Java 类java.security.spec.ECField 实例源码

public static ECParameterSpec encodeECParameterSpec(EllipticCurveParameters params) {

        // Field
        final BigInteger pInt = new BigInteger(1, params.getP());
        final ECField field = new ECFieldFp(pInt);

        final BigInteger aInt = new BigInteger(1, params.getA());
        final BigInteger bInt = new BigInteger(1, params.getB());
        final EllipticCurve curve = new EllipticCurve(field, aInt, bInt);

        // Fixed Point G
        final BigInteger xInt = new BigInteger(1, params.getX());
        final BigInteger yInt = new BigInteger(1, params.getY());
        final ECPoint g = new ECPoint(xInt, yInt);

        // Order N
        final BigInteger nInt = new BigInteger(1, params.getN());

        return new ECParameterSpec(curve, g, nInt, params.getH());
    }

public static ECParameterSpec encodeECParameterSpec(EllipticCurveParameters params) {

        // Field
        final BigInteger pInt = new BigInteger(1, params.getP());
        final ECField field = new ECFieldFp(pInt);

        final BigInteger aInt = new BigInteger(1, params.getA());
        final BigInteger bInt = new BigInteger(1, params.getB());
        final EllipticCurve curve = new EllipticCurve(field, aInt, bInt);

        // Fixed Point G
        final BigInteger xInt = new BigInteger(1, params.getX());
        final BigInteger yInt = new BigInteger(1, params.getY());
        final ECPoint g = new ECPoint(xInt, yInt);

        // Order N
        final BigInteger nInt = new BigInteger(1, params.getN());

        return new ECParameterSpec(curve, g, nInt, params.getH());
    }

private static ECCurve convertCurve(
    EllipticCurve ec)
{
    ECField field = ec.getField();
    BigInteger a = ec.getA();
    BigInteger b = ec.getB();

    if (field instanceof ECFieldFp)
    {
        return new ECCurve.Fp(((ECFieldFp)field).getP(), a, b);
    }
    else
    {
        throw new IllegalStateException("not implemented yet!!!");
    }
}

public static ECCurve convertCurve(
    EllipticCurve ec)
{
    ECField field = ec.getField();
    BigInteger a = ec.getA();
    BigInteger b = ec.getB();

    if (field instanceof ECFieldFp)
    {
        return new ECCurve.Fp(((ECFieldFp)field).getP(), a, b);
    }
    else
    {
        ECFieldF2m fieldF2m = (ECFieldF2m)field;
        int m = fieldF2m.getM();
        int ks[] = ECUtil.convertMidTerms(fieldF2m.getMidTermsOfReductionPolynomial());
        return new ECCurve.F2m(m, ks[0], ks[1], ks[2], a, b); 
    }
}

ECParameterSpec getECParameterSpec() {
    final String curveName = NativeCrypto.EC_GROUP_get_curve_name(groupCtx);

    final byte[][] curveParams = NativeCrypto.EC_GROUP_get_curve(groupCtx);
    final BigInteger p = new BigInteger(curveParams[0]);
    final BigInteger a = new BigInteger(curveParams[1]);
    final BigInteger b = new BigInteger(curveParams[2]);

    final ECField field = new ECFieldFp(p);

    final EllipticCurve curve = new EllipticCurve(field, a, b);

    final OpenSSLECPointContext generatorCtx = new OpenSSLECPointContext(this,
            new NativeRef.EC_POINT(NativeCrypto.EC_GROUP_get_generator(groupCtx)));
    final ECPoint generator = generatorCtx.getECPoint();

    final BigInteger order = new BigInteger(NativeCrypto.EC_GROUP_get_order(groupCtx));
    final BigInteger cofactor = new BigInteger(NativeCrypto.EC_GROUP_get_cofactor(groupCtx));

    ECParameterSpec spec = new ECParameterSpec(curve, generator, order, cofactor.intValue());
    Platform.setCurveName(spec, curveName);
    return spec;
}

