diff options
| author | Matthias Gierlings <[email protected]> | 2016-10-08 20:45:53 +0200 |
|---|---|---|
| committer | Matthias Gierlings <[email protected]> | 2016-11-11 12:52:26 +0100 |
| commit | 8b06b4fe5fbe189c7d5250becb189bf2b87b9013 (patch) | |
| tree | c73fbb3bf4eddcddf1d3f37983799d80204e8f2c | |
| parent | 618f890fd7ede74c728612ca8bc590c72ee353f1 (diff) | |
Added Extended Hash-Based Signatures (XMSS)
[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
Provides XMSS_PublicKey and XMSS_PrivateKey classes as well as implementations
for the Botan interfaces PK_Ops::Signature and PK_Ops::Verification. XMSS has
been integrated into the Botan test bench, signature generation and verification
can be tested independently by invoking "botan-test xmss_sign" and
"botan-test xmss_verify"
- Some headers that are not required to be exposed to users of the library have
to be declared as public in `info.txt`. Declaring those headers private will
cause the amalgamation build to fail. The following headers have been
declared public inside `info.txt`, even though they are only intended for
internal use:
* atomic.h
* xmss_hash.h
* xmss_index_registry.h
* xmss_address.h
* xmss_common_ops.h
* xmss_tools.h
* xmss_wots_parameters.h
* xmss_wots_privatekey.h
* xmss_wots_publickey.h
- XMSS_Verification_Operation Requires the "randomness" parameter out of the
XMSS signature. "Randomness" is part of the prefix that is hashed *before*
the message. Since the signature is unknown till sign() is called, all
message content has to be buffered. For large messages this can be
inconvenient or impossible.
**Possible solution**: Change PK_Ops::Verification interface to take
the signature as constructor argument, and provide a setter method to be able
to update reuse the instance on multiple signatures. Make sign a parameterless
member call. This solution requires interface changes in botan.
**Suggested workaround** for signing large messages is to not sign the message
itself, but to precompute the message hash manually using Botan::HashFunctio
and sign the message hash instead of the message itself.
- Some of the available test vectors for the XMSS signature verification have
been commented out in order to reduce testbench runtime.
37 files changed, 4412 insertions, 1 deletions
diff --git a/src/build-data/policy/bsi.txt b/src/build-data/policy/bsi.txt index 8e6012c64..f1c40c9fa 100644 --- a/src/build-data/policy/bsi.txt +++ b/src/build-data/policy/bsi.txt @@ -40,6 +40,7 @@ ecgdsa ecies eckcdsa ecdh +xmss # rng auto_rng diff --git a/src/lib/asn1/oids.cpp b/src/lib/asn1/oids.cpp index b07e8a8b9..fb2aa0043 100644 --- a/src/lib/asn1/oids.cpp +++ b/src/lib/asn1/oids.cpp @@ -1,7 +1,7 @@ /* * OID maps * -* This file was automatically generated by ./src/scripts/oids.py on 2016-11-03 +* This file was automatically generated by src/scripts/oids.py on 2016-11-06 * * Botan is released under the Simplified BSD License (see license.txt) */ @@ -98,6 +98,7 @@ std::string lookup(const OID& oid) if(oid_str == "1.3.6.1.4.1.11591.12.2") return "Tiger(24,3)"; if(oid_str == "1.3.6.1.4.1.25258.1.3") return "McEliece"; if(oid_str == "1.3.6.1.4.1.25258.1.4") return "Curve25519"; + if(oid_str == "1.3.6.1.4.1.25258.1.5") return "XMSS"; if(oid_str == "1.3.6.1.4.1.25258.3.1") return "Serpent/CBC"; if(oid_str == "1.3.6.1.4.1.25258.3.101") return "Serpent/GCM"; if(oid_str == "1.3.6.1.4.1.25258.3.102") return "Twofish/GCM"; @@ -309,6 +310,7 @@ OID lookup(const std::string& name) if(name == "X520.State") return OID("2.5.4.8"); if(name == "X520.Surname") return OID("2.5.4.4"); if(name == "X520.Title") return OID("2.5.4.12"); + if(name == "XMSS") return OID("1.3.6.1.4.1.25258.1.5"); if(name == "brainpool160r1") return OID("1.3.36.3.3.2.8.1.1.1"); if(name == "brainpool192r1") return OID("1.3.36.3.3.2.8.1.1.3"); if(name == "brainpool224r1") return OID("1.3.36.3.3.2.8.1.1.5"); diff --git a/src/lib/pubkey/pk_algs.cpp b/src/lib/pubkey/pk_algs.cpp index e7d744ae9..7cccd0168 100644 --- a/src/lib/pubkey/pk_algs.cpp +++ b/src/lib/pubkey/pk_algs.cpp @@ -52,6 +52,10 @@ #include <botan/mceliece.h> #endif +#if defined(BOTAN_HAS_XMSS) + #include <botan/xmss.h> +#endif + namespace Botan { std::unique_ptr<Public_Key> @@ -117,6 +121,11 @@ load_public_key(const AlgorithmIdentifier& alg_id, return std::unique_ptr<Public_Key>(new GOST_3410_PublicKey(alg_id, key_bits)); #endif +#if defined(BOTAN_HAS_XMSS) + if(alg_name == "XMSS") + return std::unique_ptr<Public_Key>(new XMSS_PublicKey(key_bits)); +#endif + throw Decoding_Error("Unhandled PK algorithm " + alg_name); } @@ -183,6 +192,11 @@ load_private_key(const AlgorithmIdentifier& alg_id, return std::unique_ptr<Private_Key>(new ElGamal_PrivateKey(alg_id, key_bits)); #endif +#if defined(BOTAN_HAS_XMSS) + if(alg_name == "XMSS") + return std::unique_ptr<Private_Key>(new XMSS_PrivateKey(key_bits)); +#endif + throw Decoding_Error("Unhandled PK algorithm " + alg_name); } @@ -224,6 +238,14 @@ create_private_key(const std::string& alg_name, } #endif +#if defined(BOTAN_HAS_XMSS) + if(alg_name == "XMSS") + { + return std::unique_ptr<Private_Key>( + new XMSS_PrivateKey(XMSS_Parameters(params).oid(), rng)); + } +#endif + // ECC crypto #if defined(BOTAN_HAS_ECC_PUBLIC_KEY_CRYPTO) diff --git a/src/lib/pubkey/xmss/atomic.h b/src/lib/pubkey/xmss/atomic.h new file mode 100644 index 000000000..485728d54 --- /dev/null +++ b/src/lib/pubkey/xmss/atomic.h @@ -0,0 +1,51 @@ +/** + * Atomic + * (C) 2016 Matthias Gierlings + * + * Botan is released under the Simplified BSD License (see license.txt) + **/ + +#ifndef BOTAN_ATOMIC_H__ +#define BOTAN_ATOMIC_H__ + +#include <atomic> +#include <memory> + +namespace Botan { + +template <typename T> +/** + * Simple helper class to expand std::atomic with copy constructor and copy + * assignment operator, i.e. for use as element in a container like + * std::vector. The construction of instances of this wrapper is NOT atomic + * and needs to be properly guarded. + **/ +class Atomic + { + public: + Atomic() : m_data() {}; + Atomic(const Atomic& data) : m_data(data.m_data.load()) {} + Atomic(const std::atomic<T>& data) : m_data(data.load()) {} + + Atomic& operator=(const Atomic& a) + { + m_data.store(a.m_data.load()); + return *this; + } + + Atomic& operator=(const std::atomic<T>& a) + { + m_data.store(a.load()); + return *this; + } + + operator std::atomic<T>& () { return m_data; } + operator T() { return m_data.load(); } + + private: + std::atomic<T> m_data; + }; + +} + +#endif diff --git a/src/lib/pubkey/xmss/info.txt b/src/lib/pubkey/xmss/info.txt new file mode 100644 index 000000000..a92b06beb --- /dev/null +++ b/src/lib/pubkey/xmss/info.txt @@ -0,0 +1,46 @@ +define XMSS 20161008 + +<source> +xmss_common_ops.cpp +xmss_hash.cpp +xmss_index_registry.cpp +xmss_parameters.cpp +xmss_privatekey.cpp +xmss_publickey.cpp +xmss_signature.cpp +xmss_signature_operation.cpp +xmss_tools.cpp +xmss_verification_operation.cpp +xmss_wots_parameters.cpp +xmss_wots_privatekey.cpp +xmss_wots_publickey.cpp +</source> + +<header:public> +atomic.h +xmss.h +xmss_hash.h +xmss_index_registry.h +xmss_address.h +xmss_common_ops.h +xmss_parameters.h +xmss_key_pair.h +xmss_privatekey.h +xmss_publickey.h +xmss_tools.h +xmss_wots_parameters.h +xmss_wots_privatekey.h +xmss_wots_publickey.h +</header:public> + +<header:internal> +xmss_signature.h +xmss_signature_operation.h +xmss_verification_operation.h +</header:internal> + +<requires> +asn1 +rng +hash +</requires> diff --git a/src/lib/pubkey/xmss/xmss.h b/src/lib/pubkey/xmss/xmss.h new file mode 100644 index 000000000..f12871672 --- /dev/null +++ b/src/lib/pubkey/xmss/xmss.h @@ -0,0 +1,15 @@ +/** + * XMSS + * Includes XMSS headers. + * (C) 2016 Matthias Gierlings + * + * Botan is released under the Simplified BSD License (see license.txt) + **/ + +#ifndef BOTAN_XMSS_H__ +#define BOTAN_XMSS_H__ + +#include <botan/xmss_publickey.h> +#include <botan/xmss_privatekey.h> + +#endif diff --git a/src/lib/pubkey/xmss/xmss_address.h b/src/lib/pubkey/xmss/xmss_address.h new file mode 100644 index 000000000..438059cba --- /dev/null +++ b/src/lib/pubkey/xmss/xmss_address.h @@ -0,0 +1,409 @@ +/** + * XMSS Address + * (C) 2016 Matthias Gierlings + * + * Botan is released under the Simplified BSD License (see license.txt) + **/ + +#ifndef BOTAN_XMSS_ADDRESS_H__ +#define BOTAN_XMSS_ADDRESS_H__ + +#include <cstdint> +#include <limits> +#include <botan/xmss_tools.h> + +namespace Botan { + +/** + * Generic XMSS Address type holding 256 Bits of data. Properties + * of all three address formats L-Tree-Address, Hash-Tree-Address, + * OTS-Hash-Address can be called depending on the type currently + * assigned to the XMSS address using set_type(). + **/ +class XMSS_Address + { + public: + /** + * Distinct types an XMSS_Address can represent. The available types + * are specified in [1] - 2.5 Hash Function Address Scheme. + **/ + enum class Type : uint8_t + { + None = 255, + OTS_Hash_Address = 0, + LTree_Address = 1, + Hash_Tree_Address = 2 + }; + + /** + * The available modes for an XMSS Address: + * - Key_Mode: Used to generate the key. + * - Mask_Mode: Sets the n-byte bitmask (OTS-Hash-Address) + * - Mask_MSB_Mode: Used to generate the b most significant bytes of + * the 2n-byte bitmask (LTree Address and Hash Tree Address). + * - Mask_LSB_Mode: Used to generated the b least significant bytes + * of the 2n-byte bitmask. (LTree Address and Hash Tree Address). + **/ + enum class Key_Mask : uint8_t + { + Key_Mode = 0, + Mask_Mode = 1, + Mask_MSB_Mode = 1, + Mask_LSB_Mode = 2 + }; + + /** + * Layer Address for XMSS is constantly zero and can not be changed this + * property is only of relevance to XMSS_MT. + * + * @return Layer address, which is constant 0 for XMSS. + **/ + uint8_t get_layer_addr() const { return 0; } + + /** + * Layer Address for XMSS is constantly zero and can not be changed this + * property is only of relevance to XMSS_MT. Calling this method for + * XMSS will result in an error. + **/ + void set_layer_addr() + { + BOTAN_ASSERT(false, "Only available in XMSS_MT."); + } + + /** + * Tree Address for XMSS is constantly zero and can not be changed this + * property is only of relevance to XMSS_MT. + * + * @return Tree address, which is constant 0 for XMSS. + **/ + uint64_t get_tree_addr() const { return 0; } + + /** + * Tree Address for XMSS is constantly zero and can not be changed this + * property is only of relevance to XMSS_MT. Calling this method for + * XMSS will result in an error. + **/ + void set_tree_addr() + { + BOTAN_ASSERT(false, "Only available in XMSS_MT."); + } + + /** + * retrieves the logical type currently assigned to the XMSS Address + * instance. + * + * @return Type of the address (OTS_Hash_Address, LTree_Address or + * Hash_Tree_Address) + **/ + Type get_type() const + { + return static_cast<Type>(m_data[15]); + } + + /** + * Changes the logical type currently assigned to the XMSS Address + * instance. Please note that changing the type will automatically + * reset the 128 LSBs of the Address to zero. This affects the + * key_mask_mode property as well as all properties identified by + * XMSS_Address::Property. + * + * @param type Type that shall be assigned to the address + * (OTS_Hash_Address, LTree_Address or Hash_Tree_Address) + **/ + void set_type(Type type) + { + m_data[15] = static_cast<byte>(type); + std::fill(m_data.begin() + 16, m_data.end(), 0); + } + + /** + * Retrieves the mode the address os currently set to. (See + * XMSS_Address::Key_Mask for details.) + * + * @return currently active mode + **/ + Key_Mask get_key_mask_mode() const + { + return Key_Mask(m_data[31]); + } + + /** + * Changes the mode the address currently used address mode. + * (XMSS_Address::Key_Mask for details.) + * + * @param value Target mode. + **/ + void set_key_mask_mode(Key_Mask value) + { + BOTAN_ASSERT(value != Key_Mask::Mask_LSB_Mode || + get_type() != Type::OTS_Hash_Address, + "Invalid Key_Mask for current XMSS_Address::Type."); + m_data[31] = static_cast<byte>(value); + } + + /** + * Retrieve the index of the OTS key pair within the tree. A call to + * this method is only valid, if the address type is set to + * Type::OTS_Hash_Address. + * + * @return index of OTS key pair. + **/ + uint32_t get_ots_address() const + { + BOTAN_ASSERT(get_type() == Type::OTS_Hash_Address, + "get_ots_address() requires XMSS_Address::Type::" + "OTS_Hash_Address."); + return get_hi32(2); + } + + /** + * Sets the index of the OTS key pair within the tree. A call to this + * method is only valid, if the address type is set to + * Type::OTS_Hash_Address. + * + * @param value index of OTS key pair. + **/ + void set_ots_address(uint32_t value) + { + BOTAN_ASSERT(get_type() == Type::OTS_Hash_Address, + "set_ots_address() requires XMSS_Address::Type::" + "OTS_Hash_Address."); + set_hi32(2, value); + } + + /** + * Retrieves the index of the leaf computed with this LTree. A call to + * this method is only valid, if the address type is set to + * Type::LTree_Address. + * + * @return index of the leaf. + **/ + uint32_t get_ltree_address() const + { + BOTAN_ASSERT(get_type() == Type::LTree_Address, + "set_ltree_address() requires XMSS_Address::Type::" + "LTree_Address."); + return get_hi32(2); + } + + /** + * Sets the index of the leaf computed with this LTree. A call to this + * method is only valid, if the address type is set to + * Type::LTree_Address. + * + * @param value index of the leaf. + **/ + void set_ltree_address(uint32_t value) + { + BOTAN_ASSERT(get_type() == Type::LTree_Address, + "set_ltree_address() requires XMSS_Address::Type::" + "LTree_Address."); + set_hi32(2, value); + } + + /** + * Retrieve the chain address. A call to this method is only valid, if + * the address type is set to Type::OTS_Hash_Address. + * + * @return chain address. + **/ + uint32_t get_chain_address() const + { + BOTAN_ASSERT(get_type() == Type::OTS_Hash_Address, + "get_chain_address() requires XMSS_Address::Type::" + "OTS_Hash_Address."); + return get_lo32(2); + } + + /** + * Set the chain address. A call to this method is only valid, if + * the address type is set to Type::OTS_Hash_Address. + * + * @return chain address. + **/ + void set_chain_address(uint32_t value) + { + BOTAN_ASSERT(get_type() == Type::OTS_Hash_Address, + "set_chain_address() requires XMSS_Address::Type::" + "OTS_Hash_Address."); + set_lo32(2, value); + } + + /** + * Retrieves the height of the tree node to be computed within the + * tree. A call to this method is only valid, if the address type is + * set to Type::LTree_Address or Type::Hash_Tree_Address. + * + * @return height of the tree node. + **/ + uint32_t get_tree_height() const + { + BOTAN_ASSERT(get_type() == Type::LTree_Address || + get_type() == Type::Hash_Tree_Address, + "get_tree_height() requires XMSS_Address::Type::" + "LTree_Address or XMSS_Address::Type::Hash_Tree_Address."); + return get_lo32(2); + } + + /** + * Sets the height of the tree node to be computed within the + * tree. A call to this method is only valid, if the address type is + * set to Type::LTree_Address or Type::Hash_Tree_Address. + * + * @param value height of the tree node. + **/ + void set_tree_height(uint32_t value) + { + BOTAN_ASSERT(get_type() == Type::LTree_Address || + get_type() == Type::Hash_Tree_Address, + "set_tree_height() requires XMSS_Address::Type::" + "LTree_Address or XMSS_Address::Type::Hash_Tree_Address."); + set_lo32(2, value); + } + + /** + * Retrieves the address of the hash function call within the chain. + * A call to this method is only valid, if the address type is + * set to Type::OTS_Hash_Address. + * + * @return address of the hash function call within chain. + **/ + uint32_t get_hash_address() const + { + BOTAN_ASSERT(get_type() == Type::OTS_Hash_Address, + "get_hash_address() requires XMSS_Address::Type::" + "OTS_Hash_Address."); + return get_hi32(3); + } + + /** + * Sets the address of the hash function call within the chain. + * A call to this method is only valid, if the address type is + * set to Type::OTS_Hash_Address. + * + * @param value address of the hash function call within chain. + **/ + void set_hash_address(uint32_t value) + { + BOTAN_ASSERT(get_type() == Type::OTS_Hash_Address, + "set_hash_address() requires XMSS_Address::Type::" + "OTS_Hash_Address."); + set_hi32(3, value); + } + + /** + * Retrieves the index of the tree node at current tree height in the + * tree. A call to this method is only valid, if the address type is + * set to Type::LTree_Address or Type::Hash_Tree_Address. + * + * @return index of the tree node at current height. + **/ + uint32_t get_tree_index() const + { + BOTAN_ASSERT(get_type() == Type::LTree_Address || + get_type() == Type::Hash_Tree_Address, + "get_tree_index() requires XMSS_Address::Type::" + "LTree_Address or XMSS_Address::Type::Hash_Tree_Address."); + return get_hi32(3); + } + + /** + * Sets the index of the tree node at current tree height in the + * tree. A call to this method is only valid, if the address type is + * set to Type::LTree_Address or Type::Hash_Tree_Address. + * + * @param value index of the tree node at current height. + **/ + void set_tree_index(uint32_t value) + { + BOTAN_ASSERT(get_type() == Type::LTree_Address || + get_type() == Type::Hash_Tree_Address, + "set_tree_index() requires XMSS_Address::Type::" + "LTree_Address or XMSS_Address::Type::Hash_Tree_Address."); + set_hi32(3, value); + } + + const secure_vector<byte>& bytes() const + { + return m_data; + } + + secure_vector<byte>& bytes() + { + return m_data; + } + + /** + * @return the size of an XMSS_Address + **/ + size_t size() const + { + return m_data.size(); + } + + XMSS_Address() + : m_data(m_address_size) + { + set_type(Type::None); + } + + XMSS_Address(Type type) + : m_data(m_address_size) + { + set_type(type); + } + + XMSS_Address(const secure_vector<byte>& data) : m_data(data) + { + BOTAN_ASSERT(m_data.size() == m_address_size, + "XMSS_Address must be of 256 bits size."); + } + + XMSS_Address(secure_vector<byte>&& data) : m_data(std::move(data)) + { + BOTAN_ASSERT(m_data.size() == m_address_size, + "XMSS_Address must be of 256 bits size."); + } + + protected: + secure_vector<byte> m_data; + + private: + static const size_t m_address_size = 32; + + inline uint32_t get_hi32(size_t offset) const + { + return ((0x000000FF & m_data[8 * offset + 3]) | + (0x000000FF & m_data[8 * offset + 2]) << 8 | + (0x000000FF & m_data[8 * offset + 1]) << 16 | + (0x000000FF & m_data[8 * offset ]) << 24); + } + + inline void set_hi32(size_t offset, uint32_t value) + { + m_data[offset * 8 ] = ((value >> 24) & 0xFF); + m_data[offset * 8 + 1] = ((value >> 16) & 0xFF); + m_data[offset * 8 + 2] = ((value >> 8) & 0xFF); + m_data[offset * 8 + 3] = ((value ) & 0xFF); + } + + inline uint32_t get_lo32(size_t offset) const + { + return ((0x000000FF & m_data[8 * offset + 7]) | + (0x000000FF & m_data[8 * offset + 6]) << 8 | + (0x000000FF & m_data[8 * offset + 5]) << 16 | + (0x000000FF & m_data[8 * offset + 4]) << 24); + } + + inline void set_lo32(size_t offset, uint32_t value) + { + m_data[offset * 8 + 4] = ((value >> 24) & 0xFF); + m_data[offset * 8 + 5] = ((value >> 16) & 0xFF); + m_data[offset * 8 + 6] = ((value >> 8) & 0xFF); + m_data[offset * 8 + 7] = ((value ) & 0xFF); + } + }; + +} + +#endif diff --git a/src/lib/pubkey/xmss/xmss_common_ops.cpp b/src/lib/pubkey/xmss/xmss_common_ops.cpp new file mode 100644 index 000000000..dd139a349 --- /dev/null +++ b/src/lib/pubkey/xmss/xmss_common_ops.cpp @@ -0,0 +1,70 @@ +/** + * XMSS Common Ops + * Operations shared by XMSS signature generation and verification operations. + * (C) 2016 Matthias Gierlings + * + * Botan is released under the Simplified BSD License (see license.txt) + **/ + +#include <botan/xmss_common_ops.h> + +namespace Botan { + +void +XMSS_Common_Ops::randomize_tree_hash(secure_vector<byte>& result, + const secure_vector<byte>& left, + const secure_vector<byte>& right, + XMSS_Address& adrs, + const secure_vector<byte>& seed) + { + adrs.set_key_mask_mode(XMSS_Address::Key_Mask::Key_Mode); + secure_vector<byte> key { m_hash.prf(seed, adrs.bytes()) }; + + adrs.set_key_mask_mode(XMSS_Address::Key_Mask::Mask_MSB_Mode); + secure_vector<byte> bitmask_l { m_hash.prf(seed, adrs.bytes()) }; + + adrs.set_key_mask_mode(XMSS_Address::Key_Mask::Mask_LSB_Mode); + secure_vector<byte> bitmask_r { m_hash.prf(seed, adrs.bytes()) }; + + BOTAN_ASSERT(bitmask_l.size() == left.size() && + bitmask_r.size() == right.size(), + "Bitmask size doesn't match node