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The Bouncy Castle Crypto package is a Java implementation of cryptographic algorithms. This jar contains JCE provider and lightweight API for the Bouncy Castle Cryptography APIs for JDK 1.5 and up.

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package org.bouncycastle.crypto.test;

import java.math.BigInteger;
import java.security.SecureRandom;

import org.bouncycastle.asn1.ASN1Integer;
import org.bouncycastle.asn1.ASN1Sequence;
import org.bouncycastle.asn1.nist.NISTNamedCurves;
import org.bouncycastle.asn1.sec.SECNamedCurves;
import org.bouncycastle.asn1.x9.ECNamedCurveTable;
import org.bouncycastle.asn1.x9.X9ECParameters;
import org.bouncycastle.crypto.AsymmetricCipherKeyPair;
import org.bouncycastle.crypto.BasicAgreement;
import org.bouncycastle.crypto.StagedAgreement;
import org.bouncycastle.crypto.agreement.ECDHBasicAgreement;
import org.bouncycastle.crypto.agreement.ECDHCBasicAgreement;
import org.bouncycastle.crypto.agreement.ECDHCStagedAgreement;
import org.bouncycastle.crypto.agreement.ECDHCUnifiedAgreement;
import org.bouncycastle.crypto.agreement.ECMQVBasicAgreement;
import org.bouncycastle.crypto.digests.SHA3Digest;
import org.bouncycastle.crypto.ec.CustomNamedCurves;
import org.bouncycastle.crypto.generators.ECKeyPairGenerator;
import org.bouncycastle.crypto.params.AsymmetricKeyParameter;
import org.bouncycastle.crypto.params.ECDHUPrivateParameters;
import org.bouncycastle.crypto.params.ECDHUPublicParameters;
import org.bouncycastle.crypto.params.ECDomainParameters;
import org.bouncycastle.crypto.params.ECKeyGenerationParameters;
import org.bouncycastle.crypto.params.ECPrivateKeyParameters;
import org.bouncycastle.crypto.params.ECPublicKeyParameters;
import org.bouncycastle.crypto.params.MQVPrivateParameters;
import org.bouncycastle.crypto.params.MQVPublicParameters;
import org.bouncycastle.crypto.params.ParametersWithRandom;
import org.bouncycastle.crypto.signers.DSADigestSigner;
import org.bouncycastle.crypto.signers.ECDSASigner;
import org.bouncycastle.math.ec.ECConstants;
import org.bouncycastle.math.ec.ECCurve;
import org.bouncycastle.math.ec.ECPoint;
import org.bouncycastle.util.BigIntegers;
import org.bouncycastle.util.Strings;
import org.bouncycastle.util.encoders.Hex;
import org.bouncycastle.util.test.SimpleTest;
import org.bouncycastle.util.test.TestRandomBigInteger;

/**
 * ECDSA tests are taken from X9.62.
 */
public class ECTest
    extends SimpleTest
{
    /**
     * X9.62 - 1998,
* J.3.1, Page 152, ECDSA over the field Fp
* an example with 192 bit prime */ private void testECDSA192bitPrime() { BigInteger r = new BigInteger("3342403536405981729393488334694600415596881826869351677613"); BigInteger s = new BigInteger("5735822328888155254683894997897571951568553642892029982342"); byte[] kData = BigIntegers.asUnsignedByteArray(new BigInteger("6140507067065001063065065565667405560006161556565665656654")); SecureRandom k = new TestRandomBigInteger(kData); BigInteger n = new BigInteger("6277101735386680763835789423176059013767194773182842284081"); ECCurve.Fp curve = new ECCurve.Fp( new BigInteger("6277101735386680763835789423207666416083908700390324961279"), // q new BigInteger("fffffffffffffffffffffffffffffffefffffffffffffffc", 16), // a new BigInteger("64210519e59c80e70fa7e9ab72243049feb8deecc146b9b1", 16), // b n, ECConstants.ONE); ECDomainParameters params = new ECDomainParameters( curve, curve.decodePoint(Hex.decode("03188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012")), // G n); ECPrivateKeyParameters priKey = new ECPrivateKeyParameters( new BigInteger("651056770906015076056810763456358567190100156695615665659"), // d params); 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." + Strings.lineSeparator() + " expecting: " + r + Strings.lineSeparator() + " got : " + sig[0]); } if (!s.equals(sig[1])) { fail("s component wrong." + Strings.lineSeparator() + " expecting: " + s + Strings.lineSeparator() + " got : " + sig[1]); } // Verify the signature ECPublicKeyParameters pubKey = new ECPublicKeyParameters( curve.decodePoint(Hex.decode("0262b12d60690cdcf330babab6e69763b471f994dd702d16a5")), // Q params); ecdsa.init(false, pubKey); if (!ecdsa.verifySignature(message, sig[0], sig[1])) { fail("verification fails"); } } private void decodeTest() { X9ECParameters x9 = ECNamedCurveTable.getByName("prime192v1"); ECPoint p = x9.getG(); if (!p.getAffineXCoord().toBigInteger().equals(new BigInteger("188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012", 16))) { fail("x uncompressed incorrectly"); } if (!p.getAffineYCoord().toBigInteger().equals(new BigInteger("7192b95ffc8da78631011ed6b24cdd573f977a11e794811", 16))) { fail("y uncompressed incorrectly"); } byte[] encoding = p.getEncoded(true); if (!areEqual(encoding, Hex.decode("03188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012"))) { fail("point compressed incorrectly"); } } /** * X9.62 - 1998,
* J.3.2, Page 155, ECDSA over the field Fp
