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Diffstat (limited to 'xmss_fast.c')
-rw-r--r-- | xmss_fast.c | 1106 |
1 files changed, 0 insertions, 1106 deletions
diff --git a/xmss_fast.c b/xmss_fast.c deleted file mode 100644 index 421b39a37a9e..000000000000 --- a/xmss_fast.c +++ /dev/null @@ -1,1106 +0,0 @@ -/* $OpenBSD: xmss_fast.c,v 1.3 2018/03/22 07:06:11 markus Exp $ */ -/* -xmss_fast.c version 20160722 -Andreas Hülsing -Joost Rijneveld -Public domain. -*/ - -#include "includes.h" -#ifdef WITH_XMSS - -#include <stdlib.h> -#include <string.h> -#ifdef HAVE_STDINT_H -# include <stdint.h> -#endif - -#include "xmss_fast.h" -#include "crypto_api.h" -#include "xmss_wots.h" -#include "xmss_hash.h" - -#include "xmss_commons.h" -#include "xmss_hash_address.h" -// For testing -#include "stdio.h" - - - -/** - * Used for pseudorandom keygeneration, - * generates the seed for the WOTS keypair at address addr - * - * takes n byte sk_seed and returns n byte seed using 32 byte address addr. - */ -static void get_seed(unsigned char *seed, const unsigned char *sk_seed, int n, uint32_t addr[8]) -{ - unsigned char bytes[32]; - // Make sure that chain addr, hash addr, and key bit are 0! - setChainADRS(addr,0); - setHashADRS(addr,0); - setKeyAndMask(addr,0); - // Generate pseudorandom value - addr_to_byte(bytes, addr); - prf(seed, bytes, sk_seed, n); -} - -/** - * Initialize xmss params struct - * parameter names are the same as in the draft - * parameter k is K as used in the BDS algorithm - */ -int xmss_set_params(xmss_params *params, int n, int h, int w, int k) -{ - if (k >= h || k < 2 || (h - k) % 2) { - fprintf(stderr, "For BDS traversal, H - K must be even, with H > K >= 2!\n"); - return 1; - } - params->h = h; - params->n = n; - params->k = k; - wots_params wots_par; - wots_set_params(&wots_par, n, w); - params->wots_par = wots_par; - return 0; -} - -/** - * Initialize BDS state struct - * parameter names are the same as used in the description of the BDS traversal - */ -void xmss_set_bds_state(bds_state *state, unsigned char *stack, int stackoffset, unsigned char *stacklevels, unsigned char *auth, unsigned char *keep, treehash_inst *treehash, unsigned char *retain, int next_leaf) -{ - state->stack = stack; - state->stackoffset = stackoffset; - state->stacklevels = stacklevels; - state->auth = auth; - state->keep = keep; - state->treehash = treehash; - state->retain = retain; - state->next_leaf = next_leaf; -} - -/** - * Initialize xmssmt_params struct - * parameter names are the same as in the draft - * - * Especially h is the total tree height, i.e. the XMSS trees have height h/d - */ -int xmssmt_set_params(xmssmt_params *params, int n, int h, int d, int w, int k) -{ - if (h % d) { - fprintf(stderr, "d must divide h without remainder!\n"); - return 1; - } - params->h = h; - params->d = d; - params->n = n; - params->index_len = (h + 7) / 8; - xmss_params xmss_par; - if (xmss_set_params(&xmss_par, n, (h/d), w, k)) { - return 1; - } - params->xmss_par = xmss_par; - return 0; -} - -/** - * Computes a leaf from a WOTS public key using an L-tree. - */ -static void l_tree(unsigned char *leaf, unsigned char *wots_pk, const xmss_params *params, const unsigned char *pub_seed, uint32_t addr[8]) -{ - unsigned int l = params->wots_par.len; - unsigned int n = params->n; - uint32_t i = 0; - uint32_t height = 0; - uint32_t bound; - - //ADRS.setTreeHeight(0); - setTreeHeight(addr, height); - - while (l > 1) { - bound = l >> 1; //floor(l / 2); - for (i = 0; i < bound; i++) { - //ADRS.setTreeIndex(i); - setTreeIndex(addr, i); - //wots_pk[i] = RAND_HASH(pk[2i], pk[2i + 1], SEED, ADRS); - hash_h(wots_pk+i*n, wots_pk+i*2*n, pub_seed, addr, n); - } - //if ( l % 2 == 1 ) { - if (l & 1) { - //pk[floor(l / 2) + 1] = pk[l]; - memcpy(wots_pk+(l>>1)*n, wots_pk+(l-1)*n, n); - //l = ceil(l / 2); - l=(l>>1)+1; - } - else { - //l = ceil(l / 2); - l=(l>>1); - } - //ADRS.setTreeHeight(ADRS.getTreeHeight() + 1); - height++; - setTreeHeight(addr, height); - } - //return pk[0]; - memcpy(leaf, wots_pk, n); -} - -/** - * Computes the leaf at a given