public GlvTypeBEndomorphism(ECCurve curve, GlvTypeBParameters parameters)
{
/*
* NOTE: 'curve' MUST only be used to create a suitable ECFieldElement. Due to the way
* ECCurve configuration works, 'curve' will not be the actual instance of ECCurve that the
* endomorphism is being used with.
*/
this.m_parameters = parameters;
this.m_pointMap = new ScaleXPointMap(curve.FromBigInteger(parameters.Beta));
}
public GlvTypeBEndomorphism(ECCurve curve, GlvTypeBParameters parameters)
{
this.m_curve = curve;
this.m_parameters = parameters;
this.m_pointMap = new ScaleXPointMap(curve.FromBigInteger(parameters.Beta));
}
protected override X9ECParameters CreateParameters()
{
// p = 2^256 - 2^32 - 2^9 - 2^8 - 2^7 - 2^6 - 2^4 - 1
BigInteger p = FromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F");
BigInteger a = BigInteger.Zero;
BigInteger b = BigInteger.ValueOf(7);
byte[] S = null;
BigInteger n = FromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141");
BigInteger h = BigInteger.One;
GlvTypeBParameters glv = new GlvTypeBParameters(
new BigInteger("7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee", 16),
new BigInteger("5363ad4cc05c30e0a5261c028812645a122e22ea20816678df02967c1b23bd72", 16),
new BigInteger[]{
new BigInteger("3086d221a7d46bcde86c90e49284eb15", 16),
new BigInteger("-e4437ed6010e88286f547fa90abfe4c3", 16) },
new BigInteger[]{
new BigInteger("114ca50f7a8e2f3f657c1108d9d44cfd8", 16),
new BigInteger("3086d221a7d46bcde86c90e49284eb15", 16) },
new BigInteger("c21b48869f51af37a1b243924a13ac55", 16),
new BigInteger("3910dfb58043a20a1bd51fea42aff9311", 16),
258);
ECCurve curve = ConfigureCurveGlv(new FpCurve(p, a, b, n, h), glv);
//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);
}
protected override 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 = BigInteger.Zero;
BigInteger b = BigInteger.ValueOf(5);
byte[] S = null;
BigInteger n = FromHex("010000000000000000000000000001DCE8D2EC6184CAF0A971769FB1F7");
BigInteger h = BigInteger.One;
GlvTypeBParameters glv = new GlvTypeBParameters(
new BigInteger("fe0e87005b4e83761908c5131d552a850b3f58b749c37cf5b84d6768", 16),
new BigInteger("60dcd2104c4cbc0be6eeefc2bdd610739ec34e317f9b33046c9e4788", 16),
new BigInteger[]{
new BigInteger("6b8cf07d4ca75c88957d9d670591", 16),
new BigInteger("-b8adf1378a6eb73409fa6c9c637d", 16) },
new BigInteger[]{
new BigInteger("1243ae1b4d71613bc9f780a03690e", 16),
new BigInteger("6b8cf07d4ca75c88957d9d670591", 16) },
new BigInteger("35c6783ea653ae444abeceb382c82", 16),
new BigInteger("5c56f89bc5375b9a04fd364e31bdd", 16),
227);
ECCurve curve = ConfigureCurveGlv(new FpCurve(p, a, b, n, h), glv);
//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);
}
protected override X9ECParameters CreateParameters()
{
// p = 2^192 - 2^32 - 2^12 - 2^8 - 2^7 - 2^6 - 2^3 - 1
BigInteger p = FromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFEE37");
BigInteger a = BigInteger.Zero;
BigInteger b = BigInteger.ValueOf(3);
byte[] S = null;
BigInteger n = FromHex("FFFFFFFFFFFFFFFFFFFFFFFE26F2FC170F69466A74DEFD8D");
BigInteger h = BigInteger.One;
GlvTypeBParameters glv = new GlvTypeBParameters(
new BigInteger("bb85691939b869c1d087f601554b96b80cb4f55b35f433c2", 16),
new BigInteger("3d84f26c12238d7b4f3d516613c1759033b1a5800175d0b1", 16),
new BigInteger[]{
new BigInteger("71169be7330b3038edb025f1", 16),
new BigInteger("-b3fb3400dec5c4adceb8655c", 16) },
new BigInteger[]{
new BigInteger("12511cfe811d0f4e6bc688b4d", 16),
new BigInteger("71169be7330b3038edb025f1", 16) },
new BigInteger("1c45a6f9ccc2cc0e3b6c097c7", 16),
new BigInteger("2cfecd0037b1712b73ae19575", 16),
194);
ECCurve curve = ConfigureCurveGlv(new FpCurve(p, a, b, n, h), glv);
//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);
}
private static ECCurve ConfigureCurveGlv(ECCurve c, GlvTypeBParameters p)
{
return c.Configure().SetEndomorphism(new GlvTypeBEndomorphism(c, p)).Create();
}
protected override 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 = BigInteger.Zero;
BigInteger b = BigInteger.ValueOf(7);
byte[] S = null;
BigInteger n = FromHex("0100000000000000000001B8FA16DFAB9ACA16B6B3");
BigInteger h = BigInteger.One;
