/*
* Copyright 2008 Google Inc.
*
* Licensed under the Apache License, Version 2.0 (the "License"); you may not
* use this file except in compliance with the License. You may obtain a copy of
* the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS, WITHOUT
* WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the
* License for the specific language governing permissions and limitations under
* the License.
*/
package org.keyczar.jce;
import java.math.BigInteger;
import java.security.AccessController;
import java.security.KeyFactory;
import java.security.KeyPair;
import java.security.KeyPairGenerator;
import java.security.PrivilegedAction;
import java.security.Provider;
import java.security.Security;
import java.security.Signature;
import java.security.interfaces.ECPrivateKey;
import java.security.interfaces.ECPublicKey;
import java.security.spec.ECFieldFp;
import java.security.spec.ECParameterSpec;
import java.security.spec.ECPoint;
import java.security.spec.ECPrivateKeySpec;
import java.security.spec.ECPublicKeySpec;
import java.security.spec.EllipticCurve;
import java.security.spec.PKCS8EncodedKeySpec;
import java.security.spec.X509EncodedKeySpec;
import java.util.HashMap;
import java.util.Map;
/**
* This class implements the basic EC operations such as point addition and
* doubling and point multiplication. Only NSA Suite B / NIST curves are
* supported.
*
* Todo:
* - Add (more) comments - Performance optimizations - Cleanup ASN.1 code,
* possibly replace with own impl - ...
*
* References:
*
* [1] Software Implementation of the NIST Elliptic Curves Over Prime Fields, M.
* Brown et al. [2] Efficient elliptic curve exponentiation using mixed
* coordinates, H. Cohen et al. [3] SEC 1: Elliptic Curve Cryptography. [4]
* Guide to Elliptic Curve Cryptography, D. Hankerson et al., Springer.
*
* @author martclau@gmail.com
*
*/
public final class EcCore extends Provider {
private static final long serialVersionUID = -1376116429660095993L;
private static final String INFO = "Google Keyczar (EC key/parameter generation; EC signing)";
public static final String NAME = "GooKey";
@SuppressWarnings("unchecked")
public EcCore() {
super(NAME, 0.1, INFO);
AccessController.doPrivileged(new PrivilegedAction<Object>() {
@Override
public Object run() {
put("Signature.SHA1withECDSA", "org.keyczar.jce.EcSignatureImpl$SHA1");
put("Alg.Alias.Signature.ECDSA", "SHA1withDSA");
put("Signature.SHA256withECDSA",
"org.keyczar.jce.EcSignatureImpl$SHA256");
put("Signature.SHA384withECDSA",
"org.keyczar.jce.EcSignatureImpl$SHA384");
put("Signature.SHA512withECDSA",
"org.keyczar.jce.EcSignatureImpl$SHA512");
put("KeyPairGenerator.EC", "org.keyczar.jce.EcKeyPairGeneratorImpl");
put("KeyFactory.EC", "org.keyczar.jce.EcKeyFactoryImpl");
put("Signature.SHA1withECDSA KeySize", "521");
put("Signature.SHA1withECDSA ImplementedIn", "Software");
put("Signature.SHA256withECDSA KeySize", "521");
put("Signature.SHA256withECDSA ImplementedIn", "Software");
put("Signature.SHA384withECDSA KeySize", "521");
put("Signature.SHA384withECDSA ImplementedIn", "Software");
put("Signature.SHA512withECDSA KeySize", "521");
put("Signature.SHA512withECDSA ImplementedIn", "Software");
put("KeyPairGenerator.EC ImplementedIn", "Software");
put("KeyFactory.EC ImplementedIn", "Software");
return null;
}
});
}
