AAFD8B8D7597CA10520D04B"); BigInteger h = BigInteger.valueOf(4); ECCurve curve = configureCurve(new ECCurve.Fp(p, a, b, n, h)); X9ECPoint G = configureBasepoint(curve, "044BA30AB5E892B4E1649DD0928643ADCD46F5882E3747DEF36E956E97"); return new X9ECParameters(curve, G, n, h, S); } }; /* * secp128r1 */ static X9ECParametersHolder secp128r1 = new X9ECParametersHolder() { protected X9ECParameters createParameters() { // p = 2^128 - 2^97 - 1 BigInteger p = fromHex("FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF"); BigInteger a = fromHex("FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFC"); BigInteger b = fromHex("E87579C11079F43DD824993C2CEE5ED3"); byte[] S = Hex.decodeStrict("000E0D4D696E6768756151750CC03A4473D03679"); BigInteger n = fromHex("FFFFFFFE0000000075A30D1B9038A115"); BigInteger h = BigInteger.valueOf(1); ECCurve curve = configureCurve(new ECCurve.Fp(p, a, b, n, h)); X9ECPoint G = configureBasepoint(curve, "04161FF7528B899B2D0C28607CA52C5B86CF5AC8395BAFEB13C02DA292DDED7A83"); return new X9ECParameters(curve, G, n, h, S); } }; /* * secp128r2 */ static X9ECParametersHolder secp128r2 = new X9ECParametersHolder() { protected X9ECParameters createParameters() { // p = 2^128 - 2^97 - 1 BigInteger p = fromHex("FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF"); BigInteger a = fromHex("D6031998D1B3BBFEBF59CC9BBFF9AEE1"); BigInteger b = fromHex("5EEEFCA380D02919DC2C6558BB6D8A5D"); byte[] S = Hex.decodeStrict("004D696E67687561517512D8F03431FCE63B88F4"); BigInteger n = fromHex("3FFFFFFF7FFFFFFFBE0024720613B5A3"); BigInteger h = BigInteger.valueOf(4); ECCurve curve = configureCurve(new ECCurve.Fp(p, a, b, n, h)); X9ECPoint G = configureBasepoint(curve, "047B6AA5D85E572983E6FB32A7CDEBC14027B6916A894D3AEE7106FE805FC34B44"); return new X9ECParameters(curve, G, n, h, S); } }; /* * secp160k1 */ static X9ECParametersHolder secp160k1 = new X9ECParametersHolder() { protected X9ECParameters createParameters() { // p = 2^160 - 2^32 - 2^14 - 2^12 - 2^9 - 2^8 - 2^7 - 2^3 - 2^2 - 1 BigInteger p = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73"); BigInteger a = ECConstants.ZERO; BigInteger b = BigInteger.valueOf(7); byte[] S = null; BigInteger n = fromHex("0100000000000000000001B8FA16DFAB9ACA16B6B3"); BigInteger h = BigInteger.valueOf(1); GLVTypeBParameters glv = new GLVTypeBParameters( new BigInteger("9ba48cba5ebcb9b6bd33b92830b2a2e0e192f10a", 16), new BigInteger("c39c6c3b3a36d7701b9c71a1f5804ae5d0003f4", 16), new ScalarSplitParameters( new BigInteger[] { new BigInteger("9162fbe73984472a0a9e", 16), new BigInteger("-96341f1138933bc2f505", 16) }, new BigInteger[] { new BigInteger("127971af8721782ecffa3", 16), new BigInteger("9162fbe73984472a0a9e", 16) }, new BigInteger("9162fbe73984472a0a9d0590", 16), new BigInteger("96341f1138933bc2f503fd44", 16), 176)); ECCurve curve = configureCurveGLV(new ECCurve.Fp(p, a, b, n, h), glv); X9ECPoint G = configureBasepoint(curve, "043B4C382CE37AA192A4019E763036F4F5DD4D7EBB938CF935318FDCED6BC28286531733C3F03C4FEE"); return new X9ECParameters(curve, G, n, h, S); } }; /* * secp160r1 */ static X9ECParametersHolder secp160r1 = new X9ECParametersHolder() { protected X9ECParameters createParameters() { // p = 2^160 - 2^31 - 1 BigInteger p = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF"); BigInteger a = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC"); BigInteger b = fromHex("1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45"); byte[] S = Hex.decodeStrict("1053CDE42C14D696E67687561517533BF3F83345"); BigInteger n = fromHex("0100000000000000000001F4C8F927AED3CA752257"); BigInteger h = BigInteger.valueOf(1); ECCurve curve = configureCurve(new ECCurve.Fp(p, a, b, n, h)); X9ECPoint G = configureBasepoint(curve, "044A96B5688EF573284664698968C38BB913CBFC8223A628553168947D59DCC912042351377AC5FB32"); return new X9ECParameters(curve, G, n, h, S); } }; /* * secp160r2 */ static X9ECParametersHolder secp160r2 = new X9ECParametersHolder() { protected X9ECParameters createParameters() { // p = 2^160 - 2^32 - 2^14 - 2^12 - 2^9 - 2^8 - 2^7 - 2^3 - 2^2 - 1 BigInteger p = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73"); BigInteger a = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC70"); BigInteger b = fromHex("B4E134D3FB59EB8BAB57274904664D5AF50388BA"); byte[] S = Hex.decodeStrict("B99B99B099B323E02709A4D696E6768756151751"); BigInteger n = fromHex("0100000000000000000000351EE786A818F3A1A16B"); BigInteger h = BigInteger.valueOf(1); ECCurve curve = configureCurve(new ECCurve.Fp(p, a, b, n, h)); X9ECPoint G = configureBasepoint(curve, "0452DCB034293A117E1F4FF11B30F7199D3144CE6DFEAFFEF2E331F296E071FA0DF9982CFEA7D43F2E"); return new X9ECParameters(curve, G, n, h, S); } }; /* * secp192k1 */ static X9ECParametersHolder secp192k1 = new X9ECParametersHolder() { protected X9ECParameters createParameters() { // p = 2^192 - 2^32 - 2^12 - 2^8 - 2^7 - 2^6 - 2^3 - 1 BigInteger p = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFEE37"); BigInteger a = ECConstants.ZERO; BigInteger b = BigInteger.valueOf(3); byte[] S = null; BigInteger n = fromHex("FFFFFFFFFFFFFFFFFFFFFFFE26F2FC170F69466A74DEFD8D"); BigInteger h = BigInteger.valueOf(1); GLVTypeBParameters glv = new GLVTypeBParameters( new BigInteger("bb85691939b869c1d087f601554b96b80cb4f55b35f433c2", 16), new BigInteger("3d84f26c12238d7b4f3d516613c1759033b1a5800175d0b1", 16), new ScalarSplitParameters( new BigInteger[] { new BigInteger("71169be7330b3038edb025f1", 16), new BigInteger("-b3fb3400dec5c4adceb8655c", 16) }, new BigInteger[] { new BigInteger("12511cfe811d0f4e6bc688b4d", 16), new BigInteger("71169be7330b3038edb025f1", 16) }, new BigInteger("71169be7330b3038edb025f1d0f9", 16), new BigInteger("b3fb3400dec5c4adceb8655d4c94", 16), 208)); ECCurve curve = configureCurveGLV(new ECCurve.Fp(p, a, b, n, h), glv); X9ECPoint G = configureBasepoint(curve, "04DB4FF10EC057E9AE26B07D0280B7F4341DA5D1B1EAE06C7D9B2F2F6D9C5628A7844163D015BE86344082AA88D95E2F9D"); return new X9ECParameters(curve, G, n, h, S); } }; /* * secp192r1 */ static X9ECParametersHolder secp192r1 = new X9ECParametersHolder() { protected X9ECParameters createParameters() { // p = 2^192 - 2^64 - 1 BigInteger p = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF"); BigInteger a = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC"); BigInteger b = fromHex("64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1"); byte[] S = Hex.decodeStrict("3045AE6FC8422F64ED579528D38120EAE12196D5"); BigInteger n = fromHex("FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831"); BigInteger h = BigInteger.valueOf(1); ECCurve curve = configureCurve(new ECCurve.Fp(p, a, b, n, h)); X9ECPoint G = configureBasepoint(curve, "04188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF101207192B95FFC8DA78631011ED6B24CDD573F977A11E794811"); return new X9ECParameters(curve, G, n, h, S); } }; /* * secp224k1 */ static X9ECParametersHolder secp224k1 = new X9ECParametersHolder() { protected X9ECParameters createParameters() { // p = 2^224 - 2^32 - 2^12 - 2^11 - 2^9 - 2^7 - 2^4 - 2 - 1 BigInteger p = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFE56D"); BigInteger a = ECConstants.ZERO; BigInteger b = BigInteger.valueOf(5); byte[] S = null; BigInteger n = fromHex("010000000000000000000000000001DCE8D2EC6184CAF0A971769FB1F7"); BigInteger h = BigInteger.valueOf(1); GLVTypeBParameters glv = new GLVTypeBParameters( new BigInteger("fe0e87005b4e83761908c5131d552a850b3f58b749c37cf5b84d6768", 16), new