GlvTypeBParameters glv = new GlvTypeBParameters(
new BigInteger("9ba48cba5ebcb9b6bd33b92830b2a2e0e192f10a", 16),
new BigInteger("c39c6c3b3a36d7701b9c71a1f5804ae5d0003f4", 16),
new BigInteger[]{
new BigInteger("9162fbe73984472a0a9e", 16),
new BigInteger("-96341f1138933bc2f505", 16) },
new BigInteger[]{
new BigInteger("127971af8721782ecffa3", 16),
new BigInteger("9162fbe73984472a0a9e", 16) },
new BigInteger("48b17df39cc22395054e8", 16),
new BigInteger("4b1a0f889c499de17a820", 16),
163);
ECCurve curve = ConfigureCurveGlv(new FpCurve(p, a, b, n, h), glv);
//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);
}
public GlvTypeBEndomorphism(ECCurve curve, GlvTypeBParameters parameters)
{
this.m_curve = curve;
this.m_parameters = parameters;
this.m_pointMap = new ScaleXPointMap(curve.FromBigInteger(parameters.Beta));
}
protected override X9ECParameters CreateParameters()
{
byte[] S = null;
GlvTypeBParameters glv = new GlvTypeBParameters(
new BigInteger("bb85691939b869c1d087f601554b96b80cb4f55b35f433c2", 16),
new BigInteger("3d84f26c12238d7b4f3d516613c1759033b1a5800175d0b1", 16),
new BigInteger[]{
new BigInteger("71169be7330b3038edb025f1", 16),
new BigInteger("-b3fb3400dec5c4adceb8655c", 16) },
new BigInteger[]{
new BigInteger("12511cfe811d0f4e6bc688b4d", 16),
new BigInteger("71169be7330b3038edb025f1", 16) },
new BigInteger("1c45a6f9ccc2cc0e3b6c097c7", 16),
new BigInteger("2cfecd0037b1712b73ae19575", 16),
194);
ECCurve curve = ConfigureCurveGlv(new SecP192K1Curve(), glv);
ECPoint G = curve.DecodePoint(Hex.Decode("04"
+ "DB4FF10EC057E9AE26B07D0280B7F4341DA5D1B1EAE06C7D"
+ "9B2F2F6D9C5628A7844163D015BE86344082AA88D95E2F9D"));
return new X9ECParameters(curve, G, curve.Order, curve.Cofactor, S);
}
protected override X9ECParameters CreateParameters()
{
byte[] S = null;
GlvTypeBParameters glv = new GlvTypeBParameters(
new BigInteger("7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee", 16),
new BigInteger("5363ad4cc05c30e0a5261c028812645a122e22ea20816678df02967c1b23bd72", 16),
new BigInteger[]{
new BigInteger("3086d221a7d46bcde86c90e49284eb15", 16),
new BigInteger("-e4437ed6010e88286f547fa90abfe4c3", 16) },
new BigInteger[]{
new BigInteger("114ca50f7a8e2f3f657c1108d9d44cfd8", 16),
new BigInteger("3086d221a7d46bcde86c90e49284eb15", 16) },
new BigInteger("c21b48869f51af37a1b243924a13ac55", 16),
new BigInteger("3910dfb58043a20a1bd51fea42aff9311", 16),
258);
ECCurve curve = ConfigureCurveGlv(new SecP256K1Curve(), glv);
ECPoint G = curve.DecodePoint(Hex.Decode("04"
+ "79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798"
+ "483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8"));
return new X9ECParameters(curve, G, curve.Order, curve.Cofactor, S);
}
protected override X9ECParameters CreateParameters()
{
byte[] S = null;
GlvTypeBParameters glv = new GlvTypeBParameters(
new BigInteger("fe0e87005b4e83761908c5131d552a850b3f58b749c37cf5b84d6768", 16),
new BigInteger("60dcd2104c4cbc0be6eeefc2bdd610739ec34e317f9b33046c9e4788", 16),
new BigInteger[]{
new BigInteger("6b8cf07d4ca75c88957d9d670591", 16),
new BigInteger("-b8adf1378a6eb73409fa6c9c637d", 16) },
new BigInteger[]{
new BigInteger("1243ae1b4d71613bc9f780a03690e", 16),
new BigInteger("6b8cf07d4ca75c88957d9d670591", 16) },
new BigInteger("35c6783ea653ae444abeceb382c82", 16),
new BigInteger("5c56f89bc5375b9a04fd364e31bdd", 16),
227);
ECCurve curve = ConfigureCurveGlv(new SecP224K1Curve(), glv);
ECPoint G = curve.DecodePoint(Hex.Decode("04"
+ "A1455B334DF099DF30FC28A169A467E9E47075A90F7E650EB6B7A45C"
+ "7E089FED7FBA344282CAFBD6F7E319F7C0B0BD59E2CA4BDB556D61A5"));
return new X9ECParameters(curve, G, curve.Order, curve.Cofactor, S);
}
protected override X9ECParameters CreateParameters()
{
byte[] S = null;
GlvTypeBParameters glv = new GlvTypeBParameters(
new BigInteger("9ba48cba5ebcb9b6bd33b92830b2a2e0e192f10a", 16),
new BigInteger("c39c6c3b3a36d7701b9c71a1f5804ae5d0003f4", 16),
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 SecP160K1Curve(), glv);
ECPoint G = curve.DecodePoint(Hex.Decode("04"
+ "3B4C382CE37AA192A4019E763036F4F5DD4D7EBB"
+ "938CF935318FDCED6BC28286531733C3F03C4FEE"));
return new X9ECParameters(curve, G, curve.Order, curve.Cofactor, S);
}