address. First generates the WOTS key pair, then computes leaf using l_tree. As this happens position independent, we only require that addr encodes the right ltree-address. - */ -static void gen_leaf_wots(unsigned char *leaf, const unsigned char *sk_seed, const xmss_params *params, const unsigned char *pub_seed, uint32_t ltree_addr[8], uint32_t ots_addr[8]) -{ - unsigned char seed[params->n]; - unsigned char pk[params->wots_par.keysize]; - - get_seed(seed, sk_seed, params->n, ots_addr); - wots_pkgen(pk, seed, &(params->wots_par), pub_seed, ots_addr); - - l_tree(leaf, pk, params, pub_seed, ltree_addr); -} - -static int treehash_minheight_on_stack(bds_state* state, const xmss_params *params, const treehash_inst *treehash) { - unsigned int r = params->h, i; - for (i = 0; i < treehash->stackusage; i++) { - if (state->stacklevels[state->stackoffset - i - 1] < r) { - r = state->stacklevels[state->stackoffset - i - 1]; - } - } - return r; -} - -/** - * Merkle's TreeHash algorithm. The address only needs to initialize the first 78 bits of addr. Everything else will be set by treehash. - * Currently only used for key generation. - * - */ -static void treehash_setup(unsigned char *node, int height, int index, bds_state *state, const unsigned char *sk_seed, const xmss_params *params, const unsigned char *pub_seed, const uint32_t addr[8]) -{ - unsigned int idx = index; - unsigned int n = params->n; - unsigned int h = params->h; - unsigned int k = params->k; - // use three different addresses because at this point we use all three formats in parallel - uint32_t ots_addr[8]; - uint32_t ltree_addr[8]; - uint32_t node_addr[8]; - // only copy layer and tree address parts - memcpy(ots_addr, addr, 12); - // type = ots - setType(ots_addr, 0); - memcpy(ltree_addr, addr, 12); - setType(ltree_addr, 1); - memcpy(node_addr, addr, 12); - setType(node_addr, 2); - - uint32_t lastnode, i; - unsigned char stack[(height+1)*n]; - unsigned int stacklevels[height+1]; - unsigned int stackoffset=0; - unsigned int nodeh; - - lastnode = idx+(1<<height); - - for (i = 0; i < h-k; i++) { - state->treehash[i].h = i; - state->treehash[i].completed = 1; - state->treehash[i].stackusage = 0; - } - - i = 0; - for (; idx < lastnode; idx++) { - setLtreeADRS(ltree_addr, idx); - setOTSADRS(ots_addr, idx); - gen_leaf_wots(stack+stackoffset*n, sk_seed, params, pub_seed, ltree_addr, ots_addr); - stacklevels[stackoffset] = 0; - stackoffset++; - if (h - k > 0 && i == 3) { - memcpy(state->treehash[0].node, stack+stackoffset*n, n); - } - while (stackoffset>1 && stacklevels[stackoffset-1] == stacklevels[stackoffset-2]) - { - nodeh = stacklevels[stackoffset-1]; - if (i >> nodeh == 1) { - memcpy(state->auth + nodeh*n, stack+(stackoffset-1)*n, n); - } - else { - if (nodeh < h - k && i >> nodeh == 3) { - memcpy(state->treehash[nodeh].node, stack+(stackoffset-1)*n, n); - } - else if (nodeh >= h - k) { - memcpy(state->retain + ((1 << (h - 1 - nodeh)) + nodeh - h + (((i >> nodeh) - 3) >> 1)) * n, stack+(stackoffset-1)*n, n); - } - } - setTreeHeight(node_addr, stacklevels[stackoffset-1]); - setTreeIndex(node_addr, (idx >> (stacklevels[stackoffset-1]+1))); - hash_h(stack+(stackoffset-2)*n, stack+(stackoffset-2)*n, pub_seed, - node_addr, n); - stacklevels[stackoffset-2]++; - stackoffset--; - } - i++; - } - - for (i = 0; i < n; i++) - node[i] = stack[i]; -} - -static void treehash_update(treehash_inst *treehash, bds_state *state, const unsigned char *sk_seed, const xmss_params *params, const unsigned char *pub_seed, const uint32_t addr[8]) { - int n = params->n; - - uint32_t ots_addr[8]; - uint32_t ltree_addr[8]; - uint32_t node_addr[8]; - // only copy layer and tree address parts - memcpy(ots_addr, addr, 12); - // type = ots - setType(ots_addr, 0); - memcpy(ltree_addr, addr, 12); - setType(ltree_addr, 1); - memcpy(node_addr, addr, 12); - setType(node_addr, 2); - - setLtreeADRS(ltree_addr, treehash->next_idx); - setOTSADRS(ots_addr, treehash->next_idx); - - unsigned char nodebuffer[2 * n]; - unsigned int nodeheight = 0; - gen_leaf_wots(nodebuffer, sk_seed, params, pub_seed, ltree_addr, ots_addr); - while (treehash->stackusage > 0 && state->stacklevels[state->stackoffset-1] == nodeheight) { - memcpy(nodebuffer + n, nodebuffer, n); - memcpy(nodebuffer, state->stack + (state->stackoffset-1)*n, n); - setTreeHeight(node_addr, nodeheight); - setTreeIndex(node_addr, (treehash->next_idx >> (nodeheight+1))); - hash_h(nodebuffer, nodebuffer, pub_seed, node_addr, n); - nodeheight++; - treehash->stackusage--; - state->stackoffset--; - } - if (nodeheight == treehash->h) { // this also implies stackusage == 0 - memcpy(treehash->node, nodebuffer, n); - treehash->completed = 1; - } - else { - memcpy(state->stack + state->stackoffset*n, nodebuffer, n); - treehash->stackusage++; - state->stacklevels[state->stackoffset] = nodeheight; - state->stackoffset++; - treehash->next_idx++; - } -} - -/** - * Computes a root node given a leaf and an authapth - */ -static void validate_authpath(unsigned char *root, const unsigned char *leaf, unsigned long leafidx, const unsigned char *authpath, const xmss_params *params, const unsigned char *pub_seed, uint32_t addr[8]) -{ - unsigned int n = params->n; - - uint32_t i, j; - unsigned char buffer[2*n]; - - // If leafidx is odd (last bit = 1), current path element is a right child and authpath has to go to the left. - // Otherwise, it is the other way around - if (leafidx & 1) { - for (j = 0; j < n; j++) - buffer[n+j] = leaf[j]; - for (j = 0; j < n; j++) - buffer[j] = authpath[j]; - } - else { - for (j = 0; j < n; j++) - buffer[j] = leaf[j]; - for (j = 0; j < n; j++) - buffer[n+j] = authpath[j]; - } - authpath += n; - - for (i=0; i < params->h-1; i++) { - setTreeHeight(addr, i); - leafidx >>= 1; - setTreeIndex(addr, leafidx); - if (leafidx&1) { - hash_h(buffer+n, buffer, pub_seed, addr, n); - for (j = 0; j < n; j++) - buffer[j] = authpath[j]; - } - else { - hash_h(buffer, buffer, pub_seed, addr, n); - for (j = 0; j < n; j++) - buffer[j+n] = authpath[j]; - } - authpath += n; - } - setTreeHeight(addr, (params->h-1)); - leafidx >>= 1; - setTreeIndex(addr, leafidx); - hash_h(root, buffer, pub_seed, addr, n); -} - -/** - * Performs one treehash update on the instance that needs it the most. - * Returns 1 if such an instance was not found - **/ -static char bds_treehash_update(bds_state *state, unsigned int updates, const unsigned char *sk_seed, const xmss_params *params, unsigned char *pub_seed, const uint32_t addr[8]) { - uint32_t i, j; - unsigned int level, l_min, low; - unsigned int h = params->h; - unsigned int k = params->k; - unsigned int used = 0; - - for (j = 0; j < updates; j++) { - l_min = h; - level = h - k; - for (i = 0; i < h - k; i++) { - if (state->treehash[i].completed) { - low = h; - } - else if (state->treehash[i].stackusage == 0) { - low = i; - } - else { - low = treehash_minheight_on_stack(state, params, &(state->treehash[i])); - } - if (low < l_min) { - level = i; - l_min = low; - } - } - if (level == h - k) { - break; - } - treehash_update(&(state->treehash[level]), state, sk_seed, params, pub_seed, addr); - used++; - } - return updates - used; -} - -/** - * Updates the state (typically NEXT_i) by adding a leaf and updating the stack - * Returns 1 if all leaf nodes have already been processed - **/ -static char bds_state_update(bds_state *state, const unsigned char *sk_seed, const xmss_params *params, unsigned char *pub_seed, const uint32_t addr[8]) { - uint32_t ltree_addr[8]; - uint32_t node_addr[8]; - uint32_t ots_addr[8]; - - int n = params->n; - int h = params->h; - int k = params->k; - - int nodeh; - int idx = state->next_leaf; - if (idx == 1 << h) { - return 1; - } - - // only copy layer and tree address parts - memcpy(ots_addr, addr, 12); - // type = ots - setType(ots_addr, 0); - memcpy(ltree_addr, addr, 12); - setType(ltree_addr, 1); - memcpy(node_addr, addr, 12); - setType(node_addr, 2); - - setOTSADRS(ots_addr, idx); - setLtreeADRS(ltree_addr, idx); - - gen_leaf_wots(state->stack+state->stackoffset*n, sk_seed, params, pub_seed, ltree_addr, ots_addr); - - state->stacklevels[state->stackoffset] = 0; - state->stackoffset++; - if (h - k > 0 && idx == 