public void TestECNR192bitPrime()
{
IBigInteger r = new BigInteger("2474388605162950674935076940284692598330235697454145648371");
IBigInteger s = new BigInteger("2997192822503471356158280167065034437828486078932532073836");
byte[] kData = new BigInteger("dcc5d1f1020906df2782360d36b2de7a17ece37d503784af", 16).ToByteArrayUnsigned();
SecureRandom k = FixedSecureRandom.From(kData);
FPCurve curve = new FPCurve(
new BigInteger("6277101735386680763835789423207666416083908700390324961279"), // q (or p)
new BigInteger("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC", 16), // a
new BigInteger("64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1", 16)); // b
ECDomainParameters spec = new ECDomainParameters(
curve,
curve.DecodePoint(Hex.Decode("03188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012")), // G
new BigInteger("6277101735386680763835789423176059013767194773182842284081")); // n
ECPrivateKeyParameters priKey = new ECPrivateKeyParameters(
new BigInteger("651056770906015076056810763456358567190100156695615665659"), // d
spec);
ECPublicKeyParameters pubKey = new ECPublicKeyParameters(
curve.DecodePoint(Hex.Decode("0262B12D60690CDCF330BABAB6E69763B471F994DD702D16A5")), // Q
spec);
ISigner sgr = SignerUtilities.GetSigner("SHA1withECNR");
byte[] message = new byte[] { (byte)'a', (byte)'b', (byte)'c' };
checkSignature(192, priKey, pubKey, sgr, k, message, r, s);
}
public void DecodeTest()
{
// EllipticCurve curve = new EllipticCurve(
// new ECFieldFp(new BigInteger("6277101735386680763835789423207666416083908700390324961279")), // q
// new BigInteger("fffffffffffffffffffffffffffffffefffffffffffffffc", 16), // a
// new BigInteger("64210519e59c80e70fa7e9ab72243049feb8deecc146b9b1", 16)); // b
ECCurve curve = new FPCurve(
new BigInteger("6277101735386680763835789423207666416083908700390324961279"), // q
new BigInteger("fffffffffffffffffffffffffffffffefffffffffffffffc", 16), // a
new BigInteger("64210519e59c80e70fa7e9ab72243049feb8deecc146b9b1", 16)); // b
// ECPoint p = ECPointUtil.DecodePoint(curve, Hex.Decode("03188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012"));
ECPoint p = curve.DecodePoint(Hex.Decode("03188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012"));
IBigInteger x = p.X.ToBigInteger(); //p.getAffineX();
if (!x.Equals(new BigInteger("188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012", 16)))
{
Fail("x uncompressed incorrectly");
}
IBigInteger y = p.Y.ToBigInteger(); //p.getAffineX();
if (!y.Equals(new BigInteger("7192b95ffc8da78631011ed6b24cdd573f977a11e794811", 16)))
{
Fail("y uncompressed incorrectly");
}
}
public void TestDecode()
{
var curve = new FPCurve(
new BigInteger("6277101735386680763835789423207666416083908700390324961279"), // q
new BigInteger("fffffffffffffffffffffffffffffffefffffffffffffffc", 16), // a
new BigInteger("64210519e59c80e70fa7e9ab72243049feb8deecc146b9b1", 16)); // b
ECPoint p = curve.DecodePoint(Hex.Decode("03188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012"));
if (!p.X.ToBigInteger().Equals(new BigInteger("188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012", 16)))
{
Fail("x uncompressed incorrectly");
}
if (!p.Y.ToBigInteger().Equals(new BigInteger("7192b95ffc8da78631011ed6b24cdd573f977a11e794811", 16)))
{
Fail("y uncompressed incorrectly");
}
byte[] encoding = p.GetEncoded();
if (!AreEqual(encoding, Hex.Decode("03188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012")))
