secnamedcurves.java

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package org.bouncycastle.asn1.sec;

import org.bouncycastle.asn1.DERObjectIdentifier;
import org.bouncycastle.asn1.x9.X9ECParameters;
import org.bouncycastle.asn1.x9.X9ECParametersHolder;
import org.bouncycastle.math.ec.ECCurve;
import org.bouncycastle.math.ec.ECPoint;
import org.bouncycastle.math.ec.ECConstants;
import org.bouncycastle.util.Strings;
import org.bouncycastle.util.encoders.Hex;

import java.math.BigInteger;
import java.util.Enumeration;
import java.util.Hashtable;

public class SECNamedCurves
{
    private static BigInteger fromHex(
        String hex)
    {
        return new BigInteger(1, Hex.decode(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.decode("00F50B028E4D696E676875615175290472783FB1");
            BigInteger n = fromHex("DB7C2ABF62E35E7628DFAC6561C5");
            BigInteger h = BigInteger.valueOf(1);

            ECCurve curve = new ECCurve.Fp(p, a, b);
            //ECPoint G = curve.decodePoint(Hex.decode("02"
            //+ "09487239995A5EE76B55F9C2F098"));
            ECPoint G = curve.decodePoint(Hex.decode("04"
                + "09487239995A5EE76B55F9C2F098"
                + "A89CE5AF8724C0A23E0E0FF77500"));

            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.decode("002757A1114D696E6768756151755316C05E0BD4");
            BigInteger n = fromHex("36DF0AAFD8B8D7597CA10520D04B");
            BigInteger h = BigInteger.valueOf(4);

            ECCurve curve = new ECCurve.Fp(p, a, b);
            //ECPoint G = curve.decodePoint(Hex.decode("03"
            //+ "4BA30AB5E892B4E1649DD0928643"));
            ECPoint G = curve.decodePoint(Hex.decode("04"
                + "4BA30AB5E892B4E1649DD0928643"
                + "ADCD46F5882E3747DEF36E956E97"));

            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.decode("000E0D4D696E6768756151750CC03A4473D03679");
            BigInteger n = fromHex("FFFFFFFE0000000075A30D1B9038A115");
            BigInteger h = BigInteger.valueOf(1);

            ECCurve curve = new ECCurve.Fp(p, a, b);
            //ECPoint G = curve.decodePoint(Hex.decode("03"
            //+ "161FF7528B899B2D0C28607CA52C5B86"));
            ECPoint G = curve.decodePoint(Hex.decode("04"
                + "161FF7528B899B2D0C28607CA52C5B86"
                + "CF5AC8395BAFEB13C02DA292DDED7A83"));

            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.decode("004D696E67687561517512D8F03431FCE63B88F4");
            BigInteger n = fromHex("3FFFFFFF7FFFFFFFBE0024720613B5A3");
            BigInteger h = BigInteger.valueOf(4);

            ECCurve curve = new ECCurve.Fp(p, a, b);
            //ECPoint G = curve.decodePoint(Hex.decode("02"
            //+ "7B6AA5D85E572983E6FB32A7CDEBC140"));
            ECPoint G = curve.decodePoint(Hex.decode("04"
                + "7B6AA5D85E572983E6FB32A7CDEBC140"
                + "27B6916A894D3AEE7106FE805FC34B44"));

            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);

            ECCurve curve = new ECCurve.Fp(p, a, b);
//            ECPoint G = curve.decodePoint(Hex.decode("02"
//                + "3B4C382CE37AA192A4019E763036F4F5DD4D7EBB"));
            ECPoint G = curve.decodePoint(Hex.decode("04"
                + "3B4C382CE37AA192A4019E763036F4F5DD4D7EBB"
                + "938CF935318FDCED6BC28286531733C3F03C4FEE"));

            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.decode("1053CDE42C14D696E67687561517533BF3F83345");
            BigInteger n = fromHex("0100000000000000000001F4C8F927AED3CA752257");
            BigInteger h = BigInteger.valueOf(1);

            ECCurve curve = new ECCurve.Fp(p, a, b);
            //ECPoint G = curve.decodePoint(Hex.decode("02"
                //+ "4A96B5688EF573284664698968C38BB913CBFC82"));
            ECPoint G = curve.decodePoint(Hex.decode("04"
                + "4A96B5688EF573284664698968C38BB913CBFC82"
                + "23A628553168947D59DCC912042351377AC5FB32"));

            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.decode("B99B99B099B323E02709A4D696E6768756151751");
            BigInteger n = fromHex("0100000000000000000000351EE786A818F3A1A16B");
            BigInteger h = BigInteger.valueOf(1);

            ECCurve curve = new ECCurve.Fp(p, a, b);
            //ECPoint G = curve.decodePoint(Hex.decode("02"
            //+ "52DCB034293A117E1F4FF11B30F7199D3144CE6D"));
            ECPoint G = curve.decodePoint(Hex.decode("04"
                + "52DCB034293A117E1F4FF11B30F7199D3144CE6D"
                + "FEAFFEF2E331F296E071FA0DF9982CFEA7D43F2E"));

            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);

            ECCurve curve = new ECCurve.Fp(p, a, b);
            //ECPoint G = curve.decodePoint(Hex.decode("03"
            //+ "DB4FF10EC057E9AE26B07D0280B7F4341DA5D1B1EAE06C7D"));
            ECPoint G = curve.decodePoint(Hex.decode("04"
                + "DB4FF10EC057E9AE26B07D0280B7F4341DA5D1B1EAE06C7D"
                + "9B2F2F6D9C5628A7844163D015BE86344082AA88D95E2F9D"));

            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.decode("3045AE6FC8422F64ED579528D38120EAE12196D5");
            BigInteger n = fromHex("FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831");
            BigInteger h = BigInteger.valueOf(1);

            ECCurve curve = new ECCurve.Fp(p, a, b);
            //ECPoint G = curve.decodePoint(Hex.decode("03"
            //+ "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012"));
            ECPoint G = curve.decodePoint(Hex.decode("04"
                + "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012"
                + "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811"));

            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);

            ECCurve curve = new ECCurve.Fp(p, a, b);
            //ECPoint G = curve.decodePoint(Hex.decode("03"
            //+ "A1455B334DF099DF30FC28A169A467E9E47075A90F7E650EB6B7A45C"));
            ECPoint G = curve.decodePoint(Hex.decode("04"
                + "A1455B334DF099DF30FC28A169A467E9E47075A90F7E650EB6B7A45C"
                + "7E089FED7FBA344282CAFBD6F7E319F7C0B0BD59E2CA4BDB556D61A5"));

            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.decode("BD71344799D5C7FCDC45B59FA3B9AB8F6A948BC5");
            BigInteger n = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D");
            BigInteger h = BigInteger.valueOf(1);

            ECCurve curve = new ECCurve.Fp(p, a, b);
            //ECPoint G = curve.decodePoint(Hex.decode("02"
            //+ "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21"));
            ECPoint G = curve.decodePoint(Hex.decode("04"
                + "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21"
                + "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34"));

            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);

            ECCurve curve = new ECCurve.Fp(p, a, b);
            //ECPoint G = curve.decodePoint(Hex.decode("02"
            //+ "79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798"));
            ECPoint G = curve.decodePoint(Hex.decode("04"
                + "79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798"
                + "483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8"));

            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");