* an example with 239 bit prime */ private void testECDSA239bitPrime() { BigInteger r = new BigInteger("308636143175167811492622547300668018854959378758531778147462058306432176"); BigInteger s = new BigInteger("323813553209797357708078776831250505931891051755007842781978505179448783"); byte[] kData = BigIntegers.asUnsignedByteArray(new BigInteger("700000017569056646655505781757157107570501575775705779575555657156756655")); SecureRandom k = new TestRandomBigInteger(kData); BigInteger n = new BigInteger("883423532389192164791648750360308884807550341691627752275345424702807307"); ECCurve.Fp curve = new ECCurve.Fp( new BigInteger("883423532389192164791648750360308885314476597252960362792450860609699839"), // q new BigInteger("7fffffffffffffffffffffff7fffffffffff8000000000007ffffffffffc", 16), // a new BigInteger("6b016c3bdcf18941d0d654921475ca71a9db2fb27d1d37796185c2942c0a", 16), // b n, ECConstants.ONE); ECDomainParameters params = new ECDomainParameters( curve, curve.decodePoint(Hex.decode("020ffa963cdca8816ccc33b8642bedf905c3d358573d3f27fbbd3b3cb9aaaf")), // G n); ECPrivateKeyParameters priKey = new ECPrivateKeyParameters( new BigInteger("876300101507107567501066130761671078357010671067781776716671676178726717"), // d params); ECDSASigner ecdsa = new ECDSASigner(); ParametersWithRandom param = new ParametersWithRandom(priKey, k); ecdsa.init(true, param); byte[] message = new BigInteger("968236873715988614170569073515315707566766479517").toByteArray(); BigInteger[] sig = ecdsa.generateSignature(message); if (!r.equals(sig[0])) { fail("r component wrong." + Strings.lineSeparator() + " expecting: " + r + Strings.lineSeparator() + " got : " + sig[0]); } if (!s.equals(sig[1])) { fail("s component wrong." + Strings.lineSeparator() + " expecting: " + s + Strings.lineSeparator() + " got : " + sig[1]); } // Verify the signature ECPublicKeyParameters pubKey = new ECPublicKeyParameters( curve.decodePoint(Hex.decode("025b6dc53bc61a2548ffb0f671472de6c9521a9d2d2534e65abfcbd5fe0c70")), // Q params); ecdsa.init(false, pubKey); if (!ecdsa.verifySignature(message, sig[0], sig[1])) { fail("signature fails"); } } /** * X9.62 - 1998,
* J.2.1, Page 100, ECDSA over the field F2m
* an example with 191 bit binary field */ private void testECDSA191bitBinary() { BigInteger r = new BigInteger("87194383164871543355722284926904419997237591535066528048"); BigInteger s = new BigInteger("308992691965804947361541664549085895292153777025772063598"); byte[] kData = BigIntegers.asUnsignedByteArray(new BigInteger("1542725565216523985789236956265265265235675811949404040041")); SecureRandom k = new TestRandomBigInteger(kData); BigInteger n = new BigInteger("1569275433846670190958947355803350458831205595451630533029"); BigInteger h = BigInteger.valueOf(2); ECCurve.F2m curve = new ECCurve.F2m( 191, // m 9, //k new BigInteger("2866537B676752636A68F56554E12640276B649EF7526267", 16), // a new BigInteger("2E45EF571F00786F67B0081B9495A3D95462F5DE0AA185EC", 16), // b n, h); ECDomainParameters params = new ECDomainParameters( curve, curve.decodePoint(Hex.decode("0436B3DAF8A23206F9C4F299D7B21A9C369137F2C84AE1AA0D765BE73433B3F95E332932E70EA245CA2418EA0EF98018FB")), // G n, h); ECPrivateKeyParameters priKey = new ECPrivateKeyParameters( new BigInteger("1275552191113212300012030439187146164646146646466749494799"), // d params); ECDSASigner ecdsa = new ECDSASigner(); ParametersWithRandom param = new ParametersWithRandom(priKey, k); ecdsa.init(true, param); byte[] message = new BigInteger("968236873715988614170569073515315707566766479517").toByteArray(); BigInteger[] sig = ecdsa.generateSignature(message); if (!r.equals(sig[0])) { fail("r component wrong." + Strings.lineSeparator() + " expecting: " + r + Strings.lineSeparator() + " got : " + sig[0]); } if (!s.equals(sig[1])) { fail("s component wrong." + Strings.lineSeparator() + " expecting: " + s + Strings.lineSeparator() + " got : " + sig[1]); } // Verify the signature ECPublicKeyParameters pubKey = new ECPublicKeyParameters( curve.decodePoint(Hex.decode("045DE37E756BD55D72E3768CB396FFEB962614DEA4CE28A2E755C0E0E02F5FB132CAF416EF85B229BBB8E1352003125BA1")), // Q params); ecdsa.init(false, pubKey); if (!ecdsa.verifySignature(message, sig[0], sig[1])) { fail("signature fails"); } } /** * X9.62 - 1998,
* J.2.1, Page 100, ECDSA over the field F2m
