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
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
|
package org.bouncycastle.crypto.ec;
import java.math.BigInteger;
import java.util.Enumeration;
import java.util.Hashtable;
import org.bouncycastle.asn1.ASN1ObjectIdentifier;
import org.bouncycastle.asn1.sec.SECObjectIdentifiers;
import org.bouncycastle.asn1.x9.X9ECParameters;
import org.bouncycastle.asn1.x9.X9ECParametersHolder;
import org.bouncycastle.math.ec.ECCurve;
import org.bouncycastle.math.ec.ECPoint;
// BEGIN android-removed
// import org.bouncycastle.math.ec.custom.djb.Curve25519;
// END android-removed
import org.bouncycastle.math.ec.custom.sec.SecP192K1Curve;
import org.bouncycastle.math.ec.custom.sec.SecP192R1Curve;
import org.bouncycastle.math.ec.custom.sec.SecP224K1Curve;
import org.bouncycastle.math.ec.custom.sec.SecP224R1Curve;
import org.bouncycastle.math.ec.custom.sec.SecP256K1Curve;
import org.bouncycastle.math.ec.custom.sec.SecP256R1Curve;
import org.bouncycastle.math.ec.custom.sec.SecP384R1Curve;
import org.bouncycastle.math.ec.custom.sec.SecP521R1Curve;
import org.bouncycastle.math.ec.endo.GLVTypeBEndomorphism;
import org.bouncycastle.math.ec.endo.GLVTypeBParameters;
import org.bouncycastle.util.Strings;
import org.bouncycastle.util.encoders.Hex;
public class CustomNamedCurves
{
private static ECCurve configureCurve(ECCurve curve)
{
return curve;
}
private static ECCurve configureCurveGLV(ECCurve c, GLVTypeBParameters p)
{
return c.configure().setEndomorphism(new GLVTypeBEndomorphism(c, p)).create();
}
// BEGIN android-removed
// /*
// * curve25519
// */
// static X9ECParametersHolder curve25519 = new X9ECParametersHolder()
// {
// protected X9ECParameters createParameters()
// {
// byte[] S = null;
// ECCurve curve = configureCurve(new Curve25519());
//
// /*
// * NOTE: Curve25519 was specified in Montgomery form. Rewriting in Weierstrass form
// * involves substitution of variables, so the base-point x coordinate is 9 + (486662 / 3).
// *
// * The Curve25519 paper doesn't say which of the two possible y values the base
// * point has. The choice here is guided by language in the Ed25519 paper.
// *
// * (The other possible y value is 5F51E65E475F794B1FE122D388B72EB36DC2B28192839E4DD6163A5D81312C14)
// */
// ECPoint G = curve.decodePoint(Hex.decode("04"
// + "2AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAD245A"
// + "20AE19A1B8A086B4E01EDD2C7748D14C923D4D7E6D7C61B229E9C5A27ECED3D9"));
//
// return new X9ECParameters(curve, G, curve.getOrder(), curve.getCofactor(), S);
// }
// };
// END android-removed
/*
* secp192k1
*/
static X9ECParametersHolder secp192k1 = new X9ECParametersHolder()
{
protected X9ECParameters createParameters()
{
byte[] S = null;
GLVTypeBParameters glv = new GLVTypeBParameters(
new BigInteger("bb85691939b869c1d087f601554b96b80cb4f55b35f433c2", 16),
new BigInteger("3d84f26c12238d7b4f3d516613c1759033b1a5800175d0b1", 16),
new BigInteger[]{
new BigInteger("71169be7330b3038edb025f1", 16),
new BigInteger("-b3fb3400dec5c4adceb8655c", 16) },
new BigInteger[]{
new BigInteger("12511cfe811d0f4e6bc688b4d", 16),
new BigInteger("71169be7330b3038edb025f1", 16) },
new BigInteger("71169be7330b3038edb025f1d0f9", 16),
new BigInteger("b3fb3400dec5c4adceb8655d4c94", 16),
208);
ECCurve curve = configureCurveGLV(new SecP192K1Curve(), glv);
ECPoint G = curve.decodePoint(Hex.decode("04"
+ "DB4FF10EC057E9AE26B07D0280B7F4341DA5D1B1EAE06C7D"
+ "9B2F2F6D9C5628A7844163D015BE86344082AA88D95E2F9D"));
return new X9ECParameters(curve, G, curve.getOrder(), curve.getCofactor(), S);
}
};
/*
* secp192r1
*/
static X9ECParametersHolder secp192r1 = new X9ECParametersHolder()
{
protected X9ECParameters createParameters()
{
byte[] S = Hex.decode("3045AE6FC8422F64ED579528D38120EAE12196D5");
ECCurve curve = configureCurve(new SecP192R1Curve());