BigInteger("60dcd2104c4cbc0be6eeefc2bdd610739ec34e317f9b33046c9e4788", 16), new ScalarSplitParameters( new BigInteger[] { new BigInteger("6b8cf07d4ca75c88957d9d670591", 16), new BigInteger("-b8adf1378a6eb73409fa6c9c637d", 16) }, new BigInteger[] { new BigInteger("1243ae1b4d71613bc9f780a03690e", 16), new BigInteger("6b8cf07d4ca75c88957d9d670591", 16) }, new BigInteger("6b8cf07d4ca75c88957d9d67059037a4", 16), new BigInteger("b8adf1378a6eb73409fa6c9c637ba7f5", 16), 240)); ECCurve curve = configureCurveGLV(new ECCurve.Fp(p, a, b, n, h), glv); X9ECPoint G = configureBasepoint(curve, "04A1455B334DF099DF30FC28A169A467E9E47075A90F7E650EB6B7A45C7E089FED7FBA344282CAFBD6F7E319F7C0B0BD59E2CA4BDB556D61A5"); return new X9ECParameters(curve, G, n, h, S); } }; /* * secp224r1 */ static X9ECParametersHolder secp224r1 = new X9ECParametersHolder() { protected X9ECParameters createParameters() { // p = 2^224 - 2^96 + 1 BigInteger p = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001"); BigInteger a = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE"); BigInteger b = fromHex("B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4"); byte[] S = Hex.decodeStrict("BD71344799D5C7FCDC45B59FA3B9AB8F6A948BC5"); BigInteger n = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D"); BigInteger h = BigInteger.valueOf(1); ECCurve curve = configureCurve(new ECCurve.Fp(p, a, b, n, h)); X9ECPoint G = configureBasepoint(curve, "04B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34"); return new X9ECParameters(curve, G, n, h, S); } }; /* * secp256k1 */ static X9ECParametersHolder secp256k1 = new X9ECParametersHolder() { protected X9ECParameters createParameters() { // p = 2^256 - 2^32 - 2^9 - 2^8 - 2^7 - 2^6 - 2^4 - 1 BigInteger p = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F"); BigInteger a = ECConstants.ZERO; BigInteger b = BigInteger.valueOf(7); byte[] S = null; BigInteger n = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141"); BigInteger h = BigInteger.valueOf(1); GLVTypeBParameters glv = new GLVTypeBParameters( new BigInteger("7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee", 16), new BigInteger("5363ad4cc05c30e0a5261c028812645a122e22ea20816678df02967c1b23bd72", 16), new ScalarSplitParameters( new BigInteger[] { new BigInteger("3086d221a7d46bcde86c90e49284eb15", 16), new BigInteger("-e4437ed6010e88286f547fa90abfe4c3", 16) }, new BigInteger[] { new BigInteger("114ca50f7a8e2f3f657c1108d9d44cfd8", 16), new BigInteger("3086d221a7d46bcde86c90e49284eb15", 16) }, new BigInteger("3086d221a7d46bcde86c90e49284eb153dab", 16), new BigInteger("e4437ed6010e88286f547fa90abfe4c42212", 16), 272)); ECCurve curve = configureCurveGLV(new ECCurve.Fp(p, a, b, n, h), glv); X9ECPoint G = configureBasepoint(curve, "0479BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8"); return new X9ECParameters(curve, G, n, h, S); } }; /* * secp256r1 */ static X9ECParametersHolder secp256r1 = new X9ECParametersHolder() { protected X9ECParameters createParameters() { // p = 2^224 (2^32 - 1) + 2^192 + 2^96 - 1 BigInteger p = fromHex("FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF"); BigInteger a = fromHex("FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC"); BigInteger b = fromHex("5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B"); byte[] S = Hex.decodeStrict("C49D360886E704936A6678E1139D26B7819F7E90"); BigInteger n = fromHex("FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551"); BigInteger h = BigInteger.valueOf(1); ECCurve curve = configureCurve(new ECCurve.Fp(p, a, b, n, h)); X9ECPoint G = configureBasepoint(curve, "046B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C2964FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5"); return new X9ECParameters(curve, G, n, h, S); } }; /* * secp384r1 */ static X9ECParametersHolder secp384r1 = new X9ECParametersHolder() { protected X9ECParameters createParameters() { // p = 2^384 - 2^128 - 2^96 + 2^32 - 1 BigInteger p = fromHex( "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF"); BigInteger a = fromHex( "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC"); BigInteger b = fromHex( "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF"); byte[] S = Hex.decodeStrict("A335926AA319A27A1D00896A6773A4827ACDAC73"); BigInteger n = fromHex( "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973"); BigInteger h = BigInteger.valueOf(1); ECCurve curve = configureCurve(new ECCurve.Fp(p, a, b, n, h)); X9ECPoint G = configureBasepoint(curve, "04" + "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B9859F741E082542A385502F25DBF55296C3A545E3872760AB7" + "3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A147CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F"); return new X9ECParameters(curve, G, n, h, S); } }; /* * secp521r1 */ static X9ECParametersHolder secp521r1 = new X9ECParametersHolder() { protected X9ECParameters createParameters() { // p = 2^521 - 1 BigInteger p = fromHex( "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"); BigInteger a = fromHex( "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC"); BigInteger b = fromHex( "0051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573DF883D2C34F1EF451FD46B503F00"); byte[] S = Hex.decodeStrict("D09E8800291CB85396CC6717393284AAA0DA64BA"); BigInteger n = fromHex( "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E91386409"); BigInteger h = BigInteger.valueOf(1); ECCurve curve = configureCurve(new ECCurve.Fp(p, a, b, n, h)); X9ECPoint G = configureBasepoint(curve, "04" + "00C6858E06B70404E9CD9E3ECB662395B4429C648139053FB521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B3C1856A429BF97E7E31C2E5BD66" + "011839296A789A3BC0045C8A5FB42C7D1BD998F54449579B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C7086A272C24088BE94769FD16650"); return new X9ECParameters(curve, G, n, h, S); } }; /* * sect113r1 */ static X9ECParametersHolder sect113r1 = new X9ECParametersHolder() { protected X9ECParameters createParameters() { int m = 113; int k = 9; BigInteger a = fromHex("003088250CA6E7C7FE649CE85820F7"); BigInteger b = fromHex("00E8BEE4D3E2260744188BE0E9C723"); byte[] S = Hex.decodeStrict("10E723AB14D696E6768756151756FEBF8FCB49A9"); BigInteger n = fromHex("0100000000000000D9CCEC8A39E56F"); BigInteger h = BigInteger.valueOf(2); ECCurve curve = configureCurve(new ECCurve.F2m(m, k, a, b, n, h)); X9ECPoint G = configureBasepoint(curve, "04009D73616F35F4AB1407D73562C10F00A52830277958EE84D1315ED31886"); return new X9ECParameters(curve, G, n, h, S); } }; /* * sect113r2 */ static X9ECParametersHolder sect113r2 = new X9ECParametersHolder() { protected X9ECParameters createParameters() { int m = 113; int k = 9; BigInteger a = fromHex("00689918DBEC7E5A0DD6DFC0AA55C7"); BigInteger b = fromHex("0095E9A9EC9B297BD4BF36E059184F"); byte[] S = Hex.decodeStrict("10C0FB15760860DEF1EEF4D696E676875615175D"); BigInteger n = fromHex("010000000000000108789B2496AF93"); BigInteger h = BigInteger.valueOf(2); ECCurve curve = configureCurve(new ECCurve.F2m(m, k, a, b, n, h)); X9ECPoint G = configureBasepoint(curve, "0401A57A6A7B26CA5EF52FCDB816479700B3ADC94ED1FE674C06E695BABA1D"); return new X9ECParameters(curve, G, n, h, S); } }; /* * sect131r1 */ static X9ECParametersHolder sect131r1 = new X9ECParametersHolder() { protected X9ECParameters createParameters() { int m = 131; int k1 = 2; int k2 = 3; int k3 = 8; BigInteger a = fromHex("07A11B09A76B562144418FF3FF8C2570B8"); BigInteger b = fromHex("0217C05610884B63B9C6C7291678F9D341"); byte[] S = Hex.decodeStrict("4D696E676875615175985BD3ADBADA21B43A97E2"); BigInteger