/**
 * Decompress a point
 *
 * @param x The x-coordinate of the point
 * @param bit0 true if the least significant bit of y is set.
 * @param ecParams contains the curve of the point. This must be over a prime order field.
 */
public static ECPoint getPoint(BigInteger x, boolean bit0, ECParameterSpec ecParams)
    throws GeneralSecurityException {
  EllipticCurve ec = ecParams.getCurve();
  ECField field = ec.getField();
  if (!(field instanceof ECFieldFp)) {
    throw new GeneralSecurityException("Only curves over prime order fields are supported");
  }
  BigInteger p = ((java.security.spec.ECFieldFp) field).getP();
  if (x.compareTo(BigInteger.ZERO) == -1 || x.compareTo(p) != -1) {
    throw new GeneralSecurityException("x is out of range");
  }
  // Compute rhs == x^3 + a x + b (mod p)
  BigInteger rhs = x.multiply(x).add(ec.getA()).multiply(x).add(ec.getB()).mod(p);
  BigInteger y = modSqrt(rhs, p);
  if (bit0 != y.testBit(0)) {
    y = p.subtract(y).mod(p);
  }
  return new ECPoint(x, y);
}

private static ECCurve convertCurve(
    EllipticCurve ec, BigInteger order, int coFactor)
{
    ECField field = ec.getField();
    BigInteger a = ec.getA();
    BigInteger b = ec.getB();

    if (field instanceof ECFieldFp)
    {
        return new ECCurve.Fp(((ECFieldFp)field).getP(), a, b, order, BigInteger.valueOf(coFactor));
    }
    else
    {
        throw new IllegalStateException("not implemented yet!!!");
    }
}

public static ECCurve convertCurve(
    EllipticCurve ec)
{
    ECField field = ec.getField();
    BigInteger a = ec.getA();
    BigInteger b = ec.getB();

    if (field instanceof ECFieldFp)
    {
        ECCurve.Fp curve = new ECCurve.Fp(((ECFieldFp)field).getP(), a, b);

        if (customCurves.containsKey(curve))
        {
            return (ECCurve)customCurves.get(curve);
        }

        return curve;
    }
    else
    {
        ECFieldF2m fieldF2m = (ECFieldF2m)field;
        int m = fieldF2m.getM();
        int ks[] = ECUtil.convertMidTerms(fieldF2m.getMidTermsOfReductionPolynomial());
        return new ECCurve.F2m(m, ks[0], ks[1], ks[2], a, b); 
    }
}

/**
 * Test #5 for <code>EllipticCurve(ECField, BigInteger, BigInteger, byte[])</code>
 * constructor<br>
 * Assertion: array <code>seed</code> is copied to prevent subsequent modification<br>
 * Test preconditions: pass <code>seed</code> to the ctor then modify it<br>
 * Expected: getSeed() must return unmodified array
 */
@TestTargetNew(
    level = TestLevel.PARTIAL_COMPLETE,
    notes = "Verifies that byte array of EllipticCurve can't be modified",
    method = "EllipticCurve",
    args = {java.security.spec.ECField.class, java.math.BigInteger.class, java.math.BigInteger.class, byte[].class}
)
public final void testEllipticCurveECFieldBigIntegerBigIntegerbyteArray05() {
    ECFieldF2m f = new ECFieldF2m(5);
    BigInteger a = BigInteger.valueOf(0L);
    BigInteger b = BigInteger.valueOf(19L);
    byte[] seed = new byte[24];
    byte[] seedCopy = seed.clone();
    EllipticCurve c = new EllipticCurve(f, a, b, seedCopy);
    // modify array passed
    seedCopy[0] = (byte) 1;
    // check that above modification did not changed
    // internal state of test object
    assertTrue(Arrays.equals(seed, c.getSeed()));
}

public static ECCurve convertCurve(
    EllipticCurve ec)
{
    ECField field = ec.getField();
    BigInteger a = ec.getA();
    BigInteger b = ec.getB();

    if (field instanceof ECFieldFp)
    {
        ECCurve.Fp curve = new ECCurve.Fp(((ECFieldFp)field).getP(), a, b);

        if (customCurves.containsKey(curve))
        {
            return (ECCurve)customCurves.get(curve);
        }

        return curve;
    }
    else
    {
        ECFieldF2m fieldF2m = (ECFieldF2m)field;
        int m = fieldF2m.getM();
        int ks[] = ECUtil.convertMidTerms(fieldF2m.getMidTermsOfReductionPolynomial());
        return new ECCurve.F2m(m, ks[0], ks[1], ks[2], a, b); 
    }
}