ECPoint G = curve.decodePoint(Hex.decode("04"
+ "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012"
+ "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811"));
return new X9ECParameters(curve, G, curve.getOrder(), curve.getCofactor(), S);
}
};
/*
* secp224k1
*/
static X9ECParametersHolder secp224k1 = new X9ECParametersHolder()
{
protected X9ECParameters createParameters()
{
byte[] S = null;
GLVTypeBParameters glv = new GLVTypeBParameters(
new BigInteger("fe0e87005b4e83761908c5131d552a850b3f58b749c37cf5b84d6768", 16),
new BigInteger("60dcd2104c4cbc0be6eeefc2bdd610739ec34e317f9b33046c9e4788", 16),
new BigInteger[]{
new BigInteger("6b8cf07d4ca75c88957d9d670591", 16),
new BigInteger("-b8adf1378a6eb73409fa6c9c637d", 16) },
new BigInteger[]{
new BigInteger("1243ae1b4d71613bc9f780a03690e", 16),
new BigInteger("6b8cf07d4ca75c88957d9d670591", 16) },
new BigInteger("6b8cf07d4ca75c88957d9d67059037a4", 16),
new BigInteger("b8adf1378a6eb73409fa6c9c637ba7f5", 16),
240);
ECCurve curve = configureCurveGLV(new SecP224K1Curve(), glv);
ECPoint G = curve.decodePoint(Hex.decode("04"
+ "A1455B334DF099DF30FC28A169A467E9E47075A90F7E650EB6B7A45C"
+ "7E089FED7FBA344282CAFBD6F7E319F7C0B0BD59E2CA4BDB556D61A5"));
return new X9ECParameters(curve, G, curve.getOrder(), curve.getCofactor(), S);
}
};
/*
* secp224r1
*/
static X9ECParametersHolder secp224r1 = new X9ECParametersHolder()
{
protected X9ECParameters createParameters()
{
byte[] S = Hex.decode("BD71344799D5C7FCDC45B59FA3B9AB8F6A948BC5");
ECCurve curve = configureCurve(new SecP224R1Curve());
ECPoint G = curve.decodePoint(Hex.decode("04"
+ "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21"
+ "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34"));
return new X9ECParameters(curve, G, curve.getOrder(), curve.getCofactor(), S);
}
};
/*
* secp256k1
*/
static X9ECParametersHolder secp256k1 = new X9ECParametersHolder()
{
protected X9ECParameters createParameters()
{
byte[] S = null;
GLVTypeBParameters glv = new GLVTypeBParameters(
new BigInteger("7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee", 16),
new BigInteger("5363ad4cc05c30e0a5261c028812645a122e22ea20816678df02967c1b23bd72", 16),
new BigInteger[]{
new BigInteger("3086d221a7d46bcde86c90e49284eb15", 16),
new BigInteger("-e4437ed6010e88286f547fa90abfe4c3", 16) },
new BigInteger[]{
new BigInteger("114ca50f7a8e2f3f657c1108d9d44cfd8", 16),
new BigInteger("3086d221a7d46bcde86c90e49284eb15", 16) },
new BigInteger("3086d221a7d46bcde86c90e49284eb153dab", 16),
new BigInteger("e4437ed6010e88286f547fa90abfe4c42212", 16),
272);
ECCurve curve = configureCurveGLV(new SecP256K1Curve(), glv);
ECPoint G = curve.decodePoint(Hex.decode("04"
+ "79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798"
+ "483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8"));
return new X9ECParameters(curve, G, curve.getOrder(), curve.getCofactor(), S);
}
};
/*
* secp256r1
*/
static X9ECParametersHolder secp256r1 = new X9ECParametersHolder()
{
protected X9ECParameters createParameters()
{
byte[] S = Hex.decode("C49D360886E704936A6678E1139D26B7819F7E90");
ECCurve curve = configureCurve(new SecP256R1Curve());
ECPoint G = curve.decodePoint(Hex.decode("04"
+ "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296"
+ "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5"));
return new X9ECParameters(curve, G, curve.getOrder(), curve.getCofactor(), S);
}
};
/*
* secp384r1
*/
static X9ECParametersHolder secp384r1 = new X9ECParametersHolder()
{
protected X9ECParameters createParameters()
{
byte[] S = Hex.decode("A335926AA319A27A1D00896A6773A4827ACDAC73");
ECCurve curve = configureCurve(new SecP384R1Curve());
ECPoint G = curve.decodePoint(Hex.decode("04"
+ "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B9859F741E082542A385502F25DBF55296C3A545E3872760AB7"