private static final ECParameterSpec P192 = new ECParameterSpec(
new EllipticCurve(
new ECFieldFp(new BigInteger(
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF", 16)),
new BigInteger("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC", 16),
new BigInteger("64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1", 16)),
new ECPoint(
new BigInteger("188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012", 16),
new BigInteger("07192B95FFC8DA78631011ED6B24CDD573F977A11E794811", 16)),
new BigInteger("FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831", 16), 1);
private static final ECParameterSpec P224 = new ECParameterSpec(
new EllipticCurve(new ECFieldFp(new BigInteger(
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001", 16)),
new BigInteger(
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE", 16),
new BigInteger(
"B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4", 16)),
new ECPoint(new BigInteger(
"B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21", 16),
new BigInteger(
"BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34", 16)),
new BigInteger(
"FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D", 16), 1);
private static final ECParameterSpec P256 = new ECParameterSpec(
new EllipticCurve(new ECFieldFp(new BigInteger(
"FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF",
16)), new BigInteger(
"FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC",
16), new BigInteger(
"5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B",
16)), new ECPoint(new BigInteger(
"6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296",
16), new BigInteger(
"4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5",
16)), new BigInteger(
"FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551",
16), 1);
private static final ECParameterSpec P384 = new ECParameterSpec(
new EllipticCurve(
new ECFieldFp(
new BigInteger(
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF",
16)),
new BigInteger(
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC",
16),
new BigInteger(
"B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF",
16)),
new ECPoint(
new BigInteger(
"AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B9859F741E082542A385502F25DBF55296C3A545E3872760AB7",
16),
new BigInteger(
"3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A147CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F",
16)),
new BigInteger(
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973",
16), 1);
private static final ECParameterSpec P521 = new ECParameterSpec(
new EllipticCurve(
new ECFieldFp(
new BigInteger(
"01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
16)),
new BigInteger(
"01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC",
16),
new BigInteger(
"0051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573DF883D2C34F1EF451FD46B503F00",
16)),
new ECPoint(
new BigInteger(
"00C6858E06B70404E9CD9E3ECB662395B4429C648139053FB521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B3C1856A429BF97E7E31C2E5BD66",
16),
new BigInteger(
"011839296A789A3BC0045C8A5FB42C7D1BD998F54449579B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C7086A272C24088BE94769FD16650",
16)),
new BigInteger(
"01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E91386409",
16), 1);
public static final String EC_PARAMS_P192_OID = "1.2.840.10045.3.1.1";
