summary refs log tree commit diff
path: root/crypto/src/math/ec/custom/sec/SecT131R1Curve.cs
blob: 06f0a79ae6a1ab33b41f06f06646d934602d6637 (plain) (blame)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
using System;

using Org.BouncyCastle.Math.Raw;
using Org.BouncyCastle.Utilities.Encoders;

namespace Org.BouncyCastle.Math.EC.Custom.Sec
{
    internal class SecT131R1Curve
        : AbstractF2mCurve
    {
        private const int SECT131R1_DEFAULT_COORDS = COORD_LAMBDA_PROJECTIVE;
        private const int SECT131R1_FE_LONGS = 3;

        protected readonly SecT131R1Point m_infinity;

        public SecT131R1Curve()
            : base(131, 2, 3, 8)
        {
            this.m_infinity = new SecT131R1Point(this, null, null);

            this.m_a = FromBigInteger(new BigInteger(1, Hex.Decode("07A11B09A76B562144418FF3FF8C2570B8")));
            this.m_b = FromBigInteger(new BigInteger(1, Hex.Decode("0217C05610884B63B9C6C7291678F9D341")));
            this.m_order = new BigInteger(1, Hex.Decode("0400000000000000023123953A9464B54D"));
            this.m_cofactor = BigInteger.Two;

            this.m_coord = SECT131R1_DEFAULT_COORDS;
        }

        protected override ECCurve CloneCurve()
        {
            return new SecT131R1Curve();
        }

        public override bool SupportsCoordinateSystem(int coord)
        {
            switch (coord)
            {
            case COORD_LAMBDA_PROJECTIVE:
                return true;
            default:
                return false;
            }
        }

        public override ECPoint Infinity
        {
            get { return m_infinity; }
        }

        public override int FieldSize
        {
            get { return 131; }
        }

        public override ECFieldElement FromBigInteger(BigInteger x)
        {
            return new SecT131FieldElement(x);
        }

        protected internal override ECPoint CreateRawPoint(ECFieldElement x, ECFieldElement y, bool withCompression)
        {
            return new SecT131R1Point(this, x, y, withCompression);
        }

        protected internal override ECPoint CreateRawPoint(ECFieldElement x, ECFieldElement y, ECFieldElement[] zs, bool withCompression)
        {
            return new SecT131R1Point(this, x, y, zs, withCompression);
        }

        public override bool IsKoblitz
        {
            get { return false; }
        }

        public virtual int M
        {
            get { return 131; }
        }

        public virtual bool IsTrinomial
        {
            get { return false; }
        }

        public virtual int K1
        {
            get { return 2; }
        }

        public virtual int K2
        {
            get { return 3; }
        }

        public virtual int K3
        {
            get { return 8; }
        }

        public override ECLookupTable CreateCacheSafeLookupTable(ECPoint[] points, int off, int len)
        {
            ulong[] table = new ulong[len * SECT131R1_FE_LONGS * 2];
            {
                int pos = 0;
                for (int i = 0; i < len; ++i)
                {
                    ECPoint p = points[off + i];
                    Nat192.Copy64(((SecT131FieldElement)p.RawXCoord).x, 0, table, pos); pos += SECT131R1_FE_LONGS;
                    Nat192.Copy64(((SecT131FieldElement)p.RawYCoord).x, 0, table, pos); pos += SECT131R1_FE_LONGS;
                }
            }

            return new SecT131R1LookupTable(this, table, len);
        }

        private class SecT131R1LookupTable
            : ECLookupTable
        {
            private readonly SecT131R1Curve m_outer;
            private readonly ulong[] m_table;
            private readonly int m_size;

            internal SecT131R1LookupTable(SecT131R1Curve outer, ulong[] table, int size)
            {
                this.m_outer = outer;
                this.m_table = table;
                this.m_size = size;
            }

            public virtual int Size
            {
                get { return m_size; }
            }

            public virtual ECPoint Lookup(int index)
            {
                ulong[] x = Nat192.Create64(), y = Nat192.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 < SECT131R1_FE_LONGS; ++j)
                    {
                        x[j] ^= m_table[pos + j] & MASK;
                        y[j] ^= m_table[pos + SECT131R1_FE_LONGS + j] & MASK;
                    }

                    pos += (SECT131R1_FE_LONGS * 2);
                }

                return m_outer.CreateRawPoint(new SecT131FieldElement(x), new SecT131FieldElement(y), false);
            }
        }
    }
}