using System; namespace NBitcoin.BouncyCastle.Math.Field { internal abstract class FiniteFields { internal static readonly IFiniteField GF_2 = new PrimeField(BigInteger.ValueOf(2)); internal static readonly IFiniteField GF_3 = new PrimeField(BigInteger.ValueOf(3)); public static IPolynomialExtensionField GetBinaryExtensionField(int[] exponents) { if(exponents[0] != 0) { throw new ArgumentException("Irreducible polynomials in GF(2) must have constant term", "exponents"); } for(int i = 1; i < exponents.Length; ++i) { if(exponents[i] <= exponents[i - 1]) { throw new ArgumentException("Polynomial exponents must be montonically increasing", "exponents"); } } return new GenericPolynomialExtensionField(GF_2, new GF2Polynomial(exponents)); } // public static IPolynomialExtensionField GetTernaryExtensionField(Term[] terms) // { // return new GenericPolynomialExtensionField(GF_3, new GF3Polynomial(terms)); // } public static IFiniteField GetPrimeField(BigInteger characteristic) { int bitLength = characteristic.BitLength; if(characteristic.SignValue <= 0 || bitLength < 2) { throw new ArgumentException("Must be >= 2", "characteristic"); } if(bitLength < 3) { switch(characteristic.IntValue) { case 2: return GF_2; case 3: return GF_3; } } return new PrimeField(characteristic); } } }