{
Fail("point compressed incorrectly");
}
}
public override void PerformTest()
{
StaticTest();
FPCurve curve = new FPCurve(
new BigInteger("6277101735386680763835789423207666416083908700390324961279"), // q
new BigInteger("fffffffffffffffffffffffffffffffefffffffffffffffc", 16), // a
new BigInteger("64210519e59c80e70fa7e9ab72243049feb8deecc146b9b1", 16)); // b
ECDomainParameters parameters = new ECDomainParameters(
curve,
curve.DecodePoint(Hex.Decode("03188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012")), // G
new BigInteger("6277101735386680763835789423176059013767194773182842284081")); // n
ECKeyPairGenerator eGen = new ECKeyPairGenerator();
KeyGenerationParameters gParam = new ECKeyGenerationParameters(parameters, new SecureRandom());
eGen.Init(gParam);
IAsymmetricCipherKeyPair p1 = eGen.GenerateKeyPair();
IAsymmetricCipherKeyPair p2 = eGen.GenerateKeyPair();
DoTest(p1, p2);
}
protected override X9ECParameters CreateParameters()
{
// p = 2^384 - 2^128 - 2^96 + 2^32 - 1
IBigInteger p = FromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF");
IBigInteger a = FromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC");
IBigInteger b = FromHex("B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF");
byte[] S = Hex.Decode("A335926AA319A27A1D00896A6773A4827ACDAC73");
IBigInteger n = FromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973");
IBigInteger h = BigInteger.ValueOf(1);
ECCurve curve = new FPCurve(p, a, b);
//ECPoint G = curve.DecodePoint(Hex.Decode("03"
//+ "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B9859F741E082542A385502F25DBF55296C3A545E3872760AB7"));
ECPoint G = curve.DecodePoint(Hex.Decode("04"
+ "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B9859F741E082542A385502F25DBF55296C3A545E3872760AB7"
+ "3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A147CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F"));
return new X9ECParameters(curve, G, n, h, S);
}
protected override X9ECParameters CreateParameters()
{
// p = 2^256 - 2^32 - 2^9 - 2^8 - 2^7 - 2^6 - 2^4 - 1
IBigInteger p = FromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F");
IBigInteger a = BigInteger.Zero;
IBigInteger b = BigInteger.ValueOf(7);
byte[] S = null;
IBigInteger n = FromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141");
IBigInteger h = BigInteger.ValueOf(1);
ECCurve curve = new FPCurve(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);
}
protected override X9ECParameters CreateParameters()
{
// p = 2^224 - 2^32 - 2^12 - 2^11 - 2^9 - 2^7 - 2^4 - 2 - 1
IBigInteger p = FromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFE56D");
IBigInteger a = BigInteger.Zero;
IBigInteger b = BigInteger.ValueOf(5);
byte[] S = null;
IBigInteger n = FromHex("010000000000000000000000000001DCE8D2EC6184CAF0A971769FB1F7");
IBigInteger h = BigInteger.ValueOf(1);
ECCurve curve = new FPCurve(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);
}
protected override X9ECParameters CreateParameters()
{
// p = 2^192 - 2^32 - 2^12 - 2^8 - 2^7 - 2^6 - 2^3 - 1
IBigInteger p = FromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFEE37");
IBigInteger a = BigInteger.Zero;
IBigInteger b = BigInteger.ValueOf(3);
byte[] S = null;
IBigInteger n = FromHex("FFFFFFFFFFFFFFFFFFFFFFFE26F2FC170F69466A74DEFD8D");
IBigInteger h = BigInteger.ValueOf(1);
ECCurve curve = new FPCurve(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);
}
