using System; using Org.BouncyCastle.Math.EC.Multiplier; using Org.BouncyCastle.Math.Raw; using Org.BouncyCastle.Utilities.Encoders; namespace Org.BouncyCastle.Math.EC.Custom.Sec { internal class SecT409K1Curve : AbstractF2mCurve { private const int SECT409K1_DEFAULT_COORDS = COORD_LAMBDA_PROJECTIVE; private const int SECT409K1_FE_LONGS = 7; private static readonly ECFieldElement[] SECT409K1_AFFINE_ZS = new ECFieldElement[] { new SecT409FieldElement(BigInteger.One) }; protected readonly SecT409K1Point m_infinity; public SecT409K1Curve() : base(409, 87, 0, 0) { this.m_infinity = new SecT409K1Point(this, null, null); this.m_a = FromBigInteger(BigInteger.Zero); this.m_b = FromBigInteger(BigInteger.One); this.m_order = new BigInteger(1, Hex.DecodeStrict("7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF")); this.m_cofactor = BigInteger.ValueOf(4); this.m_coord = SECT409K1_DEFAULT_COORDS; } protected override ECCurve CloneCurve() { return new SecT409K1Curve(); } public override bool SupportsCoordinateSystem(int coord) { switch (coord) { case COORD_LAMBDA_PROJECTIVE: return true; default: return false; } } protected override ECMultiplier CreateDefaultMultiplier() { return new WTauNafMultiplier(); } public override ECPoint Infinity { get { return m_infinity; } } public override int FieldSize { get { return 409; } } public override ECFieldElement FromBigInteger(BigInteger x) { return new SecT409FieldElement(x); } protected internal override ECPoint CreateRawPoint(ECFieldElement x, ECFieldElement y) { return new SecT409K1Point(this, x, y); } protected internal override ECPoint CreateRawPoint(ECFieldElement x, ECFieldElement y, ECFieldElement[] zs) { return new SecT409K1Point(this, x, y, zs); } public override bool IsKoblitz { get { return true; } } public virtual int M { get { return 409; } } public virtual bool IsTrinomial { get { return true; } } public virtual int K1 { get { return 87; } } public virtual int K2 { get { return 0; } } public virtual int K3 { get { return 0; } } public override ECLookupTable CreateCacheSafeLookupTable(ECPoint[] points, int off, int len) { ulong[] table = new ulong[len * SECT409K1_FE_LONGS * 2]; { int pos = 0; for (int i = 0; i < len; ++i) { ECPoint p = points[off + i]; Nat448.Copy64(((SecT409FieldElement)p.RawXCoord).x, 0, table, pos); pos += SECT409K1_FE_LONGS; Nat448.Copy64(((SecT409FieldElement)p.RawYCoord).x, 0, table, pos); pos += SECT409K1_FE_LONGS; } } return new SecT409K1LookupTable(this, table, len); } private class SecT409K1LookupTable : AbstractECLookupTable { private readonly SecT409K1Curve m_outer; private readonly ulong[] m_table; private readonly int m_size; internal SecT409K1LookupTable(SecT409K1Curve outer, ulong[] table, int size) { this.m_outer = outer; this.m_table = table; this.m_size = size; } public override int Size { get { return m_size; } } public override ECPoint Lookup(int index) { ulong[] x = Nat448.Create64(), y = Nat448.Create64(); int pos = 0; for (int i = 0; i < m_size; ++i) { ulong MASK = (ulong)(long)(((i ^ index) - 1) >> 31); for (int j = 0; j < SECT409K1_FE_LONGS; ++j) { x[j] ^= m_table[pos + j] & MASK; y[j] ^= m_table[pos + SECT409K1_FE_LONGS + j] & MASK; } pos += (SECT409K1_FE_LONGS * 2); } return CreatePoint(x, y); } public override ECPoint LookupVar(int index) { ulong[] x = Nat448.Create64(), y = Nat448.Create64(); int pos = index * SECT409K1_FE_LONGS * 2; for (int j = 0; j < SECT409K1_FE_LONGS; ++j) { x[j] = m_table[pos + j]; y[j] = m_table[pos + SECT409K1_FE_LONGS + j]; } return CreatePoint(x, y); } private ECPoint CreatePoint(ulong[] x, ulong[] y) { return m_outer.CreateRawPoint(new SecT409FieldElement(x), new SecT409FieldElement(y), SECT409K1_AFFINE_ZS); } } } }