public static ECCurve convertCurve(
    EllipticCurve ec)
{
    ECField field = ec.getField();
    BigInteger a = ec.getA();
    BigInteger b = ec.getB();

    if (field instanceof ECFieldFp)
    {
        return new ECCurve.Fp(((ECFieldFp)field).getP(), a, b);
    }
    else
    {
        ECFieldF2m fieldF2m = (ECFieldF2m)field;
        int m = fieldF2m.getM();
        int ks[] = ECUtil.convertMidTerms(fieldF2m.getMidTermsOfReductionPolynomial());
        return new ECCurve.F2m(m, ks[0], ks[1], ks[2], a, b); 
    }
}

public static ECCurve convertCurve(
    EllipticCurve ec)
{
    ECField field = ec.getField();
    BigInteger a = ec.getA();
    BigInteger b = ec.getB();

    if (field instanceof ECFieldFp)
    {
        ECCurve.Fp curve = new ECCurve.Fp(((ECFieldFp)field).getP(), a, b);

        if (customCurves.containsKey(curve))
        {
            return (ECCurve)customCurves.get(curve);
        }

        return curve;
    }
    else
    {
        ECFieldF2m fieldF2m = (ECFieldF2m)field;
        int m = fieldF2m.getM();
        int ks[] = ECUtil.convertMidTerms(fieldF2m.getMidTermsOfReductionPolynomial());
        return new ECCurve.F2m(m, ks[0], ks[1], ks[2], a, b); 
    }
}

private static ECCurve convertCurve(
    EllipticCurve ec)
{
    ECField field = ec.getField();
    BigInteger a = ec.getA();
    BigInteger b = ec.getB();

    if (field instanceof ECFieldFp)
    {
        return new ECCurve.Fp(((ECFieldFp)field).getP(), a, b);
    }
    else
    {
        throw new IllegalStateException("not implemented yet!!!");
    }
}

public static ECCurve convertCurve(
    EllipticCurve ec)
{
    ECField field = ec.getField();
    BigInteger a = ec.getA();
    BigInteger b = ec.getB();

    if (field instanceof ECFieldFp)
    {
        return new ECCurve.Fp(((ECFieldFp)field).getP(), a, b);
    }
    else
    {
        ECFieldF2m fieldF2m = (ECFieldF2m)field;
        int m = fieldF2m.getM();
        int ks[] = ECUtil.convertMidTerms(fieldF2m.getMidTermsOfReductionPolynomial());
        return new ECCurve.F2m(m, ks[0], ks[1], ks[2], a, b); 
    }
}

private static ECCurve convertCurve(
    EllipticCurve ec)
{
    ECField field = ec.getField();
    BigInteger a = ec.getA();
    BigInteger b = ec.getB();

    if (field instanceof ECFieldFp)
    {
        return new ECCurve.Fp(((ECFieldFp)field).getP(), a, b);
    }
    else
    {
        throw new IllegalStateException("not implemented yet!!!");
    }
}

public static ECCurve convertCurve(
    EllipticCurve ec)
{
    ECField field = ec.getField();
    BigInteger a = ec.getA();
    BigInteger b = ec.getB();

    if (field instanceof ECFieldFp)
    {
        return new ECCurve.Fp(((ECFieldFp)field).getP(), a, b);
    }
    else
    {
        ECFieldF2m fieldF2m = (ECFieldF2m)field;
        int m = fieldF2m.getM();
        int ks[] = ECUtil.convertMidTerms(fieldF2m.getMidTermsOfReductionPolynomial());
        return new ECCurve.F2m(m, ks[0], ks[1], ks[2], a, b); 
    }
}

private static Curve initializeCurve(String name, String oid,
        String sfield, String a, String b,
        String x, String y, String n, int h) {
    BigInteger p = bigInt(sfield);
    ECField field = new ECFieldFp(p);
    EllipticCurve curve = new EllipticCurve(field, bigInt(a),
                                            bigInt(b));
    ECPoint g = new ECPoint(bigInt(x), bigInt(y));
    return new Curve(name, oid, curve, g, bigInt(n), h);
}

private static ECParameterSpec initECParams(
        String sfield, String a, String b, String gx, String gy,
        String n, int h) {
    ECField field = new ECFieldFp(bigInt(sfield));
    EllipticCurve curve = new EllipticCurve(field,
                                            bigInt(a), bigInt(b));
    ECPoint g = new ECPoint(bigInt(gx), bigInt(gy));
    return new ECParameterSpec(curve, g, bigInt(n), h);
}

