/// <summary>
/// Generates a random private-public key pair.
/// </summary>
/// <returns>The tuple consists of a private and public key</returns>
public (BigInteger privateKey, BigIntegerPoint publicKey) GenerateKeyPair()
{
BigInteger privateKey = RandomIntegerBelow(Curve.n);
BigIntegerPoint publicKey = ScalarMult(privateKey, Curve.G);
return(privateKey, publicKey);
}
/// <summary>
/// Generates signature.
/// </summary>
/// <param name="privateKey"></param>
/// <param name="message"></param>
/// <returns></returns>
public (BigInteger r, BigInteger s) SignMessage(BigInteger privateKey, string message)
{
BigInteger z = HashMessage(message);
BigInteger r = 0;
BigInteger s = 0;
while (r == 0 || s == 0)
{
BigInteger k = RandomIntegerBelow(Curve.n);
BigIntegerPoint point = ScalarMult(k, Curve.G);
r = MathMod(point.X, Curve.n);
s = MathMod((z + r * privateKey) * InverseMod(k, Curve.n), Curve.n);
}
return(r, s);
}
public bool VerifySignature(BigIntegerPoint publicKey, string message,
(BigInteger r, BigInteger s) signature)