protected override X9ECParameters CreateParameters()
{
// p = 2^160 - 2^31 - 1
IBigInteger p = FromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF");
IBigInteger a = FromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC");
IBigInteger b = FromHex("1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45");
byte[] S = Hex.Decode("1053CDE42C14D696E67687561517533BF3F83345");
IBigInteger n = FromHex("0100000000000000000001F4C8F927AED3CA752257");
IBigInteger h = BigInteger.ValueOf(1);
ECCurve curve = new FPCurve(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);
}
protected override X9ECParameters CreateParameters()
{
// p = 2^128 - 2^97 - 1
IBigInteger p = FromHex("FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF");
IBigInteger a = FromHex("D6031998D1B3BBFEBF59CC9BBFF9AEE1");
IBigInteger b = FromHex("5EEEFCA380D02919DC2C6558BB6D8A5D");
byte[] S = Hex.Decode("004D696E67687561517512D8F03431FCE63B88F4");
IBigInteger n = FromHex("3FFFFFFF7FFFFFFFBE0024720613B5A3");
IBigInteger h = BigInteger.ValueOf(4);
ECCurve curve = new FPCurve(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);
}
protected override X9ECParameters CreateParameters()
{
ECCurve cFp256v1 = new FPCurve(
new BigInteger("115792089210356248762697446949407573530086143415290314195533631308867097853951"),
new BigInteger("ffffffff00000001000000000000000000000000fffffffffffffffffffffffc", 16),
new BigInteger("5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b", 16));
return new X9ECParameters(
cFp256v1,
cFp256v1.DecodePoint(
Hex.Decode("036b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296")),
new BigInteger("ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551", 16),
BigInteger.One,
Hex.Decode("c49d360886e704936a6678e1139d26b7819f7e90"));
}
private void ecNR239bitPrime()
{
FPCurve curve = new FPCurve(
new BigInteger("883423532389192164791648750360308885314476597252960362792450860609699839"), // q
new BigInteger("7fffffffffffffffffffffff7fffffffffff8000000000007ffffffffffc", 16), // a
new BigInteger("6b016c3bdcf18941d0d654921475ca71a9db2fb27d1d37796185c2942c0a", 16)); // b
ECDomainParameters parameters = new ECDomainParameters(
curve,
curve.DecodePoint(Hex.Decode("020ffa963cdca8816ccc33b8642bedf905c3d358573d3f27fbbd3b3cb9aaaf")), // G
new BigInteger("883423532389192164791648750360308884807550341691627752275345424702807307")); // n
ECPrivateKeyParameters priKey = new ECPrivateKeyParameters(
new BigInteger("876300101507107567501066130761671078357010671067781776716671676178726717"), // d
parameters);
ECNRSigner ecnr = new ECNRSigner();
ParametersWithRandom param = new ParametersWithRandom(priKey, k);
ecnr.Init(true, param);
byte[] message = new BigInteger("968236873715988614170569073515315707566766479517").ToByteArray();
IBigInteger[] sig = ecnr.GenerateSignature(message);
if (!r.Equals(sig[0]))
{
Fail("r component wrong.", r, sig[0]);
}
if (!s.Equals(sig[1]))
{
Fail("s component wrong.", s, sig[1]);
}
// Verify the signature
ECPublicKeyParameters pubKey = new ECPublicKeyParameters(
curve.DecodePoint(Hex.Decode("025b6dc53bc61a2548ffb0f671472de6c9521a9d2d2534e65abfcbd5fe0c70")), // Q
parameters);
ecnr.Init(false, pubKey);
if (!ecnr.VerifySignature(message, sig[0], sig[1]))
{
Fail("signature fails");
}
}
public void TestGeneration()
{
ISigner s = SignerUtilities.GetSigner("DSA");
byte[] data = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 0 };
SecureRandom rand = new SecureRandom();