3) { - memcpy(state->treehash[0].node, state->stack+state->stackoffset*n, n); - } - while (state->stackoffset>1 && state->stacklevels[state->stackoffset-1] == state->stacklevels[state->stackoffset-2]) { - nodeh = state->stacklevels[state->stackoffset-1]; - if (idx >> nodeh == 1) { - memcpy(state->auth + nodeh*n, state->stack+(state->stackoffset-1)*n, n); - } - else { - if (nodeh < h - k && idx >> nodeh == 3) { - memcpy(state->treehash[nodeh].node, state->stack+(state->stackoffset-1)*n, n); - } - else if (nodeh >= h - k) { - memcpy(state->retain + ((1 << (h - 1 - nodeh)) + nodeh - h + (((idx >> nodeh) - 3) >> 1)) * n, state->stack+(state->stackoffset-1)*n, n); - } - } - setTreeHeight(node_addr, state->stacklevels[state->stackoffset-1]); - setTreeIndex(node_addr, (idx >> (state->stacklevels[state->stackoffset-1]+1))); - hash_h(state->stack+(state->stackoffset-2)*n, state->stack+(state->stackoffset-2)*n, pub_seed, node_addr, n); - - state->stacklevels[state->stackoffset-2]++; - state->stackoffset--; - } - state->next_leaf++; - return 0; -} - -/** - * Returns the auth path for node leaf_idx and computes the auth path for the - * next leaf node, using the algorithm described by Buchmann, Dahmen and Szydlo - * in "Post Quantum Cryptography", Springer 2009. - */ -static void bds_round(bds_state *state, const unsigned long leaf_idx, const unsigned char *sk_seed, const xmss_params *params, unsigned char *pub_seed, uint32_t addr[8]) -{ - unsigned int i; - unsigned int n = params->n; - unsigned int h = params->h; - unsigned int k = params->k; - - unsigned int tau = h; - unsigned int startidx; - unsigned int offset, rowidx; - unsigned char buf[2 * n]; - - uint32_t ots_addr[8]; - uint32_t ltree_addr[8]; - uint32_t node_addr[8]; - // only copy layer and tree address parts - memcpy(ots_addr, addr, 12); - // type = ots - setType(ots_addr, 0); - memcpy(ltree_addr, addr, 12); - setType(ltree_addr, 1); - memcpy(node_addr, addr, 12); - setType(node_addr, 2); - - for (i = 0; i < h; i++) { - if (! ((leaf_idx >> i) & 1)) { - tau = i; - break; - } - } - - if (tau > 0) { - memcpy(buf, state->auth + (tau-1) * n, n); - // we need to do this before refreshing state->keep to prevent overwriting - memcpy(buf + n, state->keep + ((tau-1) >> 1) * n, n); - } - if (!((leaf_idx >> (tau + 1)) & 1) && (tau < h - 1)) { - memcpy(state->keep + (tau >> 1)*n, state->auth + tau*n, n); - } - if (tau == 0) { - setLtreeADRS(ltree_addr, leaf_idx); - setOTSADRS(ots_addr, leaf_idx); - gen_leaf_wots(state->auth, sk_seed, params, pub_seed, ltree_addr, ots_addr); - } - else { - setTreeHeight(node_addr, (tau-1)); - setTreeIndex(node_addr, leaf_idx >> tau); - hash_h(state->auth + tau * n, buf, pub_seed, node_addr, n); - for (i = 0; i < tau; i++) { - if (i < h - k) { - memcpy(state->auth + i * n, state->treehash[i].node, n); - } - else { - offset = (1 << (h - 1 - i)) + i - h; - rowidx = ((leaf_idx >> i) - 1) >> 1; - memcpy(state->auth + i * n, state->retain + (offset + rowidx) * n, n); - } - } - - for (i = 0; i < ((tau < h - k) ? tau : (h - k)); i++) { - startidx = leaf_idx + 1 + 3 * (1 << i); - if (startidx < 1U << h) { - state->treehash[i].h = i; - state->treehash[i].next_idx = startidx; - state->treehash[i].completed = 0; - state->treehash[i].stackusage = 0; - } - } - } -} - -/* - * Generates a XMSS key pair for a given parameter set. - * Format sk: [(32bit) idx || SK_SEED || SK_PRF || PUB_SEED || root] - * Format pk: [root || PUB_SEED] omitting algo oid. - */ -int xmss_keypair(unsigned char *pk, unsigned char *sk, bds_state *state, xmss_params *params) -{ - unsigned int n = params->n; - // Set idx = 0 - sk[0] = 0; - sk[1] = 0; - sk[2] = 0; - sk[3] = 0; - // Init SK_SEED (n byte), SK_PRF (n byte), and PUB_SEED (n byte) - randombytes(sk+4, 3*n); - // Copy PUB_SEED to public key - memcpy(pk+n, sk+4+2*n, n); - - uint32_t addr[8] = {0, 0, 0, 0, 0, 0, 0, 0}; - - // Compute root - treehash_setup(pk, params->h, 0, state, sk+4, params, sk+4+2*n, addr); - // copy root to sk - memcpy(sk+4+3*n, pk, n); - return 0; -} - -/** - * Signs a message. - * Returns - * 1. an array