상속: ECCurveBase
예제 #1
0
        public KeyAgreement()
        {
            _curve = new FpCurve(
                new BigInteger("BDB6F4FE3E8B1D9E0DA8C0D46F4C318CEFE4AFE3B6B8551F", 16), // q
                new BigInteger("BB8E5E8FBC115E139FE6A814FE48AAA6F0ADA1AA5DF91985", 16), // a
                new BigInteger("1854BEBDC31B21B7AEFC80AB0ECD10D5B1B3308E6DBF11C1", 16)  // b
                );

            _ecSpec = new ECDomainParameters(
                _curve,
                new FpPoint(_curve,
                        new FpFieldElement(
                            _curve.Q,
                            new BigInteger("4AD5F7048DE709AD51236DE65E4D4B482C836DC6E4106640", 16)
                        ),
                        new FpFieldElement(
                            _curve.Q,
                            new BigInteger("02BB3A02D4AAADACAE24817A4CA3A1B014B5270432DB27D2", 16))
                        ), // G
                        new BigInteger("BDB6F4FE3E8B1D9E0DA8C0D40FC962195DFAE76F56564677", 16), // n
                        BigInteger.One// h
                );
            _keyGen = GeneratorUtilities.GetKeyPairGenerator("ECDH");
            _keyGen.Init(new ECKeyGenerationParameters(_ecSpec, new SecureRandom()));
        }
예제 #2
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        public void TestDecode()
        {
            FpCurve 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");
            }
        }
예제 #3
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		public void TestECNR239bitPrime()
		{
			BigInteger r = new BigInteger("308636143175167811492623515537541734843573549327605293463169625072911693");
			BigInteger s = new BigInteger("852401710738814635664888632022555967400445256405412579597015412971797143");

			byte[] kData = new BigInteger("700000017569056646655505781757157107570501575775705779575555657156756655").ToByteArrayUnsigned();

			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(
				new BigInteger("876300101507107567501066130761671078357010671067781776716671676178726717"), // d
				spec);

			ECPublicKeyParameters pubKey = new ECPublicKeyParameters(
				curve.DecodePoint(Hex.Decode("025b6dc53bc61a2548ffb0f671472de6c9521a9d2d2534e65abfcbd5fe0c70")), // Q
				spec);

			ISigner sgr = SignerUtilities.GetSigner("SHA1withECNR");
			byte[] message = new byte[] { (byte)'a', (byte)'b', (byte)'c' };

			checkSignature(239, priKey, pubKey, sgr, k, message, r, s);
		}
예제 #4
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		public override void PerformTest()
		{
			IAsymmetricCipherKeyPairGenerator g = GeneratorUtilities.GetKeyPairGenerator("ECIES");

			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.Init(
				new ECKeyGenerationParameters(
					ecSpec,
					new SecureRandom()));

			IBufferedCipher c1 = CipherUtilities.GetCipher("ECIES");
			IBufferedCipher c2 = CipherUtilities.GetCipher("ECIES");

			doTest(g, c1, c2);

			g = GeneratorUtilities.GetKeyPairGenerator("ECIES");

			g.Init(new KeyGenerationParameters(new SecureRandom(), 192));

			doTest(g, c1, c2);

			g = GeneratorUtilities.GetKeyPairGenerator("ECIES");

			g.Init(new KeyGenerationParameters(new SecureRandom(), 239));

			doTest(g, c1, c2);

			g = GeneratorUtilities.GetKeyPairGenerator("ECIES");

			g.Init(new KeyGenerationParameters(new SecureRandom(), 256));

			doTest(g, c1, c2);

			doDefTest(g, c1, c2);

			c1 = CipherUtilities.GetCipher("IES");
			c2 = CipherUtilities.GetCipher("IES");

			g = GeneratorUtilities.GetKeyPairGenerator("DH");

//			DHParameterSpec dhParams = new DHParameterSpec(p512, g512);
//			g.initialize(dhParams);
			g.Init(
				new DHKeyGenerationParameters(
					new SecureRandom(),
					new DHParameters(p512, g512)));

			doTest(g, c1, c2);

			doDefTest(g, c1, c2);
		}
예제 #5
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		public void TestECNR192bitPrime()
		{
			BigInteger r  = new BigInteger("2474388605162950674935076940284692598330235697454145648371");
			BigInteger 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);
		}
예제 #6
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        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"));

            BigInteger x = p.XCoord.ToBigInteger(); //p.getAffineX();

            if (!x.Equals(new BigInteger("188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012", 16)))
            {
                Fail("x uncompressed incorrectly");
            }

            BigInteger y = p.YCoord.ToBigInteger(); //p.getAffineX();
            if (!y.Equals(new BigInteger("7192b95ffc8da78631011ed6b24cdd573f977a11e794811", 16)))
            {
                Fail("y uncompressed incorrectly");
            }
        }
예제 #7
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		public void TestECDsa192bitPrime()
		{
			BigInteger r = new BigInteger("3342403536405981729393488334694600415596881826869351677613");
			BigInteger s = new BigInteger("5735822328888155254683894997897571951568553642892029982342");

			byte[] kData = BigIntegers.AsUnsignedByteArray(new BigInteger("6140507067065001063065065565667405560006161556565665656654"));

			SecureRandom k = FixedSecureRandom.From(kData);

			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

			ECPrivateKeyParameters priKey = new ECPrivateKeyParameters(
				"ECDSA",
				new BigInteger("651056770906015076056810763456358567190100156695615665659"), // d
				parameters);

			ParametersWithRandom param = new ParametersWithRandom(priKey, k);

			ECDsaSigner ecdsa = new ECDsaSigner();

			ecdsa.Init(true, param);

			byte[] message = new BigInteger("968236873715988614170569073515315707566766479517").ToByteArray();
			BigInteger[] sig = ecdsa.GenerateSignature(message);