size."); + + secure_vector<byte> concat_xor(m_xmss_params.element_size() * 2); + for(size_t i = 0; i < left.size(); i++) + { + concat_xor[i] = left[i] ^ bitmask_l[i]; + concat_xor[i + left.size()] = right[i] ^ bitmask_r[i]; + } + + m_hash.h(result, key, concat_xor); + } + + +void +XMSS_Common_Ops::create_l_tree(secure_vector<byte>& result, + wots_keysig_t pk, + XMSS_Address& adrs, + const secure_vector<byte>& seed) + { + size_t l = m_xmss_params.len(); + adrs.set_tree_height(0); + + while(l > 1) + { + for(size_t i = 0; i < l >> 1; i++) + { + adrs.set_tree_index(i); + randomize_tree_hash(pk[i], pk[2 * i], pk[2 * i + 1], adrs, seed); + } + if(l & 0x01) + { + pk[l >> 1] = pk[l - 1]; + } + l = (l >> 1) + (l & 0x01); + adrs.set_tree_height(adrs.get_tree_height() + 1); + } + result = pk[0]; + } + +} diff --git a/src/lib/pubkey/xmss/xmss_common_ops.h b/src/lib/pubkey/xmss/xmss_common_ops.h new file mode 100644 index 000000000..74ae52a78 --- /dev/null +++ b/src/lib/pubkey/xmss/xmss_common_ops.h @@ -0,0 +1,75 @@ +/** + * XMSS Common Ops + * (C) 2016 Matthias Gierlings + * + * Botan is released under the Simplified BSD License (see license.txt) + **/ + +#ifndef BOTAN_XMSS_COMMON_OPS_H__ +#define BOTAN_XMSS_COMMON_OPS_H__ + +#include <vector> +#include <botan/secmem.h> +#include <botan/assert.h> +#include <botan/xmss_parameters.h> +#include <botan/xmss_address.h> +#include <botan/xmss_hash.h> + +namespace Botan { + +typedef std::vector<secure_vector<byte>> wots_keysig_t; + +/** + * Operations shared by XMSS signature generation and verification operations. + **/ +class XMSS_Common_Ops + { + public: + XMSS_Common_Ops(XMSS_Parameters::xmss_algorithm_t oid) + : m_xmss_params(oid), m_hash(m_xmss_params.hash_function_name()) {}; + + protected: + /** + * Algorithm 7: "RAND_HASH" + * + * Generates a randomized hash. + * + * @param[out] result The resulting randomized hash. + * @param[in] left Left half of the hash function input. + * @param[in] right Right half of the hash function input. + * @param[in] adrs Adress of the hash function call. + * @param[in] seed The seed for G. + **/ + void randomize_tree_hash( + secure_vector<byte>& result, + const secure_vector<byte>& left, + const secure_vector<byte>& right, + XMSS_Address& adrs, + const secure_vector<byte>& seed); + + /** + * Algorithm 8: "ltree" + * Create an L-tree used to compute the leaves of the binary hash tree. + * Takes a WOTS+ public key and compresses it to a single n-byte value. + * + * @param[out] result Public key compressed to a single n-byte value + * pk[0]. + * @param[in] pk Winternitz One Time Signatures+ public key. + * @param[in] adrs Address encoding the address of the L-Tree + * @param[in] seed The seed generated during the public key generation. + **/ + void create_l_tree( + secure_vector<byte>& result, + wots_keysig_t pk, + XMSS_Address& adrs, + const secure_vector<byte>& seed); + + protected: + XMSS_Parameters m_xmss_params; + XMSS_Hash m_hash; + + }; + +} + +#endif diff --git a/src/lib/pubkey/xmss/xmss_hash.cpp b/src/lib/pubkey/xmss/xmss_hash.cpp new file mode 100644 index 000000000..15cdab509 --- /dev/null +++ b/src/lib/pubkey/xmss/xmss_hash.cpp @@ -0,0 +1,88 @@ +/** + * XMSS Hash + * A collection of pseudorandom hash functions required for XMSS and WOTS + * computations. + * (C) 2016 Matthias Gierlings + * + * Botan is released under the Simplified BSD License (see license.txt) + **/ + +#include <botan/xmss_hash.h> + +namespace Botan { + +XMSS_Hash::XMSS_Hash(const XMSS_Hash& hash) + : XMSS_Hash(hash.m_hash_func_name) + { + } + +XMSS_Hash::XMSS_Hash(const std::string& h_func_name) + : m_hash(HashFunction::create(h_func_name)), + m_msg_hash(HashFunction::create(h_func_name)), + m_output_length(m_hash->output_length()), + m_zero_padding(m_output_length - 1, 0x00), + m_hash_func_name(h_func_name) + { + BOTAN_ASSERT(m_output_length > 0, "Hash output length of zero is invalid."); + } + +void +XMSS_Hash::h(secure_vector<byte>& result, + const secure_vector<byte>& key, + const secure_vector<byte>& data) + { + m_hash->update(m_zero_padding); + m_hash->update(m_id_h); + m_hash->update(key); + m_hash->update(data); + m_hash->final(result); + } + +void XMSS_Hash::h_msg_init(const secure_vector<byte>& randomness, + const secure_vector<byte>& root, + const secure_vector<byte>& index_bytes) + { + m_msg_hash->clear(); + m_msg_hash->update(m_zero_padding); + m_msg_hash->update(m_id_hmsg); + m_msg_hash->update(randomness); + m_msg_hash->update(root); + m_msg_hash->update(index_bytes); + } + +void XMSS_Hash::h_msg_update(const secure_vector<byte>& data) + { + m_msg_hash->update(data); + } + +void XMSS_Hash::h_msg_update(const byte data[], size_t size) + { + m_msg_hash->update(data, size); + } + +secure_vector<byte> XMSS_Hash::h_msg_final() + { + return m_msg_hash->final(); + } + +secure_vector<byte> +XMSS_Hash::h_msg(const secure_vector<byte>& randomness, + const secure_vector<byte>& root, + const secure_vector<byte>& index_bytes, + const secure_vector<byte>& data) + { + h_msg_init(randomness, root, index_bytes); + m_msg_hash->update(data); + return m_msg_hash->final(); + } + +XMSS_Hash& XMSS_Hash::operator=(XMSS_Hash hash) + { + std::swap(m_hash, hash.m_hash); + std::swap(m_msg_hash, hash.m_msg_hash); + std::swap(m_output_length, hash.m_output_length); + std::swap(m_zero_padding, hash.m_zero_padding); + return *this; + } + +} diff --git a/src/lib/pubkey/xmss/xmss_hash.h b/src/lib/pubkey/xmss/xmss_hash.h new file mode 100644 index 000000000..da059fb7b --- /dev/null +++ b/src/lib/pubkey/xmss/xmss_hash.h @@ -0,0 +1,166 @@ +/** + * XMSS Hash + * (C) 2016 Matthias Gierlings + * + * Botan is released under the Simplified BSD License (see license.txt) + **/ + +#ifndef BOTAN_XMSS_HASH_H__ +#define BOTAN_XMSS_HASH_H__ + +#include <cstddef> +#include <string> +#include <botan/assert.h> +#include <botan/hash.h> +#include <botan/secmem.h> +#include <botan/types.h> + +namespace Botan { + +/** + * A collection of pseudorandom hash functions required for XMSS and WOTS + * computations. + **/ +class XMSS_Hash + { + public: + XMSS_Hash(const std::string& h_func_name); + XMSS_Hash(const XMSS_Hash& hash); + XMSS_Hash& operator=(XMSS_Hash hash); + + /** + * Pseudoranom function creating a hash out of a key and data using + * a cryptographic hash function. + * + * @param[out] result The hash calculated using key and data. + * @param[in] key An n-byte key value. + * @param[in] data A 32-byte XMSS_Address data value + **/ + inline void prf(secure_vector<byte>& result, + const secure_vector<byte>& key, + const secure_vector<byte>& data) + { + m_hash->update(m_zero_padding); + m_hash->update(m_id_prf); + m_hash->update(key); + m_hash->update(data); + m_hash->final(result); + } + + /** + * Pseudoranom function creating a hash out of a key and data using + * a cryptographic hash function. + * + * @param[in] key An n-byte key value. + * @param[in] data A 32-byte XMSS_Address data value + * @return result The hash calculated using key and data. + **/ + inline secure_vector<byte> prf(const secure_vector<byte>& key, + const secure_vector<byte>& data) + { + m_hash->update(m_zero_padding); + m_hash->update(m_id_prf); + m_hash->update(key); + m_hash->update(data); + return m_hash->final(); + } + + /** + * F is a keyed cryptographic hash function used by the WOTS+ algorithm. + * + * @param[out] result The hash calculated using key and data. + * @param[in] key key of length n bytes. + * @param[in] data string of arbitrary length. + **/ + void f(secure_vector<byte>& result, + const secure_vector<byte>& key, + const secure_vector<byte>& data) + { + m_hash->update(m_zero_padding); + m_hash->update(m_id_f); + m_hash->update(key); + m_hash->update(data); + m_hash->final(result); + } + + /** + * Cryptographic hash function h accepting n byte keys and 2n byte + * strings of data. + * + * @param[out] result The hash calculated using key and data. + * @param[in] key key of length n bytes. + * @param[in] data string of 2n bytes length. + **/ + void h(secure_vector<byte>& result, + const secure_vector<byte>& key, + const secure_vector<byte>& data); + + /** + * Cryptographic hash function h accepting 3n byte keys and data + * strings of arbitrary length. + * + * @param randomness n-byte value. + * @param root n-byte root node. + * @param index_bytes Index value padded with leading zeros. + * @param data string of arbitrary length. + * + * @return hash value of n-bytes length. + **/ + secure_vector<byte> h_msg(const secure_vector<byte>& randomness, + const secure_vector<byte>& root, + const secure_vector<byte>& index_bytes, + const secure_vector<byte>& data); + + /** + * Initializes buffered h_msg computation with prefix data. + * + * @param randomness random n-byte value. + * @param root n-byte root node. + * @param index_bytes Index value padded with leading zeros. + **/ + void h_msg_init(const secure_vector<byte>& randomness, + const secure_vector<byte>& root, + const secure_vector<byte>& index_bytes); + + /** + * Adds a message block to buffered h_msg computation. + * + * @param data A message block + **/ + void h_msg_update(const secure_vector<byte>& data); + + /** + * Adds a message block to buffered h_msg computation. + * + * @param data A message block + * @param size Length of the message block in bytes. + **/ + void h_msg_update(const byte data[], size_t size); + + /** + * Finalizes buffered h_msg computation and retrieves the result. + * + * @return Hash calculated using the prefix set by h_msg_init() and + * message blocks provided through calls to h_msg_update(). + **/ + secure_vector<byte> h_msg_final(); + + size_t output_length() const { return m_output_length; }; + + private: + std::unique_ptr<HashFunction> m_hash; + std::unique_ptr<HashFunction> m_msg_hash; + size_t m_output_length; + + //32 byte id prefixes prepended to the hash input. + std::vector<byte> m_zero_padding; + static const byte m_id_f = 0x00; + static const byte m_id_h = 0x01; + static const byte m_id_hmsg = 0x02; + static const byte m_id_prf = 0x03; + const std::string m_hash_func_name; + }; + +} + +#endif diff --git a/src/lib/pubkey/xmss/xmss_index_registry.cpp b/src/lib/pubkey/xmss/xmss_index_registry.cpp new file mode 100644 index 000000000..f7f4ec470 --- /dev/null +++ b/src/lib/pubkey/xmss/xmss_index_registry.cpp @@ -0,0 +1,82 @@ +/** + * XMSS Index Registry + * A registry for XMSS private keys, keeps track of the leaf index for + * independend copies of the same key. + * (C) 2016 Matthias Gierlings + * + * Botan is released under the Simplified BSD License (see license.txt) + **/ + +#include <botan/xmss_index_registry.h> + +namespace Botan { + +const std::string XMSS_Index_Registry::m_index_hash_function = "SHA-256"; + +uint64_t XMSS_Index_Registry::make_key_id( + const secure_vector<byte>& private_seed, + const secure_vector<byte>& prf) const + { + std::unique_ptr<HashFunction> hash = + HashFunction::create(m_index_hash_function); + BOTAN_ASSERT(hash != nullptr, "XMSS_Index_Registry requires SHA-256"); + hash->update(private_seed); + hash->update(prf); + secure_vector<byte> result = hash->final(); + uint64_t key_id = 0; + for(size_t i = 0; i < sizeof(key_id); i++) + { + key_id = ((key_id << 8) | result[i]); + } + + return key_id; + } + +std::shared_ptr<Atomic<size_t>> +XMSS_Index_Registry::get(const secure_vector<byte>& private_seed, + const secure_vector<byte>& prf) + { + size_t pos = get(make_key_id(private_seed, prf)); + + if(pos < std::numeric_limits<size_t>::max()) + { + return m_leaf_indices[pos]; + } + else + { + return m_leaf_indices[add(make_key_id(private_seed, prf))]; + } + } + +size_t XMSS_Index_Registry::get(uint64_t id) const + { + for(size_t i = 0; i < m_key_ids.size(); i++) + { + if(m_key_ids[i] == id) + { + return i; + } + } + + return std::numeric_limits<size_t>::max(); + } + +size_t XMSS_Index_Registry::add(uint64_t id, size_t last_unused) + { + std::lock_guard<std::mutex> lock(m_mutex); + size_t pos = get(id); + if(pos < m_key_ids.size()) + { + if(last_unused > *(m_leaf_indices[pos])) + { + m_leaf_indices[pos] = std::make_shared<Atomic<size_t>>(last_unused); + } + return pos; + } + + m_key_ids.push_back(id); + m_leaf_indices.push_back(std::make_shared<Atomic<size_t>>(last_unused)); + return m_key_ids.size() - 1; + } + +} diff --git a/src/lib/pubkey/xmss/xmss_index_registry.h b/src/lib/pubkey/xmss/xmss_index_registry.h new file mode 100644 index 000000000..5dcb6d31b --- /dev/null +++ b/src/lib/pubkey/xmss/xmss_index_registry.h @@ -0,0 +1,109 @@ +/** + * XMSS Index Registry + * (C) 2016 Matthias Gierlings + * + * Botan is released under the Simplified BSD License (see license.txt) + **/ + +#ifndef BOTAN_XMSS_INDEX_REGISTRY_H__ +#define BOTAN_XMSS_INDEX_REGISTRY_H__ + +#include <stdint.h> +#include <cstddef> +#include <limits> +#include <memory> +#include <mutex> +#include <string> +#include <botan/hash.h> +#include <botan/secmem.h> +#include <botan/types.h> +#include <botan/atomic.h> + +namespace Botan { + +/** + * A registry for XMSS private keys, keeps track of the leaf index for + * independend copies of the same key. + **/ +class XMSS_Index_Registry + { + public: + XMSS_Index_Registry(const XMSS_Index_Registry&) = delete; + XMSS_Index_Registry& operator=(const XMSS_Index_Registry&) = delete; + + /** + * Retrieves a handle to the process-wide unique XMSS index registry. + * + * @return Reference to unique XMSS index registry. + **/ + static XMSS_Index_Registry& get_instance() + { + static XMSS_Index_Registry self; + return self; + } + + /** + * Retrieves the last unused leaf index for the private key identified + * by private_seed and prf. The leaf index will be updated properly + * across independent copies of private_key. + * + * @param private_seed Part of the unique identifier for an + * XMSS_PrivateKey. + * @param prf Part of the unique identifier for an XMSS_PrivateKey. + * + * @return last unused leaf index for private_key. + **/ + std::shared_ptr<Atomic<size_t>> + get(const secure_vector<byte>& private_seed, + const secure_vector<byte>& prf); + + private: + XMSS_Index_Registry() + : m_key_ids(), m_leaf_indices(), m_mutex() {} + + static const std::string m_index_hash_function; + + /** + * Creates a unique 64-bit id for an XMSS_Private key, by interpreting + * the first 64-bit of HASH(PRIVATE_SEED || PRF) as 64 bit integer + * value. + * + * @return unique integral identifier for an XMSS private key. + **/ + uint64_t make_key_id(const secure_vector<byte>& private_seed, + const secure_vector<byte>& prf) const; + + /** + * Retrieves the index position of a key within the registry or + * max(size_t) if key has not been found. + * + * @param unique id of the XMSS private key (see make_key_id()). + * + * @return index position of key or max(size_t) if key not found. + **/ + size_t get(uint64_t id) const; + + /** + * If XMSS_PrivateKey identified by id is already registered, the + * position of the according registry entry is returned. If last_unused + * is bigger than the last unused index stored for the key identified by + * id the unused leaf index for this key is set to last_unused. If no key + * matching id is registed yet, an entry of id is added, with the last + * unused leaf index initialized to the value of last_unused. + * + * @last_unused Initial value for the last unused leaf index of the + * registered key. + * + * @return positon of leaf index registry entry for key identified + * by id. + **/ + size_t add(uint64_t id, size_t last_unused = 0); + + std::vector<uint64_t> m_key_ids; + std::vector<std::shared_ptr<Atomic<size_t>>> m_leaf_indices; + std::mutex m_mutex; + }; + +} + +#endif diff --git a/src/lib/pubkey/xmss/xmss_key_pair.h b/src/lib/pubkey/xmss/xmss_key_pair.h new file mode 100644 index 000000000..4d86f1766 --- /dev/null +++ b/src/lib/pubkey/xmss/xmss_key_pair.h @@ -0,0 +1,52 @@ +/** + * XMSS Key Pair + * (C) 2016 Matthias Gierlings + * + * Botan is released under the Simplified BSD License (see license.txt) + **/ + +#ifndef BOTAN_XMSS_KEY_PAIR_H__ +#define BOTAN_XMSS_KEY_PAIR_H__ + +#include <botan/botan.h> +#include <botan/rng.h> +#include <botan/xmss_parameters.h> +#include <botan/xmss_wots_parameters.h> +#include <botan/xmss_publickey.h> +#include <botan/xmss_privatekey.h> + +namespace Botan { + +/** + * A pair of XMSS public and private key. + **/ +class BOTAN_DLL XMSS_Key_Pair + { + public: + XMSS_Key_Pair(XMSS_Parameters::xmss_algorithm_t xmss_oid, + RandomNumberGenerator& rng) + : m_priv_key(xmss_oid, rng), m_pub_key(m_priv_key) {} + + XMSS_Key_Pair(const XMSS_PublicKey& pub_key, + const XMSS_PrivateKey& priv_key) + : m_priv_key(priv_key), m_pub_key(pub_key) + {} + + XMSS_Key_Pair(XMSS_PublicKey&& pub_key, + XMSS_PrivateKey&& priv_key) + : m_priv_key(std::move(priv_key)), m_pub_key(std::move(pub_key)) {} + + const XMSS_PublicKey& public_key() const { return m_pub_key; } + XMSS_PublicKey& public_key() { return m_pub_key; } + + const XMSS_PrivateKey& private_key() const { return m_priv_key; } + XMSS_PrivateKey& private_key() { return m_priv_key; } + + private: + XMSS_PrivateKey m_priv_key; + XMSS_PublicKey m_pub_key; + }; + +} + +#endif diff --git a/src/lib/pubkey/xmss/xmss_parameters.cpp b/src/lib/pubkey/xmss/xmss_parameters.cpp new file mode 100644 index 000000000..5a106320b --- /dev/null +++ b/src/lib/pubkey/xmss/xmss_parameters.cpp @@ -0,0 +1,179 @@ +/** + * XMSS Parameters + * Descibes a signature method for XMSS, as defined in: + * [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 Matthias Gierlings + * + * Botan is released under the Simplified BSD License (see license.txt) + **/ + +#include <botan/xmss_parameters.h> + +namespace Botan { + +const std::map<std::string, XMSS_Parameters::xmss_algorithm_t> + XMSS_Parameters::m_oid_name_lut = + { + { "XMSS_SHA2-256_W16_H10", XMSS_SHA2_256_W16_H10 }, + { "XMSS_SHA2-256_W16_H16", XMSS_SHA2_256_W16_H16 }, + { "XMSS_SHA2-256_W16_H20", XMSS_SHA2_256_W16_H20 }, + { "XMSS_SHA2-512_W16_H10", XMSS_SHA2_512_W16_H10 }, + { "XMSS_SHA2-512_W16_H16", XMSS_SHA2_512_W16_H16 }, + { "XMSS_SHA2-512_W16_H20", XMSS_SHA2_512_W16_H20 } +// { "XMSS_SHAKE128_W16_H10", xmss_algorithm_t::XMSS_SHAKE128_W16_H10 }, +// { "XMSS_SHAKE128_W16_H16", xmss_algorithm_t::XMSS_SHAKE128_W16_H16 }, +// { "XMSS_SHAKE128_W16_H20", xmss_algorithm_t::XMSS_SHAKE128_W16_H20 }, +// { "XMSS_SHAKE256_W16_H10", xmss_algorithm_t::XMSS_SHAKE256_W16_H10 }, +// { "XMSS_SHAKE256_W16_H16", xmss_algorithm_t::XMSS_SHAKE256_W16_H16 }, +// { "XMSS_SHAKE256_W16_H20", xmss_algorithm_t::XMSS_SHAKE256_W16_H20 } + }; + +XMSS_Parameters::XMSS_Parameters(const std::string& algo_name) + : XMSS_Parameters(m_oid_name_lut.at(algo_name)) + {} + +XMSS_Parameters::XMSS_Parameters(xmss_algorithm_t oid) + : m_oid(oid) + { + switch(oid) + { + case XMSS_SHA2_256_W16_H10: + m_element_size = 32; + m_w = 16; + m_len = 67; + m_tree_height = 10; + m_name = "XMSS_SHA2-256_W16_H10"; + m_hash_name = "SHA-256"; + m_strength = 256; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHA2_256_W16; + break; + case XMSS_SHA2_256_W16_H16: + m_element_size = 32; + m_w = 16; + m_len = 67; + m_tree_height = 16; + m_name = "XMSS_SHA2-256_W16_H16"; + m_hash_name = "SHA-256"; + m_strength = 256; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHA2_256_W16; + break; + case XMSS_SHA2_256_W16_H20: + m_element_size = 32; + m_w = 16; + m_len = 67; + m_tree_height = 20; + m_name = "XMSS_SHA2-256_W16_H20"; + m_hash_name = "SHA-256"; + m_strength = 256; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHA2_256_W16; + break; + case XMSS_SHA2_512_W16_H10: + m_element_size = 64; + m_w = 16; + m_len = 131; + m_tree_height = 10; + m_name = "XMSS_SHA2-512_W16_H10"; + m_hash_name = "SHA-512"; + m_strength = 512; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHA2_512_W16; + break; + case XMSS_SHA2_512_W16_H16: + m_element_size = 64; + m_w = 16; + m_len = 131; + m_tree_height = 16; + m_name = "XMSS_SHA2-512_W16_H16"; + m_hash_name = "SHA-512"; + m_strength = 512; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHA2_512_W16; + break; + case XMSS_SHA2_512_W16_H20: + m_element_size = 64; + m_w = 16; + m_len = 131; + m_tree_height = 20; + m_name = "XMSS_SHA2-512_W16_H20"; + m_hash_name = "SHA-512"; + m_strength = 512; + m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHA2_512_W16; + break; +// FIXME: Uncomment once SHAKE128/256 implementation is available in Botan. +// case XMSS_SHAKE128_W16_H10: +// m_element_size = 32; +// m_w = 16; +// m_len = 67; +// m_tree_height = 10; +// m_name = "XMSS_SHAKE128_W16_H10"; +// m_hash_name = ""; +// m_strength = 256; +// m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHAKE128_W16; +// BOTAN_ASSERT(false, "XMSS_SHAKE128_W16_H10 not implemented."); +// break; +// case XMSS_SHAKE128_W16_H16: +// m_element_size = 32; +// m_w = 16; +// m_len = 67; +// m_tree_height = 16; +// m_name = "XMSS_SHAKE128_W16_H16"; +// m_hash_name = ""; +// m_strength = 256; +// m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHAKE128_W16; +// BOTAN_ASSERT(false, "XMSS_SHAKE128_W16_H16 not implemented."); +// break; +// case XMSS_SHAKE128_W16_H20: +// m_element_size = 32; +// m_w = 16; +// m_len = 67; +// m_tree_height = 20; +// m_name = "XMSS_SHAKE128_W16_H20"; +// m_hash_name = ""; +// m_strength = 256; +// m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHAKE128_W16; +// BOTAN_ASSERT(false, "XMSS_SHAKE128_W16_H20 not implemented."); +// break; +// case XMSS_SHAKE256_W16_H10: +// m_element_size = 64; +// m_w = 16; +// m_len = 131; +// m_tree_height = 10; +// m_name = "XMSS_SHAKE256_W16_H10"; +// m_hash_name = ""; +// m_strength = 512; +// m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHAKE256_W16; +// BOTAN_ASSERT(false, "XMSS_SHAKE256_W16_H10 not implemented."); +// break; +// case XMSS_SHAKE256_W16_H16: +// m_element_size = 64; +// m_w = 16; +// m_len = 131; +// m_tree_height = 16; +// m_name = "XMSS_SHAKE256_W16_H16"; +// m_hash_name = ""; +// m_strength = 512; +// m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHAKE256_W16; +// BOTAN_ASSERT(false, "XMSS_SHAKE256_W16_H16 not implemented."); +// break; +// case XMSS_SHAKE256_W16_H20: +// m_element_size = 64; +// m_w = 16; +// m_len = 131; +// m_tree_height = 20; +// m_name = "XMSS_SHAKE256_W16_H20"; +// m_hash_name = ""; +// m_strength = 512; +// m_wots_oid = XMSS_WOTS_Parameters::ots_algorithm_t::WOTSP_SHAKE256_W16; +// BOTAN_ASSERT(false, "XMSS_SHAKE256_W16_H20 not implemented."); +// break; + default: + throw Unsupported_Argument( + "Algorithm id does not match any XMSS algorithm id."); + break; + } + } + +} diff --git a/src/lib/pubkey/xmss/xmss_parameters.h b/src/lib/pubkey/xmss/xmss_parameters.h new file mode 100644 index 000000000..eb5ff4422 --- /dev/null +++ b/src/lib/pubkey/xmss/xmss_parameters.h @@ -0,0 +1,125 @@ +/** + * XMSS Parameters + * (C) 2016 Matthias Gierlings + * + * Botan is released under the Simplified BSD License (see license.txt) + **/ + +#ifndef BOTAN_XMSS_PARAMETERS_H__ +#define BOTAN_XMSS_PARAMETERS_H__ + +#include <cstddef> +#include <map> +#include <string> +#include <botan/assert.h> +#include <botan/types.h> +#include <botan/xmss_wots_parameters.h> + +namespace Botan { + +/** + * Descibes a signature method for XMSS, as defined in: + * [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 + **/ +class BOTAN_DLL XMSS_Parameters + { + public: + enum xmss_algorithm_t + { + XMSS_SHA2_256_W16_H10 = 0x01000001, + XMSS_SHA2_256_W16_H16 = 0x02000002, + XMSS_SHA2_256_W16_H20 = 0x03000003, + XMSS_SHA2_512_W16_H10 = 0x04000004, + XMSS_SHA2_512_W16_H16 = 0x05000005, + XMSS_SHA2_512_W16_H20 = 0x06000006, +// FIXME: Uncomment once SHAKE128/256 implementation is available in Botan. +// XMSS_SHAKE128_W16_H10 = 0x07000007, +// XMSS_SHAKE128_W16_H16 = 0x08000008, +// XMSS_SHAKE128_W16_H20 = 0x09000009, +// XMSS_SHAKE256_W16_H10 = 0x0a00000a, +// XMSS_SHAKE256_W16_H16 = 0x0b00000b, +// XMSS_SHAKE256_W16_H20 = 0x0c00000c + }; + + XMSS_Parameters(const std::string& algo_name); + XMSS_Parameters(xmss_algorithm_t oid); + + /** + * @return XMSS registry name for the chosen parameter set. + **/ + const std::string& name() const + { + return m_name; + } + + const std::string& hash_function_name() const + { + return m_hash_name; + } + + /** + * Retrieves the uniform length of a message, and the size of + * each node. This correlates to XMSS parameter "n" defined + * in [1]. + * + * @return element length in bytes. + **/ + size_t element_size() const { return m_element_size; } + + /** + * @returns The height (number of levels - 1) of the tree + **/ + size_t tree_height() const { return m_tree_height; } + + /** + * The Winternitz parameter. + * + * @return numeric base used for internal representation of + * data. + **/ + size_t wots_parameter() const { return m_w; } + + size_t len() const { return m_len; } + + xmss_algorithm_t oid() const { return m_oid; } + + XMSS_WOTS_Parameters::ots_algorithm_t ots_oid() const + { + return m_wots_oid; + } + + /** + * Returns the estimated pre-quantum security level of + * the chosen algorithm. + **/ + size_t estimated_strength() const + { + return m_strength; + } + + bool operator==(const XMSS_Parameters& p) const + { + return m_oid == p.m_oid; + } + + private: + static const std::map<std::string, xmss_algorithm_t> + m_oid_name_lut; + xmss_algorithm_t m_oid; + XMSS_WOTS_Parameters::ots_algorithm_t m_wots_oid; + std::string m_name; + std::string m_hash_name; + size_t m_element_size; + size_t m_tree_height; + size_t m_w; + size_t m_len; + size_t m_strength; + }; + +} + +#endif diff --git a/src/lib/pubkey/xmss/xmss_privatekey.cpp b/src/lib/pubkey/xmss/xmss_privatekey.cpp new file mode 100644 index 000000000..18d712a5f --- /dev/null +++ b/src/lib/pubkey/xmss/xmss_privatekey.cpp @@ -0,0 +1,188 @@ +/** + * 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 Matthias Gierlings + * + * Botan is released under the Simplified BSD License (see license.txt) + **/ + +#include <botan/internal/xmss_signature_operation.h> +#include <botan/xmss_privatekey.h> + +namespace Botan { + +XMSS_PrivateKey::XMSS_PrivateKey(const secure_vector<byte>& raw_key) + : XMSS_PublicKey(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) >= 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 Integrity_Failure("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() - 1))) + { + throw Integrity_Failure("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<byte>(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<byte> +XMSS_PrivateKey::tree_hash(size_t start_idx, + size_t target_node_height, + XMSS_Address& adrs) + { + const secure_vector<byte>& seed = this->public_seed(); + + BOTAN_ASSERT((start_idx % (1 << target_node_height)) == 0, + "Start index must be divisible by 2^{target node height}."); + + std::vector<secure_vector<byte>> nodes( + XMSS_PublicKey::m_xmss_params.tree_height() + 1, + secure_vector<byte>(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<byte> node_levels(XMSS_PublicKey::m_xmss_params.tree_height() + 1); + + byte level = 0; + XMSS_WOTS_PublicKey pk(m_wots_priv_key.wots_parameters().oid(), seed); + + 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()[adrs], + adrs); + adrs.set_type(XMSS_Address::Type::LTree_Address); + adrs.set_ltree_address(i); + create_l_tree(nodes[level], pk, adrs, seed); + 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); + node_levels[level - 1]++; + level--; //Pop stack top element + adrs.set_tree_height(adrs.get_tree_height() + 1); + } + level++; //push temporary node to stack + } + return 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<byte> XMSS_PrivateKey::raw_private_key() const + { + std::vector<byte> pk { raw_public_key() }; + secure_vector<byte> result(pk.begin(), pk.end()); + result.reserve(size()); + + for(int i = 7; i >= 0; i--) + { + result.push_back( + static_cast<byte>( + 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); + } + +} diff --git a/src/lib/pubkey/xmss/xmss_privatekey.h b/src/lib/pubkey/xmss/xmss_privatekey.h new file mode 100644 index 000000000..064d899a8 --- /dev/null +++ b/src/lib/pubkey/xmss/xmss_privatekey.h @@ -0,0 +1,258 @@ +/** + * XMSS_PrivateKey.h + * (C) 2016 Matthias Gierlings + * + * Botan is released under the Simplified BSD License (see license.txt) + **/ + +#ifndef BOTAN_XMSS_PRIVATEKEY_H__ +#define BOTAN_XMSS_PRIVATEKEY_H__ + +#include <cstddef> +#include <iterator> +#include <memory> +#include <botan/alg_id.h> +#include <botan/assert.h> +#include <botan/exceptn.h> +#include <botan/pk_keys.h> +#include <botan/rng.h> +#include <botan/types.h> +#include <botan/xmss_parameters.h> +#include <botan/xmss_publickey.h> +#include <botan/atomic.h> +#include <botan/xmss_common_ops.h> +#include <botan/xmss_wots_privatekey.h> +#include <botan/xmss_index_registry.h> + +namespace Botan { + +/** + * An XMSS: Extended Hash-Based Signature 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 + **/ +class BOTAN_DLL XMSS_PrivateKey : public virtual XMSS_PublicKey, + public XMSS_Common_Ops, + public virtual Private_Key + { + public: + /** + * Creates a new XMSS private key for the chosen XMSS signature method. + * New seeds for public/private key and pseudo random function input are + * generated using AutoSeeded_RNG. The appropriate WOTS signature method + * will be automatically set based on the chosen XMSS signature method. + * + * @param xmss_algo_id Identifier for the selected XMSS signature method. + * @param rng A random number generator to use for key generation. + **/ + XMSS_PrivateKey(XMSS_Parameters::xmss_algorithm_t xmss_algo_id, + RandomNumberGenerator& rng); + + /** + * Creates an XMSS_PrivateKey from a byte sequence produced by + * raw_private_key(). + * + * @param raw_key An XMSS private key serialized using raw_private_key(). + **/ + XMSS_PrivateKey(const secure_vector<byte>& raw_key); + + /** + * Creates a new XMSS private key for the chosen XMSS signature method + * using precomputed seeds for public/private keys and pseudo random + * function input. The appropriate WOTS signature method will be + * automatically set, based on the chosen XMSS signature method. + * + * @param xmss_algo_id Identifier for the selected XMSS signature method. + * @param idx_leaf Index of the next unused leaf. + * @param wots_priv_seed A seed to generate a Winternitz-One-Time- + * Signature private key from. + * @param prf a secret n-byte key sourced from a secure source + * of uniformly random data. + * @param root Root node of the binary hash tree. + * @param public_seed The public seed. + **/ + XMSS_PrivateKey(XMSS_Parameters::xmss_algorithm_t xmss_algo_id, + size_t idx_leaf, + const secure_vector<byte>& wots_priv_seed, + const secure_vector<byte>& prf, + const secure_vector<byte>& root, + const