private static ECCurve toBouncyCastleECCurve(final ECParameterSpec params) {
    final EllipticCurve curve = params.getCurve();
    final ECField field = curve.getField();
    if (!(field instanceof ECFieldFp)) {
        throw new IllegalArgumentException(
            "Solo se soporta 'ECFieldFp' y se proporciono  " + field.getClass().getCanonicalName() //$NON-NLS-1$
        );
    }
    final int coFactor = params.getCofactor();
    final BigInteger order = params.getOrder();
    final BigInteger a = curve.getA();
    final BigInteger b = curve.getB();
    final BigInteger p = getPrime(params);
    return new ECCurve.Fp(p, a, b, order, BigInteger.valueOf(coFactor));
}

private static BigInteger getPrime(final ECParameterSpec params) {
    if (params == null) {
        throw new IllegalArgumentException(
            "Los parametros no pueden ser nulos" //$NON-NLS-1$
        );
    }
    final EllipticCurve curve = params.getCurve();
    final ECField field = curve.getField();
    if (!(field instanceof ECFieldFp)) {
        throw new IllegalStateException(
            "Solo se soporta 'ECFieldFp' y se proporciono  " + field.getClass().getCanonicalName() //$NON-NLS-1$
        );
    }
    return ((ECFieldFp)field).getP();
}

private static ECCurve toSpongyCastleECCurve(final ECParameterSpec params) {
    final EllipticCurve curve = params.getCurve();
    final ECField field = curve.getField();
    if (!(field instanceof ECFieldFp)) {
        throw new IllegalArgumentException(
            "Solo se soporta 'ECFieldFp' y se proporciono  " + field.getClass().getCanonicalName() //$NON-NLS-1$
        );
    }
    final int coFactor = params.getCofactor();
    final BigInteger order = params.getOrder();
    final BigInteger a = curve.getA();
    final BigInteger b = curve.getB();
    final BigInteger p = getPrime(params);
    return new ECCurve.Fp(p, a, b, order, BigInteger.valueOf(coFactor));
}

private static BigInteger getPrime(final ECParameterSpec params) {
    if (params == null) {
        throw new IllegalArgumentException(
            "Los parametros no pueden ser nulos" //$NON-NLS-1$
        );
    }
    final EllipticCurve curve = params.getCurve();
    final ECField field = curve.getField();
    if (!(field instanceof ECFieldFp)) {
        throw new IllegalStateException(
            "Solo se soporta 'ECFieldFp' y se proporciono  " + field.getClass().getCanonicalName() //$NON-NLS-1$
        );
    }
    return ((ECFieldFp)field).getP();
}

private static Curve initializeCurve(String name, String oid,
        String sfield, String a, String b,
        String x, String y, String n, int h) {
    BigInteger p = bigInt(sfield);
    ECField field = new ECFieldFp(p);
    EllipticCurve curve = new EllipticCurve(field, bigInt(a),
                                            bigInt(b));
    ECPoint g = new ECPoint(bigInt(x), bigInt(y));
    return new Curve(name, oid, curve, g, bigInt(n), h);
}

private static ECParameterSpec initECParams(
        String sfield, String a, String b, String gx, String gy,
        String n, int h) {
    ECField field = new ECFieldFp(bigInt(sfield));
    EllipticCurve curve = new EllipticCurve(field,
                                            bigInt(a), bigInt(b));
    ECPoint g = new ECPoint(bigInt(gx), bigInt(gy));
    return new ECParameterSpec(curve, g, bigInt(n), h);
}

private static Curve initializeCurve(String name, String oid,
        String sfield, String a, String b,
        String x, String y, String n, int h) {
    BigInteger p = bigInt(sfield);
    ECField field = new ECFieldFp(p);
    EllipticCurve curve = new EllipticCurve(field, bigInt(a),
                                            bigInt(b));
    ECPoint g = new ECPoint(bigInt(x), bigInt(y));
    return new Curve(name, oid, curve, g, bigInt(n), h);
}