			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]);
			}

			// Verify the signature
			ECPublicKeyParameters pubKey = new ECPublicKeyParameters(
				"ECDSA",
				curve.DecodePoint(Hex.Decode("0262b12d60690cdcf330babab6e69763b471f994dd702d16a5")), // Q
				parameters);

			ecdsa.Init(false, pubKey);
			if (!ecdsa.VerifySignature(message, sig[0], sig[1]))
			{
				Fail("verification fails");
			}
		}
예제 #8
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파일: Encrypt.cs 프로젝트: excrucio/ibe
 public Encrypt(string id, FpPoint tocka, FpPoint Ppublic, BigInteger prost, FpCurve curve, BigInteger stp)
 {
     ID = id;
     P = tocka;
     Ppub = Ppublic;
     prim = prost;
     E = curve;
     k = stp;
 }
			protected override X9ECParameters CreateParameters()
			{
				ECCurve curve = new FpCurve(
					new BigInteger("C302F41D932A36CDA7A3463093D18DB78FCE476DE1A86297", 16), // q
					new BigInteger("6A91174076B1E0E19C39C031FE8685C1CAE040E5C69A28EF", 16), // a
					new BigInteger("469A28EF7C28CCA3DC721D044F4496BCCA7EF4146FBF25C9", 16)); // b

				return new X9ECParameters(
					curve,
					curve.DecodePoint(Hex.Decode("04C0A0647EAAB6A48753B033C56CB0F0900A2F5C4853375FD614B690866ABD5BB88B5F4828C1490002E6773FA2FA299B8F")), // G
					new BigInteger("C302F41D932A36CDA7A3462F9E9E916B5BE8F1029AC4ACC1", 16), //n
					new BigInteger("01", 16)); // h
			}
			protected override X9ECParameters CreateParameters()
			{
				ECCurve curve = new FpCurve(
					new BigInteger("E95E4A5F737059DC60DFC7AD95B3D8139515620F", 16), // q
					new BigInteger("340E7BE2A280EB74E2BE61BADA745D97E8F7C300", 16), // a
					new BigInteger("1E589A8595423412134FAA2DBDEC95C8D8675E58", 16)); // b

				return new X9ECParameters(
					curve,
					curve.DecodePoint(Hex.Decode("04BED5AF16EA3F6A4F62938C4631EB5AF7BDBCDBC31667CB477A1A8EC338F94741669C976316DA6321")), // G
					new BigInteger("E95E4A5F737059DC60DF5991D45029409E60FC09", 16), //n
					new BigInteger("01", 16)); // h
			}
			protected override X9ECParameters CreateParameters()
			{
				ECCurve curve = new FpCurve(
					//   new BigInteger("24DBFF5DEC9B986BBFE5295A29BFBAE45E0F5D0B", 16), // Z
					new BigInteger("E95E4A5F737059DC60DFC7AD95B3D8139515620F", 16), // q
					new BigInteger("E95E4A5F737059DC60DFC7AD95B3D8139515620C", 16), // a'
					new BigInteger("7A556B6DAE535B7B51ED2C4D7DAA7A0B5C55F380", 16)); // b'

				return new X9ECParameters(
					curve,
					curve.DecodePoint(Hex.Decode("04B199B13B9B34EFC1397E64BAEB05ACC265FF2378ADD6718B7C7C1961F0991B842443772152C9E0AD")), // G
					new BigInteger("E95E4A5F737059DC60DF5991D45029409E60FC09", 16), //n
					new BigInteger("01", 16)); // h
			}
예제 #12
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			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"));
			}
예제 #13
0
			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"));
			}
예제 #14
0
			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"));
			}
예제 #15
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        private void ecNR239bitPrime()
        {
            BigInteger n = new BigInteger("883423532389192164791648750360308884807550341691627752275345424702807307");

            FpCurve curve = new FpCurve(
                new BigInteger("883423532389192164791648750360308885314476597252960362792450860609699839"), // q
                new BigInteger("7fffffffffffffffffffffff7fffffffffff8000000000007ffffffffffc", 16), // a
                new BigInteger("6b016c3bdcf18941d0d654921475ca71a9db2fb27d1d37796185c2942c0a", 16), // b
                n, BigInteger.One);

            ECDomainParameters parameters = new ECDomainParameters(
                curve,
                curve.DecodePoint(Hex.Decode("020ffa963cdca8816ccc33b8642bedf905c3d358573d3f27fbbd3b3cb9aaaf")), // G
                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();
            BigInteger[] 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");
            }
        }
			protected override 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 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);
			}
			protected override 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 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);
			}
예제 #18
0
        /**
         * Test Sign and Verify with A parameters
         * see: http://www.ietf.org/internet-drafts/draft-popov-cryptopro-cpalgs-01.txt
         * gostR3410-2001-CryptoPro-A-ParamSet  P.47
         */
        public void ecGOST3410_AParam()
        {
            SecureRandom    random = new SecureRandom();

            BigInteger mod_p = new BigInteger("115792089237316195423570985008687907853269984665640564039457584007913129639319"); //p

            FpCurve curve = new FpCurve(
                mod_p, // p
                new BigInteger("115792089237316195423570985008687907853269984665640564039457584007913129639316"), // a
                new BigInteger("166")); // b

            ECDomainParameters parameters = new ECDomainParameters(
                curve,
                new FpPoint(curve,
                new FpFieldElement(mod_p, new BigInteger("1")), // x
                new FpFieldElement(mod_p, new BigInteger("64033881142927202683649881450433473985931760268884941288852745803908878638612"))), // y
                new BigInteger("115792089237316195423570985008687907853073762908499243225378155805079068850323")); // q

            ECKeyPairGenerator pGen = new ECKeyPairGenerator("ECGOST3410");
            ECKeyGenerationParameters genParam = new ECKeyGenerationParameters(
                parameters,
                random);

            pGen.Init(genParam);

            AsymmetricCipherKeyPair  pair = pGen.GenerateKeyPair();

            ParametersWithRandom param = new ParametersWithRandom(pair.Private, random);

            ECGost3410Signer ecgost3410 = new ECGost3410Signer();

            ecgost3410.Init(true, param);