secure_vector<byte>& public_seed) + : XMSS_PublicKey(xmss_algo_id, root, public_seed), + XMSS_Common_Ops(xmss_algo_id), + m_wots_priv_key(XMSS_PublicKey::m_xmss_params.ots_oid(), + public_seed, + wots_priv_seed), + m_prf(prf), + m_index_reg(XMSS_Index_Registry::get_instance()) + { + set_unused_leaf_index(idx_leaf); + } + + /** + * Retrieves the last unused leaf index of the private key. Reusing a leaf + * by utilizing leaf indices lower than the last unused leaf index will + * compromise security. + * + * @return Index of the last unused leaf. + **/ + size_t unused_leaf_index() const + { + return *recover_global_leaf_index(); + } + + /** + * Sets the last unused leaf index of the private key. The leaf index + * will be updated automatically during every signing operation, and + * should not be set manually. + * + * @param idx Index of the last unused leaf. + **/ + void set_unused_leaf_index(size_t idx) + { + if(idx >= (1ull << (XMSS_PublicKey::m_xmss_params.tree_height() - 1))) + { + throw Integrity_Failure("XMSS private key leaf index out of " + "bounds."); + } + else + { + std::atomic<size_t>& index = + static_cast<std::atomic<size_t>&>(*recover_global_leaf_index()); + size_t current = 0; + + do + { + current = index.load(); + if(current > idx) + return; + } + while(!index.compare_exchange_strong(current, idx)); + } + } + + size_t reserve_unused_leaf_index() + { + size_t idx = (static_cast<std::atomic<size_t>&>( + *recover_global_leaf_index())).fetch_add(1); + if(idx >= (1ull << (XMSS_PublicKey::m_xmss_params.tree_height() - 1))) + { + throw Integrity_Failure("XMSS private key, one time signatures " + "exhausted."); + } + return idx; + } + + /** + * Winternitz One Time Signature Scheme key utilized for signing + * operations. + * + * @return WOTS+ private key. + **/ + const XMSS_WOTS_PrivateKey& wots_private_key() const + { + return m_wots_priv_key; + } + + /** + * Winternitz One Time Signature Scheme key utilized for signing + * operations. + * + * @return WOTS+ private key. + **/ + XMSS_WOTS_PrivateKey& wots_private_key() + { + return m_wots_priv_key; + } + + const secure_vector<byte>& prf() const + { + return m_prf; + } + + secure_vector<byte>& prf() + { + return m_prf; + } + + virtual void set_public_seed( + const secure_vector<byte>& public_seed) override + { + m_public_seed = public_seed; + m_wots_priv_key.set_public_seed(public_seed); + } + + virtual void set_public_seed(secure_vector<byte>&& public_seed) override + { + m_public_seed = std::move(public_seed); + m_wots_priv_key.set_public_seed(m_public_seed); + } + + virtual const secure_vector<byte>& public_seed() const override + { + return m_public_seed; + } + + virtual std::unique_ptr<PK_Ops::Signature> + create_signature_op(RandomNumberGenerator&, + const std::string&, + const std::string& provider) const override; + + virtual secure_vector<byte> pkcs8_private_key() const override + { + return raw_private_key(); + } + + virtual size_t size() const override + { + return XMSS_PublicKey::size() + + sizeof(uint64_t) + + 2 * XMSS_PublicKey::m_xmss_params.element_size(); + } + + /** + * Generates a non standartized byte sequence representing the XMSS + * private key. + * + * @return byte sequence consisting of the following elements in order: + * 4-byte OID, n-byte root node, n-byte public seed, + * 8-byte unused leaf index, n-byte prf seed, n-byte private seed. + **/ + virtual secure_vector<byte> raw_private_key() const; + /** + * Algorithm 9: "treeHash" + * Computes the internal n-byte nodes of a Merkle tree. + * + * @param start_idx The start index. + * @param target_node_height Height of the target node. + * @param adrs Address of the tree containing the target node. + * + * @return The root node of a tree of height target_node height with the + * leftmost leaf being the hash of the WOTS+ pk with index + * start_idx. + **/ + secure_vector<byte> tree_hash( + size_t start_idx, + size_t target_node_height, + XMSS_Address& adrs); + + private: + /** + * Fetches shared unused leaf index fromt the index registry + **/ + std::shared_ptr<Atomic<size_t>> recover_global_leaf_index() const; + + XMSS_WOTS_PrivateKey m_wots_priv_key; + secure_vector<byte> m_prf; + XMSS_Index_Registry& m_index_reg; + }; + +} + +#endif + diff --git a/src/lib/pubkey/xmss/xmss_publickey.cpp b/src/lib/pubkey/xmss/xmss_publickey.cpp new file mode 100644 index 000000000..4ec33e5f3 --- /dev/null +++ b/src/lib/pubkey/xmss/xmss_publickey.cpp @@ -0,0 +1,93 @@ +/** + * XMSS Public Key + * An XMSS: Extended Hash-Based Siganture public key. + * The XMSS public key does not support the X509 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 Matthias Gierlings + * + * Botan is released under the Simplified BSD License (see license.txt) + **/ + +#include <botan/internal/xmss_verification_operation.h> +#include <botan/xmss_publickey.h> + +namespace Botan { + +XMSS_PublicKey::XMSS_PublicKey(const secure_vector<byte>& raw_key) + : m_xmss_params(XMSS_PublicKey::deserialize_xmss_oid(raw_key)), + m_wots_params(m_xmss_params.ots_oid()) + { + if(raw_key.size() < size()) + { + throw Integrity_Failure("Invalid XMSS public key size detected."); + } + + // extract & copy root from raw key. + m_root.clear(); + m_root.reserve(m_xmss_params.element_size()); + auto begin = raw_key.begin() + sizeof(uint32_t); + auto end = begin + m_xmss_params.element_size(); + std::copy(begin, end, std::back_inserter(m_root)); + + // extract & copy public seed from raw key. + begin = end; + end = begin + m_xmss_params.element_size(); + m_public_seed.clear(); + m_public_seed.reserve(m_xmss_params.element_size()); + std::copy(begin, end, std::back_inserter(m_public_seed)); + } + +XMSS_Parameters::xmss_algorithm_t +XMSS_PublicKey::deserialize_xmss_oid(const secure_vector<byte>& raw_key) + { + if(raw_key.size() < 4) + { + throw Integrity_Failure("XMSS signature OID missing."); + } + + // extract and convert algorithm id to enum type + uint32_t raw_id = 0; + for(size_t i = 0; i < 4; i++) + raw_id = ((raw_id << 8) | raw_key[i]); + + return static_cast<XMSS_Parameters::xmss_algorithm_t>(raw_id); + } + +std::unique_ptr<PK_Ops::Verification> +XMSS_PublicKey::create_verification_op(const std::string&, + const std::string& provider) const + { + if(provider == "base" || provider.empty()) + { + return std::unique_ptr<PK_Ops::Verification>( + new XMSS_Verification_Operation(*this)); + } + throw Provider_Not_Found(algo_name(), provider); + } + +std::vector<byte> XMSS_PublicKey::raw_public_key() const + { + std::vector<byte> result + { + static_cast<byte>(m_xmss_params.oid() >> 24), + static_cast<byte>(m_xmss_params.oid() >> 16), + static_cast<byte>(m_xmss_params.oid() >> 8), + static_cast<byte>(m_xmss_params.oid()) + }; + + std::copy(m_root.begin(), m_root.end(), std::back_inserter(result)); + std::copy(m_public_seed.begin(), + m_public_seed.end(), + std::back_inserter(result)); + + return result; + } + +} diff --git a/src/lib/pubkey/xmss/xmss_publickey.h b/src/lib/pubkey/xmss/xmss_publickey.h new file mode 100644 index 000000000..faa35d80a --- /dev/null +++ b/src/lib/pubkey/xmss/xmss_publickey.h @@ -0,0 +1,273 @@ +/** + * XMSS Public Key + * (C) 2016 Matthias Gierlings + * + * Botan is released under the Simplified BSD License (see license.txt) + **/ + +#ifndef BOTAN_XMSS_PUBLICKEY_H__ +#define BOTAN_XMSS_PUBLICKEY_H__ + +#include <cstddef> +#include <iterator> +#include <limits> +#include <memory> +#include <string> +#include <botan/alg_id.h> +#include <botan/asn1_oid.h> +#include <botan/der_enc.h> +#include <botan/assert.h> +#include <botan/exceptn.h> +#include <botan/rng.h> +#include <botan/types.h> +#include <botan/pk_keys.h> +#include <botan/xmss_parameters.h> +#include <botan/xmss_wots_parameters.h> +#include <botan/internal/pk_ops.h> + +namespace Botan { + +class XMSS_Verification_Operation; + +/** + * An XMSS: Extended Hash-Based Signature public key. + * The XMSS public key does not support the X509 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 + **/ +class BOTAN_DLL XMSS_PublicKey : public virtual Public_Key + { + public: + /** + * Creates a new XMSS public key for the chosen XMSS signature method. + * New public and prf seeds are generated using rng. The appropriate WOTS + * signature method will be automatically set based on the chosen XMSS + * signature method. + * + * @param xmss_oid Identifier for the selected XMSS signature method. + * @param rng A random number generator to use for key generation. + **/ + XMSS_PublicKey(XMSS_Parameters::xmss_algorithm_t xmss_oid, + RandomNumberGenerator& rng) + : m_xmss_params(xmss_oid), m_wots_params(m_xmss_params.ots_oid()), + m_root(m_xmss_params.element_size()), + m_public_seed(rng.random_vec(m_xmss_params.element_size())) {} + + /** + * Creates an XMSS public key from a byte sequence produced by + * raw_private_key(). + **/ + XMSS_PublicKey(const secure_vector<byte>& raw_key); + + /** + * Creates a new XMSS public key for a chosen XMSS signature method as + * well as pre-computed root node and public_seed values. + * + * @param xmss_oid Identifier for the selected XMSS signature method. + * @param root Root node value. + * @param public_seed Public seed value. + **/ + XMSS_PublicKey(XMSS_Parameters::xmss_algorithm_t xmss_oid, + const secure_vector<byte>& root, + const secure_vector<byte>& public_seed) + : m_xmss_params(xmss_oid), m_wots_params(m_xmss_params.ots_oid()), + m_root(root), m_public_seed(public_seed) {} + + /** + * Creates a new XMSS public key for a chosen XMSS signature method as + * well as pre-computed root node and public_seed values. + * + * @param xmss_oid Identifier for the selected XMSS signature method. + * @param root Root node value. + * @param public_seed Public seed value. + **/ + XMSS_PublicKey(XMSS_Parameters::xmss_algorithm_t xmss_oid, + secure_vector<byte>&& root, + secure_vector<byte>&& public_seed) + : m_xmss_params(xmss_oid), m_wots_params(m_xmss_params.ots_oid()), + m_root(std::move(root)), m_public_seed(std::move(public_seed)) {} + + /** + * Retrieves the chosen XMSS signature method. + * + * @return XMSS signature method identifier. + **/ + XMSS_Parameters::xmss_algorithm_t xmss_oid() const + { + return m_xmss_params.oid(); + } + + /** + * Sets the chosen XMSS signature method + * + * @return XMSS signature method identifier. + **/ + void