n = fromHex("0400000000000000023123953A9464B54D"); BigInteger h = BigInteger.valueOf(2); ECCurve curve = configureCurve(new ECCurve.F2m(m, k1, k2, k3, a, b, n, h)); X9ECPoint G = configureBasepoint(curve, "040081BAF91FDF9833C40F9C181343638399078C6E7EA38C001F73C8134B1B4EF9E150"); return new X9ECParameters(curve, G, n, h, S); } }; /* * sect131r2 */ static X9ECParametersHolder sect131r2 = new X9ECParametersHolder() { protected X9ECParameters createParameters() { int m = 131; int k1 = 2; int k2 = 3; int k3 = 8; BigInteger a = fromHex("03E5A88919D7CAFCBF415F07C2176573B2"); BigInteger b = fromHex("04B8266A46C55657AC734CE38F018F2192"); byte[] S = Hex.decodeStrict("985BD3ADBAD4D696E676875615175A21B43A97E3"); BigInteger n = fromHex("0400000000000000016954A233049BA98F"); BigInteger h = BigInteger.valueOf(2); ECCurve curve = configureCurve(new ECCurve.F2m(m, k1, k2, k3, a, b, n, h)); X9ECPoint G = configureBasepoint(curve, "040356DCD8F2F95031AD652D23951BB366A80648F06D867940A5366D9E265DE9EB240F"); return new X9ECParameters(curve, G, n, h, S); } }; /* * sect163k1 */ static X9ECParametersHolder sect163k1 = new X9ECParametersHolder() { protected X9ECParameters createParameters() { int m = 163; int k1 = 3; int k2 = 6; int k3 = 7; BigInteger a = BigInteger.valueOf(1); BigInteger b = BigInteger.valueOf(1); byte[] S = null; BigInteger n = fromHex("04000000000000000000020108A2E0CC0D99F8A5EF"); BigInteger h = BigInteger.valueOf(2); ECCurve curve = configureCurve(new ECCurve.F2m(m, k1, k2, k3, a, b, n, h)); X9ECPoint G = configureBasepoint(curve, "0402FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE80289070FB05D38FF58321F2E800536D538CCDAA3D9"); return new X9ECParameters(curve, G, n, h, S); } }; /* * sect163r1 */ static X9ECParametersHolder sect163r1 = new X9ECParametersHolder() { protected X9ECParameters createParameters() { int m = 163; int k1 = 3; int k2 = 6; int k3 = 7; BigInteger a = fromHex("07B6882CAAEFA84F9554FF8428BD88E246D2782AE2"); BigInteger b = fromHex("0713612DCDDCB40AAB946BDA29CA91F73AF958AFD9"); byte[] S = Hex.decodeStrict("24B7B137C8A14D696E6768756151756FD0DA2E5C"); BigInteger n = fromHex("03FFFFFFFFFFFFFFFFFFFF48AAB689C29CA710279B"); BigInteger h = BigInteger.valueOf(2); ECCurve curve = configureCurve(new ECCurve.F2m(m, k1, k2, k3, a, b, n, h)); X9ECPoint G = configureBasepoint(curve, "040369979697AB43897789566789567F787A7876A65400435EDB42EFAFB2989D51FEFCE3C80988F41FF883"); return new X9ECParameters(curve, G, n, h, S); } }; /* * sect163r2 */ static X9ECParametersHolder sect163r2 = new X9ECParametersHolder() { protected X9ECParameters createParameters() { int m = 163; int k1 = 3; int k2 = 6; int k3 = 7; BigInteger a = BigInteger.valueOf(1); BigInteger b = fromHex("020A601907B8C953CA1481EB10512F78744A3205FD"); byte[] S = Hex.decodeStrict("85E25BFE5C86226CDB12016F7553F9D0E693A268"); BigInteger n = fromHex("040000000000000000000292FE77E70C12A4234C33"); BigInteger h = BigInteger.valueOf(2); ECCurve curve = configureCurve(new ECCurve.F2m(m, k1, k2, k3, a, b, n, h)); X9ECPoint G = configureBasepoint(curve, "0403F0EBA16286A2D57EA0991168D4994637E8343E3600D51FBC6C71A0094FA2CDD545B11C5C0C797324F1"); return new X9ECParameters(curve, G, n, h, S); } }; /* * sect193r1 */ static X9ECParametersHolder sect193r1 = new X9ECParametersHolder() { protected X9ECParameters createParameters() { int m = 193; int k = 15; BigInteger a = fromHex("0017858FEB7A98975169E171F77B4087DE098AC8A911DF7B01"); BigInteger b = fromHex("00FDFB49BFE6C3A89FACADAA7A1E5BBC7CC1C2E5D831478814"); byte[] S = Hex.decodeStrict("103FAEC74D696E676875615175777FC5B191EF30"); BigInteger n = fromHex("01000000000000000000000000C7F34A778F443ACC920EBA49"); BigInteger h = BigInteger.valueOf(2); ECCurve curve = configureCurve(new ECCurve.F2m(m, k, a, b, n, h)); X9ECPoint G = configureBasepoint(curve, "0401F481BC5F0FF84A74AD6CDF6FDEF4BF6179625372D8C0C5E10025E399F2903712CCF3EA9E3A1AD17FB0B3201B6AF7CE1B05"); return new X9ECParameters(curve, G, n, h, S); } }; /* * sect193r2 */ static X9ECParametersHolder sect193r2 = new X9ECParametersHolder() { protected X9ECParameters createParameters() { int m = 193; int k = 15; BigInteger a = fromHex("0163F35A5137C2CE3EA6ED8667190B0BC43ECD69977702709B"); BigInteger b = fromHex("00C9BB9E8927D4D64C377E2AB2856A5B16E3EFB7F61D4316AE"); byte[] S = Hex.decodeStrict("10B7B4D696E676875615175137C8A16FD0DA2211"); BigInteger n = fromHex("010000000000000000000000015AAB561B005413CCD4EE99D5"); BigInteger h = BigInteger.valueOf(2); ECCurve curve = configureCurve(new ECCurve.F2m(m, k, a, b, n, h)); X9ECPoint G = configureBasepoint(curve, "0400D9B67D192E0367C803F39E1A7E82CA14A651350AAE617E8F01CE94335607C304AC29E7DEFBD9CA01F596F927224CDECF6C"); return new X9ECParameters(curve, G, n, h, S); } }; /* * sect233k1 */ static X9ECParametersHolder sect233k1 = new X9ECParametersHolder() { protected X9ECParameters createParameters() { int m = 233; int k = 74; BigInteger a = ECConstants.ZERO; BigInteger b = BigInteger.valueOf(1); byte[] S = null; BigInteger n = fromHex("8000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF"); BigInteger h = BigInteger.valueOf(4); ECCurve curve = configureCurve(new ECCurve.F2m(m, k, a, b, n, h)); X9ECPoint G = configureBasepoint(curve, "04017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD612601DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3"); return new X9ECParameters(curve, G, n, h, S); } }; /* * sect233r1 */ static X9ECParametersHolder sect233r1 = new X9ECParametersHolder() { protected X9ECParameters createParameters() { int m = 233; int k = 74; BigInteger a = BigInteger.valueOf(1); BigInteger b = fromHex("0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD"); byte[] S = Hex.decodeStrict("74D59FF07F6B413D0EA14B344B20A2DB049B50C3"); BigInteger n = fromHex("01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7"); BigInteger h = BigInteger.valueOf(2); ECCurve curve = configureCurve(new ECCurve.F2m(m, k, a, b, n, h)); X9ECPoint G = configureBasepoint(curve, "0400FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052"); return new X9ECParameters(curve, G, n, h, S); } }; /* * sect239k1 */ static X9ECParametersHolder sect239k1 = new X9ECParametersHolder() { protected X9ECParameters createParameters() { int m = 239; int k = 158; BigInteger a = ECConstants.ZERO; BigInteger b = BigInteger.valueOf(1); byte[] S = null; BigInteger n = fromHex("2000000000000000000000000000005A79FEC67CB6E91F1C1DA800E478A5"); BigInteger h = BigInteger.valueOf(4); ECCurve curve = configureCurve(new ECCurve.F2m(m, k, a, b, n, h)); X9ECPoint G = configureBasepoint(curve, "0429A0B6A887A983E9730988A68727A8B2D126C44CC2CC7B2A6555193035DC76310804F12E549BDB011C103089E73510ACB275FC312A5DC6B76553F0CA"); return new X9ECParameters(curve, G, n, h, S); } }; /* * sect283k1 */ static X9ECParametersHolder sect283k1 = new X9ECParametersHolder() { protected X9ECParameters createParameters() { int m = 283; int k1 = 5; int k2 = 7; int k3 = 12; BigInteger a = ECConstants.ZERO; BigInteger b = BigInteger.valueOf(1); byte[] S = null; BigInteger n = fromHex("01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61"); BigInteger h = BigInteger.valueOf(4); ECCurve curve = configureCurve(new ECCurve.F2m(m, k1, k2, k3, a, b, n, h)); X9ECPoint G = configureBasepoint(curve, "04" + "0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836" + "01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259"); return new X9ECParameters(curve, G, n, h, S); } }; /* * sect283r1 */ static X9ECParametersHolder