            BigInteger[] sig = ecgost3410.GenerateSignature(hashmessage);

            ecgost3410.Init(false, pair.Public);

            if (!ecgost3410.VerifySignature(hashmessage, sig[0], sig[1]))
            {
                Fail("signature fails");
            }
        }
예제 #19
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		public void TestEC()
		{
			BigInteger ECParraGX = new BigInteger(Base64.Decode("D/qWPNyogWzMM7hkK+35BcPTWFc9Pyf7vTs8uaqv"));
			BigInteger ECParraGY = new BigInteger(Base64.Decode("AhQXGxb1olGRv6s1LPRfuatMF+cx3ZTGgzSE/Q5R"));
			BigInteger ECParraH = new BigInteger(Base64.Decode("AQ=="));
			BigInteger ECParraN = new BigInteger(Base64.Decode("f///////////////f///nl6an12QcfvRUiaIkJ0L"));
			BigInteger ECPubQX = new BigInteger(Base64.Decode("HWWi17Yb+Bm3PYr/DMjLOYNFhyOwX1QY7ZvqqM+l"));
			BigInteger ECPubQY = new BigInteger(Base64.Decode("JrlJfxu3WGhqwtL/55BOs/wsUeiDFsvXcGhB8DGx"));
			BigInteger ECPrivD = new BigInteger(Base64.Decode("GYQmd/NF1B+He1iMkWt3by2Az6Eu07t0ynJ4YCAo"));

			FpCurve curve = new FpCurve(
				new BigInteger("883423532389192164791648750360308885314476597252960362792450860609699839"), // q
				new BigInteger("7fffffffffffffffffffffff7fffffffffff8000000000007ffffffffffc", 16), // a
				new BigInteger("6b016c3bdcf18941d0d654921475ca71a9db2fb27d1d37796185c2942c0a", 16)); // b

			ECDomainParameters ecDomain =
				new ECDomainParameters(
					curve,
					new FpPoint(curve,
						curve.FromBigInteger(ECParraGX),
						curve.FromBigInteger(ECParraGY)),
				ECParraN);

			ECPublicKeyParameters ecPub = new ECPublicKeyParameters(
				new FpPoint(
					curve,
					curve.FromBigInteger(ECPubQX),
					curve.FromBigInteger(ECPubQY)),
				ecDomain);

			ECPrivateKeyParameters ecPriv = new ECPrivateKeyParameters(ECPrivD, ecDomain);

			SubjectPublicKeyInfo subinfo = SubjectPublicKeyInfoFactory.CreateSubjectPublicKeyInfo(ecPub);
			PrivateKeyInfo privInfo = PrivateKeyInfoFactory.CreatePrivateKeyInfo(ecPriv);

			ECPublicKeyParameters tecPub = (ECPublicKeyParameters)PublicKeyFactory.CreateKey(subinfo);
			ECPrivateKeyParameters tecPriv = (ECPrivateKeyParameters)PrivateKeyFactory.CreateKey(privInfo);

			Assert.IsTrue(tecPub.Equals(ecPub), "EC: public key to info back to public key");
			Assert.IsTrue(tecPriv.Equals(ecPriv), "EC: private key to info back to private key");
		}
예제 #20
0
        public static Tuple <byte[], byte[]> GetSecp256k1PublicKey(byte[] privateKey)
        {
            //Secp256k1 curve variables - https://en.bitcoin.it/wiki/Secp256k1
            var privKeyInt = new BigInteger(+1, privateKey);
            var a          = new BigInteger("0");
            var b          = new BigInteger("7");
            var GX         = new BigInteger(+1, HexStringToByteArray("79BE667E F9DCBBAC 55A06295 CE870B07 029BFCDB 2DCE28D9 59F2815B 16F81798"));
            var GY         = new BigInteger(+1, HexStringToByteArray("483ADA77 26A3C465 5DA4FBFC 0E1108A8 FD17B448 A6855419 9C47D08F FB10D4B8"));
            //var n = new BigInteger(+1, HexStringToByteArray("FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFE BAAEDCE6 AF48A03B BFD25E8C D0364141"));
            //var h = new BigInteger("1");
            var p = new BigInteger(+1, HexStringToByteArray("FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFE FFFFFC2F"));
            //var q = h.Multiply(n).Mod(p); //Is this right???
            //- http://en.wikipedia.org/wiki/Elliptic_curve_cryptography

            ECCurve curve = new Org.BouncyCastle.Math.EC.FpCurve(p, a, b);
            ECPoint G     = new Org.BouncyCastle.Math.EC.FpPoint(curve, new FpFieldElement(p, GX), new FpFieldElement(p, GY));

            var Qa = G.Multiply(privKeyInt);

            byte[] PubKeyX = Qa.X.ToBigInteger().ToByteArrayUnsigned();
            byte[] PubKeyY = Qa.Y.ToBigInteger().ToByteArrayUnsigned();

            return(Tuple.Create(PubKeyX, PubKeyY));
        }
예제 #21
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        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);

            AsymmetricCipherKeyPair p1 = eGen.GenerateKeyPair();
            AsymmetricCipherKeyPair p2 = eGen.GenerateKeyPair();

            DoTest(p1, p2);
        }
예제 #22
0
파일: Setup.cs 프로젝트: excrucio/ibe
        public Setup()
        {
            n = 3;

            do
            {
                Random r = new Random();
                s = r.Next(1, int.MaxValue - 1);
            } while (s == 0);

            // p i q
            p = new BigInteger("115792089237316195423570985008687907853269984665640564039457584007908834671663", 10);
            //q = p.Pow(n);
            q = p;

            k = new BigInteger("115792089237316195423570985008687907852837564279074904382605163141518161494337", 10);

            // E - krivulja secp256k1 - y ^ 2 = x ^ 3 + 0*x + 7
            BigInteger a = new BigInteger("0", 10);
            BigInteger b = new BigInteger("7", 10);
            E = new FpCurve(q, a, b);