// KeyPairGenerator g = KeyPairGenerator.GetInstance("DSA");
IAsymmetricCipherKeyPairGenerator g = GeneratorUtilities.GetKeyPairGenerator("DSA");
// test exception
//
doTestBadStrength(513);
doTestBadStrength(510);
doTestBadStrength(1025);
//g.initialize(512, rand);
{
DsaParametersGenerator pGen = new DsaParametersGenerator();
pGen.Init(512, 80, rand);
g.Init(new DsaKeyGenerationParameters(rand, pGen.GenerateParameters()));
}
IAsymmetricCipherKeyPair p = g.GenerateKeyPair();
IAsymmetricKeyParameter sKey = p.Private;
IAsymmetricKeyParameter vKey = p.Public;
s.Init(true, sKey);
s.BlockUpdate(data, 0, data.Length);
byte[] sigBytes = s.GenerateSignature();
s = SignerUtilities.GetSigner("DSA");
s.Init(false, vKey);
s.BlockUpdate(data, 0, data.Length);
if (!s.VerifySignature(sigBytes))
{
Fail("DSA verification failed");
}
//
// ECDSA Fp generation test
//
s = SignerUtilities.GetSigner("ECDSA");
ECCurve curve = new FPCurve(
new BigInteger("883423532389192164791648750360308885314476597252960362792450860609699839"), // q
new BigInteger("7fffffffffffffffffffffff7fffffffffff8000000000007ffffffffffc", 16), // a
new BigInteger("6b016c3bdcf18941d0d654921475ca71a9db2fb27d1d37796185c2942c0a", 16)); // b
ECDomainParameters ecSpec = new ECDomainParameters(
curve,
curve.DecodePoint(Hex.Decode("020ffa963cdca8816ccc33b8642bedf905c3d358573d3f27fbbd3b3cb9aaaf")), // G
new BigInteger("883423532389192164791648750360308884807550341691627752275345424702807307")); // n
g = GeneratorUtilities.GetKeyPairGenerator("ECDSA");
g.Init(new ECKeyGenerationParameters(ecSpec, rand));
p = g.GenerateKeyPair();
sKey = p.Private;
vKey = p.Public;
s.Init(true, sKey);
s.BlockUpdate(data, 0, data.Length);
sigBytes = s.GenerateSignature();
s = SignerUtilities.GetSigner("ECDSA");
s.Init(false, vKey);
s.BlockUpdate(data, 0, data.Length);
if (!s.VerifySignature(sigBytes))
{
Fail("ECDSA verification failed");
}
//
// ECDSA F2m generation test
//
s = SignerUtilities.GetSigner("ECDSA");
curve = new F2MCurve(
239, // m
36, // k
new BigInteger("32010857077C5431123A46B808906756F543423E8D27877578125778AC76", 16), // a
new BigInteger("790408F2EEDAF392B012EDEFB3392F30F4327C0CA3F31FC383C422AA8C16", 16)); // b
ecSpec = new ECDomainParameters(
curve,
curve.DecodePoint(Hex.Decode("0457927098FA932E7C0A96D3FD5B706EF7E5F5C156E16B7E7C86038552E91D61D8EE5077C33FECF6F1A16B268DE469C3C7744EA9A971649FC7A9616305")), // G
new BigInteger("220855883097298041197912187592864814557886993776713230936715041207411783"), // n
BigInteger.ValueOf(4)); // h
g = GeneratorUtilities.GetKeyPairGenerator("ECDSA");
g.Init(new ECKeyGenerationParameters(ecSpec, rand));
p = g.GenerateKeyPair();
sKey = p.Private;
vKey = p.Public;
s.Init(true, sKey);
s.BlockUpdate(data, 0, data.Length);
sigBytes = s.GenerateSignature();
s = SignerUtilities.GetSigner("ECDSA");
s.Init(false, vKey);
s.BlockUpdate(data, 0, data.Length);
if (!s.VerifySignature(sigBytes))
{
Fail("ECDSA verification failed");
}
}
public void TestECDsa239BitPrime()
{
IBigInteger r = new BigInteger("308636143175167811492622547300668018854959378758531778147462058306432176");
IBigInteger s = new BigInteger("323813553209797357708078776831250505931891051755007842781978505179448783");
byte[] kData = BigIntegers.AsUnsignedByteArray(
new BigInteger("700000017569056646655505781757157107570501575775705779575555657156756655"));
SecureRandom k = FixedSecureRandom.From(kData);
ECCurve curve = new FPCurve(