* an example with 191 bit binary field */ private void testECDSA239bitBinary() { BigInteger r = new BigInteger("21596333210419611985018340039034612628818151486841789642455876922391552"); BigInteger s = new BigInteger("197030374000731686738334997654997227052849804072198819102649413465737174"); byte[] kData = BigIntegers.asUnsignedByteArray(new BigInteger("171278725565216523967285789236956265265265235675811949404040041670216363")); SecureRandom k = new TestRandomBigInteger(kData); BigInteger n = new BigInteger("220855883097298041197912187592864814557886993776713230936715041207411783"); BigInteger h = BigInteger.valueOf(4); ECCurve.F2m curve = new ECCurve.F2m( 239, // m 36, //k new BigInteger("32010857077C5431123A46B808906756F543423E8D27877578125778AC76", 16), // a new BigInteger("790408F2EEDAF392B012EDEFB3392F30F4327C0CA3F31FC383C422AA8C16", 16), // b n, h); ECDomainParameters params = new ECDomainParameters( curve, curve.decodePoint(Hex.decode("0457927098FA932E7C0A96D3FD5B706EF7E5F5C156E16B7E7C86038552E91D61D8EE5077C33FECF6F1A16B268DE469C3C7744EA9A971649FC7A9616305")), // G n, h); ECPrivateKeyParameters priKey = new ECPrivateKeyParameters( new BigInteger("145642755521911534651321230007534120304391871461646461466464667494947990"), // d params); ECDSASigner ecdsa = new ECDSASigner(); ParametersWithRandom param = new ParametersWithRandom(priKey, k); ecdsa.init(true, param); byte[] message = new BigInteger("968236873715988614170569073515315707566766479517").toByteArray(); BigInteger[] sig = ecdsa.generateSignature(message); if (!r.equals(sig[0])) { fail("r component wrong." + Strings.lineSeparator() + " expecting: " + r + Strings.lineSeparator() + " got : " + sig[0]); } if (!s.equals(sig[1])) { fail("s component wrong." + Strings.lineSeparator() + " expecting: " + s + Strings.lineSeparator() + " got : " + sig[1]); } // Verify the signature ECPublicKeyParameters pubKey = new ECPublicKeyParameters( curve.decodePoint(Hex.decode("045894609CCECF9A92533F630DE713A958E96C97CCB8F5ABB5A688A238DEED6DC2D9D0C94EBFB7D526BA6A61764175B99CB6011E2047F9F067293F57F5")), // Q params); ecdsa.init(false, pubKey); if (!ecdsa.verifySignature(message, sig[0], sig[1])) { fail("signature fails"); } } // L 4.1 X9.62 2005 private void testECDSAP224sha224() { X9ECParameters p = NISTNamedCurves.getByName("P-224"); ECDomainParameters params = new ECDomainParameters(p.getCurve(), p.getG(), p.getN(), p.getH()); ECPrivateKeyParameters priKey = new ECPrivateKeyParameters( new BigInteger("6081831502424510080126737029209236539191290354021104541805484120491"), // d params); SecureRandom k = new TestRandomBigInteger(BigIntegers.asUnsignedByteArray(new BigInteger("15456715103636396133226117016818339719732885723579037388121116732601"))); byte[] M = Hex.decode("8797A3C693CC292441039A4E6BAB7387F3B4F2A63D00ED384B378C79"); ECDSASigner dsa = new ECDSASigner(); dsa.init(true, new ParametersWithRandom(priKey, k)); BigInteger[] sig = dsa.generateSignature(M); BigInteger r = new BigInteger("26477406756127720855365980332052585411804331993436302005017227573742"); BigInteger s = new BigInteger("17694958233103667059888193972742186995283044672015112738919822429978"); if (!r.equals(sig[0])) { fail("r component wrong." + Strings.lineSeparator() + " expecting: " + r + Strings.lineSeparator() + " got : " + sig[0]); } if (!s.equals(sig[1])) { fail("s component wrong." + Strings.lineSeparator() + " expecting: " + s + Strings.lineSeparator() + " got : " + sig[1]); } // Verify the signature ECPublicKeyParameters pubKey = new ECPublicKeyParameters( params.getCurve().decodePoint(Hex.decode("03FD44EC11F9D43D9D23B1E1D1C9ED6519B40ECF0C79F48CF476CC43F1")), // Q params); dsa.init(false, pubKey); if (!dsa.verifySignature(M, sig[0], sig[1])) { fail("signature fails"); } } private void testECDSASecP224k1sha256() { X9ECParameters p = SECNamedCurves.getByName("secp224k1"); ECDomainParameters params = new ECDomainParameters(p.getCurve(), p.getG(), p.getN(), p.getH()); ECPrivateKeyParameters priKey = new ECPrivateKeyParameters( new BigInteger("BE6F6E91FE96840A6518B56F3FE21689903A64FA729057AB872A9F51", 16), // d params); SecureRandom k = new TestRandomBigInteger(Hex.decode("00c39beac93db21c3266084429eb9b846b787c094f23a4de66447efbb3")); byte[] M = Hex.decode("E5D5A7ADF73C5476FAEE93A2C76CE94DC0557DB04CDC189504779117920B896D"); ECDSASigner dsa = new ECDSASigner(); dsa.init(true, new ParametersWithRandom(priKey, k)); BigInteger[] sig = dsa.generateSignature(M); BigInteger r = new BigInteger("8163E5941BED41DA441B33E653C632A55A110893133351E20CE7CB75", 16); BigInteger s = new BigInteger("D12C3FC289DDD5F6890DCE26B65792C8C50E68BF551D617D47DF15A8", 16); if (!r.equals(sig[0])) { fail("r component wrong." + Strings.lineSeparator() + " expecting: " + r + Strings.lineSeparator() + " got : " + sig[0]); } if (!s.equals(sig[1])) { fail("s component wrong." + Strings.lineSeparator() + " expecting: " + s + Strings.lineSeparator() + " got : " + sig[1]); } // Verify the signature ECPublicKeyParameters pubKey = new ECPublicKeyParameters( params.getCurve().decodePoint(Hex.decode("04C5C9B38D3603FCCD6994CBB9594E152B658721E483669BB42728520F484B537647EC816E58A8284D3B89DFEDB173AFDC214ECA95A836FA7C")), // Q params); dsa.init(false, pubKey); if (!dsa.verifySignature(M, sig[0], sig[1])) { fail("signature fails"); } } // L4.2 X9.62 2005 private void testECDSAP256sha256() { X9ECParameters p = NISTNamedCurves.getByName("P-256"); ECDomainParameters params = new ECDomainParameters(p.getCurve(), p.getG(), p.getN(), p.getH()); ECPrivateKeyParameters priKey = new ECPrivateKeyParameters( new BigInteger("20186677036482506117540275567393538695075300175221296989956723148347484984008"), // d params); SecureRandom k = new TestRandomBigInteger(BigIntegers.asUnsignedByteArray(new