            // P
            BigInteger x1 = new BigInteger("55066263022277343669578718895168534326250603453777594175500187360389116729240", 10);
            BigInteger y1 = new BigInteger("32670510020758816978083085130507043184471273380659243275938904335757337482424", 10);
            FpFieldElement x = (FpFieldElement)E.FromBigInteger(x1); // new FpFieldElement(q, x1);
            FpFieldElement y = (FpFieldElement)E.FromBigInteger(y1); // new FpFieldElement(q, y1);

            P = new FpPoint(E, x, y);

            BigInteger mtp = new BigInteger(s.ToString(), 10);

            Ppub = (FpPoint)P.Multiply(mtp);

            File.WriteAllText("mk", s.ToString() + Environment.NewLine);
        }
예제 #23
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        private void Init()
        {
            random = new SecureRandom();

            mod_p = new BigInteger("57896044618658097711785492504343953926634992332820282019728792003956564821041"); //p

            curve = new FpCurve(
                mod_p, // p
                new BigInteger("7"), // a
                new BigInteger("43308876546767276905765904595650931995942111794451039583252968842033849580414")); // b

            parameters = new ECDomainParameters(
                        curve,
                        new FpPoint(curve,
                        new FpFieldElement(mod_p, new BigInteger("2")), // x
                        new FpFieldElement(mod_p, new BigInteger("4018974056539037503335449422937059775635739389905545080690979365213431566280"))), // y
                        new BigInteger("57896044618658097711785492504343953927082934583725450622380973592137631069619")); // q

            string message = "Бюллетень";
            tbH.Text = GetDigest(System.Text.Encoding.Default.GetBytes(message)).ToString(16);
            //tbH.Text = (new BigInteger("20798893674476452017134061561508270130637142515379653289952617252661468872421")).ToString(16);
        }
예제 #24
0
		private void 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

			ECPrivateKeyParameters priKey = new ECPrivateKeyParameters(
				"ECDH",
				new BigInteger("651056770906015076056810763456358567190100156695615665659"), // d
				parameters);

			ECPublicKeyParameters pubKey = new ECPublicKeyParameters(
				"ECDH",
				curve.DecodePoint(Hex.Decode("0262b12d60690cdcf330babab6e69763b471f994dd702d16a5")), // Q
				parameters);

			AsymmetricCipherKeyPair p1 = new AsymmetricCipherKeyPair(pubKey, priKey);
			AsymmetricCipherKeyPair p2 = new AsymmetricCipherKeyPair(pubKey, priKey);

			//
			// stream test
			//
			IesEngine i1 = new IesEngine(
				new ECDHBasicAgreement(),
				new Kdf2BytesGenerator(new Sha1Digest()),
				new HMac(new Sha1Digest()));
			IesEngine i2 = new IesEngine(
				new ECDHBasicAgreement(),
				new Kdf2BytesGenerator(new Sha1Digest()),
				new HMac(new Sha1Digest()));
			byte[] d = new byte[] { 1, 2, 3, 4, 5, 6, 7, 8 };
			byte[] e = new byte[] { 8, 7, 6, 5, 4, 3, 2, 1 };
			IesParameters p = new IesParameters(d, e, 64);

			i1.Init(true, p1.Private, p2.Public, p);
			i2.Init(false, p2.Private, p1.Public, p);

			byte[] message = Hex.Decode("1234567890abcdef");

			byte[] out1 = i1.ProcessBlock(message, 0, message.Length);

			if (!AreEqual(out1, Hex.Decode("468d89877e8238802403ec4cb6b329faeccfa6f3a730f2cdb3c0a8e8")))
			{
				Fail("stream cipher test failed on enc");
			}

			byte[] out2 = i2.ProcessBlock(out1, 0, out1.Length);

			if (!AreEqual(out2, message))
			{
				Fail("stream cipher test failed");
			}

			//
			// twofish with CBC
			//
			BufferedBlockCipher c1 = new PaddedBufferedBlockCipher(
				new CbcBlockCipher(new TwofishEngine()));
			BufferedBlockCipher c2 = new PaddedBufferedBlockCipher(
				new CbcBlockCipher(new TwofishEngine()));
			i1 = new IesEngine(
				new ECDHBasicAgreement(),
				new Kdf2BytesGenerator(new Sha1Digest()),
				new HMac(new Sha1Digest()),
				c1);
			i2 = new IesEngine(
				new ECDHBasicAgreement(),
				new Kdf2BytesGenerator(new Sha1Digest()),
				new HMac(new Sha1Digest()),
				c2);
			d = new byte[] { 1, 2, 3, 4, 5, 6, 7, 8 };
			e = new byte[] { 8, 7, 6, 5, 4, 3, 2, 1 };
			p = new IesWithCipherParameters(d, e, 64, 128);

			i1.Init(true, p1.Private, p2.Public, p);
			i2.Init(false, p2.Private, p1.Public, p);

			message = Hex.Decode("1234567890abcdef");

			out1 = i1.ProcessBlock(message, 0, message.Length);

			if (!AreEqual(out1, Hex.Decode("b8a06ea5c2b9df28b58a0a90a734cde8c9c02903e5c220021fe4417410d1e53a32a71696")))
			{
				Fail("twofish cipher test failed on enc");
			}

			out2 = i2.ProcessBlock(out1, 0, out1.Length);

			if (!AreEqual(out2, message))
			{
				Fail("twofish cipher test failed");
			}
		}
예제 #25
0
        /**
         * we Generate a self signed certificate for the sake of testing - ECDSA
         */
        internal void checkCreation3()
        {
            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 privKey = new ECPrivateKeyParameters(
                "ECDSA",
                new BigInteger("876300101507107567501066130761671078357010671067781776716671676178726717"), // d
                spec);

            ECPublicKeyParameters pubKey = new ECPublicKeyParameters(
                "ECDSA",
                curve.DecodePoint(Hex.Decode("025b6dc53bc61a2548ffb0f671472de6c9521a9d2d2534e65abfcbd5fe0c70")), // Q
                spec);

