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1 /*############################################################################
2 # Copyright 2016-2017 Intel Corporation
3 #
4 # Licensed under the Apache License, Version 2.0 (the "License");
5 # you may not use this file except in compliance with the License.
6 # You may obtain a copy of the License at
7 #
8 #     http://www.apache.org/licenses/LICENSE-2.0
9 #
10 # Unless required by applicable law or agreed to in writing, software
11 # distributed under the License is distributed on an "AS IS" BASIS,
12 # WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
13 # See the License for the specific language governing permissions and
14 # limitations under the License.
15 ############################################################################*/
16 
17 /*!
18 * \file
19 * \brief Epid11Verify implementation.
20 */
21 
22 #include <string.h>
23 #include "epid/common/src/endian_convert.h"
24 #include "epid/verifier/1.1/api.h"
25 #include "epid/verifier/1.1/src/context.h"
26 
Epid11GetSignatureRlCount(Epid11Signature const * sig)27 static size_t Epid11GetSignatureRlCount(Epid11Signature const* sig) {
28   return (!sig) ? 0 : ntohl(sig->n2);
29 }
30 
Epid11GetGroupRlCount(Epid11GroupRl const * rl)31 static size_t Epid11GetGroupRlCount(Epid11GroupRl const* rl) {
32   return (!rl) ? 0 : ntohl(rl->n3);
33 }
34 
Epid11GetSigRlCount(Epid11SigRl const * rl)35 static size_t Epid11GetSigRlCount(Epid11SigRl const* rl) {
36   return (!rl) ? 0 : ntohl(rl->n2);
37 }
38 
Epid11GetPrivRlCount(Epid11PrivRl const * rl)39 static size_t Epid11GetPrivRlCount(Epid11PrivRl const* rl) {
40   return (!rl) ? 0 : ntohl(rl->n1);
41 }
42 
43 /// Check PrivRL status of a signature for one PrivRl entry
44 /*!
45 computes t5 =G3.exp(B, f[i]) and verifies that G3.isEqual(t5, K) = false.
46 
47  \param[in] ctx
48  The verifier context.
49  \param[in] sig
50  The basic signature.
51  \param[in] f_str
52  priv_rl entry to check.
53 
54  \returns ::EpidStatus
55 
56  \retval ::kEpidNoErr
57  Signature was not revoked
58  \retval ::kEpidSigRevokedInPrivRl
59  Signature revoked in PrivRl
60 */
Epid11PrVerify(Epid11VerifierCtx const * ctx,Epid11BasicSignature const * sig,BigNumStr * f_str)61 EpidStatus Epid11PrVerify(Epid11VerifierCtx const* ctx,
62                           Epid11BasicSignature const* sig, BigNumStr* f_str) {
63   EpidStatus sts = kEpidErr;
64   EcPoint* B = NULL;
65   EcPoint* K = NULL;
66   EcPoint* t5 = NULL;
67   FfElement* f = NULL;
68   EcGroup* G3 = ctx->epid11_params->G3;
69   FiniteField* Fp = ctx->epid11_params->Fp;
70   bool eq = false;
71   do {
72     sts = NewFfElement(Fp, &f);
73     if (kEpidNoErr != sts) {
74       sts = kEpidMathErr;
75       break;
76     }
77     sts = NewEcPoint(G3, &B);
78     if (kEpidNoErr != sts) {
79       sts = kEpidMathErr;
80       break;
81     }
82     sts = NewEcPoint(G3, &K);
83     if (kEpidNoErr != sts) {
84       sts = kEpidMathErr;
85       break;
86     }
87     sts = NewEcPoint(G3, &t5);
88     if (kEpidNoErr != sts) {
89       sts = kEpidMathErr;
90       break;
91     }
92     // ReadFfElement checks that the value f_str is in the field
93     sts = ReadFfElement(Fp, f_str, sizeof(BigNumStr), f);
94     if (kEpidNoErr != sts) {
95       sts = kEpidMathErr;
96       break;
97     }
98     sts = ReadEcPoint(G3, &sig->B, sizeof(sig->B), B);
99     if (kEpidNoErr != sts) {
100       sts = kEpidMathErr;
101       break;
102     }
103     sts = ReadEcPoint(G3, &sig->K, sizeof(sig->K), K);
104     if (kEpidNoErr != sts) {
105       sts = kEpidMathErr;
106       break;
107     }
108     sts = EcExp(G3, B, f_str, t5);
109     if (kEpidNoErr != sts) {
110       sts = kEpidMathErr;
111       break;
112     }
113     sts = EcIsEqual(G3, t5, K, &eq);
114     if (kEpidNoErr != sts) {
115       sts = kEpidMathErr;
116       break;
117     }
118     if (eq) {
119       sts = kEpidSigRevokedInPrivRl;
120     } else {
121       sts = kEpidNoErr;
122     }
123   } while (0);
124   DeleteFfElement(&f);
125   DeleteEcPoint(&t5);
126   DeleteEcPoint(&K);
127   DeleteEcPoint(&B);
128   return sts;
129 }
130 
Epid11Verify(Epid11VerifierCtx const * ctx,Epid11Signature const * sig,size_t sig_len,void const * msg,size_t msg_len)131 EpidStatus Epid11Verify(Epid11VerifierCtx const* ctx,
132                         Epid11Signature const* sig, size_t sig_len,
133                         void const* msg, size_t msg_len) {
134   // Step 1. Setup
135   size_t const sig_header_len =
136       (sizeof(Epid11Signature) - sizeof(Epid11NrProof));
137   EpidStatus sts = kEpidErr;
138   size_t rl_count = 0;
139   size_t i;
140   if (!sig || !ctx || !ctx->epid11_params || !ctx->pub_key) {
141     return kEpidBadArgErr;
142   }
143   if (!msg && (0 != msg_len)) {
144     // if message is non-empty it must have both length and content
145     return kEpidBadArgErr;
146   }
147   if (sig_len < sig_header_len) {
148     return kEpidBadArgErr;
149   }
150   rl_count = Epid11GetSignatureRlCount(sig);
151   if (rl_count > (SIZE_MAX - sig_header_len) / sizeof(sig->sigma[0]) ||
152       (rl_count * sizeof(sig->sigma[0])) + sig_header_len != sig_len) {
153     return kEpidBadArgErr;
154   }
155   // Check if signature has NrPoofs but SigRl is not set
156   if (0 < rl_count && !ctx->sig_rl) {
157     return kEpidBadArgErr;
158   }
159 
160   // Step 3. The verifier verifies gid in the public key, PRIV-RL, and
161   // SIG-RL (if provided) and the verifier pre-computation blob all match.