public static final String EC_PARAMS_P224_OID = "1.3.132.0.33";
public static final String EC_PARAMS_P256_OID = "1.2.840.10045.3.1.7";
public static final String EC_PARAMS_P384_OID = "1.3.132.0.34";
public static final String EC_PARAMS_P521_OID = "1.3.132.0.35";
private static Map<String, ECParameterSpec> oidMap = new HashMap<String, ECParameterSpec>();
private static Map<ECParameterSpec, String> paramsMap = new HashMap<ECParameterSpec, String>();
private static Map<ECParameterSpec, String> friendlyNameMap = new HashMap<ECParameterSpec, String>();
static {
oidMap.put(EC_PARAMS_P192_OID, P192);
oidMap.put(EC_PARAMS_P224_OID, P224);
oidMap.put(EC_PARAMS_P256_OID, P256);
oidMap.put(EC_PARAMS_P384_OID, P384);
oidMap.put(EC_PARAMS_P521_OID, P521);
paramsMap.put(P192, EC_PARAMS_P192_OID);
paramsMap.put(P224, EC_PARAMS_P224_OID);
paramsMap.put(P256, EC_PARAMS_P256_OID);
paramsMap.put(P384, EC_PARAMS_P384_OID);
paramsMap.put(P521, EC_PARAMS_P521_OID);
friendlyNameMap.put(P192, "P-192");
friendlyNameMap.put(P224, "P-224");
friendlyNameMap.put(P256, "P-256");
friendlyNameMap.put(P384, "P-384");
friendlyNameMap.put(P521, "P-521");
}
public static ECParameterSpec getParams(String oid) {
ECParameterSpec params;
if ((params = oidMap.get(oid)) != null) return params;
throw new IllegalArgumentException("Unsupported EC parameters: " + oid);
}
public static String getOID(ECParameterSpec params) {
String oid;
if ((oid = paramsMap.get(params)) != null) return oid;
throw new IllegalArgumentException("Unsupport EC parameters");
}
public static String getFriendlyName(ECParameterSpec params) {
String name;
if ((name = friendlyNameMap.get(params)) != null) return name;
throw new IllegalArgumentException("Unsupport EC parameters");
}
private static final BigInteger ZERO = BigInteger.ZERO;
private static final BigInteger ONE = BigInteger.ONE;
private static final BigInteger TWO = BigInteger.valueOf(2);
private static final BigInteger THREE = BigInteger.valueOf(3);
private static final BigInteger FOUR = BigInteger.valueOf(4);
private static final BigInteger EIGHT = BigInteger.valueOf(8);
private static BigInteger[] doublePointA(BigInteger[] P,
ECParameterSpec params) {
final BigInteger p = ((ECFieldFp) params.getCurve().getField()).getP();
final BigInteger a = params.getCurve().getA();
if (P[0] == null || P[1] == null) return P;
BigInteger d = (P[0].pow(2).multiply(THREE).add(a)).multiply(P[1]
.shiftLeft(1).modInverse(p));
BigInteger[] R = new BigInteger[2];
R[0] = d.pow(2).subtract(P[0].shiftLeft(1)).mod(p);
R[1] = d.multiply(P[0].subtract(R[0])).subtract(P[1]).mod(p);
return R;
}
private static BigInteger[] addPointsA(BigInteger[] P1, BigInteger[] P2,
ECParameterSpec params) {
final BigInteger p = ((ECFieldFp) params.getCurve().getField()).getP();
if (P2[0] == null || P2[1] == null) return P1;
if (P1[0] == null || P1[1] == null) return P2;
BigInteger d = (P2[1].subtract(P1[1])).multiply((P2[0].subtract(P1[0]))
.modInverse(p));
BigInteger[] R = new BigInteger[2];
R[0] = d.pow(2).subtract(P1[0]).subtract(P2[0]).mod(p);
R[1] = d.multiply(P1[0].subtract(R[0])).subtract(P1[1]).mod(p);
return R;
}
private static BigInteger[] multiplyPointA(BigInteger[] P, BigInteger k,
ECParameterSpec params) {
BigInteger[] Q = new BigInteger[] {null, null};
for (int i = k.bitLength() - 1; i >= 0; i--) {
Q = doublePointA(Q, params);