            //
            // set up the keys
            //
//			AsymmetricKeyParameter privKey;
//			AsymmetricKeyParameter pubKey;
//
//			try
//			{
//				KeyFactory fact = KeyFactory.GetInstance("ECDSA");
//
//				privKey = fact.generatePrivate(privKeySpec);
//				pubKey = fact.generatePublic(pubKeySpec);
//			}
//			catch (Exception e)
//			{
//				Fail("error setting up keys - " + e.ToString());
//				return;
//			}

            //
            // distinguished name table.
            //
            IDictionary attrs = new Hashtable();
            IList order = new ArrayList();

            attrs.Add(X509Name.C, "AU");
            attrs.Add(X509Name.O, "The Legion of the Bouncy Castle");
            attrs.Add(X509Name.L, "Melbourne");
            attrs.Add(X509Name.ST, "Victoria");
            attrs.Add(X509Name.E, "*****@*****.**");

            order.Add(X509Name.C);
            order.Add(X509Name.O);
            order.Add(X509Name.L);
            order.Add(X509Name.ST);
            order.Add(X509Name.E);


            //
            // ToString test
            //
            X509Name p = new X509Name(order, attrs);
            string s = p.ToString();

            if (!s.Equals("C=AU,O=The Legion of the Bouncy Castle,L=Melbourne,ST=Victoria,[email protected]"))
            {
                Fail("ordered X509Principal test failed - s = " + s + ".");
            }

            //
            // create the certificate - version 3
            //
            X509V3CertificateGenerator  certGen = new X509V3CertificateGenerator();

            certGen.SetSerialNumber(BigInteger.One);
            certGen.SetIssuerDN(new X509Name(order, attrs));
            certGen.SetNotBefore(DateTime.UtcNow.AddSeconds(-50));
            certGen.SetNotAfter(DateTime.UtcNow.AddSeconds(50));
            certGen.SetSubjectDN(new X509Name(order, attrs));
            certGen.SetPublicKey(pubKey);
            certGen.SetSignatureAlgorithm("SHA1withECDSA");

            try
            {
                X509Certificate cert = certGen.Generate(privKey);

                cert.CheckValidity(DateTime.UtcNow);

                cert.Verify(pubKey);

                X509CertificateParser fact = new X509CertificateParser();
                cert = fact.ReadCertificate(cert.GetEncoded());

                //
                // try with point compression turned off
                //
//				((ECPointEncoder)pubKey).setPointFormat("UNCOMPRESSED");
                ECPoint q = pubKey.Q.Normalize();
                pubKey = new ECPublicKeyParameters(
                    pubKey.AlgorithmName,
                    q.Curve.CreatePoint(q.XCoord.ToBigInteger(), q.YCoord.ToBigInteger()),
                    pubKey.Parameters);

                certGen.SetPublicKey(pubKey);

                cert = certGen.Generate(privKey);

                cert.CheckValidity(DateTime.UtcNow);

                cert.Verify(pubKey);

                cert = fact.ReadCertificate(cert.GetEncoded());

                // Console.WriteLine(cert);
            }
            catch (Exception e)
            {
                Fail("error setting generating cert - " + e.ToString());
            }

            X509Name pr = new X509Name("O=\"The Bouncy Castle, The Legion of\",[email protected],ST=Victoria,L=Melbourne,C=AU");

            if (!pr.ToString().Equals("O=The Bouncy Castle\\, The Legion of,[email protected],ST=Victoria,L=Melbourne,C=AU"))
            {
                Fail("string based X509Principal test failed.");
            }

            pr = new X509Name("O=The Bouncy Castle\\, The Legion of,[email protected],ST=Victoria,L=Melbourne,C=AU");

            if (!pr.ToString().Equals("O=The Bouncy Castle\\, The Legion of,[email protected],ST=Victoria,L=Melbourne,C=AU"))
            {
                Fail("string based X509Principal test failed.");
            }
        }
예제 #26
0
        /**
         * we Generate a self signed certificate for the sake of testing - SHA224withECDSA
         */
        private void createECCert(
            string				algorithm,
            DerObjectIdentifier	algOid)
        {
            FpCurve curve = new FpCurve(
                new BigInteger("6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057151"), // q (or p)
                new BigInteger("01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC", 16),   // a
                new BigInteger("0051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573DF883D2C34F1EF451FD46B503F00", 16));  // b

            ECDomainParameters spec = new ECDomainParameters(
                curve,
//				curve.DecodePoint(Hex.Decode("02C6858E06B70404E9CD9E3ECB662395B4429C648139053FB521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B3C1856A429BF97E7E31C2E5BD66")), // G
                curve.DecodePoint(Hex.Decode("0200C6858E06B70404E9CD9E3ECB662395B4429C648139053FB521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B3C1856A429BF97E7E31C2E5BD66")), // G
                new BigInteger("01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E91386409", 16)); // n

            ECPrivateKeyParameters privKey = new ECPrivateKeyParameters(
                "ECDSA",
                new BigInteger("5769183828869504557786041598510887460263120754767955773309066354712783118202294874205844512909370791582896372147797293913785865682804434049019366394746072023"), // d
                spec);

            ECPublicKeyParameters pubKey = new ECPublicKeyParameters(
                "ECDSA",
//				curve.DecodePoint(Hex.Decode("026BFDD2C9278B63C92D6624F151C9D7A822CC75BD983B17D25D74C26740380022D3D8FAF304781E416175EADF4ED6E2B47142D2454A7AC7801DD803CF44A4D1F0AC")), // Q
                curve.DecodePoint(Hex.Decode("02006BFDD2C9278B63C92D6624F151C9D7A822CC75BD983B17D25D74C26740380022D3D8FAF304781E416175EADF4ED6E2B47142D2454A7AC7801DD803CF44A4D1F0AC")), // Q
                spec);

