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
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
|
using System;
using Org.BouncyCastle.Math.Raw;
using Org.BouncyCastle.Utilities.Encoders;
namespace Org.BouncyCastle.Math.EC.Custom.Sec
{
internal class SecT163R1Curve
: AbstractF2mCurve
{
private const int SECT163R1_DEFAULT_COORDS = COORD_LAMBDA_PROJECTIVE;
private const int SECT163R1_FE_LONGS = 3;
private static readonly ECFieldElement[] SECT163R1_AFFINE_ZS = new ECFieldElement[] { new SecT163FieldElement(BigInteger.One) };
protected readonly SecT163R1Point m_infinity;
public SecT163R1Curve()
: base(163, 3, 6, 7)
{
this.m_infinity = new SecT163R1Point(this, null, null);
this.m_a = FromBigInteger(new BigInteger(1, Hex.Decode("07B6882CAAEFA84F9554FF8428BD88E246D2782AE2")));
this.m_b = FromBigInteger(new BigInteger(1, Hex.Decode("0713612DCDDCB40AAB946BDA29CA91F73AF958AFD9")));
this.m_order = new BigInteger(1, Hex.Decode("03FFFFFFFFFFFFFFFFFFFF48AAB689C29CA710279B"));
this.m_cofactor = BigInteger.Two;
this.m_coord = SECT163R1_DEFAULT_COORDS;
}
protected override ECCurve CloneCurve()
{
return new SecT163R1Curve();
}
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 163; }
}
public override ECFieldElement FromBigInteger(BigInteger x)
{
return new SecT163FieldElement(x);
}
protected internal override ECPoint CreateRawPoint(ECFieldElement x, ECFieldElement y, bool withCompression)
{
return new SecT163R1Point(this, x, y, withCompression);
}
protected internal override ECPoint CreateRawPoint(ECFieldElement x, ECFieldElement y, ECFieldElement[] zs, bool withCompression)
{
return new SecT163R1Point(this, x, y, zs, withCompression);
}
public override bool IsKoblitz
{
get { return false; }
}
public virtual int M
{
get { return 163; }
}
public virtual bool IsTrinomial
{
get { return false; }
}
public virtual int K1
{
get { return 3; }
}
public virtual int K2
{
get { return 6; }
}
public virtual int K3
{
get { return 7; }
}
public override ECLookupTable CreateCacheSafeLookupTable(ECPoint[] points, int off, int len)
{
ulong[] table = new ulong[len * SECT163R1_FE_LONGS * 2];
{
int pos = 0;
for (int i = 0; i < len; ++i)
{
ECPoint p = points[off + i];
Nat192.Copy64(((SecT163FieldElement)p.RawXCoord).x, 0, table, pos); pos += SECT163R1_FE_LONGS;
Nat192.Copy64(((SecT163FieldElement)p.RawYCoord).x, 0, table, pos); pos += SECT163R1_FE_LONGS;
}
}
return new SecT163R1LookupTable(this, table, len);
}
private class SecT163R1LookupTable
: AbstractECLookupTable
{
private readonly SecT163R1Curve m_outer;
private readonly ulong[] m_table;
private readonly int m_size;
internal SecT163R1LookupTable(SecT163R1Curve 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 = 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 < SECT163R1_FE_LONGS; ++j)
{
x[j] ^= m_table[pos + j] & MASK;
y[j] ^= m_table[pos + SECT163R1_FE_LONGS + j] & MASK;
}
pos += (SECT163R1_FE_LONGS * 2);
}
return CreatePoint(x, y);
}
public override ECPoint LookupVar(int index)
{
ulong[] x = Nat192.Create64(), y = Nat192.Create64();
int pos = index * SECT163R1_FE_LONGS * 2;
for (int j = 0; j < SECT163R1_FE_LONGS; ++j)
{
x[j] = m_table[pos + j];
y[j] = m_table[pos + SECT163R1_FE_LONGS + j];
}
return CreatePoint(x, y);
}
private ECPoint CreatePoint(ulong[] x, ulong[] y)
{
return m_outer.CreateRawPoint(new SecT163FieldElement(x), new SecT163FieldElement(y), SECT163R1_AFFINE_ZS, false);
}
}
}
}
|