sect283r1 = new X9ECParametersHolder() { protected X9ECParameters createParameters() { int m = 283; int k1 = 5; int k2 = 7; int k3 = 12; BigInteger a = BigInteger.valueOf(1); BigInteger b = fromHex("027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5"); byte[] S = Hex.decodeStrict("77E2B07370EB0F832A6DD5B62DFC88CD06BB84BE"); BigInteger n = fromHex("03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307"); BigInteger h = BigInteger.valueOf(2); ECCurve curve = configureCurve(new ECCurve.F2m(m, k1, k2, k3, a, b, n, h)); X9ECPoint G = configureBasepoint(curve, "04" + "05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053" + "03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4"); return new X9ECParameters(curve, G, n, h, S); } }; /* * sect409k1 */ static X9ECParametersHolder sect409k1 = new X9ECParametersHolder() { protected X9ECParameters createParameters() { int m = 409; int k = 87; BigInteger a = ECConstants.ZERO; BigInteger b = BigInteger.valueOf(1); byte[] S = null; BigInteger n = fromHex( "7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF"); BigInteger h = BigInteger.valueOf(4); ECCurve curve = configureCurve(new ECCurve.F2m(m, k, a, b, n, h)); X9ECPoint G = configureBasepoint(curve, "04" + "0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746" + "01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B"); return new X9ECParameters(curve, G, n, h, S); } }; /* * sect409r1 */ static X9ECParametersHolder sect409r1 = new X9ECParametersHolder() { protected X9ECParameters createParameters() { int m = 409; int k = 87; BigInteger a = BigInteger.valueOf(1); BigInteger b = fromHex( "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F"); byte[] S = Hex.decodeStrict("4099B5A457F9D69F79213D094C4BCD4D4262210B"); BigInteger n = fromHex( "010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173"); BigInteger h = BigInteger.valueOf(2); ECCurve curve = configureCurve(new ECCurve.F2m(m, k, a, b, n, h)); X9ECPoint G = configureBasepoint(curve, "04" + "015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7" + "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706"); return new X9ECParameters(curve, G, n, h, S); } }; /* * sect571k1 */ static X9ECParametersHolder sect571k1 = new X9ECParametersHolder() { protected X9ECParameters createParameters() { int m = 571; int k1 = 2; int k2 = 5; int k3 = 10; BigInteger a = ECConstants.ZERO; BigInteger b = BigInteger.valueOf(1); byte[] S = null; BigInteger n = fromHex( "020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001"); BigInteger h = BigInteger.valueOf(4); ECCurve curve = configureCurve(new ECCurve.F2m(m, k1, k2, k3, a, b, n, h)); X9ECPoint G = configureBasepoint(curve, "04" + "026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972" + "0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3"); return new X9ECParameters(curve, G, n, h, S); } }; /* * sect571r1 */ static X9ECParametersHolder sect571r1 = new X9ECParametersHolder() { protected X9ECParameters createParameters() { int m = 571; int k1 = 2; int k2 = 5; int k3 = 10; BigInteger a = BigInteger.valueOf(1); BigInteger b = fromHex( "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A"); byte[] S = Hex.decodeStrict("2AA058F73A0E33AB486B0F610410C53A7F132310"); BigInteger n = fromHex( "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47"); BigInteger h = BigInteger.valueOf(2); ECCurve curve = configureCurve(new ECCurve.F2m(m, k1, k2, k3, a, b, n, h)); X9ECPoint G = configureBasepoint(curve, "04" + "0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19" + "037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B"); return new X9ECParameters(curve, G, n, h, S); } }; static final Hashtable objIds = new Hashtable(); static final Hashtable