#include #include #include #include "hash.h" #include "hash_address.h" #include "params.h" #include "wots.h" #include "utils.h" #include "xmss_commons.h" /** * 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. */ void gen_leaf_wots(const xmss_params *params, unsigned char *leaf, const unsigned char *sk_seed, 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_sig_bytes]; get_seed(params, seed, sk_seed, ots_addr); wots_pkgen(params, pk, seed, pub_seed, ots_addr); l_tree(params, leaf, pk, pub_seed, ltree_addr); } /** * Used for pseudo-random key generation. * Generates the seed for the WOTS key pair at address 'addr'. * * Takes n-byte sk_seed and returns n-byte seed using 32 byte address 'addr'. */ void get_seed(const xmss_params *params, unsigned char *seed, const unsigned char *sk_seed, uint32_t addr[8]) { unsigned char bytes[32]; /* Make sure that chain addr, hash addr, and key bit are zeroed. */ set_chain_addr(addr, 0); set_hash_addr(addr, 0); set_key_and_mask(addr, 0); /* Generate seed. */ addr_to_bytes(bytes, addr); prf(params, seed, bytes, sk_seed); } /** * Computes a leaf node from a WOTS public key using an L-tree. * Note that this destroys the used WOTS public key. */ void l_tree(const xmss_params *params, unsigned char *leaf, unsigned char *wots_pk, const unsigned char *pub_seed, uint32_t addr[8]) { unsigned int l = params->wots_len; unsigned int parent_nodes; uint32_t i; uint32_t height = 0; set_tree_height(addr, height); while (l > 1) { parent_nodes = l >> 1; for (i = 0; i < parent_nodes; i++) { set_tree_index(addr, i); /* Hashes the nodes at (i*2)*params->n and (i*2)*params->n + 1 */ hash_h(params, wots_pk + i*params->n, wots_pk + (i*2)*params->n, pub_seed, addr); } /* If the row contained an odd number of nodes, the last node was not hashed. Instead, we pull it up to the next layer. */ if (l & 1) { memcpy(wots_pk + (l >> 1)*params->n, wots_pk + (l - 1)*params->n, params->n); l = (l >> 1) + 1; } else { l = l >> 1; } height++; set_tree_height(addr, height); } memcpy(leaf, wots_pk, params->n); } /** * Computes a root node given a leaf and an auth path */ static void compute_root(const xmss_params *params, unsigned char *root, const unsigned char *leaf, unsigned long leafidx, const unsigned char *auth_path, const unsigned char *pub_seed, uint32_t addr[8]) { uint32_t i; unsigned char buffer[2*params->n]; /* If leafidx is odd (last bit = 1), current path element is a right child and auth_path has to go left. Otherwise it is the other way around. */ if (leafidx & 1) { memcpy(buffer + params->n, leaf, params->n); memcpy(buffer, auth_path, params->n); } else { memcpy(buffer, leaf, params->n); memcpy(buffer + params->n, auth_path, params->n); } auth_path += params->n; for (i = 0; i < params->tree_height - 1; i++) { set_tree_height(addr, i); leafidx >>= 1; set_tree_index(addr, leafidx); /* Pick the right or left neighbor, depending on parity of the node. */ if (leafidx & 1) { hash_h(params, buffer + params->n, buffer, pub_seed, addr); memcpy(buffer, auth_path, params->n); } else { hash_h(params, buffer, buffer, pub_seed, addr); memcpy(buffer + params->n, auth_path, params->n); } auth_path += params->n; } /* The last iteration is exceptional; we do not copy an auth)path node. */ set_tree_height(addr, params->tree_height - 1); leafidx >>= 1; set_tree_index(addr, leafidx); hash_h(params, root, buffer, pub_seed, addr); } /** * Verifies a given message signature pair under a given public key. * Note that this assumes a pk without an OID, i.e. [root || PUB_SEED] */ int xmss_core_sign_open(const xmss_params *params, unsigned char *m, unsigned long long *mlen, const unsigned char *sm, unsigned long long smlen, const unsigned char *pk) { /* XMSS signatures are fundamentally an instance of XMSSMT signatures. For d=1, as is the case with XMSS, some of the calls in the XMSSMT routine become vacuous (i.e. the loop only iterates once, and address management can be simplified a bit).*/ return xmssmt_core_sign_open(params, m, mlen, sm, smlen, pk); } /** * Verifies a given message signature pair under a given public key. * Note that this assumes a pk without an OID, i.e. [root || PUB_SEED] */ int xmssmt_core_sign_open(const xmss_params *params, unsigned char *m, unsigned long long *mlen, const unsigned char *sm, unsigned long long smlen, const unsigned char *pk) { const unsigned char *pub_seed = pk + params->n; unsigned char wots_pk[params->wots_sig_bytes]; unsigned char leaf[params->n]; unsigned char root[params->n]; unsigned char *mhash = root; unsigned long long idx = 0; unsigned int i; uint32_t idx_leaf; uint32_t ots_addr[8] = {0}; uint32_t ltree_addr[8] = {0}; uint32_t node_addr[8] = {0}; set_type(ots_addr, XMSS_ADDR_TYPE_OTS); set_type(ltree_addr, XMSS_ADDR_TYPE_LTREE); set_type(node_addr, XMSS_ADDR_TYPE_HASHTREE); *mlen = smlen - params->sig_bytes; /* Convert the index bytes from the signature to an integer. */ idx = bytes_to_ull(sm, params->index_bytes); /* Put the message all the way at the end of the m buffer, so that we can * prepend the required other inputs for the hash function. */ memcpy(m + params->sig_bytes, sm + params->sig_bytes, *mlen); /* Compute the message hash. */ hash_message(params, mhash, sm + params->index_bytes, pk, idx, m + params->sig_bytes - 4*params->n, *mlen); sm += params->index_bytes + params->n; /* For each subtree.. */ for (i = 0; i < params->d; i++) { idx_leaf = (idx & ((1 << params->tree_height)-1)); idx = idx >> params->tree_height; set_layer_addr(ots_addr, i); set_layer_addr(ltree_addr, i); set_layer_addr(node_addr, i); set_tree_addr(ltree_addr, idx); set_tree_addr(ots_addr, idx); set_tree_addr(node_addr, idx); /* The WOTS public key is only correct if the signature was correct. */ set_ots_addr(ots_addr, idx_leaf); /* Initially, root = mhash, but on subsequent iterations it is the root of the subtree below the currently processed subtree. */ wots_pk_from_sig(params, wots_pk, sm, root, pub_seed, ots_addr); sm += params->wots_sig_bytes; /* Compute the leaf node using the WOTS public key. */ set_ltree_addr(ltree_addr, idx_leaf); l_tree(params, leaf, wots_pk, pub_seed, ltree_addr); /* Compute the root node of this subtree. */ compute_root(params, root, leaf, idx_leaf, sm, pub_seed, node_addr); sm += params->tree_height*params->n; } /* Check if the root node equals the root node in the public key. */ if (memcmp(root, pk, params->n)) { /* If not, zero the message */ memset(m, 0, *mlen); *mlen = 0; return -1; } /* If verification was successful, copy the message from the signature. */ memcpy(m, sm, *mlen); return 0; }