//			//
//			// set up the keys
//			//
//			AsymmetricKeyParameter privKey;
//			AsymmetricKeyParameter pubKey;
//
//			KeyFactory fact = KeyFactory.GetInstance("ECDSA");
//
//			privKey = fact.generatePrivate(privKeySpec);
//			pubKey = fact.generatePublic(pubKeySpec);


            //
            // distinguished name table.
            //
            IDictionary attrs = new Hashtable();
            IList order = new ArrayList();

            attrs.Add(X509Name.C, "AU");
            attrs.Add(X509Name.O, "The Legion of the Bouncy Castle");
            attrs.Add(X509Name.L, "Melbourne");
            attrs.Add(X509Name.ST, "Victoria");
            attrs.Add(X509Name.E, "*****@*****.**");

            order.Add(X509Name.C);
            order.Add(X509Name.O);
            order.Add(X509Name.L);
            order.Add(X509Name.ST);
            order.Add(X509Name.E);

            //
            // create the certificate - version 3
            //
            X509V3CertificateGenerator certGen = new X509V3CertificateGenerator();

            certGen.SetSerialNumber(BigInteger.One);
            certGen.SetIssuerDN(new X509Name(order, attrs));
            certGen.SetNotBefore(DateTime.UtcNow.AddSeconds(-50));
            certGen.SetNotAfter(DateTime.UtcNow.AddSeconds(50));
            certGen.SetSubjectDN(new X509Name(order, attrs));
            certGen.SetPublicKey(pubKey);
            certGen.SetSignatureAlgorithm(algorithm);


            X509Certificate cert = certGen.Generate(privKey);

            cert.CheckValidity(DateTime.UtcNow);

            cert.Verify(pubKey);

            X509CertificateParser fact = new X509CertificateParser();
            cert = fact.ReadCertificate(cert.GetEncoded());

            //
            // try with point compression turned off
            //
//			((ECPointEncoder)pubKey).setPointFormat("UNCOMPRESSED");
            ECPoint q = pubKey.Q.Normalize();
            pubKey = new ECPublicKeyParameters(
                pubKey.AlgorithmName,
                q.Curve.CreatePoint(q.XCoord.ToBigInteger(), q.YCoord.ToBigInteger()),
                pubKey.Parameters);

            certGen.SetPublicKey(pubKey);

            cert = certGen.Generate(privKey);

            cert.CheckValidity(DateTime.UtcNow);

            cert.Verify(pubKey);

            cert = fact.ReadCertificate(cert.GetEncoded());

            if (!cert.SigAlgOid.Equals(algOid.ToString()))
            {
                Fail("ECDSA oid incorrect.");
            }

            if (cert.GetSigAlgParams() != null)
            {
                Fail("sig parameters present");
            }

            ISigner sig = SignerUtilities.GetSigner(algorithm);

            sig.Init(false, pubKey);

            byte[] b = cert.GetTbsCertificate();
            sig.BlockUpdate(b, 0, b.Length);

            if (!sig.VerifySignature(cert.GetSignature()))
            {
                Fail("EC certificate signature not mapped correctly.");
            }
            // Console.WriteLine(cert);
        }
예제 #27
0
		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
			//
			AsymmetricCipherKeyPair U1 = g.GenerateKeyPair();
			AsymmetricCipherKeyPair U2 = g.GenerateKeyPair();
			
			IBasicAgreement uAgree = AgreementUtilities.GetBasicAgreement("ECMQV");
			uAgree.Init(new MqvPrivateParameters(
				(ECPrivateKeyParameters)U1.Private,
				(ECPrivateKeyParameters)U2.Private,
				(ECPublicKeyParameters)U2.Public));
			
			//
			// V side
			//
			AsymmetricCipherKeyPair V1 = g.GenerateKeyPair();
			AsymmetricCipherKeyPair V2 = g.GenerateKeyPair();

			IBasicAgreement vAgree = AgreementUtilities.GetBasicAgreement("ECMQV");
			vAgree.Init(new MqvPrivateParameters(
				(ECPrivateKeyParameters)V1.Private,
				(ECPrivateKeyParameters)V2.Private,
				(ECPublicKeyParameters)V2.Public));
			
			//
			// agreement
			//
			BigInteger ux = uAgree.CalculateAgreement(new MqvPublicParameters(
				(ECPublicKeyParameters)V1.Public,
				(ECPublicKeyParameters)V2.Public));
			BigInteger vx = vAgree.CalculateAgreement(new MqvPublicParameters(
				(ECPublicKeyParameters)U1.Public,
				(ECPublicKeyParameters)U2.Public));

			if (!ux.Equals(vx))
			{
				Fail("Agreement failed");
			}
		}
        static ECGost3410NamedCurves()
        {
            BigInteger mod_p = new BigInteger("115792089237316195423570985008687907853269984665640564039457584007913129639319");
            BigInteger mod_q = new BigInteger("115792089237316195423570985008687907853073762908499243225378155805079068850323");

            FpCurve curve = new FpCurve(
                mod_p, // p
                new BigInteger("115792089237316195423570985008687907853269984665640564039457584007913129639316"), // a
                new BigInteger("166")); // b

            ECDomainParameters ecParams = new ECDomainParameters(
                curve,
				curve.CreatePoint(
					BigInteger.One, // x
					new BigInteger("64033881142927202683649881450433473985931760268884941288852745803908878638612"), // y
					false),
                mod_q);

			parameters[CryptoProObjectIdentifiers.GostR3410x2001CryptoProA] = ecParams;

            mod_p = new BigInteger("115792089237316195423570985008687907853269984665640564039457584007913129639319");
            mod_q = new BigInteger("115792089237316195423570985008687907853073762908499243225378155805079068850323");

            curve = new FpCurve(
                mod_p, // p
                new BigInteger("115792089237316195423570985008687907853269984665640564039457584007913129639316"),
                new BigInteger("166"));

            ecParams = new ECDomainParameters(
                curve,
				curve.CreatePoint(
					BigInteger.One, // x
					new BigInteger("64033881142927202683649881450433473985931760268884941288852745803908878638612"), // y
					false),
                mod_q);