if (k.testBit(i)) Q = addPointsA(Q, P, params);
}
return Q;
}
private static BigInteger[] doublePointJ(BigInteger[] P,
ECParameterSpec params) {
final BigInteger p = ((ECFieldFp) params.getCurve().getField()).getP();
BigInteger A, B, C, D;
if (P[2].signum() == 0) // point at inf
return P;
A = FOUR.multiply(P[0]).multiply(P[1].pow(2)).mod(p);
B = EIGHT.multiply(P[1].pow(4)).mod(p);
C = THREE.multiply(P[0].subtract(P[2].pow(2))).multiply(
P[0].add(P[2].pow(2))).mod(p);
D = C.pow(2).subtract(A.add(A)).mod(p);
return new BigInteger[] {
D, C.multiply(A.subtract(D)).subtract(B).mod(p),
TWO.multiply(P[1]).multiply(P[2]).mod(p)};
}
private static BigInteger[] addPointsJA(BigInteger[] P1, BigInteger[] P2,
ECParameterSpec params) {
final BigInteger p = ((ECFieldFp) params.getCurve().getField()).getP();
BigInteger A, B, C, D;
BigInteger X3;
if (P1[2].signum() == 0) // point at inf
return new BigInteger[] {P2[0], P2[1], ONE};
A = P2[0].multiply(P1[2].pow(2)).mod(p);
B = P2[1].multiply(P1[2].pow(3)).mod(p);
C = A.subtract(P1[0]).mod(p);
D = B.subtract(P1[1]).mod(p);
X3 = D.pow(2)
.subtract(C.pow(3).add(TWO.multiply(P1[0]).multiply(C.pow(2)))).mod(p);
return new BigInteger[] {
X3,
D.multiply(P1[0].multiply(C.pow(2)).subtract(X3)).subtract(
P1[1].multiply(C.pow(3))).mod(p), P1[2].multiply(C).mod(p)};
}
// Binary NAF method for point multiplication
static BigInteger[] multiplyPoint(BigInteger[] P, BigInteger k,
ECParameterSpec params) {
BigInteger h = THREE.multiply(k);
BigInteger[] Pneg = new BigInteger[] {P[0], P[1].negate()};
BigInteger[] R = new BigInteger[] {P[0], P[1], ONE};
int bitLen = h.bitLength();
for (int i = bitLen - 2; i > 0; --i) {
R = doublePointJ(R, params);
if (h.testBit(i)) R = addPointsJA(R, P, params);
if (k.testBit(i)) R = addPointsJA(R, Pneg, params);
}
// // <DEBUG>
// BigInteger[] SS = new BigInteger[] { R[0], R[1], R[2] };
// toAffine(SS, params);
// BigInteger[] RR = multiplyPointA(P, k, params);
// if (!SS[0].equals(RR[0]) || !SS[1].equals(RR[1]))
// throw new RuntimeException("Internal mult error");
// // </DEBUG>
return R;
}
// Simultaneous multiple point multiplication, also known as Shamir's trick
static BigInteger[] multiplyPoints(BigInteger[] P, BigInteger k,
BigInteger[] Q, BigInteger l, ECParameterSpec params) {
BigInteger[] PQ = addPointsA(P, Q, params);
BigInteger[] R = new BigInteger[] {null, null, ZERO};
int max = Math.max(k.bitLength(), l.bitLength());
for (int i = max - 1; i >= 0; --i) {
R = doublePointJ(R, params);
if (k.testBit(i)) {
if (l.testBit(i))
R = addPointsJA(R, PQ, params);
else
R = addPointsJA(R, P, params);
} else if (l.testBit(i)) R = addPointsJA(R, Q, params);
}
// // <DEBUG>
// BigInteger[] SS = new BigInteger[] { R[0], R[1], R[2] };
// toAffine(SS, params);
// BigInteger[] AA = multiplyPointA(P, k, params);
// BigInteger[] BB = multiplyPointA(Q, l, params);
// BigInteger[] AB = addPointsA(AA, BB, params);
// if (!SS[0].equals(AB[0]) || !SS[1].equals(AB[1]))
// throw new RuntimeException("Internal mult error");
// // </DEBUG>
return R;
}
// SEC 1, 2.3.5
static byte[] fieldElemToBytes(BigInteger a, ECParameterSpec params) {
int len = (((ECFieldFp) params.getCurve().getField()).getP().bitLength() + 7) / 8;
byte[] bytes = a.toByteArray();
if (len < bytes.length) {
byte[] tmp = new byte[len];
System.arraycopy(bytes, bytes.length - tmp.length, tmp, 0, tmp.length);