BigInteger("72546832179840998877302529996971396893172522460793442785601695562409154906335"))); byte[] M = Hex.decode("1BD4ED430B0F384B4E8D458EFF1A8A553286D7AC21CB2F6806172EF5F94A06AD"); ECDSASigner dsa = new ECDSASigner(); dsa.init(true, new ParametersWithRandom(priKey, k)); BigInteger[] sig = dsa.generateSignature(M); BigInteger r = new BigInteger("97354732615802252173078420023658453040116611318111190383344590814578738210384"); BigInteger s = new BigInteger("98506158880355671805367324764306888225238061309262649376965428126566081727535"); if (!r.equals(sig[0])) { fail("r component wrong." + Strings.lineSeparator() + " expecting: " + r + Strings.lineSeparator() + " got : " + sig[0]); } if (!s.equals(sig[1])) { fail("s component wrong." + Strings.lineSeparator() + " expecting: " + s + Strings.lineSeparator() + " got : " + sig[1]); } // Verify the signature ECPublicKeyParameters pubKey = new ECPublicKeyParameters( params.getCurve().decodePoint(Hex.decode("03596375E6CE57E0F20294FC46BDFCFD19A39F8161B58695B3EC5B3D16427C274D")), // Q params); dsa.init(false, pubKey); if (!dsa.verifySignature(M, sig[0], sig[1])) { fail("signature fails"); } } private void testECDSAP256sha3(int size, BigInteger s) { X9ECParameters p = NISTNamedCurves.getByName("P-256"); ECDomainParameters params = new ECDomainParameters(p.getCurve(), p.getG(), p.getN(), p.getH()); ECPrivateKeyParameters priKey = new ECPrivateKeyParameters( new BigInteger("20186677036482506117540275567393538695075300175221296989956723148347484984008"), // d params); SecureRandom k = new TestRandomBigInteger(BigIntegers.asUnsignedByteArray(new BigInteger("72546832179840998877302529996971396893172522460793442785601695562409154906335"))); byte[] M = Hex.decode("1BD4ED430B0F384B4E8D458EFF1A8A553286D7AC21CB2F6806172EF5F94A06AD"); DSADigestSigner dsa = new DSADigestSigner(new ECDSASigner(), new SHA3Digest(size)); dsa.init(true, new ParametersWithRandom(priKey, k)); dsa.update(M, 0, M.length); byte[] encSig = dsa.generateSignature(); ASN1Sequence sig = ASN1Sequence.getInstance(encSig); BigInteger r = new BigInteger("97354732615802252173078420023658453040116611318111190383344590814578738210384"); BigInteger sigR = ASN1Integer.getInstance(sig.getObjectAt(0)).getValue(); if (!r.equals(sigR)) { fail("r component wrong." + Strings.lineSeparator() + " expecting: " + r.toString(16) + Strings.lineSeparator() + " got : " + sigR.toString(16)); } BigInteger sigS = ASN1Integer.getInstance(sig.getObjectAt(1)).getValue(); if (!s.equals(sigS)) { fail("s component wrong." + Strings.lineSeparator() + " expecting: " + s.toString(16) + Strings.lineSeparator() + " got : " + sigS.toString(16)); } // Verify the signature ECPublicKeyParameters pubKey = new ECPublicKeyParameters( params.getCurve().decodePoint(Hex.decode("03596375E6CE57E0F20294FC46BDFCFD19A39F8161B58695B3EC5B3D16427C274D")), // Q params); dsa.init(false, pubKey); dsa.update(M, 0, M.length); if (!dsa.verifySignature(encSig)) { fail("signature fails"); } } private void testECDSAP224OneByteOver() { X9ECParameters p = NISTNamedCurves.getByName("P-224"); ECDomainParameters params = new ECDomainParameters(p.getCurve(), p.getG(), p.getN(), p.getH()); ECPrivateKeyParameters priKey = new ECPrivateKeyParameters( new BigInteger("6081831502424510080126737029209236539191290354021104541805484120491"), // d params); SecureRandom k = new TestRandomBigInteger(BigIntegers.asUnsignedByteArray(new BigInteger("15456715103636396133226117016818339719732885723579037388121116732601"))); byte[] M = Hex.decode("8797A3C693CC292441039A4E6BAB7387F3B4F2A63D00ED384B378C79FF"); ECDSASigner dsa = new ECDSASigner(); dsa.init(true, new ParametersWithRandom(priKey, k)); BigInteger[] sig = dsa.generateSignature(M); BigInteger r = new BigInteger("26477406756127720855365980332052585411804331993436302005017227573742"); BigInteger s = new BigInteger("17694958233103667059888193972742186995283044672015112738919822429978"); if (!r.equals(sig[0])) { fail("r component wrong." + Strings.lineSeparator() + " expecting: " + r + Strings.lineSeparator() + " got : " + sig[0]); } if (!s.equals(sig[1])) { fail("s component wrong." + Strings.lineSeparator() + " expecting: " + s + Strings.lineSeparator() + " got : " + sig[1]); } // Verify the signature ECPublicKeyParameters pubKey = new ECPublicKeyParameters( params.getCurve().decodePoint(Hex.decode("03FD44EC11F9D43D9D23B1E1D1C9ED6519B40ECF0C79F48CF476CC43F1")), // Q params); dsa.init(false, pubKey); if (!dsa.verifySignature(M, sig[0], sig[1])) { fail("signature fails"); } } // L4.3 X9.62 2005 private void testECDSAP521sha512() { X9ECParameters p = NISTNamedCurves.getByName("P-521"); ECDomainParameters params = new ECDomainParameters(p.getCurve(), p.getG(), p.getN(), p.getH()); ECPrivateKeyParameters priKey = new ECPrivateKeyParameters( new BigInteger("617573726813476282316253885608633222275541026607493641741273231656161177732180358888434629562647985511298272498852936680947729040673640492310550142822667389"), // d params); SecureRandom k = new