new BigInteger("883423532389192164791648750360308885314476597252960362792450860609699839"), // q
new BigInteger("7fffffffffffffffffffffff7fffffffffff8000000000007ffffffffffc", 16), // a
new BigInteger("6b016c3bdcf18941d0d654921475ca71a9db2fb27d1d37796185c2942c0a", 16)); // b
ECDomainParameters spec = new ECDomainParameters(
curve,
curve.DecodePoint(Hex.Decode("020ffa963cdca8816ccc33b8642bedf905c3d358573d3f27fbbd3b3cb9aaaf")), // G
new BigInteger("883423532389192164791648750360308884807550341691627752275345424702807307")); // n
ECPrivateKeyParameters priKey = new ECPrivateKeyParameters(
"ECDSA",
new BigInteger("876300101507107567501066130761671078357010671067781776716671676178726717"), // d
spec);
ECPublicKeyParameters pubKey = new ECPublicKeyParameters(
"ECDSA",
curve.DecodePoint(Hex.Decode("025b6dc53bc61a2548ffb0f671472de6c9521a9d2d2534e65abfcbd5fe0c70")), // Q
spec);
ISigner sgr = SignerUtilities.GetSigner("ECDSA");
// KeyFactory f = KeyFactory.GetInstance("ECDSA");
// PrivateKey sKey = f.generatePrivate(priKey);
// PublicKey vKey = f.generatePublic(pubKey);
IAsymmetricKeyParameter sKey = priKey;
IAsymmetricKeyParameter vKey = pubKey;
sgr.Init(true, new ParametersWithRandom(sKey, k));
byte[] message = Encoding.ASCII.GetBytes("abc");
sgr.BlockUpdate(message, 0, message.Length);
byte[] sigBytes = sgr.GenerateSignature();
sgr.Init(false, vKey);
sgr.BlockUpdate(message, 0, message.Length);
if (!sgr.VerifySignature(sigBytes))
{
Fail("239 Bit EC verification failed");
}
IBigInteger[] sig = DerDecode(sigBytes);
if (!r.Equals(sig[0]))
{
Fail("r component wrong." + SimpleTest.NewLine
+ " expecting: " + r + SimpleTest.NewLine
+ " got : " + sig[0]);
}
if (!s.Equals(sig[1]))
{
Fail("s component wrong." + SimpleTest.NewLine
+ " expecting: " + s + SimpleTest.NewLine
+ " got : " + sig[1]);
}
}
public void TestECMqv()
{
IAsymmetricCipherKeyPairGenerator g = GeneratorUtilities.GetKeyPairGenerator("ECMQV");
// EllipticCurve curve = new EllipticCurve(
// new ECFieldFp(new BigInteger("883423532389192164791648750360308885314476597252960362792450860609699839")), // q
// new BigInteger("7fffffffffffffffffffffff7fffffffffff8000000000007ffffffffffc", 16), // a
// new BigInteger("6b016c3bdcf18941d0d654921475ca71a9db2fb27d1d37796185c2942c0a", 16)); // b
ECCurve curve = new FPCurve(
new BigInteger("883423532389192164791648750360308885314476597252960362792450860609699839"), // q
new BigInteger("7fffffffffffffffffffffff7fffffffffff8000000000007ffffffffffc", 16), // a
new BigInteger("6b016c3bdcf18941d0d654921475ca71a9db2fb27d1d37796185c2942c0a", 16)); // b
ECDomainParameters ecSpec = new ECDomainParameters(
curve,
// ECPointUtil.DecodePoint(curve, Hex.Decode("020ffa963cdca8816ccc33b8642bedf905c3d358573d3f27fbbd3b3cb9aaaf")), // G
curve.DecodePoint(Hex.Decode("020ffa963cdca8816ccc33b8642bedf905c3d358573d3f27fbbd3b3cb9aaaf")), // G
new BigInteger("883423532389192164791648750360308884807550341691627752275345424702807307"), // n
BigInteger.One); //1); // h
// g.initialize(ecSpec, new SecureRandom());
g.Init(new ECKeyGenerationParameters(ecSpec, new SecureRandom()));
//
// U side
//
IAsymmetricCipherKeyPair U1 = g.GenerateKeyPair();
IAsymmetricCipherKeyPair U2 = g.GenerateKeyPair();
IBasicAgreement uAgree = AgreementUtilities.GetBasicAgreement("ECMQV");
uAgree.Init(new MqvPrivateParameters(
(ECPrivateKeyParameters)U1.Private,
(ECPrivateKeyParameters)U2.Private,
(ECPublicKeyParameters)U2.Public));
//
// V side