/**
 * Returns the modulus of the field used by the curve specified in ecParams.
 *
 * @param curve must be a prime order elliptic curve
 * @return the order of the finite field over which curve is defined.
 */
public static BigInteger getModulus(EllipticCurve curve) throws GeneralSecurityException {
  java.security.spec.ECField field = curve.getField();
  if (field instanceof java.security.spec.ECFieldFp) {
    return ((java.security.spec.ECFieldFp) field).getP();
  } else {
    throw new GeneralSecurityException("Only curves over prime order fields are supported");
  }
}

/**
 * Decompress a point on an elliptic curve.
 *
 * @param bytes The compressed point. Its representation is z || x where z is 2+lsb(y) and x is
 *     using a unsigned fixed length big-endian representation.
 * @param ecParams the specification of the curve. Only Weierstrass curves over prime order fields
 *     are implemented.
 */
public static ECPoint decompressPoint(byte[] bytes, ECParameterSpec ecParams)
    throws GeneralSecurityException {
  EllipticCurve ec = ecParams.getCurve();
  ECField field = ec.getField();
  if (!(field instanceof ECFieldFp)) {
    throw new GeneralSecurityException("Only curves over prime order fields are supported");
  }
  BigInteger p = ((java.security.spec.ECFieldFp) field).getP();
  int expectedLength = 1 + (p.bitLength() + 7) / 8;
  if (bytes.length != expectedLength) {
    throw new GeneralSecurityException("compressed point has wrong length");
  }
  boolean lsb;
  switch (bytes[0]) {
    case 2:
      lsb = false;
      break;
    case 3:
      lsb = true;
      break;
    default:
      throw new GeneralSecurityException("Invalid format");
  }
  BigInteger x = new BigInteger(1, Arrays.copyOfRange(bytes, 1, bytes.length));
  if (x.compareTo(BigInteger.ZERO) == -1 || x.compareTo(p) != -1) {
    throw new GeneralSecurityException("x is out of range");
  }
  // Compute rhs == x^3 + a x + b (mod p)
  BigInteger rhs = x.multiply(x).add(ec.getA()).multiply(x).add(ec.getB()).mod(p);
  BigInteger y = modSqrt(rhs, p);
  if (lsb != y.testBit(0)) {
    y = p.subtract(y).mod(p);
  }
  return new ECPoint(x, y);
}

private static EllipticCurve convertCurve(
    ECCurve  curve,
    byte[]   seed)
{
    ECField field = convertField(curve.getField());
    BigInteger a = curve.getA().toBigInteger(), b = curve.getB().toBigInteger();
    return new EllipticCurve(field, a, b, seed);
}

private static ECField convertField(FiniteField field)
{
    if (ECAlgorithms.isFpField(field))
    {
        return new ECFieldFp(field.getCharacteristic());
    }
    else //if (ECAlgorithms.isF2mField(curveField))
    {
        Polynomial poly = ((PolynomialExtensionField)field).getMinimalPolynomial();
        int[] exponents = poly.getExponentsPresent();
        int[] ks = Arrays.reverse(Arrays.copyOfRange(exponents, 1, exponents.length - 1));
        return new ECFieldF2m(poly.getDegree(), ks);
    }
}

private static EllipticCurve convertCurve(
    ECCurve curve)
{
    ECField field = convertField(curve.getField());
    BigInteger a = curve.getA().toBigInteger(), b = curve.getB().toBigInteger();

    // TODO: the Sun EC implementation doesn't currently handle the seed properly
    // so at the moment it's set to null. Should probably look at making this configurable
    return new EllipticCurve(field, a, b, null);
}

private static ECField convertField(FiniteField field)
{
    if (ECAlgorithms.isFpField(field))
    {
        return new ECFieldFp(field.getCharacteristic());
    }
    else //if (ECAlgorithms.isF2mField(curveField))
    {
        Polynomial poly = ((PolynomialExtensionField)field).getMinimalPolynomial();
        int[] exponents = poly.getExponentsPresent();
        int[] ks = Arrays.reverse(Arrays.copyOfRange(exponents, 1, exponents.length - 1));
        return new ECFieldF2m(poly.getDegree(), ks);
    }
}

public static EllipticCurve convertCurve(
    ECCurve curve, 
    byte[]  seed)
{
    ECField field = convertField(curve.getField());
    BigInteger a = curve.getA().toBigInteger(), b = curve.getB().toBigInteger();