set_xmss_oid(XMSS_Parameters::xmss_algorithm_t xmss_oid) + { + m_xmss_params = XMSS_Parameters(xmss_oid); + m_wots_params = XMSS_WOTS_Parameters(m_xmss_params.ots_oid()); + } + + /** + * Retrieves the XMSS parameters determined by the chosen XMSS Signature + * method. + * + * @return XMSS parameters. + **/ + const XMSS_Parameters& xmss_parameters() const + { + return m_xmss_params; + } + + /** + * Retrieves the Winternitz One Time Signature (WOTS) method, + * corrseponding to the chosen XMSS signature method. + * + * @return XMSS WOTS signature method identifier. + **/ + XMSS_WOTS_Parameters::ots_algorithm_t wots_oid() const + { + return m_wots_params.oid(); + } + + /** + * Retrieves the Winternitz One Time Signature (WOTS) parameters + * corrseponding to the chosen XMSS signature method. + * + * @return XMSS WOTS signature method parameters. + **/ + const XMSS_WOTS_Parameters& wots_parameters() const + { + return m_wots_params; + } + + secure_vector<byte>& root() + { + return m_root; + } + + void set_root(const secure_vector<byte>& root) + { + m_root = root; + } + + void set_root(secure_vector<byte>&& root) + { + m_root = std::move(root); + } + + const secure_vector<byte>& root() const + { + return m_root; + } + + virtual secure_vector<byte>& public_seed() + { + return m_public_seed; + } + + virtual void set_public_seed(const secure_vector<byte>& public_seed) + { + m_public_seed = public_seed; + } + + virtual void set_public_seed(secure_vector<byte>&& public_seed) + { + m_public_seed = std::move(public_seed); + } + + virtual const secure_vector<byte>& public_seed() const + { + return m_public_seed; + } + + std::string algo_name() const override + { + return "XMSS"; + } + + virtual AlgorithmIdentifier algorithm_identifier() const override + { + return AlgorithmIdentifier(get_oid(), AlgorithmIdentifier::USE_NULL_PARAM); + } + + virtual bool check_key(RandomNumberGenerator&, bool) const override + { + BOTAN_ASSERT(false, "No key strength check implemented for XMSS."); + } + + virtual std::unique_ptr<PK_Ops::Verification> + create_verification_op(const std::string&, + const std::string& provider) const override; + + virtual size_t estimated_strength() const override + { + return m_xmss_params.estimated_strength(); + } + + virtual size_t max_input_bits() const override + { + return std::numeric_limits<size_t>::infinity(); + } + + virtual size_t message_part_size() const override + { + return std::numeric_limits<size_t>::infinity(); + } + + virtual size_t message_parts() const override + { + return std::numeric_limits<size_t>::infinity(); + } + + /** + * Currently x509 is not suppoerted for XMSS. x509_subject_public_key() + * returns a raw byte sequence as defined in [1]. This method acts as + * alias for raw_public_key(). + * + * @return raw non x509 compliant public key. + **/ + virtual std::vector<byte> x509_subject_public_key() const override + { + return raw_public_key(); + } + + /** + * Size in bytes of the serialized XMSS public key produced by + * raw_public_key(). + * + * @return size in bytes of serialized Public Key. + **/ + virtual size_t size() const + { + return sizeof(uint32_t) + 2 * m_xmss_params.element_size(); + } + + /** + * Generates a non standartized byte sequence representing the XMSS + * public key, as defined in [1] (p. 23, "XMSS Public Key") + * + * @return 4-byte OID, followed by n-byte root node, followed by + * public seed. + **/ + virtual std::vector<byte> raw_public_key() const; + + protected: + XMSS_Parameters m_xmss_params; + XMSS_WOTS_Parameters m_wots_params; + secure_vector<byte> m_root; + secure_vector<byte> m_public_seed; + + private: + XMSS_Parameters::xmss_algorithm_t deserialize_xmss_oid( + const secure_vector<byte>& raw_key); + }; + +} + +#endif diff --git a/src/lib/pubkey/xmss/xmss_signature.cpp b/src/lib/pubkey/xmss/xmss_signature.cpp new file mode 100644 index 000000000..f31dcd8bb --- /dev/null +++ b/src/lib/pubkey/xmss/xmss_signature.cpp @@ -0,0 +1,96 @@ +/** + * XMSS Signature + * (C) 2016 Matthias Gierlings + * + * Botan is released under the Simplified BSD License (see license.txt) + **/ + +#include <botan/internal/xmss_signature.h> + +namespace Botan { + +XMSS_Signature::XMSS_Signature(XMSS_Parameters::xmss_algorithm_t oid, + const secure_vector<byte>& raw_sig) + : m_leaf_idx(0), m_randomness(0, 0x00), m_tree_sig() + { + BOTAN_ASSERT(sizeof(size_t) >= ceil(static_cast<float>( + (XMSS_Parameters(oid)).tree_height()) / 8.f), + "System type \"size_t\" not big enough to support" + " leaf index."); + + XMSS_Parameters xmss_params(oid); + uint64_t leaf_idx = 0; + for(size_t i = 0; i < 8; i++) + leaf_idx = ((leaf_idx << 8) | raw_sig[i]); + + if(leaf_idx >= (1ull << (xmss_params.tree_height() - 1))) + { + throw Integrity_Failure("XMSS signature leaf index out of " + "bounds."); + } + m_leaf_idx = static_cast<size_t>(leaf_idx); + + auto begin = raw_sig.begin() + sizeof(uint64_t); + auto end = begin + xmss_params.element_size(); + std::copy(begin, end, std::back_inserter(m_randomness)); + + for(size_t i = 0; i < xmss_params.len(); i++) + { + begin = end; + end = begin + xmss_params.element_size(); + m_tree_sig.ots_signature().push_back(secure_vector<byte>(0)); + m_tree_sig.ots_signature().back().reserve( + xmss_params.element_size()); + std::copy(begin, + end, + std::back_inserter(m_tree_sig.ots_signature().back())); + } + + for(size_t i = 0; i < xmss_params.tree_height(); i++) + { + begin = end; + end = begin + xmss_params.element_size(); + m_tree_sig.authentication_path().push_back(secure_vector<byte>(0)); + m_tree_sig.authentication_path().back().reserve( + xmss_params.element_size()); + std::copy(begin, + end, + std::back_inserter(m_tree_sig.authentication_path().back())); + } + } + +secure_vector<byte> XMSS_Signature::bytes() const + { + secure_vector<byte> result + { + static_cast<byte>(static_cast<uint64_t>(m_leaf_idx) >> 56U), + static_cast<byte>(static_cast<uint64_t>(m_leaf_idx) >> 48U), + static_cast<byte>(static_cast<uint64_t>(m_leaf_idx) >> 40U), + static_cast<byte>(static_cast<uint64_t>(m_leaf_idx) >> 32U), + static_cast<byte>(static_cast<uint64_t>(m_leaf_idx) >> 24U), + static_cast<byte>(static_cast<uint64_t>(m_leaf_idx) >> 16U), + static_cast<byte>(static_cast<uint64_t>(m_leaf_idx) >> 8U), + static_cast<byte>(static_cast<uint64_t>(m_leaf_idx) ) + }; + + std::copy(m_randomness.begin(), + m_randomness.end(), + std::back_inserter(result)); + + for(const auto& sig : tree().ots_signature()) + { + std::copy(sig.begin(), + sig.end(), + std::back_inserter(result)); + } + + for(const auto& auth : tree().authentication_path()) + { + std::copy(auth.begin(), + auth.end(), + std::back_inserter(result)); + } + return result; + } + +} diff --git a/src/lib/pubkey/xmss/xmss_signature.h b/src/lib/pubkey/xmss/xmss_signature.h new file mode 100644 index 000000000..3194ad28c --- /dev/null +++ b/src/lib/pubkey/xmss/xmss_signature.h @@ -0,0 +1,128 @@ +/** + * XMSS Signature + * (C) 2016 Matthias Gierlings + * + * Botan is released under the Simplified BSD License (see license.txt) + **/ + +#ifndef BOTAN_XMSS_SIGNATURE_H__ +#define BOTAN_XMSS_SIGNATURE_H__ + +#include <cstddef> +#include <iterator> +#include <botan/exceptn.h> +#include <botan/types.h> +#include <botan/secmem.h> +#include <botan/xmss_parameters.h> +#include <botan/xmss_wots_publickey.h> + +namespace Botan { + +class BOTAN_DLL XMSS_Signature + { + public: + /** + * Creates a signature from an XMSS signature method and a byte sequence + * representing a raw signature. + * + * @param oid XMSS signature method + * @param raw_sig An XMSS signature serialized using + * XMSS_Signature::bytes(). + **/ + XMSS_Signature(XMSS_Parameters::xmss_algorithm_t oid, + const secure_vector<byte>& raw_sig); + + /** + * Creates an XMSS Signature from a leaf index used for signature + * generation, a random value and a tree signature. + * + * @param leaf_idx Leaf index used to generate the signature. + * @param randomness A random value. + * @param tree_sig A tree signature. + **/ + XMSS_Signature(size_t leaf_idx, + const secure_vector<byte>& randomness, + const XMSS_WOTS_PublicKey::TreeSignature& tree_sig) + : m_leaf_idx(leaf_idx), m_randomness(randomness), + m_tree_sig(tree_sig) {}; + + /** + * Creates an XMSS Signature from a leaf index used for signature + * generation, a random value and a tree signature. + * + * @param leaf_idx Leaf index used to generate the signature. + * @param randomness A random value. + * @param tree_sig A tree signature. + **/ + XMSS_Signature(size_t leaf_idx, + secure_vector<byte>&& randomness, + XMSS_WOTS_PublicKey::TreeSignature&& tree_sig) + : m_leaf_idx(leaf_idx), m_randomness(std::move(randomness)), + m_tree_sig(std::move(tree_sig)) {}; + + size_t unused_leaf_index() const { return m_leaf_idx; } + void set_unused_leaf_idx(size_t idx) { m_leaf_idx = idx; } + + const secure_vector<byte> randomness() const + { + return m_randomness; + } + + secure_vector<byte>& randomness() + { + return m_randomness; + } + + void set_randomness(const secure_vector<byte>& randomness) + { + m_randomness = randomness; + } + + void set_randomness(secure_vector<byte>&& randomness) + { + m_randomness = std::move(randomness); + } + + const XMSS_WOTS_PublicKey::TreeSignature& tree() const + { + return m_tree_sig; + } + + XMSS_WOTS_PublicKey::TreeSignature& tree() + { + return m_tree_sig; + } + + void set_tree(const XMSS_WOTS_PublicKey::TreeSignature& tree_sig) + { + m_tree_sig = tree_sig; + } + + void set_tree(XMSS_WOTS_PublicKey::TreeSignature&& tree_sig) + { + m_tree_sig = std::move(tree_sig); + } + + /** + * Generates a serialized representation of XMSS Signature by + * concatenating the following elements in order: + * 8-byte leaf index, n-bytes randomness, ots_signature, + * authentication path. + * + * n is the element_size(), len equal to len(), h the tree height + * defined by the chosen XMSS signature method. + * + * @return serialized signature, a sequence of + * (len + h + 1)n bytes. + **/ + secure_vector<byte> bytes() const; + + private: + size_t m_leaf_idx; + secure_vector<byte> m_randomness; + XMSS_WOTS_PublicKey::TreeSignature m_tree_sig; + }; + +} + +#endif diff --git a/src/lib/pubkey/xmss/xmss_signature_operation.cpp b/src/lib/pubkey/xmss/xmss_signature_operation.cpp new file