//
IAsymmetricCipherKeyPair V1 = g.GenerateKeyPair();
IAsymmetricCipherKeyPair V2 = g.GenerateKeyPair();
IBasicAgreement vAgree = AgreementUtilities.GetBasicAgreement("ECMQV");
vAgree.Init(new MqvPrivateParameters(
(ECPrivateKeyParameters)V1.Private,
(ECPrivateKeyParameters)V2.Private,
(ECPublicKeyParameters)V2.Public));
//
// agreement
//
IBigInteger ux = uAgree.CalculateAgreement(new MqvPublicParameters(
(ECPublicKeyParameters)V1.Public,
(ECPublicKeyParameters)V2.Public));
IBigInteger vx = vAgree.CalculateAgreement(new MqvPublicParameters(
(ECPublicKeyParameters)U1.Public,
(ECPublicKeyParameters)U2.Public));
if (!ux.Equals(vx))
{
Fail("Agreement failed");
}
}
protected override X9ECParameters CreateParameters()
{
// p = (2^128 - 3) / 76439
IBigInteger p = FromHex("DB7C2ABF62E35E668076BEAD208B");
IBigInteger a = FromHex("6127C24C05F38A0AAAF65C0EF02C");
IBigInteger b = FromHex("51DEF1815DB5ED74FCC34C85D709");
byte[] S = Hex.Decode("002757A1114D696E6768756151755316C05E0BD4");
IBigInteger n = FromHex("36DF0AAFD8B8D7597CA10520D04B");
IBigInteger h = BigInteger.ValueOf(4);
ECCurve curve = new FPCurve(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);
}
protected override X9ECParameters CreateParameters()
{
// p = 2^128 - 2^97 - 1
IBigInteger p = FromHex("FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF");
IBigInteger a = FromHex("FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFC");
IBigInteger b = FromHex("E87579C11079F43DD824993C2CEE5ED3");
byte[] S = Hex.Decode("000E0D4D696E6768756151750CC03A4473D03679");
IBigInteger n = FromHex("FFFFFFFE0000000075A30D1B9038A115");
IBigInteger h = BigInteger.ValueOf(1);
ECCurve curve = new FPCurve(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);
}
protected override X9ECParameters CreateParameters()
{
ECCurve cFp192v1 = new FPCurve(
new BigInteger("6277101735386680763835789423207666416083908700390324961279"),
new BigInteger("fffffffffffffffffffffffffffffffefffffffffffffffc", 16),
new BigInteger("64210519e59c80e70fa7e9ab72243049feb8deecc146b9b1", 16));
return new X9ECParameters(
cFp192v1,
cFp192v1.DecodePoint(
Hex.Decode("03188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012")),
new BigInteger("ffffffffffffffffffffffff99def836146bc9b1b4d22831", 16),
BigInteger.One,
Hex.Decode("3045AE6FC8422f64ED579528D38120EAE12196D5"));
}
protected override X9ECParameters CreateParameters()
{
// p = 2^160 - 2^32 - 2^14 - 2^12 - 2^9 - 2^8 - 2^7 - 2^3 - 2^2 - 1
IBigInteger p = FromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73");
IBigInteger a = BigInteger.Zero;
IBigInteger b = BigInteger.ValueOf(7);
byte[] S = null;
IBigInteger n = FromHex("0100000000000000000001B8FA16DFAB9ACA16B6B3");
IBigInteger h = BigInteger.ValueOf(1);
ECCurve curve = new FPCurve(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);
}
protected override X9ECParameters CreateParameters()
{
ECCurve cFp192v2 = new FPCurve(
new BigInteger("6277101735386680763835789423207666416083908700390324961279"),
new BigInteger("fffffffffffffffffffffffffffffffefffffffffffffffc", 16),
new BigInteger("cc22d6dfb95c6b25e49c0d6364a4e5980c393aa21668d953", 16));
return new X9ECParameters(
cFp192v2,
cFp192v2.DecodePoint(
Hex.Decode("03eea2bae7e1497842f2de7769cfe9c989c072ad696f48034a")),
new BigInteger("fffffffffffffffffffffffe5fb1a724dc80418648d8dd31", 16),
BigInteger.One,
Hex.Decode("31a92ee2029fd10d901b113e990710f0d21ac6b6"));
}
protected override X9ECParameters CreateParameters()