    // TODO: the Sun EC implementation doesn't currently handle the seed properly
    // so at the moment it's set to null. Should probably look at making this configurable
    return new EllipticCurve(field, a, b, null);
}

public static ECField convertField(FiniteField field)
{
    if (ECAlgorithms.isFpField(field))
    {
        return new ECFieldFp(field.getCharacteristic());
    }
    else //if (ECAlgorithms.isF2mField(curveField))
    {
        Polynomial poly = ((PolynomialExtensionField)field).getMinimalPolynomial();
        int[] exponents = poly.getExponentsPresent();
        int[] ks = Arrays.reverse(Arrays.copyOfRange(exponents, 1, exponents.length - 1));
        return new ECFieldF2m(poly.getDegree(), ks);
    }
}

/**
 * @tests java/security/spec/EllipticCurve#EllipticCurve(EcField,BigInteger,BigInteger)
 */
@TestTargetNew(
    level = TestLevel.PARTIAL_COMPLETE,
    notes = "Regression test.",
    method = "EllipticCurve",
    args = {java.security.spec.ECField.class, java.math.BigInteger.class, java.math.BigInteger.class}
)
public final void testEllipticCurveECFieldBigIntegerBigInteger05() {
    // Regression for Harmony-731
    EllipticCurve ec = new EllipticCurve(new testECField(), BigInteger
            .valueOf(4L), BigInteger.ONE);
    assertEquals("incorrect a", ec.getA(), BigInteger.valueOf(4L));
    assertEquals("incorrect b", ec.getB(), BigInteger.ONE);
    assertEquals("incorrect size", ec.getField().getFieldSize(), 2);
}

public static void assertECFieldEquals(String message, ECField expected, ECField actual) {
    if (expected == actual) {
        return;
    }

    assertEquals(message + "[size]", expected.getFieldSize(), actual.getFieldSize());
}

public ECParameterSpec genSpec() {
    BigInteger pb = new NativeBigInteger(ps);
    BigInteger nb = new NativeBigInteger(ns);
    BigInteger sb = new NativeBigInteger(ss.replace(" ", ""), 16);
    BigInteger bb = new NativeBigInteger(bs.replace(" ", ""), 16);
    BigInteger gxb = new NativeBigInteger(gxs.replace(" ", ""), 16);
    BigInteger gyb = new NativeBigInteger(gys.replace(" ", ""), 16);
    BigInteger ab = new NativeBigInteger(A.mod(pb));
    ECField field = new ECFieldFp(pb);
    EllipticCurve curve = new EllipticCurve(field, ab, bb, sb.toByteArray());
    ECPoint g = new ECPoint(gxb, gyb);
    return new ECParameterSpec(curve, g, nb, H);
}

public ECParameterSpec genSpec() {
    BigInteger pb = new NativeBigInteger(ps);
    BigInteger nb = new NativeBigInteger(ns);
    BigInteger sb = new NativeBigInteger(ss.replace(" ", ""), 16);
    BigInteger bb = new NativeBigInteger(bs.replace(" ", ""), 16);
    BigInteger gxb = new NativeBigInteger(gxs.replace(" ", ""), 16);
    BigInteger gyb = new NativeBigInteger(gys.replace(" ", ""), 16);
    BigInteger ab = new NativeBigInteger(A.mod(pb));
    ECField field = new ECFieldFp(pb);
    EllipticCurve curve = new EllipticCurve(field, ab, bb, sb.toByteArray());
    ECPoint g = new ECPoint(gxb, gyb);
    return new ECParameterSpec(curve, g, nb, H);
}

private static void addParameterSpec(int namedCurveId, String p, String a, String b, String x, String y, String n, int h) {
    ECField field = new ECFieldFp(new BigInteger(p, 16));
    EllipticCurve curve = new EllipticCurve(field, new BigInteger(a, 16), new BigInteger(b, 16));
    ECPoint g = new ECPoint(new BigInteger(x, 16), new BigInteger(y, 16));
    ECParameterSpec params = new ECParameterSpec(curve, g, new BigInteger(n, 16), h);
    NAMED_CURVE_PARAMETERS.put(namedCurveId, params);
}

MyEllipticCurve(ECField f, BigInteger a, BigInteger b, byte[] seed) {
    super(f, a, b, seed);
}

MyEllipticCurve(ECField f, BigInteger a, BigInteger b, byte[] seed) {
    super(f, a, b, seed);
}