NistP521.cs

using System.Numerics;
 
namespace Waher.Security.EllipticCurves
{
    public class NistP521 : NistPrimeCurve
    {
        private static readonly BigInteger p0 = BigInteger.Pow(2, 521) - 1;
        private static readonly BigInteger n0 = BigInteger.Parse("6864797660130609714981900799081393217269435300143305409394463459185543183397655394245057746333217197532963996371363321113864768612440380340372808892707005449");
        private static readonly BigInteger B0 = ToBigInteger(new uint[]
        {
            0x51, 0x953eb961, 0x8e1c9a1f, 0x929a21a0, 0xb68540ee, 0xa2da725b, 
            0x99b315f3, 0xb8b48991, 0x8ef109e1, 0x56193951, 0xec7e937b, 0x1652c0bd, 
            0x3bb1bf07, 0x3573df88, 0x3d2c34f1, 0xef451fd4, 0x6b503f00
        });
        private static readonly BigInteger BasePointX = ToBigInteger(new uint[]
        {
            0xc6, 0x858e06b7, 0x0404e9cd, 0x9e3ecb66, 0x2395b442, 0x9c648139, 0x053fb521, 0xf828af60, 0x6b4d3dba,
            0xa14b5e77, 0xefe75928, 0xfe1dc127, 0xa2ffa8de, 0x3348b3c1, 0x856a429b, 0xf97e7e31, 0xc2e5bd66
        });
        private static readonly BigInteger BasePointY = ToBigInteger(new uint[]
        {
            0x118, 0x39296a78, 0x9a3bc004, 0x5c8a5fb4, 0x2c7d1bd9, 0x98f54449, 0x579b4468, 0x17afbd17, 0x273e662c,
            0x97ee7299, 0x5ef42640, 0xc550b901, 0x3fad0761, 0x353c7086, 0xa272c240, 0x88be9476, 0x9fd16650
        });
 
        public NistP521()
            : base(p0, new PointOnCurve(BasePointX, BasePointY), B0, n0)
        {
        }
 
        public NistP521(byte[] Secret)
            : base(p0, new PointOnCurve(BasePointX, BasePointY), B0, n0, Secret)
        {
        }
 
        public override string CurveName => "NIST P-521";
 
        public override HashFunctionArray HashFunction => Hashes.ComputeSHA512Hash;
 
        public override HashFunctionStream HashFunctionStream => Hashes.ComputeSHA512Hash;
    }
}