{
// p = 2^160 - 2^32 - 2^14 - 2^12 - 2^9 - 2^8 - 2^7 - 2^3 - 2^2 - 1
IBigInteger p = FromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73");
IBigInteger a = FromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC70");
IBigInteger b = FromHex("B4E134D3FB59EB8BAB57274904664D5AF50388BA");
byte[] S = Hex.Decode("B99B99B099B323E02709A4D696E6768756151751");
IBigInteger n = FromHex("0100000000000000000000351EE786A818F3A1A16B");
IBigInteger h = BigInteger.ValueOf(1);
ECCurve curve = new FPCurve(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);
}
protected override X9ECParameters CreateParameters()
{
ECCurve cFp192v3 = new FPCurve(
new BigInteger("6277101735386680763835789423207666416083908700390324961279"),
new BigInteger("fffffffffffffffffffffffffffffffefffffffffffffffc", 16),
new BigInteger("22123dc2395a05caa7423daeccc94760a7d462256bd56916", 16));
return new X9ECParameters(
cFp192v3,
cFp192v3.DecodePoint(
Hex.Decode("027d29778100c65a1da1783716588dce2b8b4aee8e228f1896")),
new BigInteger("ffffffffffffffffffffffff7a62d031c83f4294f640ec13", 16),
BigInteger.One,
Hex.Decode("c469684435deb378c4b65ca9591e2a5763059a2e"));
}
protected override X9ECParameters CreateParameters()
{
// p = 2^192 - 2^64 - 1
IBigInteger p = FromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF");
IBigInteger a = FromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC");
IBigInteger b = FromHex("64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1");
byte[] S = Hex.Decode("3045AE6FC8422F64ED579528D38120EAE12196D5");
IBigInteger n = FromHex("FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831");
IBigInteger h = BigInteger.ValueOf(1);
ECCurve curve = new FPCurve(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);
}
protected override X9ECParameters CreateParameters()
{
ECCurve cFp239v1 = new FPCurve(
new BigInteger("883423532389192164791648750360308885314476597252960362792450860609699839"),
new BigInteger("7fffffffffffffffffffffff7fffffffffff8000000000007ffffffffffc", 16),
new BigInteger("6b016c3bdcf18941d0d654921475ca71a9db2fb27d1d37796185c2942c0a", 16));
return new X9ECParameters(
cFp239v1,
cFp239v1.DecodePoint(
Hex.Decode("020ffa963cdca8816ccc33b8642bedf905c3d358573d3f27fbbd3b3cb9aaaf")),
new BigInteger("7fffffffffffffffffffffff7fffff9e5e9a9f5d9071fbd1522688909d0b", 16),
BigInteger.One,
Hex.Decode("e43bb460f0b80cc0c0b075798e948060f8321b7d"));
}
protected override X9ECParameters CreateParameters()
{
// p = 2^224 - 2^96 + 1
IBigInteger p = FromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001");
IBigInteger a = FromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE");
IBigInteger b = FromHex("B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4");
byte[] S = Hex.Decode("BD71344799D5C7FCDC45B59FA3B9AB8F6A948BC5");
IBigInteger n = FromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D");
IBigInteger h = BigInteger.ValueOf(1);
ECCurve curve = new FPCurve(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);
}
protected override X9ECParameters CreateParameters()
{
ECCurve cFp239v2 = new FPCurve(
new BigInteger("883423532389192164791648750360308885314476597252960362792450860609699839"),
new BigInteger("7fffffffffffffffffffffff7fffffffffff8000000000007ffffffffffc", 16),
new BigInteger("617fab6832576cbbfed50d99f0249c3fee58b94ba0038c7ae84c8c832f2c", 16));
return new X9ECParameters(
cFp239v2,
cFp239v2.DecodePoint(