            parameters[CryptoProObjectIdentifiers.GostR3410x2001CryptoProXchA] = ecParams;

            mod_p = new BigInteger("57896044618658097711785492504343953926634992332820282019728792003956564823193"); //p
            mod_q = new BigInteger("57896044618658097711785492504343953927102133160255826820068844496087732066703"); //q

            curve = new FpCurve(
                mod_p, // p
                new BigInteger("57896044618658097711785492504343953926634992332820282019728792003956564823190"), // a
                new BigInteger("28091019353058090096996979000309560759124368558014865957655842872397301267595")); // b

            ecParams = new ECDomainParameters(
                curve,
                curve.CreatePoint(
					BigInteger.One, // x
					new BigInteger("28792665814854611296992347458380284135028636778229113005756334730996303888124"), // y
					false),
                mod_q); // q

            parameters[CryptoProObjectIdentifiers.GostR3410x2001CryptoProB] = ecParams;

            mod_p = new BigInteger("70390085352083305199547718019018437841079516630045180471284346843705633502619");
            mod_q = new BigInteger("70390085352083305199547718019018437840920882647164081035322601458352298396601");

            curve = new FpCurve(
                mod_p, // p
                new BigInteger("70390085352083305199547718019018437841079516630045180471284346843705633502616"),
                new BigInteger("32858"));

            ecParams = new ECDomainParameters(
                curve,
                curve.CreatePoint(
					BigInteger.Zero, // x
					new BigInteger("29818893917731240733471273240314769927240550812383695689146495261604565990247"), // y
					false),
                mod_q);

            parameters[CryptoProObjectIdentifiers.GostR3410x2001CryptoProXchB] = ecParams;

            mod_p = new BigInteger("70390085352083305199547718019018437841079516630045180471284346843705633502619"); //p
            mod_q = new BigInteger("70390085352083305199547718019018437840920882647164081035322601458352298396601"); //q
            curve = new FpCurve(
                mod_p, // p
                new BigInteger("70390085352083305199547718019018437841079516630045180471284346843705633502616"), // a
                new BigInteger("32858")); // b

            ecParams = new ECDomainParameters(
                curve,
                curve.CreatePoint(
					BigInteger.Zero, // x
					new BigInteger("29818893917731240733471273240314769927240550812383695689146495261604565990247"), // y
					false),
                mod_q); // q

			parameters[CryptoProObjectIdentifiers.GostR3410x2001CryptoProC] = ecParams;

            objIds["GostR3410-2001-CryptoPro-A"] = CryptoProObjectIdentifiers.GostR3410x2001CryptoProA;
            objIds["GostR3410-2001-CryptoPro-B"] = CryptoProObjectIdentifiers.GostR3410x2001CryptoProB;
            objIds["GostR3410-2001-CryptoPro-C"] = CryptoProObjectIdentifiers.GostR3410x2001CryptoProC;
            objIds["GostR3410-2001-CryptoPro-XchA"] = CryptoProObjectIdentifiers.GostR3410x2001CryptoProXchA;
            objIds["GostR3410-2001-CryptoPro-XchB"] = CryptoProObjectIdentifiers.GostR3410x2001CryptoProXchB;

            names[CryptoProObjectIdentifiers.GostR3410x2001CryptoProA] = "GostR3410-2001-CryptoPro-A";
            names[CryptoProObjectIdentifiers.GostR3410x2001CryptoProB] = "GostR3410-2001-CryptoPro-B";
            names[CryptoProObjectIdentifiers.GostR3410x2001CryptoProC] = "GostR3410-2001-CryptoPro-C";
            names[CryptoProObjectIdentifiers.GostR3410x2001CryptoProXchA] = "GostR3410-2001-CryptoPro-XchA";
            names[CryptoProObjectIdentifiers.GostR3410x2001CryptoProXchB] = "GostR3410-2001-CryptoPro-XchB";
        }
예제 #29
0
        public static byte[] recoverPubBytesFromSignature(int recId,
                                                          ECDSASignature sig,
                                                          byte[] messageHash)
        {
            check(recId >= 0, "recId must be positive");
            check(sig.r.SignValue >= 0, "r must be positive");
            check(sig.s.SignValue >= 0, "s must be positive");
            check(messageHash != null, "messageHash must not be null");
            // 1.0 For j from 0 to h   (h == recId here and the loop is outside
            // this function)
            //   1.1 Let x = r + jn
            BigInteger n = ECKey.Curve.N;              // Curve order.
            BigInteger i = BigInteger.ValueOf((long)recId / 2);
            BigInteger x = sig.r.Add(i.Multiply(n));

            //   1.2. Convert the integer x to an octet string X of length mlen
            // using the conversion routine
            //        specified in Section 2.3.7, where mlen = ⌈(log2 p)/8⌉ or
            // mlen = ⌈m/8⌉.
            //   1.3. Convert the octet string (16 set binary digits)||X to an
            // elliptic curve point R using the
            //        conversion routine specified in Section 2.3.4. If this
            // conversion routine outputs “invalid”, then
            //        do another iteration of Step 1.
            //
            // More concisely, what these points mean is to use X as a compressed
            // public key.
            Org.BouncyCastle.Math.EC.FpCurve curve = (Org.BouncyCastle.Math.EC.FpCurve)ECKey.Curve.Curve;
            BigInteger prime = curve.Q;              // Bouncy Castle is not consistent

            // about the letter it uses for the prime.
            if (x.CompareTo(prime) >= 0)
            {
                // Cannot have point co-ordinates larger than this as everything
                // takes place modulo Q.
                return(null);
            }
            // Compressed allKeys require you to know an extra bit of data about the
            // y-coord as there are two possibilities.
            // So it's encoded in the recId.
            ECPoint R = decompressKey(x, (recId & 1) == 1);