curves = new Hashtable(); static final Hashtable names = new Hashtable(); static void defineCurve(String name, ASN1ObjectIdentifier oid, X9ECParametersHolder holder) { objIds.put(name, oid); names.put(oid, name); curves.put(oid, holder); } static { defineCurve("secp112r1", SECObjectIdentifiers.secp112r1, secp112r1); defineCurve("secp112r2", SECObjectIdentifiers.secp112r2, secp112r2); defineCurve("secp128r1", SECObjectIdentifiers.secp128r1, secp128r1); defineCurve("secp128r2", SECObjectIdentifiers.secp128r2, secp128r2); defineCurve("secp160k1", SECObjectIdentifiers.secp160k1, secp160k1); defineCurve("secp160r1", SECObjectIdentifiers.secp160r1, secp160r1); defineCurve("secp160r2", SECObjectIdentifiers.secp160r2, secp160r2); defineCurve("secp192k1", SECObjectIdentifiers.secp192k1, secp192k1); defineCurve("secp192r1", SECObjectIdentifiers.secp192r1, secp192r1); defineCurve("secp224k1", SECObjectIdentifiers.secp224k1, secp224k1); defineCurve("secp224r1", SECObjectIdentifiers.secp224r1, secp224r1); defineCurve("secp256k1", SECObjectIdentifiers.secp256k1, secp256k1); defineCurve("secp256r1", SECObjectIdentifiers.secp256r1, secp256r1); defineCurve("secp384r1", SECObjectIdentifiers.secp384r1, secp384r1); defineCurve("secp521r1", SECObjectIdentifiers.secp521r1, secp521r1); defineCurve("sect113r1", SECObjectIdentifiers.sect113r1, sect113r1); defineCurve("sect113r2", SECObjectIdentifiers.sect113r2, sect113r2); defineCurve("sect131r1", SECObjectIdentifiers.sect131r1, sect131r1); defineCurve("sect131r2", SECObjectIdentifiers.sect131r2, sect131r2); defineCurve("sect163k1", SECObjectIdentifiers.sect163k1, sect163k1); defineCurve("sect163r1", SECObjectIdentifiers.sect163r1, sect163r1); defineCurve("sect163r2", SECObjectIdentifiers.sect163r2, sect163r2); defineCurve("sect193r1", SECObjectIdentifiers.sect193r1, sect193r1); defineCurve("sect193r2", SECObjectIdentifiers.sect193r2, sect193r2); defineCurve("sect233k1", SECObjectIdentifiers.sect233k1, sect233k1); defineCurve("sect233r1", SECObjectIdentifiers.sect233r1, sect233r1); defineCurve("sect239k1", SECObjectIdentifiers.sect239k1, sect239k1); defineCurve("sect283k1", SECObjectIdentifiers.sect283k1, sect283k1); defineCurve("sect283r1", SECObjectIdentifiers.sect283r1, sect283r1); defineCurve("sect409k1", SECObjectIdentifiers.sect409k1, sect409k1); defineCurve("sect409r1", SECObjectIdentifiers.sect409r1, sect409r1); defineCurve("sect571k1", SECObjectIdentifiers.sect571k1, sect571k1); defineCurve("sect571r1", SECObjectIdentifiers.sect571r1, sect571r1); } public static X9ECParameters getByName(String name) { ASN1ObjectIdentifier oid = getOID(name); return oid == null ? null : getByOID(oid); } /** * return the X9ECParameters object for the named curve represented by * the passed in object identifier. Null if the curve isn't present. * * @param oid an object identifier representing a named curve, if present. */ public static X9ECParameters getByOID(ASN1ObjectIdentifier oid) { X9ECParametersHolder holder = (X9ECParametersHolder) curves.get(oid); return holder == null ? null : holder.getParameters(); } /** * return the object identifier signified by the passed in name. Null * if there is no object identifier associated with name. * * @return the object identifier associated with name, if present. */ public static ASN1ObjectIdentifier getOID(String name) { return (ASN1ObjectIdentifier) objIds.get(Strings.toLowerCase(name)); } /** * return the named curve name represented by the given object identifier. */ public static String getName(ASN1ObjectIdentifier oid) { return (String) names.get(oid); } /** * returns an enumeration containing the name strings for curves * contained in this structure. */ public static Enumeration getNames() { return names.elements(); } }