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/*
* XMSS Private Key
* An XMSS: Extended Hash-Based Siganture private key.
* The XMSS private key does not support the X509 and PKCS7 standard. Instead
* the raw format described in [1] is used.
*
* [1] XMSS: Extended Hash-Based Signatures,
* draft-itrf-cfrg-xmss-hash-based-signatures-06
* Release: July 2016.
* https://datatracker.ietf.org/doc/
* draft-irtf-cfrg-xmss-hash-based-signatures/?include_text=1
*
* (C) 2016,2017 Matthias Gierlings
*
* Botan is released under the Simplified BSD License (see license.txt)
**/
#include <botan/xmss_privatekey.h>
#include <botan/internal/xmss_signature_operation.h>
#include <cmath>
#if defined(BOTAN_TARGET_OS_HAS_THREADS)
#include <thread>
#endif
namespace Botan {
XMSS_PrivateKey::XMSS_PrivateKey(const secure_vector<uint8_t>& raw_key)
: XMSS_PublicKey(unlock(raw_key)),
XMSS_Common_Ops(XMSS_PublicKey::m_xmss_params.oid()),
m_wots_priv_key(m_wots_params.oid(), m_public_seed),
m_index_reg(XMSS_Index_Registry::get_instance())
{
BOTAN_ASSERT(sizeof(size_t) >= std::ceil(
static_cast<float>(XMSS_PublicKey::m_xmss_params.tree_height()) / 8.f),
"System type \"size_t\" not big enough to support"
" leaf index.");
if(raw_key.size() != size())
{
throw Decoding_Error("Invalid XMSS private key size detected.");
}
// extract & copy unused leaf index from raw_key.
uint64_t unused_leaf = 0;
auto begin = (raw_key.begin() + XMSS_PublicKey::size());
auto end = raw_key.begin() + XMSS_PublicKey::size() + sizeof(uint64_t);
for(auto& i = begin; i != end; i++)
{
unused_leaf = ((unused_leaf << 8) | *i);
}
if(unused_leaf >= (1ull << XMSS_PublicKey::m_xmss_params.tree_height()))
{
throw Decoding_Error("XMSS private key leaf index out of bounds");
}
begin = end;
end = begin + XMSS_PublicKey::m_xmss_params.element_size();
m_prf.clear();
m_prf.reserve(XMSS_PublicKey::m_xmss_params.element_size());
std::copy(begin, end, std::back_inserter(m_prf));
begin = end;
end = begin + m_wots_params.element_size();
m_wots_priv_key.set_private_seed(secure_vector<uint8_t>(begin, end));
set_unused_leaf_index(static_cast<size_t>(unused_leaf));
}
XMSS_PrivateKey::XMSS_PrivateKey(
XMSS_Parameters::xmss_algorithm_t xmss_algo_id,
RandomNumberGenerator& rng)
: XMSS_PublicKey(xmss_algo_id, rng),
XMSS_Common_Ops(xmss_algo_id),
m_wots_priv_key(XMSS_PublicKey::m_xmss_params.ots_oid(),
public_seed(),
rng),
m_prf(rng.random_vec(XMSS_PublicKey::m_xmss_params.element_size())),
m_index_reg(XMSS_Index_Registry::get_instance())
{
XMSS_Address adrs;
set_root(tree_hash(0,
XMSS_PublicKey::m_xmss_params.tree_height(),
adrs));
}
secure_vector<uint8_t>
XMSS_PrivateKey::tree_hash(size_t start_idx,
size_t target_node_height,
XMSS_Address& adrs)
{
BOTAN_ASSERT((start_idx % (1 << target_node_height)) == 0,
"Start index must be divisible by 2^{target node height}.");
#if defined(BOTAN_TARGET_OS_HAS_THREADS)
// dertermine number of parallel tasks to split the tree_hashing into.
size_t split_level = std::min(
{
target_node_height,
static_cast<size_t>(
std::ceil(std::log2(XMSS_Tools::max_threads())))
});
// skip parallelization overhead for leaf nodes.
if(split_level == 0)
{
#endif
secure_vector<uint8_t> result;
tree_hash_subtree(result, start_idx, target_node_height, adrs);
return result;
#if defined(BOTAN_TARGET_OS_HAS_THREADS)
}
const size_t subtrees = static_cast<size_t>(1) << split_level;
const size_t last_idx = (static_cast<size_t>(1) << (target_node_height)) + start_idx;
const size_t offs = (last_idx - start_idx) / subtrees;
uint8_t level = split_level; // current level in the tree
BOTAN_ASSERT((last_idx - start_idx) % subtrees == 0,
"Number of worker threads in tree_hash need to divide range "
"of calculated nodes.");
std::vector<secure_vector<uint8_t>> nodes(
subtrees,
secure_vector<uint8_t>(XMSS_PublicKey::m_xmss_params.element_size()));
std::vector<XMSS_Address> node_addresses(subtrees, adrs);
std::vector<XMSS_Hash> xmss_hash(subtrees, m_hash);
std::vector<std::thread> threads;
threads.reserve(subtrees);
// Calculate multiple subtrees in parallel.