            //   1.4. If nR != point at infinity, then do another iteration of
            // Step 1 (callers responsibility).
            if (!R.Multiply(n).IsInfinity)
            {
                return(null);
            }
            //   1.5. Compute e from M using Steps 2 and 3 of ECDSA signature
            // verification.
            BigInteger e = new BigInteger(1, messageHash);
            //   1.6. For k from 1 to 2 do the following.   (loop is outside this
            // function via iterating recId)
            //   1.6.1. Compute a candidate public key as:
            //               Q = mi(r) * (sR - eG)
            //
            // Where mi(x) is the modular multiplicative inverse. We transform
            // this into the following:
            //               Q = (mi(r) * s ** R) + (mi(r) * -e ** G)
            // Where -e is the modular additive inverse of e, that is z such that
            // z + e = 0 (mod n). In the above equation
            // ** is point multiplication and + is point addition (the EC group
            // operator).
            //
            // We can find the additive inverse by subtracting e from zero then
            // taking the mod. For example the additive
            // inverse of 3 modulo 11 is 8 because 3 + 8 mod 11 = 0, and -3 mod
            // 11 = 8.
            BigInteger eInv     = BigInteger.Zero.Subtract(e).Mod(n);
            BigInteger rInv     = sig.r.ModInverse(n);
            BigInteger srInv    = rInv.Multiply(sig.s).Mod(n);
            BigInteger eInvrInv = rInv.Multiply(eInv).Mod(n);
            FpPoint    q        = (FpPoint)ECAlgorithms.SumOfTwoMultiplies(ECKey.Params.G, eInvrInv, R, srInv);

            return(q.GetEncoded(/* compressed */ false));
        }
			protected override X9ECParameters CreateParameters()
			{
				ECCurve curve = new FpCurve(
					//new BigInteger("1B6F5CC8DB4DC7AF19458A9CB80DC2295E5EB9C3732104CB") //Z
					new BigInteger("C302F41D932A36CDA7A3463093D18DB78FCE476DE1A86297", 16), // q
					new BigInteger("C302F41D932A36CDA7A3463093D18DB78FCE476DE1A86294", 16), // a'
					new BigInteger("13D56FFAEC78681E68F9DEB43B35BEC2FB68542E27897B79", 16)); // b'

				return new X9ECParameters(
					curve,
					curve.DecodePoint(Hex.Decode("043AE9E58C82F63C30282E1FE7BBF43FA72C446AF6F4618129097E2C5667C2223A902AB5CA449D0084B7E5B3DE7CCC01C9")), // G'
					new BigInteger("C302F41D932A36CDA7A3462F9E9E916B5BE8F1029AC4ACC1", 16), //n
					new BigInteger("01", 16)); // h
			}
예제 #31
0
파일: ECCurve.cs 프로젝트: EnergonV/BestCS
 protected bool Equals(
     FpCurve other)
 {
     return(base.Equals(other) && q.Equals(other.q));
 }
			protected override X9ECParameters CreateParameters()
			{
				ECCurve curve = new FpCurve(
					new BigInteger("AADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA703308717D4D9B009BC66842AECDA12AE6A380E62881FF2F2D82C68528AA6056583A48F3", 16), // q
					new BigInteger("7830A3318B603B89E2327145AC234CC594CBDD8D3DF91610A83441CAEA9863BC2DED5D5AA8253AA10A2EF1C98B9AC8B57F1117A72BF2C7B9E7C1AC4D77FC94CA", 16), // a
					new BigInteger("3DF91610A83441CAEA9863BC2DED5D5AA8253AA10A2EF1C98B9AC8B57F1117A72BF2C7B9E7C1AC4D77FC94CADC083E67984050B75EBAE5DD2809BD638016F723", 16)); // b

				return new X9ECParameters(
					curve,
					curve.DecodePoint(Hex.Decode("0481AEE4BDD82ED9645A21322E9C4C6A9385ED9F70B5D916C1B43B62EEF4D0098EFF3B1F78E2D0D48D50D1687B93B97D5F7C6D5047406A5E688B352209BCB9F8227DDE385D566332ECC0EABFA9CF7822FDF209F70024A57B1AA000C55B881F8111B2DCDE494A5F485E5BCA4BD88A2763AED1CA2B2FA8F0540678CD1E0F3AD80892")), // G
					new BigInteger("AADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA70330870553E5C414CA92619418661197FAC10471DB1D381085DDADDB58796829CA90069", 16), //n
					new BigInteger("01", 16)); // h
			}
			protected override X9ECParameters CreateParameters()
			{
				ECCurve curve = new FpCurve(
					//new BigInteger("12EE58E6764838B69782136F0F2D3BA06E27695716054092E60A80BEDB212B64E585D90BCE13761F85C3F1D2A64E3BE8FEA2220F01EBA5EEB0F35DBD29D922AB") //Z
					new BigInteger("AADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA703308717D4D9B009BC66842AECDA12AE6A380E62881FF2F2D82C68528AA6056583A48F3", 16), // q
					new BigInteger("AADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA703308717D4D9B009BC66842AECDA12AE6A380E62881FF2F2D82C68528AA6056583A48F0", 16), // a'
					new BigInteger("7CBBBCF9441CFAB76E1890E46884EAE321F70C0BCB4981527897504BEC3E36A62BCDFA2304976540F6450085F2DAE145C22553B465763689180EA2571867423E", 16)); // b'

				return new X9ECParameters(
					curve,
					curve.DecodePoint(Hex.Decode("04640ECE5C12788717B9C1BA06CBC2A6FEBA85842458C56DDE9DB1758D39C0313D82BA51735CDB3EA499AA77A7D6943A64F7A3F25FE26F06B51BAA2696FA9035DA5B534BD595F5AF0FA2C892376C84ACE1BB4E3019B71634C01131159CAE03CEE9D9932184BEEF216BD71DF2DADF86A627306ECFF96DBB8BACE198B61E00F8B332")), // G'
					new BigInteger("AADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA70330870553E5C414CA92619418661197FAC10471DB1D381085DDADDB58796829CA90069", 16), //n
					new BigInteger("01", 16)); // h
			}