/*############################################################################ # Copyright 2016 Intel Corporation # # Licensed under the Apache License, Version 2.0 (the "License"); # you may not use this file except in compliance with the License. # You may obtain a copy of the License at # # http://www.apache.org/licenses/LICENSE-2.0 # # Unless required by applicable law or agreed to in writing, software # distributed under the License is distributed on an "AS IS" BASIS, # WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. # See the License for the specific language governing permissions and # limitations under the License. ############################################################################*/ /*! * \file * \brief NrVerfy implementation. */ #include "epid/common/src/memory.h" #include "epid/verifier/api.h" #include "epid/verifier/src/context.h" /// Handle SDK Error with Break #define BREAK_ON_EPID_ERROR(ret) \ if (kEpidNoErr != (ret)) { \ break; \ } #pragma pack(1) /// Storage for values to create commitment in NrVerify algorithm typedef struct NrVerifyCommitValues { BigNumStr p; //!< A large prime (256-bit) G1ElemStr g1; //!< Generator of G1 (512-bit) G1ElemStr b; //!< (element of G1): part of basic signature Sigma0 G1ElemStr k; //!< (element of G1): part of basic signature Sigma0 G1ElemStr bp; //!< (element of G1): one entry in SigRL G1ElemStr kp; //!< (element of G1): one entry in SigRL G1ElemStr t; //!< element of G1 G1ElemStr r1; //!< element of G1 G1ElemStr r2; //!< element of G1 uint8_t msg[1]; //!< message } NrVerifyCommitValues; #pragma pack() EpidStatus EpidNrVerify(VerifierCtx const* ctx, BasicSignature const* sig, void const* msg, size_t msg_len, SigRlEntry const* sigrl_entry, NrProof const* proof) { size_t const cv_header_len = sizeof(NrVerifyCommitValues) - sizeof(uint8_t); EpidStatus sts = kEpidErr; NrVerifyCommitValues* commit_values = NULL; size_t const commit_len = sizeof(*commit_values) + msg_len - 1; EcPoint* t_pt = NULL; EcPoint* k_pt = NULL; EcPoint* b_pt = NULL; EcPoint* kp_pt = NULL; EcPoint* bp_pt = NULL; EcPoint* r1_pt = NULL; EcPoint* r2_pt = NULL; FfElement* c_el = NULL; FfElement* nc_el = NULL; FfElement* smu_el = NULL; FfElement* snu_el = NULL; FfElement* commit_hash = NULL; if (!ctx || !sig || !proof || !sigrl_entry) { return kEpidBadArgErr; } if (!msg && (0 != msg_len)) { return kEpidBadArgErr; } if (msg_len > (SIZE_MAX - cv_header_len)) { return kEpidBadArgErr; } if (!ctx->epid2_params || !ctx->epid2_params->G1 || !ctx->epid2_params->Fp) { return kEpidBadArgErr; } do { EcGroup* G1 = ctx->epid2_params->G1; FiniteField* Fp = ctx->epid2_params->Fp; G1ElemStr const* b = &sig->B; G1ElemStr const* k = &sig->K; G1ElemStr const* bp = &sigrl_entry->b; G1ElemStr const* kp = &sigrl_entry->k; EcPoint const* r1p[2]; FpElemStr const* r1b[2]; EcPoint const* r2p[3]; FpElemStr const* r2b[3]; FpElemStr nc_str; bool t_is_identity; bool c_is_equal; commit_values = SAFE_ALLOC(commit_len); if (commit_values == NULL) { sts = kEpidMemAllocErr; break; } // allocate local memory sts = NewEcPoint(G1, &t_pt); BREAK_ON_EPID_ERROR(sts); sts = NewEcPoint(G1, &k_pt); BREAK_ON_EPID_ERROR(sts); sts = NewEcPoint(G1, &b_pt); BREAK_ON_EPID_ERROR(sts); sts = NewEcPoint(G1, &kp_pt); BREAK_ON_EPID_ERROR(sts); sts = NewEcPoint(G1, &bp_pt); BREAK_ON_EPID_ERROR(sts); sts = NewEcPoint(G1, &r1_pt); BREAK_ON_EPID_ERROR(sts); sts = NewEcPoint(G1, &r2_pt); BREAK_ON_EPID_ERROR(sts); sts = NewFfElement(Fp, &c_el); BREAK_ON_EPID_ERROR(sts); sts = NewFfElement(Fp, &nc_el); BREAK_ON_EPID_ERROR(sts); sts = NewFfElement(Fp, &smu_el); BREAK_ON_EPID_ERROR(sts); sts = NewFfElement(Fp, &snu_el); BREAK_ON_EPID_ERROR(sts); sts = NewFfElement(Fp, &commit_hash); BREAK_ON_EPID_ERROR(sts); // 1. The verifier verifies that G1.inGroup(T) = true. sts = ReadEcPoint(G1, &proof->T, sizeof(proof->T), t_pt); if (kEpidNoErr != sts) { sts = kEpidBadArgErr; break; } // 2. The verifier verifies that G1.isIdentity(T) = false. sts = EcIsIdentity(G1, t_pt, &t_is_identity); BREAK_ON_EPID_ERROR(sts); if (t_is_identity) { sts = kEpidBadArgErr; break; } // 3. The verifier verifies that c, smu, snu in [0, p-1]. sts = ReadFfElement(Fp, &proof->c, sizeof(proof->c), c_el); BREAK_ON_EPID_ERROR(sts); sts = ReadFfElement(Fp, &proof->smu, sizeof(proof->smu), smu_el); BREAK_ON_EPID_ERROR(sts); sts = ReadFfElement(Fp, &proof->snu, sizeof(proof->snu), snu_el); BREAK_ON_EPID_ERROR(sts); // 4. The verifier computes nc = (- c) mod p. sts = FfNeg(Fp, c_el, nc_el); BREAK_ON_EPID_ERROR(sts); sts = WriteFfElement(Fp, nc_el, &nc_str, sizeof(nc_str)); BREAK_ON_EPID_ERROR(sts); // 5. The verifier computes R1 = G1.multiExp(K, smu, B, snu). sts = ReadEcPoint(G1, k, sizeof(*k), k_pt); if (kEpidNoErr != sts) { sts = kEpidBadArgErr; break; } sts = ReadEcPoint(G1, b, sizeof(*b), b_pt); if (kEpidNoErr != sts) { sts = kEpidBadArgErr; break; } r1p[0] = k_pt; r1p[1] = b_pt; r1b[0] = &proof->smu; r1b[1] = &proof->snu; sts = EcMultiExp(G1, r1p, (const BigNumStr**)r1b, 2, r1_pt); BREAK_ON_EPID_ERROR(sts); // 6. The verifier computes R2 = G1.multiExp(K', smu, B', snu, T, nc). sts = ReadEcPoint(G1, kp, sizeof(*kp), kp_pt); if (kEpidNoErr != sts) { sts = kEpidBadArgErr; break; } sts = ReadEcPoint(G1, bp, sizeof(*bp), bp_pt); if (kEpidNoErr != sts) { sts = kEpidBadArgErr; break; } r2p[0] = kp_pt; r2p[1] = bp_pt; r2p[2] = t_pt; r2b[0] = &proof->smu; r2b[1] = &proof->snu; r2b[2] = &nc_str; sts = EcMultiExp(G1, r2p, (const BigNumStr**)r2b, 3, r2_pt); BREAK_ON_EPID_ERROR(sts); // 7. The verifier verifies c = Fp.hash(p || g1 || B || K || // B' || K' || T || R1 || R2 || m). // Refer to Section 7.1 for hash operation over a prime field. // commit_values is allocated such that there are msg_len bytes available // starting at commit_values->msg if (msg) { // Memory copy is used to copy a message of variable length if (0 != memcpy_S(&commit_values->msg[0], msg_len, msg, msg_len)) { sts = kEpidBadArgErr; break; } } commit_values->p = ctx->commit_values.p; commit_values->g1 = ctx->commit_values.g1; commit_values->b = sig->B; commit_values->k = sig->K; commit_values->bp = sigrl_entry->b; commit_values->kp = sigrl_entry->k; commit_values->t = proof->T; sts = WriteEcPoint(G1, r1_pt, &commit_values->r1, sizeof(commit_values->r1)); BREAK_ON_EPID_ERROR(sts); sts = WriteEcPoint(G1, r2_pt, &commit_values->r2, sizeof(commit_values->r2)); BREAK_ON_EPID_ERROR(sts); sts = FfHash(Fp, commit_values, commit_len, ctx->hash_alg, commit_hash); BREAK_ON_EPID_ERROR(sts); sts = FfIsEqual(Fp, c_el, commit_hash, &c_is_equal); BREAK_ON_EPID_ERROR(sts); if (!c_is_equal) { sts = kEpidBadArgErr; break; } sts = kEpidNoErr; } while (0); SAFE_FREE(commit_values); DeleteFfElement(&commit_hash); DeleteFfElement(&snu_el); DeleteFfElement(&smu_el); DeleteFfElement(&nc_el); DeleteFfElement(&c_el); DeleteEcPoint(&r2_pt); DeleteEcPoint(&r1_pt); DeleteEcPoint(&bp_pt); DeleteEcPoint(&kp_pt); DeleteEcPoint(&b_pt); DeleteEcPoint(&k_pt); DeleteEcPoint(&t_pt); return sts; }