for(size_t i = 0; i < subtrees; i++)
{
using tree_hash_subtree_fn_t =
void (XMSS_PrivateKey::*)(secure_vector<uint8_t>&,
size_t,
size_t,
XMSS_Address&,
XMSS_Hash&);
threads.emplace_back(
std::thread(
static_cast<tree_hash_subtree_fn_t>(
&XMSS_PrivateKey::tree_hash_subtree),
this,
std::ref(nodes[i]),
start_idx + i * offs,
target_node_height - split_level,
std::ref(node_addresses[i]),
std::ref(xmss_hash[i])));
}
for(auto& t : threads)
{
t.join();
}
threads.clear();
// Parallelize the top tree levels horizontally
while(level-- > 1)
{
std::vector<secure_vector<uint8_t>> ro_nodes(
nodes.begin(), nodes.begin() + (1 << (level+1)));
for(size_t i = 0; i < (1U << level); i++)
{
node_addresses[i].set_tree_height(target_node_height - (level + 1));
node_addresses[i].set_tree_index(
(node_addresses[2 * i + 1].get_tree_index() - 1) >> 1);
using rnd_tree_hash_fn_t =
void (XMSS_PrivateKey::*)(secure_vector<uint8_t>&,
const secure_vector<uint8_t>&,
const secure_vector<uint8_t>&,
XMSS_Address& adrs,
const secure_vector<uint8_t>&,
XMSS_Hash&);
threads.emplace_back(
std::thread(
static_cast<rnd_tree_hash_fn_t>(
&XMSS_PrivateKey::randomize_tree_hash),
this,
std::ref(nodes[i]),
std::ref(ro_nodes[2 * i]),
std::ref(ro_nodes[2 * i + 1]),
std::ref(node_addresses[i]),
std::ref(this->public_seed()),
std::ref(xmss_hash[i])));
}
for(auto &t : threads)
{
t.join();
}
threads.clear();
}
// Avoid creation an extra thread to calculate root node.
node_addresses[0].set_tree_height(target_node_height - 1);
node_addresses[0].set_tree_index(
(node_addresses[1].get_tree_index() - 1) >> 1);
randomize_tree_hash(nodes[0],
nodes[0],
nodes[1],
node_addresses[0],
this->public_seed());
return nodes[0];
#endif
}
void
XMSS_PrivateKey::tree_hash_subtree(secure_vector<uint8_t>& result,
size_t start_idx,
size_t target_node_height,
XMSS_Address& adrs,
XMSS_Hash& hash)
{
const secure_vector<uint8_t>& seed = this->public_seed();
std::vector<secure_vector<uint8_t>> nodes(
target_node_height + 1,
secure_vector<uint8_t>(XMSS_PublicKey::m_xmss_params.element_size()));
// node stack, holds all nodes on stack and one extra "pending" node. This
// temporary node referred to as "node" in the XMSS standard document stays
// a pending element, meaning it is not regarded as element on the stack
// until level is increased.
std::vector<uint8_t> node_levels(target_node_height + 1);
uint8_t level = 0; // current level on the node stack.
XMSS_WOTS_PublicKey pk(m_wots_priv_key.wots_parameters().oid(), seed);
const size_t last_idx = (static_cast<size_t>(1) << target_node_height) + start_idx;
for(size_t i = start_idx; i < last_idx; i++)
{
adrs.set_type(XMSS_Address::Type::OTS_Hash_Address);
adrs.set_ots_address(i);
this->wots_private_key().generate_public_key(
pk,
// getWOTS_SK(SK, s + i), reference implementation uses adrs
// instead of zero padded index s + i.
this->wots_private_key().at(adrs, hash),
adrs,
hash);
adrs.set_type(XMSS_Address::Type::LTree_Address);
adrs.set_ltree_address(i);
create_l_tree(nodes[level], pk, adrs, seed, hash);
node_levels[level] = 0;
adrs.set_type(XMSS_Address::Type::Hash_Tree_Address);
adrs.set_tree_height(0);
adrs.set_tree_index(i);
while(level > 0 && node_levels[level] ==
node_levels[level - 1])
{
adrs.set_tree_index(((adrs.get_tree_index() - 1) >> 1));
randomize_tree_hash(nodes[level - 1],
nodes[level - 1],
nodes[level],
adrs,
seed,
hash);
node_levels[level - 1]++;
level--; //Pop stack top element
adrs.set_tree_height(adrs.get_tree_height() + 1);
}
level++; //push temporary node to stack
}
result = nodes[level - 1];
}
std::shared_ptr<Atomic<size_t>>
XMSS_PrivateKey::recover_global_leaf_index() const
{
BOTAN_ASSERT(m_wots_priv_key.private_seed().size() ==
XMSS_PublicKey::m_xmss_params.element_size() &&
m_prf.size() == XMSS_PublicKey::m_xmss_params.element_size(),
"Trying to retrieve index for partially initialized "
"key.");
return m_index_reg.get(m_wots_priv_key.private_seed(),
m_prf);
}
secure_vector<uint8_t> XMSS_PrivateKey::raw_private_key() const
{
std::vector<uint8_t> pk { raw_public_key() };
secure_vector<uint8_t> result(pk.begin(), pk.end());
result.reserve(size());
for(int i = 7; i >= 0; i--)
{
result.push_back(
static_cast<uint8_t>(
static_cast<uint64_t>(unused_leaf_index()) >> 8 * i));
}
std::copy(m_prf.begin(), m_prf.end(), std::back_inserter(result));
std::copy(m_wots_priv_key.private_seed().begin(),
m_wots_priv_key.private_seed().end(),
std::back_inserter(result));
return result;
}
std::unique_ptr<PK_Ops::Signature>
XMSS_PrivateKey::create_signature_op(RandomNumberGenerator&,
const std::string&,
const std::string& provider) const
{
if(provider == "base" || provider.empty())
return std::unique_ptr<PK_Ops::Signature>(
new XMSS_Signature_Operation(*this));
throw Provider_Not_Found(algo_name(), provider);
}
}
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