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
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
|
/*************************************************
* OpenSSL Engine Source File *
* (C) 1999-2007 The Botan Project *
*************************************************/
#include <botan/eng_ossl.h>
#include <botan/bn_wrap.h>
#include <openssl/opensslv.h>
#if OPENSSL_VERSION_NUMBER < 0x0090700F
#error Your OpenSSL install is too old, upgrade to 0.9.7 or later
#endif
namespace Botan {
namespace {
/*************************************************
* OpenSSL IF Operation *
*************************************************/
class OpenSSL_IF_Op : public IF_Operation
{
public:
BigInt public_op(const BigInt&) const;
BigInt private_op(const BigInt&) const;
IF_Operation* clone() const { return new OpenSSL_IF_Op(*this); }
OpenSSL_IF_Op(const BigInt& e_bn, const BigInt& n_bn, const BigInt&,
const BigInt& p_bn, const BigInt& q_bn, const BigInt& d1_bn,
const BigInt& d2_bn, const BigInt& c_bn) :
e(e_bn), n(n_bn), p(p_bn), q(q_bn), d1(d1_bn), d2(d2_bn), c(c_bn) {}
private:
const OSSL_BN e, n, p, q, d1, d2, c;
OSSL_BN_CTX ctx;
};
/*************************************************
* OpenSSL IF Public Operation *
*************************************************/
BigInt OpenSSL_IF_Op::public_op(const BigInt& i_bn) const
{
OSSL_BN i(i_bn), r;
BN_mod_exp(r.value, i.value, e.value, n.value, ctx.value);
return r.to_bigint();
}
/*************************************************
* OpenSSL IF Private Operation *
*************************************************/
BigInt OpenSSL_IF_Op::private_op(const BigInt& i_bn) const
{
if(BN_is_zero(p.value))
throw Internal_Error("OpenSSL_IF_Op::private_op: No private key");
OSSL_BN j1, j2, h(i_bn);
BN_mod_exp(j1.value, h.value, d1.value, p.value, ctx.value);
BN_mod_exp(j2.value, h.value, d2.value, q.value, ctx.value);
BN_sub(h.value, j1.value, j2.value);
BN_mod_mul(h.value, h.value, c.value, p.value, ctx.value);
BN_mul(h.value, h.value, q.value, ctx.value);
BN_add(h.value, h.value, j2.value);
return h.to_bigint();
}
/*************************************************
* OpenSSL DSA Operation *
*************************************************/
class OpenSSL_DSA_Op : public DSA_Operation
{
public:
bool verify(const byte[], u32bit, const byte[], u32bit) const;
SecureVector<byte> sign(const byte[], u32bit, const BigInt&) const;
DSA_Operation* clone() const { return new OpenSSL_DSA_Op(*this); }
OpenSSL_DSA_Op(const DL_Group& group, const BigInt& y1,
const BigInt& x1) :
x(x1), y(y1), p(group.get_p()), q(group.get_q()), g(group.get_g()) {}
private:
const OSSL_BN x, y, p, q, g;
OSSL_BN_CTX ctx;
};
/*************************************************
* OpenSSL DSA Verify Operation *
*************************************************/
bool OpenSSL_DSA_Op::verify(const byte msg[], u32bit msg_len,
const byte sig[], u32bit sig_len) const
{
const u32bit q_bytes = q.bytes();
if(sig_len != 2*q_bytes || msg_len > q_bytes)
return false;
OSSL_BN r(sig, q_bytes);
OSSL_BN s(sig + q_bytes, q_bytes);
OSSL_BN i(msg, msg_len);
if(BN_is_zero(r.value) || BN_cmp(r.value, q.value) >= 0)
return false;
if(BN_is_zero(s.value) || BN_cmp(s.value, q.value) >= 0)
return false;
if(BN_mod_inverse(s.value, s.value, q.value, ctx.value) == 0)
return false;
OSSL_BN si;
BN_mod_mul(si.value, s.value, i.value, q.value, ctx.value);
BN_mod_exp(si.value, g.value, si.value, p.value, ctx.value);
OSSL_BN sr;
BN_mod_mul(sr.value, s.value, r.value, q.value, ctx.value);
BN_mod_exp(sr.value, y.value, sr.value, p.value, ctx.value);
BN_mod_mul(si.value, si.value, sr.value, p.value, ctx.value);
BN_nnmod(si.value, si.value, q.value, ctx.value);
if(BN_cmp(si.value, r.value) == 0)