Hex.Decode("0238af09d98727705120c921bb5e9e26296a3cdcf2f35757a0eafd87b830e7")),
new BigInteger("7fffffffffffffffffffffff800000cfa7e8594377d414c03821bc582063", 16),
BigInteger.One,
Hex.Decode("e8b4011604095303ca3b8099982be09fcb9ae616"));
}
protected override X9ECParameters CreateParameters()
{
// p = 2^224 (2^32 - 1) + 2^192 + 2^96 - 1
IBigInteger p = FromHex("FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF");
IBigInteger a = FromHex("FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC");
IBigInteger b = FromHex("5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B");
byte[] S = Hex.Decode("C49D360886E704936A6678E1139D26B7819F7E90");
IBigInteger n = FromHex("FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551");
IBigInteger h = BigInteger.ValueOf(1);
ECCurve curve = new FPCurve(p, a, b);
//ECPoint G = curve.DecodePoint(Hex.Decode("03"
//+ "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296"));
ECPoint G = curve.DecodePoint(Hex.Decode("04"
+ "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296"
+ "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5"));
return new X9ECParameters(curve, G, n, h, S);
}
protected override X9ECParameters CreateParameters()
{
ECCurve cFp239v3 = new FPCurve(
new BigInteger("883423532389192164791648750360308885314476597252960362792450860609699839"),
new BigInteger("7fffffffffffffffffffffff7fffffffffff8000000000007ffffffffffc", 16),
new BigInteger("255705fa2a306654b1f4cb03d6a750a30c250102d4988717d9ba15ab6d3e", 16));
return new X9ECParameters(
cFp239v3,
cFp239v3.DecodePoint(
Hex.Decode("036768ae8e18bb92cfcf005c949aa2c6d94853d0e660bbf854b1c9505fe95a")),
new BigInteger("7fffffffffffffffffffffff7fffff975deb41b3a6057c3c432146526551", 16),
BigInteger.One,
Hex.Decode("7d7374168ffe3471b60a857686a19475d3bfa2ff"));
}
protected override X9ECParameters CreateParameters()
{
// p = 2^521 - 1
IBigInteger p = FromHex("01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
IBigInteger a = FromHex("01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC");
IBigInteger b = FromHex("0051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573DF883D2C34F1EF451FD46B503F00");
byte[] S = Hex.Decode("D09E8800291CB85396CC6717393284AAA0DA64BA");
IBigInteger n = FromHex("01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E91386409");
IBigInteger h = BigInteger.ValueOf(1);
ECCurve curve = new FPCurve(p, a, b);
//ECPoint G = curve.DecodePoint(Hex.Decode("02"
//+ "00C6858E06B70404E9CD9E3ECB662395B4429C648139053FB521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B3C1856A429BF97E7E31C2E5BD66"));
ECPoint G = curve.DecodePoint(Hex.Decode("04"
+ "00C6858E06B70404E9CD9E3ECB662395B4429C648139053FB521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B3C1856A429BF97E7E31C2E5BD66"
+ "011839296A789A3BC0045C8A5FB42C7D1BD998F54449579B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C7086A272C24088BE94769FD16650"));
return new X9ECParameters(curve, G, n, h, S);
}
protected override X9ECParameters CreateParameters()
{
// p = (2^128 - 3) / 76439
IBigInteger p = FromHex("DB7C2ABF62E35E668076BEAD208B");
IBigInteger a = FromHex("DB7C2ABF62E35E668076BEAD2088");
IBigInteger b = FromHex("659EF8BA043916EEDE8911702B22");
byte[] S = Hex.Decode("00F50B028E4D696E676875615175290472783FB1");
IBigInteger n = FromHex("DB7C2ABF62E35E7628DFAC6561C5");
IBigInteger h = BigInteger.ValueOf(1);
ECCurve curve = new FPCurve(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);
}