TestRandomBigInteger(BigIntegers.asUnsignedByteArray(new BigInteger("6806532878215503520845109818432174847616958675335397773700324097584974639728725689481598054743894544060040710846048585856076812050552869216017728862957612913"))); byte[] M = Hex.decode("6893B64BD3A9615C39C3E62DDD269C2BAAF1D85915526083183CE14C2E883B48B193607C1ED871852C9DF9C3147B574DC1526C55DE1FE263A676346A20028A66"); ECDSASigner dsa = new ECDSASigner(); dsa.init(true, new ParametersWithRandom(priKey, k)); BigInteger[] sig = dsa.generateSignature(M); BigInteger r = new BigInteger("1368926195812127407956140744722257403535864168182534321188553460365652865686040549247096155740756318290773648848859639978618869784291633651685766829574104630"); BigInteger s = new BigInteger("1624754720348883715608122151214003032398685415003935734485445999065609979304811509538477657407457976246218976767156629169821116579317401249024208611945405790"); if (!r.equals(sig[0])) { fail("r component wrong." + Strings.lineSeparator() + " expecting: " + r + Strings.lineSeparator() + " got : " + sig[0]); } if (!s.equals(sig[1])) { fail("s component wrong." + Strings.lineSeparator() + " expecting: " + s + Strings.lineSeparator() + " got : " + sig[1]); } // Verify the signature ECPublicKeyParameters pubKey = new ECPublicKeyParameters( params.getCurve().decodePoint(Hex.decode("020145E221AB9F71C5FE740D8D2B94939A09E2816E2167A7D058125A06A80C014F553E8D6764B048FB6F2B687CEC72F39738F223D4CE6AFCBFF2E34774AA5D3C342CB3")), // Q params); dsa.init(false, pubKey); if (!dsa.verifySignature(M, sig[0], sig[1])) { fail("signature fails"); } } /** * General test for long digest. */ private void testECDSA239bitBinaryAndLargeDigest() { BigInteger r = new BigInteger("21596333210419611985018340039034612628818151486841789642455876922391552"); BigInteger s = new BigInteger("144940322424411242416373536877786566515839911620497068645600824084578597"); byte[] kData = BigIntegers.asUnsignedByteArray(new BigInteger("171278725565216523967285789236956265265265235675811949404040041670216363")); SecureRandom k = new TestRandomBigInteger(kData); BigInteger n = new BigInteger("220855883097298041197912187592864814557886993776713230936715041207411783"); BigInteger h = BigInteger.valueOf(4); ECCurve.F2m curve = new ECCurve.F2m( 239, // m 36, //k new BigInteger("32010857077C5431123A46B808906756F543423E8D27877578125778AC76", 16), // a new BigInteger("790408F2EEDAF392B012EDEFB3392F30F4327C0CA3F31FC383C422AA8C16", 16), // b n, h); ECDomainParameters params = new ECDomainParameters( curve, curve.decodePoint(Hex.decode("0457927098FA932E7C0A96D3FD5B706EF7E5F5C156E16B7E7C86038552E91D61D8EE5077C33FECF6F1A16B268DE469C3C7744EA9A971649FC7A9616305")), // G n, h); ECPrivateKeyParameters priKey = new ECPrivateKeyParameters( new BigInteger("145642755521911534651321230007534120304391871461646461466464667494947990"), // d params); ECDSASigner ecdsa = new ECDSASigner(); ParametersWithRandom param = new ParametersWithRandom(priKey, k); ecdsa.init(true, param); byte[] message = new BigInteger("968236873715988614170569073515315707566766479517968236873715988614170569073515315707566766479517968236873715988614170569073515315707566766479517").toByteArray(); BigInteger[] sig = ecdsa.generateSignature(message); if (!r.equals(sig[0])) { fail("r component wrong." + Strings.lineSeparator() + " expecting: " + r + Strings.lineSeparator() + " got : " + sig[0]); } if (!s.equals(sig[1])) { fail("s component wrong." + Strings.lineSeparator() + " expecting: " + s + Strings.lineSeparator() + " got : " + sig[1]); } // Verify the signature ECPublicKeyParameters pubKey = new ECPublicKeyParameters( curve.decodePoint(Hex.decode("045894609CCECF9A92533F630DE713A958E96C97CCB8F5ABB5A688A238DEED6DC2D9D0C94EBFB7D526BA6A61764175B99CB6011E2047F9F067293F57F5")), // Q params); ecdsa.init(false, pubKey); if (!ecdsa.verifySignature(message, sig[0], sig[1])) { fail("signature fails"); } } /** * key generation test */ private void testECDSAKeyGenTest() { SecureRandom random = new SecureRandom(); BigInteger n = new BigInteger("883423532389192164791648750360308884807550341691627752275345424702807307"); ECCurve.Fp curve = new ECCurve.Fp( new BigInteger("883423532389192164791648750360308885314476597252960362792450860609699839"), // q new BigInteger("7fffffffffffffffffffffff7fffffffffff8000000000007ffffffffffc", 16), // a new BigInteger("6b016c3bdcf18941d0d654921475ca71a9db2fb27d1d37796185c2942c0a", 16), // b n, ECConstants.ONE); ECDomainParameters params = new ECDomainParameters( curve, curve.decodePoint(Hex.decode("020ffa963cdca8816ccc33b8642bedf905c3d358573d3f27fbbd3b3cb9aaaf")), // G n); ECKeyPairGenerator pGen = new ECKeyPairGenerator(); ECKeyGenerationParameters genParam = new ECKeyGenerationParameters( params, random); pGen.init(genParam); AsymmetricCipherKeyPair pair = pGen.generateKeyPair(); ParametersWithRandom param = new ParametersWithRandom(pair.getPrivate(), random); ECDSASigner ecdsa = new ECDSASigner(); ecdsa.init(true, param); byte[] message = new