return true;
return false;
}
/*************************************************
* OpenSSL DSA Sign Operation *
*************************************************/
SecureVector<byte> OpenSSL_DSA_Op::sign(const byte in[], u32bit length,
const BigInt& k_bn) const
{
if(BN_is_zero(x.value))
throw Internal_Error("OpenSSL_DSA_Op::sign: No private key");
OSSL_BN i(in, length);
OSSL_BN k(k_bn);
OSSL_BN r;
BN_mod_exp(r.value, g.value, k.value, p.value, ctx.value);
BN_nnmod(r.value, r.value, q.value, ctx.value);
BN_mod_inverse(k.value, k.value, q.value, ctx.value);
OSSL_BN s;
BN_mul(s.value, x.value, r.value, ctx.value);
BN_add(s.value, s.value, i.value);
BN_mod_mul(s.value, s.value, k.value, q.value, ctx.value);
if(BN_is_zero(r.value) || BN_is_zero(s.value))
throw Internal_Error("OpenSSL_DSA_Op::sign: r or s was zero");
const u32bit q_bytes = q.bytes();
SecureVector<byte> output(2*q_bytes);
r.encode(output, q_bytes);
s.encode(output + q_bytes, q_bytes);
return output;
}
/*************************************************
* OpenSSL NR Operation *
*************************************************/
class OpenSSL_NR_Op : public NR_Operation
{
public:
SecureVector<byte> verify(const byte[], u32bit) const;
SecureVector<byte> sign(const byte[], u32bit, const BigInt&) const;
NR_Operation* clone() const { return new OpenSSL_NR_Op(*this); }
OpenSSL_NR_Op(const DL_Group& group, const BigInt& y1,
const BigInt& x1) :
x(x1), y(y1), p(group.get_p()), q(group.get_q()), g(group.get_g()) {}
private:
const OSSL_BN x, y, p, q, g;
OSSL_BN_CTX ctx;
};
/*************************************************
* OpenSSL NR Verify Operation *
*************************************************/
SecureVector<byte> OpenSSL_NR_Op::verify(const byte sig[],
u32bit sig_len) const
{
const u32bit q_bytes = q.bytes();
if(sig_len != 2*q_bytes)
return false;
OSSL_BN c(sig, q_bytes);
OSSL_BN d(sig + q_bytes, q_bytes);
if(BN_is_zero(c.value) || BN_cmp(c.value, q.value) >= 0 ||
BN_cmp(d.value, q.value) >= 0)
throw Invalid_Argument("OpenSSL_NR_Op::verify: Invalid signature");
OSSL_BN i1, i2;
BN_mod_exp(i1.value, g.value, d.value, p.value, ctx.value);
BN_mod_exp(i2.value, y.value, c.value, p.value, ctx.value);
BN_mod_mul(i1.value, i1.value, i2.value, p.value, ctx.value);
BN_sub(i1.value, c.value, i1.value);
BN_nnmod(i1.value, i1.value, q.value, ctx.value);
return BigInt::encode(i1.to_bigint());
}
/*************************************************
* OpenSSL NR Sign Operation *
*************************************************/
SecureVector<byte> OpenSSL_NR_Op::sign(const byte in[], u32bit length,
const BigInt& k_bn) const
{
if(BN_is_zero(x.value))
throw Internal_Error("OpenSSL_NR_Op::sign: No private key");
OSSL_BN f(in, length);
OSSL_BN k(k_bn);
if(BN_cmp(f.value, q.value) >= 0)
throw Invalid_Argument("OpenSSL_NR_Op::sign: Input is out of range");
OSSL_BN c, d;
BN_mod_exp(c.value, g.value, k.value, p.value, ctx.value);
BN_add(c.value, c.value, f.value);
BN_nnmod(c.value, c.value, q.value, ctx.value);
BN_mul(d.value, x.value, c.value, ctx.value);
BN_sub(d.value, k.value, d.value);
BN_nnmod(d.value, d.value, q.value, ctx.value);
if(BN_is_zero(c.value))
throw Internal_Error("Default_NR_Op::sign: c was zero");
const u32bit q_bytes = q.bytes();
SecureVector<byte> output(2*q_bytes);
c.encode(output, q_bytes);
d.encode(output + q_bytes, q_bytes);
return output;
}
/*************************************************
* OpenSSL ElGamal Operation *
*************************************************/
class OpenSSL_ELG_Op : public ELG_Operation
{
public:
SecureVector<byte> encrypt(const byte[], u32bit, const BigInt&) const;
BigInt decrypt(const BigInt&, const BigInt&) const;
ELG_Operation* clone() const { return new OpenSSL_ELG_Op(*this); }