containing the signature followed by the message AND - * 2. an updated secret key! - * - */ -int xmss_sign(unsigned char *sk, bds_state *state, unsigned char *sig_msg, unsigned long long *sig_msg_len, const unsigned char *msg, unsigned long long msglen, const xmss_params *params) -{ - unsigned int h = params->h; - unsigned int n = params->n; - unsigned int k = params->k; - uint16_t i = 0; - - // Extract SK - unsigned long idx = ((unsigned long)sk[0] << 24) | ((unsigned long)sk[1] << 16) | ((unsigned long)sk[2] << 8) | sk[3]; - unsigned char sk_seed[n]; - memcpy(sk_seed, sk+4, n); - unsigned char sk_prf[n]; - memcpy(sk_prf, sk+4+n, n); - unsigned char pub_seed[n]; - memcpy(pub_seed, sk+4+2*n, n); - - // index as 32 bytes string - unsigned char idx_bytes_32[32]; - to_byte(idx_bytes_32, idx, 32); - - unsigned char hash_key[3*n]; - - // Update SK - sk[0] = ((idx + 1) >> 24) & 255; - sk[1] = ((idx + 1) >> 16) & 255; - sk[2] = ((idx + 1) >> 8) & 255; - sk[3] = (idx + 1) & 255; - // -- Secret key for this non-forward-secure version is now updated. - // -- A productive implementation should use a file handle instead and write the updated secret key at this point! - - // Init working params - unsigned char R[n]; - unsigned char msg_h[n]; - unsigned char ots_seed[n]; - uint32_t ots_addr[8] = {0, 0, 0, 0, 0, 0, 0, 0}; - - // --------------------------------- - // Message Hashing - // --------------------------------- - - // Message Hash: - // First compute pseudorandom value - prf(R, idx_bytes_32, sk_prf, n); - // Generate hash key (R || root || idx) - memcpy(hash_key, R, n); - memcpy(hash_key+n, sk+4+3*n, n); - to_byte(hash_key+2*n, idx, n); - // Then use it for message digest - h_msg(msg_h, msg, msglen, hash_key, 3*n, n); - - // Start collecting signature - *sig_msg_len = 0; - - // Copy index to signature - sig_msg[0] = (idx >> 24) & 255; - sig_msg[1] = (idx >> 16) & 255; - sig_msg[2] = (idx >> 8) & 255; - sig_msg[3] = idx & 255; - - sig_msg += 4; - *sig_msg_len += 4; - - // Copy R to signature - for (i = 0; i < n; i++) - sig_msg[i] = R[i]; - - sig_msg += n; - *sig_msg_len += n; - - // ---------------------------------- - // Now we start to "really sign" - // ---------------------------------- - - // Prepare Address - setType(ots_addr, 0); - setOTSADRS(ots_addr, idx); - - // Compute seed for OTS key pair - get_seed(ots_seed, sk_seed, n, ots_addr); - - // Compute WOTS signature - wots_sign(sig_msg, msg_h, ots_seed, &(params->wots_par), pub_seed, ots_addr); - - sig_msg += params->wots_par.keysize; - *sig_msg_len += params->wots_par.keysize; - - // the auth path was already computed during the previous round - memcpy(sig_msg, state->auth, h*n); - - if (idx < (1U << h) - 1) { - bds_round(state, idx, sk_seed, params, pub_seed, ots_addr); - bds_treehash_update(state, (h - k) >> 1, sk_seed, params, pub_seed, ots_addr); - } - -/* TODO: save key/bds state here! */ - - sig_msg += params->h*n; - *sig_msg_len += params->h*n; - - //Whipe secret elements? - //zerobytes(tsk, CRYPTO_SECRETKEYBYTES); - - - memcpy(sig_msg, msg, msglen); - *sig_msg_len += msglen; - - return 0; -} - -/** - * Verifies a given message signature pair under a given public key. - */ -int xmss_sign_open(unsigned char *msg, unsigned long long *msglen, const unsigned char *sig_msg, unsigned long long sig_msg_len, const unsigned char *pk, const xmss_params *params) -{ - unsigned int n = params->n; - - unsigned long long i, m_len; - unsigned long idx=0; - unsigned char wots_pk[params->wots_par.keysize]; - unsigned char pkhash[n]; - unsigned char root[n]; - unsigned char msg_h[n]; - unsigned char hash_key[3*n]; - - unsigned char pub_seed[n]; - memcpy(pub_seed, pk+n, n); - - // Init addresses - uint32_t ots_addr[8] = {0, 0, 0, 0, 0, 0, 0, 0}; - uint32_t ltree_addr[8] = {0, 0, 0, 0, 0, 0, 0, 0}; - uint32_t node_addr[8] = {0, 0, 0, 0, 0, 0, 0, 0}; - - setType(ots_addr, 0); - setType(ltree_addr, 1); - setType(node_addr, 2); - - // Extract index - idx = ((unsigned long)sig_msg[0] << 24) | ((unsigned long)sig_msg[1] << 16) | ((unsigned long)sig_msg[2] << 8) | sig_msg[3]; - printf("verify:: idx = %lu\n", idx); - - // Generate hash key (R || root || idx) - memcpy(hash_key, sig_msg+4,n); - memcpy(hash_key+n, pk, n); - to_byte(hash_key+2*n, idx, n); - - sig_msg += (n+4); - sig_msg_len -= (n+4); - - // hash message - unsigned long long tmp_sig_len = params->wots_par.keysize+params->h*n; - m_len = sig_msg_len - tmp_sig_len; - h_msg(msg_h, sig_msg + tmp_sig_len, m_len, hash_key, 3*n, n); - - //----------------------- - // Verify signature - //----------------------- - - // Prepare Address - setOTSADRS(ots_addr, idx); - // Check WOTS signature - wots_pkFromSig(wots_pk, sig_msg, msg_h, &(params->wots_par), pub_seed, ots_addr); - - sig_msg += params->wots_par.keysize; - sig_msg_len -= params->wots_par.keysize; - - // Compute Ltree - setLtreeADRS(ltree_addr, idx); - l_tree(pkhash, wots_pk, params, pub_seed, ltree_addr); - - // Compute root - validate_authpath(root, pkhash, idx, sig_msg, params, pub_seed, node_addr); - - sig_msg += params->h*n; - sig_msg_len -= params->h*n; - - for (i = 0; i < n; i++) - if (root[i] != pk[i]) - goto fail; - - *msglen = sig_msg_len; - for (i = 0; i < *msglen; i++) - msg[i] = sig_msg[i]; - - return 0; - - -fail: - *msglen = sig_msg_len; - for (i = 0; i < *msglen; i++) - msg[i] = 0; - *msglen = -1; - return -1; -} - -/* - * Generates a XMSSMT key pair for a given parameter set. - * Format sk: [(ceil(h/8) bit) idx || SK_SEED || SK_PRF || PUB_SEED || root] - * Format pk: [root || PUB_SEED] omitting algo oid. - */ -int xmssmt_keypair(unsigned char *pk, unsigned char *sk, bds_state *states, unsigned char *wots_sigs, xmssmt_params *params) -{ - unsigned int n = params->n; - unsigned int i; - unsigned char ots_seed[params->n]; - // Set idx = 0 - for (i = 0; i < params->index_len; i++) { - sk[i] = 0; - } - // Init SK_SEED (n byte), SK_PRF (n byte), and PUB_SEED (n byte) - randombytes(sk+params->index_len, 3*n); - // Copy PUB_SEED to public key - memcpy(pk+n, sk+params->index_len+2*n, n); - - // Set address to point on the single tree on layer d-1 - uint32_t addr[8] = {0, 0, 0, 0, 0, 0, 0, 0}; - setLayerADRS(addr, (params->d-1)); - // Set up state and compute wots signatures for all but topmost tree root - for (i = 0; i < params->d - 1; i++) { - // Compute seed for OTS key pair - treehash_setup(pk, params->xmss_par.h, 0, states + i, sk+params->index_len, &(params->xmss_par), pk+n, addr); - setLayerADRS(addr, (i+1)); - get_seed(ots_seed, sk+params->index_len, n, addr); - wots_sign(wots_sigs + i*params->xmss_par.wots_par.keysize, pk, ots_seed, &(params->xmss_par.wots_par), pk+n, addr); - } - treehash_setup(pk, params->xmss_par.h, 0, states + i, sk+params->index_len, &(params->xmss_par), pk+n, addr); - memcpy(sk+params->index_len+3*n, pk, n); - return 0; -} - -/** - * Signs a message. - * Returns - * 1. an array containing the signature followed by the message AND - * 2. an updated secret key! - * - */ -int xmssmt_sign(unsigned char *sk, bds_state *states, unsigned char *wots_sigs, unsigned char *sig_msg, unsigned long long *sig_msg_len, const unsigned char *msg, unsigned long long msglen, const xmssmt_params *params) -{ - unsigned int n = params->n; - - unsigned int tree_h = params->xmss_par.h; - unsigned int h = params->h; - unsigned int k = params->xmss_par.k; - unsigned int idx_len = params->index_len; - uint64_t idx_tree; - uint32_t idx_leaf; - uint64_t i, j; - int needswap_upto = -1; - unsigned int updates; - - unsigned char sk_seed[n]; - unsigned char sk_prf[n]; - unsigned char pub_seed[n]; - // Init working params - unsigned char R[n]; - unsigned char msg_h[n]; - unsigned char hash_key[3*n]; - unsigned char ots_seed[n]; - uint32_t addr[8] = {0, 0, 0, 0, 0, 0, 0, 0}; - uint32_t ots_addr[8] = {0, 0, 0, 0, 0, 0, 0, 0}; - unsigned char idx_bytes_32[32]; - bds_state tmp; - - // Extract SK - unsigned long long idx = 0; - for (i = 0; i < idx_len; i++) { - idx |= ((unsigned long long)sk[i]) << 8*(idx_len - 1 - i); - } - - memcpy(sk_seed, sk+idx_len, n); - memcpy(sk_prf, sk+idx_len+n, n); - memcpy(pub_seed, sk+idx_len+2*n, n); - - // Update SK - for (i = 0; i < idx_len; i++) { - sk[i] = ((idx + 1) >> 8*(idx_len - 1 - i)) & 255; - } - // -- Secret key for this non-forward-secure version is now updated. - // -- A productive implementation should use a file handle instead and write the updated secret key at this point! - - - // --------------------------------- - // Message Hashing - // --------------------------------- - - // Message Hash: - // First compute pseudorandom value - to_byte(idx_bytes_32, idx, 32); - prf(R, idx_bytes_32, sk_prf, n); - // Generate hash key (R || root || idx) - memcpy(hash_key, R, n); - memcpy(hash_key+n, sk+idx_len+3*n, n); - to_byte(hash_key+2*n, idx, n); - - // Then use it for message digest - h_msg(msg_h, msg, msglen, hash_key, 3*n, n); - - // Start collecting signature - *sig_msg_len = 0; - - // Copy index to signature - for (i = 0; i < idx_len; i++) { - sig_msg[i] = (idx >> 8*(idx_len - 1 - i)) & 255; - } - - sig_msg += idx_len; - *sig_msg_len += idx_len; - - // Copy R to signature - for (i = 0; i < n; i++) - sig_msg[i] = R[i]; - - sig_msg += n; - *sig_msg_len += n; - - // ---------------------------------- - // Now we start to "really sign" - // ---------------------------------- - - // Handle lowest layer separately as it is slightly different... - - // Prepare Address - setType(ots_addr, 0); - idx_tree = idx >> tree_h; - idx_leaf = (idx & ((1 << tree_h)-1)); - setLayerADRS(ots_addr, 0); - setTreeADRS(ots_addr, idx_tree); - setOTSADRS(ots_addr, idx_leaf); - - // Compute seed for OTS key pair - get_seed(ots_seed, sk_seed, n, ots_addr); - - // Compute WOTS signature - wots_sign(sig_msg, msg_h, ots_seed, &(params->xmss_par.wots_par), pub_seed, ots_addr); - - sig_msg += params->xmss_par.wots_par.keysize; - *sig_msg_len += params->xmss_par.wots_par.keysize; - - memcpy(sig_msg, states[0].auth, tree_h*n); - sig_msg += tree_h*n; - *sig_msg_len += tree_h*n; - - // prepare signature of remaining layers - for (i = 1; i < params->d; i++) { - // put WOTS signature in place - memcpy(sig_msg, wots_sigs + (i-1)*params->xmss_par.wots_par.keysize, params->xmss_par.wots_par.keysize); - - sig_msg += params->xmss_par.wots_par.keysize; - *sig_msg_len += params->xmss_par.wots_par.keysize; - - // put AUTH nodes in place - memcpy(sig_msg, states[i].auth, tree_h*n); - sig_msg += tree_h*n; - *sig_msg_len += tree_h*n; - } - - updates = (tree_h - k) >> 1; - - setTreeADRS(addr, (idx_tree + 1)); - // mandatory update for NEXT_0 (does not count towards h-k/2) if NEXT_0 exists - if ((1 + idx_tree) * (1 << tree_h) + idx_leaf < (1ULL << h)) { - bds_state_update(&states[params->d], sk_seed, &(params->xmss_par), pub_seed, addr); - } - - for (i = 0; i < params->d; i++) { - // check if we're not at the end of a tree - if (! (((idx + 1) & ((1ULL << ((i+1)*tree_h)) - 1)) == 0)) { - idx_leaf = (idx >> (tree_h * i)) & ((1 << tree_h)-1); - idx_tree = (idx >> (tree_h * (i+1))); - setLayerADRS(addr, i); - setTreeADRS(addr, idx_tree); - if (i == (unsigned int) (needswap_upto + 1)) { - bds_round(&states[i], idx_leaf, sk_seed, &(params->xmss_par), pub_seed, addr); - } - updates = bds_treehash_update(&states[i], updates, sk_seed, &(params->xmss_par), pub_seed, addr); - setTreeADRS(addr, (idx_tree + 1)); - // if a NEXT-tree exists for this level; - if ((1 + idx_tree) * (1 << tree_h) + idx_leaf < (1ULL << (h - tree_h * i))) { - if (i > 0 && updates > 0 && states[params->d + i].next_leaf < (1ULL << h)) { - bds_state_update(&states[params->d + i], sk_seed, &(params->xmss_par), pub_seed, addr); - updates--; - } - } - } - else if (idx < (1ULL << h) - 1) { - memcpy(&tmp, states+params->d + i, sizeof(bds_state)); - memcpy(states+params->d + i, states + i, sizeof(bds_state)); - memcpy(states + i, &tmp, sizeof(bds_state)); - - setLayerADRS(ots_addr, (i+1)); - setTreeADRS(ots_addr, ((idx + 1) >> ((i+2) * tree_h))); - setOTSADRS(ots_addr, (((idx >> ((i+1) * tree_h)) + 1) & ((1 << tree_h)-1))); - - get_seed(ots_seed, sk+params->index_len, n, ots_addr); - wots_sign(wots_sigs + i*params->xmss_par.wots_par.keysize, states[i].stack, ots_seed, &(params->xmss_par.wots_par), pub_seed, ots_addr); - - states[params->d + i].stackoffset = 0; - states[params->d + i].next_leaf = 0; - - updates--; // WOTS-signing counts as one update - needswap_upto = i; - for (j = 0; j < tree_h-k; j++) { - states[i].treehash[j].completed = 1; - } - } - } - - //Whipe secret elements? - //zerobytes(tsk, CRYPTO_SECRETKEYBYTES); - - memcpy(sig_msg, msg, msglen); - *sig_msg_len += msglen; - - return 0; -} - -/** - * Verifies a given message signature pair under a given public key. - */ -int xmssmt_sign_open(unsigned char *msg, unsigned long long *msglen, const unsigned char *sig_msg, unsigned long long sig_msg_len, const unsigned char *pk, const xmssmt_params *params) -{ - unsigned int n = params->n; - - unsigned int tree_h = params->xmss_par.h; - unsigned int idx_len = params->index_len; - uint64_t idx_tree; - uint32_t idx_leaf; - - unsigned long long i, m_len; - unsigned long long idx=0; - unsigned char wots_pk[params->xmss_par.wots_par.keysize]; - unsigned char pkhash[n]; - unsigned char root[n]; - unsigned char msg_h[n]; - unsigned char hash_key[3*n]; - - unsigned char pub_seed[n]; - memcpy(pub_seed, pk+n, n); - - // Init addresses - uint32_t ots_addr[8] = {0, 0, 0, 0, 0, 0, 0, 0}; - uint32_t ltree_addr[8] = {0, 0, 0, 0, 0, 0, 0, 0}; - uint32_t node_addr[8] = {0, 0, 0, 0, 0, 0, 0, 0}; - - // Extract index - for (i = 0; i < idx_len; i++) { - idx |= ((unsigned long long)sig_msg[i]) << (8*(idx_len - 1 - i)); - } - printf("verify:: idx = %llu\n", idx); - sig_msg += idx_len; - sig_msg_len -= idx_len; - - // Generate hash key (R || root || idx) - memcpy(hash_key, sig_msg,n); - memcpy(hash_key+n, pk, n); - to_byte(hash_key+2*n, idx, n); - - sig_msg += n; - sig_msg_len -= n; - - - // hash message (recall, R is now on pole position at sig_msg - unsigned long long tmp_sig_len = (params->d * params->xmss_par.wots_par.keysize) + (params->h * n); - m_len = sig_msg_len - tmp_sig_len; - h_msg(msg_h, sig_msg + tmp_sig_len, m_len, hash_key, 3*n, n); - - - //----------------------- - // Verify signature - //----------------------- - - // Prepare Address - idx_tree = idx >> tree_h; - idx_leaf = (idx & ((1 << tree_h)-1)); - setLayerADRS(ots_addr, 0); - setTreeADRS(ots_addr, idx_tree); - setType(ots_addr, 0); - - memcpy(ltree_addr, ots_addr, 12); - setType(ltree_addr, 1); - - memcpy(node_addr, ltree_addr, 12); - setType(node_addr, 2); - - setOTSADRS(ots_addr, idx_leaf); - - // Check WOTS signature - wots_pkFromSig(wots_pk, sig_msg, msg_h, &(params->xmss_par.wots_par), pub_seed, ots_addr); - - sig_msg += params->xmss_par.wots_par.keysize; - sig_msg_len -= params->xmss_par.wots_par.keysize; - - // Compute Ltree - setLtreeADRS(ltree_addr, idx_leaf); - l_tree(pkhash, wots_pk, &(params->xmss_par), pub_seed, ltree_addr); - - // Compute root - validate_authpath(root, pkhash, idx_leaf, sig_msg, &(params->xmss_par), pub_seed, node_addr); - - sig_msg += tree_h*n; - sig_msg_len -= tree_h*n; - - for (i = 1; i < params->d; i++) { - // Prepare Address - idx_leaf = (idx_tree & ((1 << tree_h)-1)); - idx_tree = idx_tree >> tree_h; - - setLayerADRS(ots_addr, i); - setTreeADRS(ots_addr, idx_tree); - setType(ots_addr, 0); - - memcpy(ltree_addr, ots_addr, 12); - setType(ltree_addr, 1); - - memcpy(node_addr, ltree_addr, 12); - setType(node_addr, 2); - - setOTSADRS(ots_addr, idx_leaf); - - // Check WOTS signature - wots_pkFromSig(wots_pk, sig_msg, root, &(params->xmss_par.wots_par), pub_seed, ots_addr); - - sig_msg += params->xmss_par.wots_par.keysize; - sig_msg_len -= params->xmss_par.wots_par.keysize; - - // Compute Ltree - setLtreeADRS(ltree_addr, idx_leaf); - l_tree(pkhash, wots_pk, &(params->xmss_par), pub_seed, ltree_addr); - - // Compute root - validate_authpath(root, pkhash, idx_leaf, sig_msg, &(params->xmss_par), pub_seed, node_addr); - - sig_msg += tree_h*n; - sig_msg_len -= tree_h*n; - - } - - for (i = 0; i < n; i++) - if (root[i] != pk[i]) - goto fail; - - *msglen = sig_msg_len; - for (i = 0; i < *msglen; i++) - msg[i] = sig_msg[i]; - - return 0; - - -fail: - *msglen = sig_msg_len; - for (i = 0; i < *msglen; i++) - msg[i] = 0; - *msglen = -1; - return -1; -} -#endif /* WITH_XMSS */ |