BigInteger("968236873715988614170569073515315707566766479517").toByteArray(); BigInteger[] sig = ecdsa.generateSignature(message); ecdsa.init(false, pair.getPublic()); if (!ecdsa.verifySignature(message, sig[0], sig[1])) { fail("signature fails"); } } /** * Basic Key Agreement Test */ private void testECDHBasicAgreement() { SecureRandom random = new SecureRandom(); BigInteger n = new BigInteger("883423532389192164791648750360308884807550341691627752275345424702807307"); ECCurve.Fp curve = new ECCurve.Fp( new BigInteger("883423532389192164791648750360308885314476597252960362792450860609699839"), // q new BigInteger("7fffffffffffffffffffffff7fffffffffff8000000000007ffffffffffc", 16), // a new BigInteger("6b016c3bdcf18941d0d654921475ca71a9db2fb27d1d37796185c2942c0a", 16), // b n, ECConstants.ONE); ECDomainParameters params = new ECDomainParameters( curve, curve.decodePoint(Hex.decode("020ffa963cdca8816ccc33b8642bedf905c3d358573d3f27fbbd3b3cb9aaaf")), // G n); ECKeyPairGenerator pGen = new ECKeyPairGenerator(); ECKeyGenerationParameters genParam = new ECKeyGenerationParameters( params, random); pGen.init(genParam); AsymmetricCipherKeyPair p1 = pGen.generateKeyPair(); AsymmetricCipherKeyPair p2 = pGen.generateKeyPair(); // // two way // BasicAgreement e1 = new ECDHBasicAgreement(); BasicAgreement e2 = new ECDHBasicAgreement(); e1.init(p1.getPrivate()); e2.init(p2.getPrivate()); BigInteger k1 = e1.calculateAgreement(p2.getPublic()); BigInteger k2 = e2.calculateAgreement(p1.getPublic()); if (!k1.equals(k2)) { fail("calculated agreement test failed"); } // // two way // e1 = new ECDHCBasicAgreement(); e2 = new ECDHCBasicAgreement(); e1.init(p1.getPrivate()); e2.init(p2.getPrivate()); k1 = e1.calculateAgreement(p2.getPublic()); k2 = e2.calculateAgreement(p1.getPublic()); if (!k1.equals(k2)) { fail("calculated agreement test failed"); } } private void testECDHBasicAgreementCofactor() { SecureRandom random = new SecureRandom(); X9ECParameters x9 = CustomNamedCurves.getByName("curve25519"); ECDomainParameters ec = new ECDomainParameters(x9.getCurve(), x9.getG(), x9.getN(), x9.getH(), x9.getSeed()); ECKeyPairGenerator kpg = new ECKeyPairGenerator(); kpg.init(new ECKeyGenerationParameters(ec, random)); AsymmetricCipherKeyPair p1 = kpg.generateKeyPair(); AsymmetricCipherKeyPair p2 = kpg.generateKeyPair(); BasicAgreement e1 = new ECDHBasicAgreement(); BasicAgreement e2 = new ECDHBasicAgreement(); e1.init(p1.getPrivate()); e2.init(p2.getPrivate()); BigInteger k1 = e1.calculateAgreement(p2.getPublic()); BigInteger k2 = e2.calculateAgreement(p1.getPublic()); if (!k1.equals(k2)) { fail("calculated agreement test failed"); } } private void testECDHStagedAgreement() { SecureRandom random = new SecureRandom(); X9ECParameters x9 = CustomNamedCurves.getByName("curve25519"); ECDomainParameters ec = new ECDomainParameters(x9.getCurve(), x9.getG(), x9.getN(), x9.getH(), x9.getSeed()); ECKeyPairGenerator kpg = new ECKeyPairGenerator(); kpg.init(new ECKeyGenerationParameters(ec, random)); AsymmetricCipherKeyPair p1 = kpg.generateKeyPair(); AsymmetricCipherKeyPair p2 = kpg.generateKeyPair(); AsymmetricCipherKeyPair p3 = kpg.generateKeyPair(); StagedAgreement e1 = new ECDHCStagedAgreement(); StagedAgreement e2 = new ECDHCStagedAgreement(); StagedAgreement e3 = new ECDHCStagedAgreement(); e1.init(p1.getPrivate()); e2.init(p2.getPrivate()); e3.init(p3.getPrivate()); AsymmetricKeyParameter stage1_12 = e1.calculateStage(p2.getPublic()); AsymmetricKeyParameter stage1_23 = e2.calculateStage(p3.getPublic()); AsymmetricKeyParameter stage1_31 = e3.calculateStage(p1.getPublic()); BigInteger k1 = e1.calculateAgreement(stage1_23); BigInteger k2 = e2.calculateAgreement(stage1_31); BigInteger k3 = e3.calculateAgreement(stage1_12); if (!k1.equals(k2)) { fail("1-2 calculated agreement test failed"); } if (!k3.equals(k2)) { fail("3-2 calculated agreement test failed"); } } private void testECMQVTestVector1() { // Test Vector from GEC-2 X9ECParameters x9 = SECNamedCurves.getByName("secp160r1"); ECDomainParameters p = new ECDomainParameters( x9.getCurve(), x9.getG(), x9.getN(), x9.getH(), x9.getSeed()); AsymmetricCipherKeyPair U1 = new AsymmetricCipherKeyPair( new ECPublicKeyParameters( p.getCurve().decodePoint(Hex.decode("0251B4496FECC406ED0E75A24A3C03206251419DC0")), p), new ECPrivateKeyParameters( new BigInteger("AA374FFC3CE144E6B073307972CB6D57B2A4E982", 16), p)); AsymmetricCipherKeyPair U2 = new AsymmetricCipherKeyPair( new ECPublicKeyParameters( p.getCurve().decodePoint(Hex.decode("03D99CE4D8BF52FA20BD21A962C6556B0F71F4CA1F")), p), new ECPrivateKeyParameters( new BigInteger("149EC7EA3A220A887619B3F9E5B4CA51C7D1779C", 16), p)); AsymmetricCipherKeyPair V1 = new AsymmetricCipherKeyPair( new ECPublicKeyParameters( p.getCurve().decodePoint(Hex.decode("0349B41E0E9C0369C2328739D90F63D56707C6E5BC")), p), new ECPrivateKeyParameters( new BigInteger("45FB58A92A17AD4B15101C66E74F277E2B460866", 16), p)); AsymmetricCipherKeyPair V2 = new AsymmetricCipherKeyPair( new