return tmp;
} else if (len > bytes.length) {
byte[] tmp = new byte[len];
System.arraycopy(bytes, 0, tmp, tmp.length - bytes.length, bytes.length);
return tmp;
}
return bytes;
}
static int fieldElemToBytes(BigInteger a, ECParameterSpec params,
byte[] data, int off) {
int len = (((ECFieldFp) params.getCurve().getField()).getP().bitLength() + 7) / 8;
byte[] bytes = a.toByteArray();
if (len < bytes.length) {
System.arraycopy(bytes, bytes.length - len, data, off, len);
return len;
} else if (len > bytes.length) {
System.arraycopy(bytes, 0, data, len - bytes.length + off, bytes.length);
return len;
}
System.arraycopy(bytes, 0, data, off, bytes.length);
return bytes.length;
}
// SEC 1, 2.3.3
static byte[] ecPointToBytes(ECPoint a, ECParameterSpec params) {
byte[] fe1 = fieldElemToBytes(a.getAffineX(), params);
byte[] fe2 = fieldElemToBytes(a.getAffineY(), params);
byte[] bytes = new byte[1 + fe1.length + fe2.length];
bytes[0] = 0x04;
System.arraycopy(fe1, 0, bytes, 1, fe1.length);
System.arraycopy(fe2, 0, bytes, 1 + fe1.length, fe2.length);
return bytes;
}
// SEC 1, 2.3.4
static ECPoint bytesToECPoint(byte[] bytes, ECParameterSpec params) {
switch (bytes[0]) {
case 0x00: // point at inf
throw new IllegalArgumentException(
"Point at infinity is not a valid argument");
case 0x02: // point compression
case 0x03:
throw new UnsupportedOperationException(
"Point compression is not supported");
case 0x04:
final BigInteger p = ((ECFieldFp) params.getCurve().getField()).getP();
byte[] fe = new byte[(p.bitLength() + 7) / 8];
System.arraycopy(bytes, 1, fe, 0, fe.length);
BigInteger x = new BigInteger(1, fe);
System.arraycopy(bytes, 1 + fe.length, fe, 0, fe.length);
return new ECPoint(x, new BigInteger(1, fe));
default:
throw new IllegalArgumentException("Invalid point encoding");
}
}
// Convert Jacobian point to affine
static void toAffine(BigInteger[] P, ECParameterSpec params) {
final BigInteger p = ((ECFieldFp) params.getCurve().getField()).getP();
P[0] = P[0].multiply(P[2].pow(2).modInverse(p)).mod(p);
P[1] = P[1].multiply(P[2].pow(3).modInverse(p)).mod(p);
}
static void toAffineX(BigInteger[] P, ECParameterSpec params) {
final BigInteger p = ((ECFieldFp) params.getCurve().getField()).getP();
P[0] = P[0].multiply(P[2].pow(2).modInverse(p)).mod(p);
}
static BigInteger[] internalPoint(ECPoint P) {
return new BigInteger[] {P.getAffineX(), P.getAffineY()};
}
// private static void printPerf(String msg, long start, long stop) {
// String unit = "ms";
// long diff = stop - start;
// if (diff > 1000) {
// diff /= 1000;
// unit = "s";
// }
// System.out.printf("%s: %d %s\n", msg, diff, unit);
// }
public static void main(String[] args) throws Exception {
Security.insertProviderAt(new EcCore(), 0);
// ----
// Test primitives
// ----
// GooKey EC private key, 256 bit
// Private value:
// a9231e0d113abdacd3bb5edb24124fbef6f562c5f90b835670f5e48f775019f2
// Parameters: P-256 (1.2.840.10045.3.1.7)
// GooKey EC public key, 256 bit
// Public value (x coordinate):
// 86645e0320c0f9dc1a9b8456396cc105754df67a9829c21e13ab6ecf944cf68c
// Public value (y coordinate):
// ea1721a578043d48f12738359b5eb5f0dac2242ec6128ee0ab6ff40c8fe0cae6
// Parameters: P-256 (1.2.840.10045.3.1.7)
// GooKey EC private key, 256 bit
// Private value:
// b84d5cfab214fc3928864abb85f668a85b1006ca0147c78f22deb1dcc7e4a022