+ "3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A147CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F"));
return new X9ECParameters(curve, G, curve.getOrder(), curve.getCofactor(), S);
}
};
/*
* secp521r1
*/
static X9ECParametersHolder secp521r1 = new X9ECParametersHolder()
{
protected X9ECParameters createParameters()
{
byte[] S = Hex.decode("D09E8800291CB85396CC6717393284AAA0DA64BA");
ECCurve curve = configureCurve(new SecP521R1Curve());
ECPoint G = curve.decodePoint(Hex.decode("04"
+ "00C6858E06B70404E9CD9E3ECB662395B4429C648139053FB521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B3C1856A429BF97E7E31C2E5BD66"
+ "011839296A789A3BC0045C8A5FB42C7D1BD998F54449579B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C7086A272C24088BE94769FD16650"));
return new X9ECParameters(curve, G, curve.getOrder(), curve.getCofactor(), S);
}
};
static final Hashtable nameToCurve = new Hashtable();
static final Hashtable nameToOID = new Hashtable();
static final Hashtable oidToCurve = new Hashtable();
static final Hashtable oidToName = new Hashtable();
static void defineCurve(String name, X9ECParametersHolder holder)
{
nameToCurve.put(name, holder);
}
static void defineCurveWithOID(String name, ASN1ObjectIdentifier oid, X9ECParametersHolder holder)
{
nameToCurve.put(name, holder);
nameToOID.put(name, oid);
oidToName.put(oid, name);
oidToCurve.put(oid, holder);
}
static void defineCurveAlias(String alias, ASN1ObjectIdentifier oid)
{
alias = Strings.toLowerCase(alias);
nameToOID.put(alias, oid);
nameToCurve.put(alias, oidToCurve.get(oid));
}
static
{
// BEGIN android-removed
// defineCurve("curve25519", curve25519);
// END android-removed
defineCurveWithOID("secp192k1", SECObjectIdentifiers.secp192k1, secp192k1);
defineCurveWithOID("secp192r1", SECObjectIdentifiers.secp192r1, secp192r1);
defineCurveWithOID("secp224k1", SECObjectIdentifiers.secp224k1, secp224k1);
defineCurveWithOID("secp224r1", SECObjectIdentifiers.secp224r1, secp224r1);
defineCurveWithOID("secp256k1", SECObjectIdentifiers.secp256k1, secp256k1);
defineCurveWithOID("secp256r1", SECObjectIdentifiers.secp256r1, secp256r1);
defineCurveWithOID("secp384r1", SECObjectIdentifiers.secp384r1, secp384r1);
defineCurveWithOID("secp521r1", SECObjectIdentifiers.secp521r1, secp521r1);
defineCurveAlias("P-192", SECObjectIdentifiers.secp192r1);
defineCurveAlias("P-224", SECObjectIdentifiers.secp224r1);
defineCurveAlias("P-256", SECObjectIdentifiers.secp256r1);
defineCurveAlias("P-384", SECObjectIdentifiers.secp384r1);
defineCurveAlias("P-521", SECObjectIdentifiers.secp521r1);
}
public static X9ECParameters getByName(String name)
{
X9ECParametersHolder holder = (X9ECParametersHolder)nameToCurve.get(Strings.toLowerCase(name));
return holder == null ? null : holder.getParameters();
}
/**
* return the X9ECParameters object for the named curve represented by the passed in object
* identifier. Null if the curve isn't present.
*
* @param oid
* an object identifier representing a named curve, if present.
*/
public static X9ECParameters getByOID(ASN1ObjectIdentifier oid)
{
X9ECParametersHolder holder = (X9ECParametersHolder)oidToCurve.get(oid);
return holder == null ? null : holder.getParameters();
}
/**
* return the object identifier signified by the passed in name. Null if there is no object
* identifier associated with name.
*
* @return the object identifier associated with name, if present.
*/
public static ASN1ObjectIdentifier getOID(String name)
{
return (ASN1ObjectIdentifier)nameToOID.get(Strings.toLowerCase(name));
}
/**
* return the named curve name represented by the given object identifier.
*/
public static String getName(ASN1ObjectIdentifier oid)
{
return (String)oidToName.get(oid);
}
/**
* returns an enumeration containing the name strings for curves contained in this structure.
*/
public static Enumeration getNames()
{
return nameToCurve.keys();
}
}
|