ECPublicKeyParameters( p.getCurve().decodePoint(Hex.decode("02706E5D6E1F640C6E9C804E75DBC14521B1E5F3B5")), p), new ECPrivateKeyParameters( new BigInteger("18C13FCED9EADF884F7C595C8CB565DEFD0CB41E", 16), p)); BigInteger x = calculateAgreement(U1, U2, V1, V2); if (x == null || !x.equals(new BigInteger("5A6955CEFDB4E43255FB7FCF718611E4DF8E05AC", 16))) { fail("MQV Test Vector #1 agreement failed"); } } private void testECMQVTestVector2() { // Test Vector from GEC-2 X9ECParameters x9 = SECNamedCurves.getByName("sect163k1"); ECDomainParameters p = new ECDomainParameters( x9.getCurve(), x9.getG(), x9.getN(), x9.getH(), x9.getSeed()); AsymmetricCipherKeyPair U1 = new AsymmetricCipherKeyPair( new ECPublicKeyParameters( p.getCurve().decodePoint(Hex.decode("03037D529FA37E42195F10111127FFB2BB38644806BC")), p), new ECPrivateKeyParameters( new BigInteger("03A41434AA99C2EF40C8495B2ED9739CB2155A1E0D", 16), p)); AsymmetricCipherKeyPair U2 = new AsymmetricCipherKeyPair( new ECPublicKeyParameters( p.getCurve().decodePoint(Hex.decode("02015198E74BC2F1E5C9A62B80248DF0D62B9ADF8429")), p), new ECPrivateKeyParameters( new BigInteger("032FC4C61A8211E6A7C4B8B0C03CF35F7CF20DBD52", 16), p)); AsymmetricCipherKeyPair V1 = new AsymmetricCipherKeyPair( new ECPublicKeyParameters( p.getCurve().decodePoint(Hex.decode("03072783FAAB9549002B4F13140B88132D1C75B3886C")), p), new ECPrivateKeyParameters( new BigInteger("57E8A78E842BF4ACD5C315AA0569DB1703541D96", 16), p)); AsymmetricCipherKeyPair V2 = new AsymmetricCipherKeyPair( new ECPublicKeyParameters( p.getCurve().decodePoint(Hex.decode("03067E3AEA3510D69E8EDD19CB2A703DDC6CF5E56E32")), p), new ECPrivateKeyParameters( new BigInteger("02BD198B83A667A8D908EA1E6F90FD5C6D695DE94F", 16), p)); BigInteger x = calculateAgreement(U1, U2, V1, V2); if (x == null || !x.equals(new BigInteger("038359FFD30C0D5FC1E6154F483B73D43E5CF2B503", 16))) { fail("MQV Test Vector #2 agreement failed"); } } private void testECMQVRandom() { SecureRandom random = new SecureRandom(); BigInteger n = new BigInteger("883423532389192164791648750360308884807550341691627752275345424702807307"); ECCurve.Fp curve = new ECCurve.Fp( new BigInteger("883423532389192164791648750360308885314476597252960362792450860609699839"), // q new BigInteger("7fffffffffffffffffffffff7fffffffffff8000000000007ffffffffffc", 16), // a new BigInteger("6b016c3bdcf18941d0d654921475ca71a9db2fb27d1d37796185c2942c0a", 16), // b n, ECConstants.ONE); ECDomainParameters parameters = new ECDomainParameters( curve, curve.decodePoint(Hex.decode("020ffa963cdca8816ccc33b8642bedf905c3d358573d3f27fbbd3b3cb9aaaf")), // G n); ECKeyPairGenerator pGen = new ECKeyPairGenerator(); pGen.init(new ECKeyGenerationParameters(parameters, random)); // Pre-established key pairs AsymmetricCipherKeyPair U1 = pGen.generateKeyPair(); AsymmetricCipherKeyPair V1 = pGen.generateKeyPair(); // Ephemeral key pairs AsymmetricCipherKeyPair U2 = pGen.generateKeyPair(); AsymmetricCipherKeyPair V2 = pGen.generateKeyPair(); BigInteger x = calculateAgreement(U1, U2, V1, V2); if (x == null) { fail("MQV Test Vector (random) agreement failed"); } } private static BigInteger calculateAgreement( AsymmetricCipherKeyPair U1, AsymmetricCipherKeyPair U2, AsymmetricCipherKeyPair V1, AsymmetricCipherKeyPair V2) { ECMQVBasicAgreement u = new ECMQVBasicAgreement(); u.init(new MQVPrivateParameters( (ECPrivateKeyParameters)U1.getPrivate(), (ECPrivateKeyParameters)U2.getPrivate(), (ECPublicKeyParameters)U2.getPublic())); BigInteger ux = u.calculateAgreement(new MQVPublicParameters( (ECPublicKeyParameters)V1.getPublic(), (ECPublicKeyParameters)V2.getPublic())); ECMQVBasicAgreement v = new ECMQVBasicAgreement(); v.init(new MQVPrivateParameters( (ECPrivateKeyParameters)V1.getPrivate(), (ECPrivateKeyParameters)V2.getPrivate(), (ECPublicKeyParameters)V2.getPublic())); BigInteger vx = v.calculateAgreement(new MQVPublicParameters( (ECPublicKeyParameters)U1.getPublic(), (ECPublicKeyParameters)U2.getPublic())); if (ux.equals(vx)) { return ux; } return null; } private void testECUnifiedTestVector1() { // Test Vector from NIST sample data X9ECParameters x9 = NISTNamedCurves.getByName("P-224"); ECDomainParameters p = new ECDomainParameters( x9.getCurve(), x9.getG(), x9.getN(), x9.getH(), x9.getSeed()); AsymmetricCipherKeyPair U1 = new AsymmetricCipherKeyPair( new ECPublicKeyParameters( p.getCurve().decodePoint(Hex.decode("040784e946ef1fae0cfe127042a310a018ba639d3f6b41f265904f0a7b21b7953efe638b45e6c0c0d34a883a510ce836d143d831daa9ce8a12")), p), new ECPrivateKeyParameters( new BigInteger("86d1735ca357890aeec8eccb4859275151356ecee9f1b2effb76b092", 16), p)); AsymmetricCipherKeyPair U2 = new AsymmetricCipherKeyPair( new ECPublicKeyParameters( p.getCurve().decodePoint(Hex.decode("04b33713dc0d56215be26ee6c5e60ad36d12e02e78529ae3ff07873c6b39598bda41c1cf86ee3981f40e102333c15fef214bda034291c1aca6")), p), new ECPrivateKeyParameters( new BigInteger("764010b3137ef8d34a3552955ada572a4fa1bb1f5289f27c1bf18344", 16), p)); AsymmetricCipherKeyPair V1 = new AsymmetricCipherKeyPair( new