public MqvPublicParameters(
ECPublicKeyParameters staticPublicKey,
ECPublicKeyParameters ephemeralPublicKey)
{
this.staticPublicKey = staticPublicKey;
this.ephemeralPublicKey = ephemeralPublicKey;
}
// The ECMQV Primitive as described in SEC-1, 3.4
private static ECPoint CalculateMqvAgreement(
ECDomainParameters parameters,
ECPrivateKeyParameters d1U,
ECPrivateKeyParameters d2U,
ECPublicKeyParameters Q2U,
ECPublicKeyParameters Q1V,
ECPublicKeyParameters Q2V)
{
BigInteger n = parameters.N;
int e = (n.BitLength + 1) / 2;
BigInteger powE = BigInteger.One.ShiftLeft(e);
ECCurve curve = parameters.Curve;
ECPoint[] points = new ECPoint[]{
// The Q2U public key is optional
ECAlgorithms.ImportPoint(curve, Q2U == null ? parameters.G.Multiply(d2U.D) : Q2U.Q),
ECAlgorithms.ImportPoint(curve, Q1V.Q),
ECAlgorithms.ImportPoint(curve, Q2V.Q)
};
curve.NormalizeAll(points);
ECPoint q2u = points[0], q1v = points[1], q2v = points[2];
BigInteger x = q2u.AffineXCoord.ToBigInteger();
BigInteger xBar = x.Mod(powE);
BigInteger Q2UBar = xBar.SetBit(e);
BigInteger s = d1U.D.Multiply(Q2UBar).Add(d2U.D).Mod(n);
BigInteger xPrime = q2v.AffineXCoord.ToBigInteger();
BigInteger xPrimeBar = xPrime.Mod(powE);
BigInteger Q2VBar = xPrimeBar.SetBit(e);
BigInteger hs = parameters.H.Multiply(s).Mod(n);
return ECAlgorithms.SumOfTwoMultiplies(
q1v, Q2VBar.Multiply(hs).Mod(n), q2v, hs);
}
protected bool Equals(
ECPublicKeyParameters other)
{
return(q.Equals(other.q) && base.Equals(other));
}
protected bool Equals(
ECPublicKeyParameters other)
{
return q.Equals(other.q) && base.Equals(other);
}