// Parameters: P-256 (1.2.840.10045.3.1.7)
// GooKey EC public key, 256 bit
// Public value (x coordinate):
// 61f6f7264f0a19f0debcca3efd079667a0112cc0b8be07a815b4c375e96ad3d1
// Public value (y coordinate):
// 3308c0016d776ed5aa9f021e43348b2e684b3b7a0f25dc9e4c8670b5d87cb705
// Parameters: P-256 (1.2.840.10045.3.1.7)
// P = kG
BigInteger k = new BigInteger(
"a9231e0d113abdacd3bb5edb24124fbef6f562c5f90b835670f5e48f775019f2", 16);
BigInteger[] P = new BigInteger[] {
new BigInteger(
"86645e0320c0f9dc1a9b8456396cc105754df67a9829c21e13ab6ecf944cf68c",
16),
new BigInteger(
"ea1721a578043d48f12738359b5eb5f0dac2242ec6128ee0ab6ff40c8fe0cae6",
16), ONE};
// Q = lG
BigInteger l = new BigInteger(
"b84d5cfab214fc3928864abb85f668a85b1006ca0147c78f22deb1dcc7e4a022", 16);
BigInteger[] Q = new BigInteger[] {
new BigInteger(
"61f6f7264f0a19f0debcca3efd079667a0112cc0b8be07a815b4c375e96ad3d1",
16),
new BigInteger(
"3308c0016d776ed5aa9f021e43348b2e684b3b7a0f25dc9e4c8670b5d87cb705",
16), ONE};
// Known answer for P+Q
BigInteger[] kat1 = new BigInteger[] {
new BigInteger(
"bc7adb05bca2460bbfeb4e0f88b61c384ea88ed3fd56017938ac2582513d4220",
16),
new BigInteger(
"a640a43df2e9df39eec11445b7e3f7835b743ef1ac4a83cecb570a060b3f1c6c",
16)};
BigInteger[] R = addPointsA(P, Q, P256);
if (!R[0].equals(kat1[0]) || !R[1].equals(kat1[1]))
throw new RuntimeException("kat1 failed");
R = addPointsJA(P, Q, P256);
toAffine(R, P256);
if (!R[0].equals(kat1[0]) || !R[1].equals(kat1[1]))
throw new RuntimeException("kat1 failed");
// Known answer for Q+Q
BigInteger[] kat2 = new BigInteger[] {
new BigInteger(
"c79d7f9100c14a70f0bb9bdce59654abf99e10d1ac5afc1a0f1b6bc650d6429b",
16),
new BigInteger(
"6856814e47adce42bc0d7c3bef308c6c737c418ed093effb31e21f53c7735c97",
16)};
R = doublePointA(P, P256);
if (!R[0].equals(kat2[0]) || !R[1].equals(kat2[1]))
throw new RuntimeException("kat2 failed");
R = doublePointJ(P, P256);
toAffine(R, P256);
if (!R[0].equals(kat2[0]) || !R[1].equals(kat2[1]))
throw new RuntimeException("kat2 failed");
// Known answer for kP
BigInteger[] kat3 = new BigInteger[] {
new BigInteger(
"97a82a834b9e6b50660ae30d43dac9b200276e8bcd2ed6a6593048de09276d1a",
16),
new BigInteger(
"30a9590a01066d8ef54a910afcc8648dbc7400c01750af423ce95547f2154d56",
16)};
R = multiplyPointA(P, k, P256);
if (!R[0].equals(kat3[0]) || !R[1].equals(kat3[1]))
throw new RuntimeException("kat3 failed");
R = multiplyPoint(P, k, P256);
toAffine(R, P256);
if (!R[0].equals(kat3[0]) || !R[1].equals(kat3[1]))
throw new RuntimeException("kat3 failed");
// Known answer for kP+lQ
BigInteger[] kat4 = new BigInteger[] {
new BigInteger(
"6fd51be5cf3d6a6bcb62594bbe41ccf549b37d8fefff6e293a5bea0836efcfc6",
16),
new BigInteger(
"9bc21a930137aa3814908974c431e4545a05dce61321253c337f3883129c42ca",
16)};
BigInteger[] RR = multiplyPointA(Q, l, P256);
R = addPointsA(R, RR, P256);
if (!R[0].equals(kat4[0]) || !R[1].equals(kat4[1]))
throw new RuntimeException("kat4 failed");
R = multiplyPoints(P, k, Q, l, P256);
toAffine(R, P256);
if (!R[0].equals(kat4[0]) || !R[1].equals(kat4[1]))
throw new RuntimeException("kat4 failed");
// ----
// Test ECDSA in various combinations
// ----
Provider gooProv = Security.getProvider("GooKey");
Provider nssProv = Security.getProvider("SunPKCS11-NSS");
// Number of iterations: trust me, this is a (stress) good test
// and does provoke bugs in a fuzzing way.
