/*############################################################################ # Copyright 2016-2017 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. ############################################################################*/ /// EpidNrProve implementation. /*! \file */ #include "epid/member/src/nrprove.h" #include <stddef.h> #include <stdint.h> #include "epid/common/src/endian_convert.h" #include "epid/common/src/epid2params.h" #include "epid/common/src/hashsize.h" #include "epid/common/src/memory.h" #include "epid/common/stdtypes.h" #include "epid/common/types.h" #include "epid/member/src/context.h" #include "epid/member/src/nrprove_commitment.h" #include "epid/member/src/privateexp.h" #include "epid/member/tpm2/commit.h" #include "epid/member/tpm2/sign.h" /// Handle SDK Error with Break #define BREAK_ON_EPID_ERROR(ret) \ if (kEpidNoErr != (ret)) { \ break; \ } /// Count of elements in array #define COUNT_OF(A) (sizeof(A) / sizeof((A)[0])) static bool IsIdentity(G1ElemStr const* elem_str) { unsigned char* bytes = (unsigned char*)elem_str; if (!bytes) { return false; } else { size_t i = 0; for (i = 0; i < sizeof(*elem_str); i++) { if (0 != bytes[i]) return false; } } return true; } EpidStatus EpidNrProve(MemberCtx const* ctx, void const* msg, size_t msg_len, void const* basename, size_t basename_len, BasicSignature const* sig, SigRlEntry const* sigrl_entry, NrProof* proof) { EpidStatus sts = kEpidErr; EcPoint* B = NULL; EcPoint* K = NULL; EcPoint* rlB = NULL; EcPoint* rlK = NULL; EcPoint* t = NULL; // temp value in G1 either T, R1, R2 EcPoint* k_tpm = NULL; EcPoint* l_tpm = NULL; EcPoint* e_tpm = NULL; EcPoint* D = NULL; FfElement* y2 = NULL; uint8_t* s2 = NULL; FfElement* mu = NULL; FfElement* nu = NULL; FfElement* rmu = NULL; FfElement* t2 = NULL; // temporary for multiplication FfElement* c = NULL; uint8_t* digest = NULL; BigNumStr mu_str = {0}; BigNumStr nu_str = {0}; BigNumStr rmu_str = {0}; if (!ctx || (0 != msg_len && !msg) || !sig || !sigrl_entry || !proof) return kEpidBadArgErr; if (!basename || 0 == basename_len) { // basename should not be empty return kEpidBadArgErr; } if (!ctx->epid2_params) return kEpidBadArgErr; do { NrProveCommitOutput commit_out = {0}; FiniteField* Fp = ctx->epid2_params->Fp; FiniteField* Fq = ctx->epid2_params->Fq; EcGroup* G1 = ctx->epid2_params->G1; BitSupplier rnd_func = ctx->rnd_func; void* rnd_param = ctx->rnd_param; uint32_t i = 0; G1ElemStr B_str = {0}; const BigNumStr kOne = {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}; FpElemStr c_str = {0}; uint16_t rnu_ctr = 0; ///< TPM counter pointing to Nr Proof related random value size_t digest_len = EpidGetHashSize(ctx->hash_alg); sts = NewEcPoint(G1, &B); BREAK_ON_EPID_ERROR(sts); sts = NewEcPoint(G1, &K); BREAK_ON_EPID_ERROR(sts); sts = NewEcPoint(G1, &rlB); BREAK_ON_EPID_ERROR(sts); sts = NewEcPoint(G1, &rlK); BREAK_ON_EPID_ERROR(sts); sts = NewEcPoint(G1, &D); BREAK_ON_EPID_ERROR(sts); sts = NewEcPoint(G1, &t); BREAK_ON_EPID_ERROR(sts); sts = NewFfElement(Fp, &y2); BREAK_ON_EPID_ERROR(sts); sts = NewEcPoint(G1, &k_tpm); BREAK_ON_EPID_ERROR(sts); sts = NewEcPoint(G1, &l_tpm); BREAK_ON_EPID_ERROR(sts); sts = NewEcPoint(G1, &e_tpm); BREAK_ON_EPID_ERROR(sts); sts = NewFfElement(Fp, &mu); BREAK_ON_EPID_ERROR(sts); sts = NewFfElement(Fp, &nu); BREAK_ON_EPID_ERROR(sts); sts = NewFfElement(Fp, &rmu); BREAK_ON_EPID_ERROR(sts); s2 = SAFE_ALLOC(basename_len + sizeof(i)); if (!s2) { sts = kEpidMemAllocErr; break; } sts = ReadEcPoint(G1, &sig->K, sizeof(sig->K), K); BREAK_ON_EPID_ERROR(sts); sts = ReadEcPoint(G1, &(sigrl_entry->b), sizeof(sigrl_entry->b), rlB); BREAK_ON_EPID_ERROR(sts); sts = ReadEcPoint(G1, &(sigrl_entry->k), sizeof(sigrl_entry->k), rlK); BREAK_ON_EPID_ERROR(sts); // 1. The member chooses random mu from [1, p-1]. sts = FfGetRandom(Fp, &kOne, rnd_func, rnd_param, mu); BREAK_ON_EPID_ERROR(sts); // 2. The member computes nu = -mu mod p. sts = FfNeg(Fp, mu, nu); BREAK_ON_EPID_ERROR(sts); // 3.1. The member computes D = G1.privateExp(B', f) sts = EpidPrivateExp((MemberCtx*)ctx, rlB, D); BREAK_ON_EPID_ERROR(sts); // 3.2.The member computes T = G1.sscmMultiExp(K', mu, D, nu). sts = WriteFfElement(Fp, mu, &mu_str, sizeof(mu_str)); BREAK_ON_EPID_ERROR(sts); sts = WriteFfElement(Fp, nu, &nu_str, sizeof(nu_str)); BREAK_ON_EPID_ERROR(sts); { EcPoint const* points[2]; BigNumStr const* exponents[2]; points[0] = rlK; points[1] = D; exponents[0] = &mu_str; exponents[1] = &nu_str; sts = EcSscmMultiExp(G1, points, exponents, COUNT_OF(points), t); BREAK_ON_EPID_ERROR(sts); sts = WriteEcPoint(G1, t, &commit_out.T, sizeof(commit_out.T)); BREAK_ON_EPID_ERROR(sts); } // 4.1. The member chooses rmu randomly from[1, p - 1]. sts = FfGetRandom(Fp, &kOne, rnd_func, rnd_param, rmu); BREAK_ON_EPID_ERROR(sts); // 4.2. (KTPM, LTPM, ETPM, counterTPM) = TPM2_Commit(P1 = B', P2 = B) sts = EcHash(G1, basename, basename_len, ctx->hash_alg, B, &i); BREAK_ON_EPID_ERROR(sts); *(uint32_t*)s2 = ntohl(i); sts = WriteEcPoint(G1, B, &B_str, sizeof(B_str)); BREAK_ON_EPID_ERROR(sts); sts = ReadFfElement(Fq, &B_str.y, sizeof(B_str.y), y2); BREAK_ON_EPID_ERROR(sts); if (0 != memcpy_S(s2 + sizeof(i), basename_len, basename, basename_len)) { sts = kEpidErr; break; } sts = Tpm2Commit(ctx->tpm2_ctx, rlB, s2, basename_len + sizeof(i), y2, k_tpm, l_tpm, e_tpm, &rnu_ctr); BREAK_ON_EPID_ERROR(sts); // 5.1. The member computes R1 = G1.sscmExp(K, rmu). sts = WriteFfElement(Fp, rmu, &rmu_str, sizeof(rmu_str)); BREAK_ON_EPID_ERROR(sts); sts = EcSscmExp(G1, K, &rmu_str, t); BREAK_ON_EPID_ERROR(sts); // 5.2. The member computes R1 = G1.mul(R1, LTPM). sts = EcMul(G1, t, l_tpm, t); BREAK_ON_EPID_ERROR(sts); sts = WriteEcPoint(G1, t, &commit_out.R1, sizeof(commit_out.R1)); BREAK_ON_EPID_ERROR(sts); // 6.1. The member computes R2 = G1.sscmExp(K', rmu). sts = EcSscmExp(G1, rlK, &rmu_str, t); BREAK_ON_EPID_ERROR(sts); // 6.2. The member computes R2 = G1.mul(R2, ETPM). sts = EcMul(G1, t, e_tpm, t); BREAK_ON_EPID_ERROR(sts); sts = WriteEcPoint(G1, t, &commit_out.R2, sizeof(commit_out.R2)); BREAK_ON_EPID_ERROR(sts); sts = HashNrProveCommitment(Fp, ctx->hash_alg, &sig->B, &sig->K, sigrl_entry, &commit_out, msg, msg_len, &c_str); BREAK_ON_EPID_ERROR(sts); digest = SAFE_ALLOC(digest_len); if (!digest) { sts = kEpidMemAllocErr; break; } sts = NewFfElement(Fp, &t2); BREAK_ON_EPID_ERROR(sts); sts = NewFfElement(Fp, &c); BREAK_ON_EPID_ERROR(sts); sts = ReadFfElement(Fp, &c_str, sizeof(c_str), c); BREAK_ON_EPID_ERROR(sts); // 8. The member computes smu = (rmu + c * mu) mod p. sts = FfMul(Fp, c, mu, t2); BREAK_ON_EPID_ERROR(sts); sts = FfAdd(Fp, rmu, t2, t2); BREAK_ON_EPID_ERROR(sts); sts = WriteFfElement(Fp, t2, &proof->smu, sizeof(proof->smu)); BREAK_ON_EPID_ERROR(sts); // 9.1. The member computes c' = (c * nu) mod p sts = FfMul(Fp, c, nu, t2); BREAK_ON_EPID_ERROR(sts); // 9.2. snu = TPM2_Sign(c = c', counterTPM) sts = WriteFfElement(Fp, t2, digest, digest_len); BREAK_ON_EPID_ERROR(sts); sts = Tpm2Sign(ctx->tpm2_ctx, digest, digest_len, rnu_ctr, NULL, t2); BREAK_ON_EPID_ERROR(sts); sts = WriteFfElement(Fp, t2, &proof->snu, sizeof(proof->snu)); BREAK_ON_EPID_ERROR(sts); // 10. The member outputs sigma = (T, c, smu, snu), a non-revoked // proof. If G1.is_identity(T) = true, the member also outputs // "failed". proof->T = commit_out.T; proof->c = c_str; if (IsIdentity(&proof->T)) { sts = kEpidSigRevokedInSigRl; BREAK_ON_EPID_ERROR(sts); } sts = kEpidNoErr; } while (0); SAFE_FREE(s2); EpidZeroMemory(&mu_str, sizeof(mu_str)); EpidZeroMemory(&nu_str, sizeof(nu_str)); EpidZeroMemory(&rmu_str, sizeof(rmu_str)); DeleteFfElement(&y2); DeleteEcPoint(&B); DeleteEcPoint(&K); DeleteEcPoint(&rlB); DeleteEcPoint(&rlK); DeleteEcPoint(&D); DeleteEcPoint(&t); DeleteEcPoint(&e_tpm); DeleteEcPoint(&l_tpm); DeleteEcPoint(&k_tpm); DeleteFfElement(&mu); DeleteFfElement(&nu); DeleteFfElement(&rmu); DeleteFfElement(&t2); DeleteFfElement(&c); SAFE_FREE(digest); return sts; }