ECPublicKeyParameters( p.getCurve().decodePoint(Hex.decode("0484c22d9575d09e280613c8758467f84869c6eede4f6c1b644517d6a72c4fc5c68fa12b4c259032fc5949c630259948fca38fb3342d9cb0a8")), p), new ECPrivateKeyParameters( new BigInteger("e37964e391f5058fb43435352a9913438a1ec10831f755273285230a", 16), p)); AsymmetricCipherKeyPair V2 = new AsymmetricCipherKeyPair( new ECPublicKeyParameters( p.getCurve().decodePoint(Hex.decode("044b917e9ce693b277c8095e535ea81c2dea089446a8c55438eda750fb6170c85b86390481fff2dff94b7dff3e42d35ff623921cb558967b48")), p), new ECPrivateKeyParameters( new BigInteger("ab40d67f59ba7265d8ad33ade8f704d13a7ba2298b69172a7cd02515", 16), p)); byte[] x = calculateUnifiedAgreement(U1, U2, V1, V2); if (x == null || !areEqual(Hex.decode("80315a208b1cd6119264e5c03242b7db96379986fdc4c2f06bf88d0655cda75d4dc7e94a8df9f03239d5da9a18d364cebc6c63f01b6f4378"), x)) { fail("EC combined Test Vector #1 agreement failed"); } } private void testECUnifiedTestVector2() { // Test Vector from NIST sample data X9ECParameters x9 = NISTNamedCurves.getByName("P-256"); ECDomainParameters p = new ECDomainParameters( x9.getCurve(), x9.getG(), x9.getN(), x9.getH(), x9.getSeed()); AsymmetricCipherKeyPair U1 = new AsymmetricCipherKeyPair( new ECPublicKeyParameters( p.getCurve().decodePoint(Hex.decode("047581b35964a983414ebdd56f4ebb1ddcad10881b200666a51ae41306e1ecf1db368468a5e8a65ca10ccea526472c8982db68316c468800e171c11f4ee694fce4")), p), new ECPrivateKeyParameters( new BigInteger("2eb7ef76d4936123b6f13035045aedf45c1c7731f35d529d25941926b5bb38bb", 16), p)); AsymmetricCipherKeyPair U2 = new AsymmetricCipherKeyPair( new ECPublicKeyParameters( p.getCurve().decodePoint(Hex.decode("045b1e4cdeb0728333c0a51631b1a75269e4878d10732f4cb94d600483db4bd9ee625c374592c3db7e9f8b4f2c91a0098a158bc37b922e4243bd9cbdefe67d6ab0")), p), new ECPrivateKeyParameters( new BigInteger("78acde388a022261767e6b3dd6dd016c53b70a084260ec87d395aec761c082de", 16), p)); AsymmetricCipherKeyPair V1 = new AsymmetricCipherKeyPair( new ECPublicKeyParameters( p.getCurve().decodePoint(Hex.decode("04e4916d616803ff1bd9569f35b7d06f792f19c1fb4e6fa916d686c027a17d8dffd570193d8e101624ac2ea0bcb762d5613f05452670f09af66ef70861fb528868")), p), new ECPrivateKeyParameters( new BigInteger("9c85898640a1b1de8ce7f557492dc1460530b9e17afaaf742eb953bb644e9c5a", 16), p)); AsymmetricCipherKeyPair V2 = new AsymmetricCipherKeyPair( new ECPublicKeyParameters( p.getCurve().decodePoint(Hex.decode("04d1cd23c29d0fc865c316d44a1fd5adb6605ee47c9ddfec3a9b0a5e532d52704e74ff5d149aeb50856fefb38d5907b6dbb580fe6dc166bcfcbee4eb376d77e95c")), p), new ECPrivateKeyParameters( new BigInteger("d6e11d5d3b85b201b8f4c12dadfad3000e267961a806a0658a2b859d44389599", 16), p)); byte[] x = calculateUnifiedAgreement(U1, U2, V1, V2); if (x == null || !areEqual(Hex.decode("02886e53998b06d92f04e4579cbfa5f35c96334d3890298264e7f956da70966af07bf1b3abbaa8d76fbaf435508bdabbbbbdae1a191d91480ed88374c3552233"), x)) { fail("EC combined Test Vector #2 agreement failed"); } } private byte[] calculateUnifiedAgreement( AsymmetricCipherKeyPair U1, AsymmetricCipherKeyPair U2, AsymmetricCipherKeyPair V1, AsymmetricCipherKeyPair V2) { ECDHCUnifiedAgreement u = new ECDHCUnifiedAgreement(); u.init(new ECDHUPrivateParameters( (ECPrivateKeyParameters)U1.getPrivate(), (ECPrivateKeyParameters)U2.getPrivate(), (ECPublicKeyParameters)U2.getPublic())); byte[] ux = u.calculateAgreement(new ECDHUPublicParameters( (ECPublicKeyParameters)V1.getPublic(), (ECPublicKeyParameters)V2.getPublic())); ECDHCUnifiedAgreement v = new ECDHCUnifiedAgreement(); v.init(new ECDHUPrivateParameters( (ECPrivateKeyParameters)V1.getPrivate(), (ECPrivateKeyParameters)V2.getPrivate(), (ECPublicKeyParameters)V2.getPublic())); byte[] vx = v.calculateAgreement(new ECDHUPublicParameters( (ECPublicKeyParameters)U1.getPublic(), (ECPublicKeyParameters)U2.getPublic())); if (areEqual(ux, vx)) { return ux; } return null; } public String getName() { return "EC"; } public void performTest() { decodeTest(); testECDSA192bitPrime(); testECDSA239bitPrime(); testECDSA191bitBinary(); testECDSA239bitBinary(); testECDSAKeyGenTest(); testECDHBasicAgreement(); testECDHBasicAgreementCofactor(); testECDSAP224sha224(); testECDSAP224OneByteOver(); testECDSAP256sha256(); testECDSAP521sha512(); testECDSASecP224k1sha256(); testECDSA239bitBinaryAndLargeDigest(); testECDSAP256sha3(224, new BigInteger("84d7d8e68e405064109cd9fc3e3026d74d278aada14ce6b7a9dd0380c154dc94", 16)); testECDSAP256sha3(256, new BigInteger("99a43bdab4af989aaf2899079375642f2bae2dce05bcd8b72ec8c4a8d9a143f", 16)); testECDSAP256sha3(384, new BigInteger("aa27726509c37aaf601de6f7e01e11c19add99530c9848381c23365dc505b11a", 16)); testECDSAP256sha3(512, new BigInteger("f8306b57a1f5068bf12e53aabaae39e2658db39bc56747eaefb479995130ad16", 16)); testECMQVTestVector1(); testECMQVTestVector2(); testECMQVRandom(); testECUnifiedTestVector1(); testECUnifiedTestVector2(); testECDHStagedAgreement(); } public static void main( String[] args) { runTest(new ECTest()); } }




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