162   if (ctx->priv_rl) {
163     if (0 != memcmp(&ctx->pub_key->gid, &ctx->priv_rl->gid,
164                     sizeof(ctx->pub_key->gid))) {
165       return kEpidBadArgErr;
166     }
167   }
168 
169   if (ctx->sig_rl) {
170     if (0 != memcmp(&ctx->pub_key->gid, &ctx->sig_rl->gid,
171                     sizeof(ctx->pub_key->gid))) {
172       return kEpidBadArgErr;
173     }
174   }
175   // Verification of gid value in precomputation blob
176   // and public key is done in ReadPrecomp
177 
178   // Step 4. The verifier verifies the signatures of PRIV-RL,
179   // SIG-RL (if provided), and Group-RL (if provided) using IVK.
180   // Data is already verified.
181 
182   // Step 5. If GroupRL is provided as input,...
183   if (ctx->group_rl) {
184     // ...the verifier verifies that gid has not been revoked, i.e.,
185     // gid does not match any entry in Group-RL.
186     size_t grouprl_count = Epid11GetGroupRlCount(ctx->group_rl);
187     for (i = 0; i < grouprl_count; ++i) {
188       if (0 == memcmp(&ctx->pub_key->gid, &ctx->group_rl->gid[i],
189                       sizeof(ctx->pub_key->gid))) {
190         return kEpidSigRevokedInGroupRl;
191       }
192     }
193   }
194 
195   // Step 6. If SIG-RL is provided as input,...
196   if (ctx->sig_rl) {
197     size_t sigrl_count = Epid11GetSigRlCount(ctx->sig_rl);
198 
199     // ...the verifier verifies that RLver and n2
200     // values in s match with the values in SIG-RL....
201     if (0 != memcmp(&ctx->sig_rl->version, &sig->rl_ver,
202                     sizeof(ctx->sig_rl->version))) {
203       return kEpidErr;
204     }
205 
206     if (sigrl_count != rl_count) {
207       return kEpidBadArgErr;
208     }
209   }
210 
211   // Step 7-30. The verifier verifies the basic signature.
212   sts = Epid11VerifyBasicSig(ctx, &sig->sigma0, msg, msg_len);
213   if (sts != kEpidNoErr) {
214     return kEpidSigInvalid;
215   }
216 
217   // Step 31. For i = 0, ..., n1-1, the verifier computes t5 =G3.exp(B, f[i])
218   // and verifies that G3.isEqual(t5, K) = false.
219   if (ctx->priv_rl) {
220     size_t privrl_count = Epid11GetPrivRlCount(ctx->priv_rl);
221     for (i = 0; i < privrl_count; ++i) {
222       sts = Epid11PrVerify(ctx, &sig->sigma0, (BigNumStr*)&ctx->priv_rl->f[i]);
223       if (sts != kEpidNoErr) {
224         return kEpidSigRevokedInPrivRl;
225       }
226     }
227   }
228 
229   // Step 32. For i = 0, ..., n2-1, the verifier verifies nrVerify(B, K, B[i],
230   // K[i], Sigma[i]) = true. The details of nrVerify() will be given in the
231   // next subsection.
232   if (ctx->sig_rl) {
233     size_t sigrl_count = Epid11GetSigRlCount(ctx->sig_rl);
234 
235     for (i = 0; i < sigrl_count; ++i) {
236       sts = Epid11NrVerify(ctx, &sig->sigma0, msg, msg_len, &ctx->sig_rl->bk[i],
237                            &sig->sigma[i]);
238       if (sts != kEpidNoErr) {
239         return kEpidSigRevokedInSigRl;
240       }
241     }
242   }
243 
244   // Step 33. If all the above verifications succeed, the verifier outputs true.
245   return kEpidSigValid;
246 }
247