OpenSSL_ELG_Op(const DL_Group& group, const BigInt& y1,
const BigInt& x1) :
x(x1), y(y1), g(group.get_g()), p(group.get_p()) {}
private:
OSSL_BN x, y, g, p;
OSSL_BN_CTX ctx;
};
/*************************************************
* OpenSSL ElGamal Encrypt Operation *
*************************************************/
SecureVector<byte> OpenSSL_ELG_Op::encrypt(const byte in[], u32bit length,
const BigInt& k_bn) const
{
OSSL_BN i(in, length);
if(BN_cmp(i.value, p.value) >= 0)
throw Invalid_Argument("OpenSSL_ELG_Op: Input is too large");
OSSL_BN a, b, k(k_bn);
BN_mod_exp(a.value, g.value, k.value, p.value, ctx.value);
BN_mod_exp(b.value, y.value, k.value, p.value, ctx.value);
BN_mod_mul(b.value, b.value, i.value, p.value, ctx.value);
const u32bit p_bytes = p.bytes();
SecureVector<byte> output(2*p_bytes);
a.encode(output, p_bytes);
b.encode(output + p_bytes, p_bytes);
return output;
}
/*************************************************
* OpenSSL ElGamal Decrypt Operation *
*************************************************/
BigInt OpenSSL_ELG_Op::decrypt(const BigInt& a_bn, const BigInt& b_bn) const
{
if(BN_is_zero(x.value))
throw Internal_Error("OpenSSL_ELG_Op::decrypt: No private key");
OSSL_BN a(a_bn), b(b_bn), t;
if(BN_cmp(a.value, p.value) >= 0 || BN_cmp(b.value, p.value) >= 0)
throw Invalid_Argument("OpenSSL_ELG_Op: Invalid message");
BN_mod_exp(t.value, a.value, x.value, p.value, ctx.value);
BN_mod_inverse(a.value, t.value, p.value, ctx.value);
BN_mod_mul(a.value, a.value, b.value, p.value, ctx.value);
return a.to_bigint();
}
/*************************************************
* OpenSSL DH Operation *
*************************************************/
class OpenSSL_DH_Op : public DH_Operation
{
public:
BigInt agree(const BigInt& i) const;
DH_Operation* clone() const { return new OpenSSL_DH_Op(*this); }
OpenSSL_DH_Op(const DL_Group& group, const BigInt& x_bn) :
x(x_bn), p(group.get_p()) {}
private:
OSSL_BN x, p;
OSSL_BN_CTX ctx;
};
/*************************************************
* OpenSSL DH Key Agreement Operation *
*************************************************/
BigInt OpenSSL_DH_Op::agree(const BigInt& i_bn) const
{
OSSL_BN i(i_bn), r;
BN_mod_exp(r.value, i.value, x.value, p.value, ctx.value);
return r.to_bigint();
}
}
/*************************************************
* Acquire an IF op *
*************************************************/
IF_Operation* OpenSSL_Engine::if_op(const BigInt& e, const BigInt& n,
const BigInt& d, const BigInt& p,
const BigInt& q, const BigInt& d1,
const BigInt& d2, const BigInt& c) const
{
return new OpenSSL_IF_Op(e, n, d, p, q, d1, d2, c);
}
/*************************************************
* Acquire a DSA op *
*************************************************/
DSA_Operation* OpenSSL_Engine::dsa_op(const DL_Group& group, const BigInt& y,
const BigInt& x) const
{
return new OpenSSL_DSA_Op(group, y, x);
}
/*************************************************
* Acquire a NR op *
*************************************************/
NR_Operation* OpenSSL_Engine::nr_op(const DL_Group& group, const BigInt& y,
const BigInt& x) const
{
return new OpenSSL_NR_Op(group, y, x);
}
/*************************************************
* Acquire an ElGamal op *
*************************************************/
ELG_Operation* OpenSSL_Engine::elg_op(const DL_Group& group, const BigInt& y,
const BigInt& x) const
{
return new OpenSSL_ELG_Op(group, y, x);
}
/*************************************************
* Acquire a DH op *
*************************************************/
DH_Operation* OpenSSL_Engine::dh_op(const DL_Group& group,
const BigInt& x) const
{
return new OpenSSL_DH_Op(group, x);
}
}
|