int iter = 50;
// Iterate over all key lengths and signature schemes.
int[] keyLengths = {192, 224, 256, 384, 521};
String[] ecdsas = {
"SHA1withECDSA", "SHA256withECDSA", "SHA384withECDSA",
"SHA512withECDSA"};
for (int s = 0; s < ecdsas.length; s++) {
System.out.println("Signature scheme " + ecdsas[s]);
for (int i = 0; i < keyLengths.length; i++) {
System.out.print("Testing P-" + keyLengths[i] + ": ");
for (int n = 0; n < iter; n++) {
System.out.print(".");
KeyPairGenerator kpGen = KeyPairGenerator.getInstance("EC", gooProv);
kpGen.initialize(keyLengths[i]);
KeyPair ecKeyPair = kpGen.generateKeyPair();
ECPrivateKey ecPrivKey = (ECPrivateKey) ecKeyPair.getPrivate();
byte[] tmp = ecPrivKey.getEncoded();
KeyFactory keyFab = KeyFactory.getInstance("EC", gooProv);
keyFab.generatePrivate(new PKCS8EncodedKeySpec(tmp));
ECPrivateKeySpec ecPrivSpec = new ECPrivateKeySpec(ecPrivKey.getS(),
ecPrivKey.getParams());
keyFab.generatePrivate(ecPrivSpec);
ECPublicKey ecPubKey = (ECPublicKey) ecKeyPair.getPublic();
tmp = ecPubKey.getEncoded(); // dont modify tmp now - is used below
keyFab.generatePublic(new X509EncodedKeySpec(tmp));
ECPublicKeySpec ecPubSpec = new ECPublicKeySpec(ecPubKey.getW(),
ecPubKey.getParams());
keyFab.generatePublic(ecPubSpec);
Signature ecdsa = Signature.getInstance(ecdsas[s], gooProv);
ecdsa.initSign(ecPrivKey);
ecdsa.update(tmp);
byte[] sig = ecdsa.sign();
ecdsa.initVerify(ecPubKey);
ecdsa.update(tmp);
if (!ecdsa.verify(sig))
throw new RuntimeException("Signature not verified: "
+ keyLengths[i]);
// Cross verify using NSS if present
if (nssProv != null) {
keyFab = KeyFactory.getInstance("EC", nssProv);
// For some reason NSS doesnt seem to work for P-192 and P-224?!
if (keyLengths[i] == 192 || keyLengths[i] == 224) continue;
ECPrivateKey nssPrivKey = (ECPrivateKey) keyFab
.generatePrivate(new PKCS8EncodedKeySpec(ecPrivKey.getEncoded()));
ECPublicKey nssPubKey = (ECPublicKey) keyFab
.generatePublic(new X509EncodedKeySpec(ecPubKey.getEncoded()));
ecdsa = Signature.getInstance(ecdsas[s], nssProv);
ecdsa.initVerify(nssPubKey);
ecdsa.update(tmp);
if (!ecdsa.verify(sig))
throw new RuntimeException("Signature not verified 2: "
+ keyLengths[i]);
ecdsa.initSign(nssPrivKey);
ecdsa.update(tmp);
sig = ecdsa.sign();
ecdsa = Signature.getInstance(ecdsas[s], gooProv);
ecdsa.initVerify(ecPubKey);
ecdsa.update(tmp);
if (!ecdsa.verify(sig))
throw new RuntimeException("Signature not verified 3: "
+ keyLengths[i]);
}
}
System.out.println(" done");
}
}
// Test Keyczar integration
// Signer ecdsaSigner = new Signer("c:\\temp\\eckeyset");
// String tbs = "Sign this";
// String sig = ecdsaSigner.sign(tbs);
// if (ecdsaSigner.verify(sig, tbs))
// System.out.println("Keyczar EC OK");
// else
// System.out.println("Keyczar EC not OK");
}
}