mode 100644 index 000000000..d223ddef0 --- /dev/null +++ b/src/lib/pubkey/xmss/xmss_signature_operation.cpp @@ -0,0 +1,112 @@ +/** + * XMSS Signature Operation + * Signature generation operation for Extended Hash-Based Signatures (XMSS) as + * defined in: + * + * [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 Matthias Gierlings + * + * Botan is released under the Simplified BSD License (see license.txt) + **/ + +#include <botan/internal/xmss_signature_operation.h> + +namespace Botan { + +XMSS_Signature_Operation::XMSS_Signature_Operation( + const XMSS_PrivateKey& private_key) + : XMSS_Common_Ops(private_key.xmss_oid()), + m_priv_key(private_key), + m_randomness(0), + m_leaf_idx(0), + m_is_initialized(false) + {} + +XMSS_WOTS_PublicKey::TreeSignature +XMSS_Signature_Operation::generate_tree_signature(const secure_vector<byte>& msg, + XMSS_PrivateKey& xmss_priv_key, + XMSS_Address& adrs) + { + + wots_keysig_t auth_path = build_auth_path(xmss_priv_key, adrs); + adrs.set_type(XMSS_Address::Type::OTS_Hash_Address); + adrs.set_ots_address(m_leaf_idx); + + wots_keysig_t sig_ots = xmss_priv_key.wots_private_key().sign(msg, adrs); + return XMSS_WOTS_PublicKey::TreeSignature(sig_ots, auth_path); + } + +XMSS_Signature +XMSS_Signature_Operation::sign(const secure_vector<byte>& msg_hash, + XMSS_PrivateKey& xmss_priv_key) + { + XMSS_Address adrs; + XMSS_Signature sig(m_leaf_idx, + m_randomness, + generate_tree_signature(msg_hash, xmss_priv_key,adrs)); + return sig; + } + +wots_keysig_t +XMSS_Signature_Operation::build_auth_path(XMSS_PrivateKey& priv_key, + XMSS_Address& adrs) + { + wots_keysig_t auth_path(m_xmss_params.tree_height()); + adrs.set_type(XMSS_Address::Type::Hash_Tree_Address); + + for(size_t j = 0; j < m_xmss_params.tree_height(); j++) + { + size_t k = (m_leaf_idx / (1 << j)) ^ 0x01; + auth_path[j] = priv_key.tree_hash(k * (1 << j), j, adrs); + } + + return auth_path; + } + +void XMSS_Signature_Operation::update(const byte msg[], size_t msg_len) + { + initialize(); + m_hash.h_msg_update(msg, msg_len); + } + + +secure_vector<byte> +XMSS_Signature_Operation::sign(RandomNumberGenerator&) + { + initialize(); + secure_vector<byte> signature(sign(m_hash.h_msg_final(), + m_priv_key).bytes()); + m_is_initialized = false; + return signature; + } + +void XMSS_Signature_Operation::initialize() + { + // return if we already initialized and reserved a leaf index for signing. + if(m_is_initialized) + return; + + secure_vector<byte> index_bytes; + // reserve leaf index so it can not be reused in by another signature + // operation using the same private key. + m_leaf_idx = m_priv_key.reserve_unused_leaf_index(); + + // write prefix for message hashing into buffer. + XMSS_Tools::get().concat(index_bytes, m_leaf_idx, 32); + m_randomness = m_hash.prf(m_priv_key.prf(), index_bytes); + index_bytes.clear(); + XMSS_Tools::get().concat(index_bytes, m_leaf_idx, + m_priv_key.xmss_parameters().element_size()); + m_hash.h_msg_init(m_randomness, + m_priv_key.root(), + index_bytes); + m_is_initialized = true; + } + +} + diff --git a/src/lib/pubkey/xmss/xmss_signature_operation.h b/src/lib/pubkey/xmss/xmss_signature_operation.h new file mode 100644 index 000000000..da84abdbc --- /dev/null +++ b/src/lib/pubkey/xmss/xmss_signature_operation.h @@ -0,0 +1,107 @@ +/** + * XMSS Signature Operation + * (C) 2016 Matthias Gierlings + * + * Botan is released under the Simplified BSD License (see license.txt) + **/ + +#ifndef BOTAN_XMSS_SIGNATURE_OPERATION_H__ +#define BOTAN_XMSS_SIGNATURE_OPERATION_H__ + +#include <cstddef> +#include <string> +#include <botan/secmem.h> +#include <botan/types.h> +#include <botan/assert.h> +#include <botan/xmss_parameters.h> +#include <botan/xmss_privatekey.h> +#include <botan/xmss_address.h> +#include <botan/xmss_common_ops.h> +#include <botan/internal/pk_ops.h> +#include <botan/internal/xmss_signature.h> +#include <botan/xmss_wots_publickey.h> + +namespace Botan { + +/** + * Signature generation operation for Extended Hash-Based Signatures (XMSS) as + * defined in: + * + * [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 + **/ +class BOTAN_DLL XMSS_Signature_Operation : public virtual PK_Ops::Signature, + public XMSS_Common_Ops + { + public: + typedef XMSS_PrivateKey Key_Type; + + XMSS_Signature_Operation(const XMSS_PrivateKey& private_key); + virtual ~XMSS_Signature_Operation() {} + + virtual size_t message_part_size() const override + { + return m_priv_key.message_part_size(); + } + + virtual size_t message_parts() const override + { + return m_priv_key.message_parts(); + } + + /** + * Creates an XMSS signature for the message provided through call to + * update(). + * + * @return serialized XMSS signature. + **/ + secure_vector<byte> sign(RandomNumberGenerator&) override; + + void update(const byte msg[], size_t msg_len) override; + + private: + /** + * Algorithm 11: "treeSig" + * Generate a WOTS+ signature on a message with corresponding auth path. + * + * @param msg A message. + * @param xmss_priv_key A XMSS private key. + * @param adrs A XMSS Address. + **/ + XMSS_WOTS_PublicKey::TreeSignature generate_tree_signature( + const secure_vector<byte>& msg, + XMSS_PrivateKey& xmss_priv_key, + XMSS_Address& adrs); + + /** + * Algorithm 12: "XMSS_sign" + * Generate an XMSS signature and update the XMSS secret key + * + * @param msg A message to sign of arbitrary length. + * @param [out] xmss_priv_key A XMSS private key. The private key will be + * updated during the signing process. + * + * @return The signature of msg signed using xmss_priv_key. + **/ + XMSS_Signature sign( + const secure_vector<byte>& msg, + XMSS_PrivateKey& xmss_priv_key); + + wots_keysig_t build_auth_path(XMSS_PrivateKey& priv_key, + XMSS_Address& adrs); + + void initialize(); + + XMSS_PrivateKey m_priv_key; + secure_vector<byte> m_randomness; + size_t m_leaf_idx; + bool m_is_initialized; + }; + +} + +#endif + diff --git a/src/lib/pubkey/xmss/xmss_tools.cpp b/src/lib/pubkey/xmss/xmss_tools.cpp new file mode 100644 index 000000000..13e66759c --- /dev/null +++ b/src/lib/pubkey/xmss/xmss_tools.cpp @@ -0,0 +1,32 @@ +/** + * XMSS Tools + * Contains some helper functions. + * (C) 2016 Matthias Gierlings + * + * Botan is released under the Simplified BSD License (see license.txt) + **/ +#include <botan/xmss_tools.h> + +namespace Botan { + +XMSS_Tools::XMSS_Tools() + { +#if defined(BOTAN_TARGET_CPU_HAS_KNOWN_ENDIANESS) +#if defined(BOTAN_TARGET_CPU_IS_LITTLE_ENDIAN) + m_is_little_endian = true; +#else + m_is_little_endian = false; +#endif +#else + uint16_t data = 0x01; + m_is_little_endian = reinterpret_cast<const byte*>(&data)[0] == 0x01; +#endif + } + +const XMSS_Tools& XMSS_Tools::get() + { + static const XMSS_Tools self; + return self; + } + +} diff --git a/src/lib/pubkey/xmss/xmss_tools.h b/src/lib/pubkey/xmss/xmss_tools.h new file mode 100644 index 000000000..07e36ea71 --- /dev/null +++ b/src/lib/pubkey/xmss/xmss_tools.h @@ -0,0 +1,111 @@ +/** + * XMSS Address + * (C) 2016 Matthias Gierlings + * + * Botan is released under the Simplified BSD License (see license.txt) + **/ + +#ifndef BOTAN_XMSS_TOOLS_H__ +#define BOTAN_XMSS_TOOLS_H__ + +#include <stdint.h> +#include <iterator> +#include <type_traits> +#include <botan/types.h> +#include <botan/secmem.h> + +namespace Botan { + +/** + * Helper tools for low level byte operations required + * for the XMSS implementation. + **/ + class XMSS_Tools + { + public: + XMSS_Tools(const XMSS_Tools&) = delete; + void operator=(const XMSS_Tools&) = delete; + + static const XMSS_Tools& get(); + + /** + * Retrieves information about endianess + * + * @return true if machine uses little-endian byte order, false + * otherwise. + **/ + inline bool is_little_endian() const { return m_is_little_endian; } + + /** + * Concatenates the byte representation in big-endian order of any + * integral value to a secure_vector. + * + * @param target Vector to concatenate the byte representation of the + * integral value to. + * @param src integral value to concatenate. + **/ + template<typename T, + typename U = typename std::enable_if<std::is_integral<T>::value, + void>::type> + void concat(secure_vector<byte>& target, const T& src) const; + + /** + * Concatenates the last n bytes of the byte representation in big-endian + * order of any integral value to a to a secure_vector. + * + * @param target Vector to concatenate the byte representation of the + * integral value to. + * @param src Integral value to concatenate. + * @param len number of bytes to concatenate. This value must be smaller + * or equal to the size of type T. + **/ + template <typename T, + typename U = typename std::enable_if<std::is_integral<T>::value, + void>::type> + void concat(secure_vector<byte>& target, const T& src, size_t len) const; + + private: + XMSS_Tools(); + + bool m_is_little_endian; + }; + +template <typename T, typename U> +void XMSS_Tools::concat(secure_vector<byte>& target, const T& src) const + { + const byte* src_bytes = reinterpret_cast<const byte*>(&src); + if(is_little_endian()) + std::reverse_copy(src_bytes, + src_bytes + sizeof(src), + std::back_inserter(target)); + else + std::copy(src_bytes, + src_bytes + sizeof(src), + std::back_inserter(target)); + } + + +template <typename T, typename U> +void XMSS_Tools::concat(secure_vector<byte>& target, + const T& src, + size_t len) const + { + size_t c = static_cast<size_t>(std::min(len, sizeof(src))); + if(len > sizeof(src)) + { + target.resize(target.size() + len - sizeof(src), 0); + } + + const byte* src_bytes = reinterpret_cast<const byte*>(&src); + if(is_little_endian()) + std::reverse_copy(src_bytes, + src_bytes + c, + std::back_inserter(target)); + else + std::copy(src_bytes + sizeof(src) - c, + src_bytes + sizeof(src), + std::back_inserter(target)); + } +} + +#endif diff --git a/src/lib/pubkey/xmss/xmss_verification_operation.cpp b/src/lib/pubkey/xmss/xmss_verification_operation.cpp new file mode 100644 index 000000000..20945e8ca --- /dev/null +++ b/src/lib/pubkey/xmss/xmss_verification_operation.cpp @@ -0,0 +1,128 @@ +/** + * XMSS Verification Operation + * Provides signature verification capabilities for Extended Hash-Based + * Signatures (XMSS). + * + * (C) 2016 Matthias Gierlings + * + * Botan is released under the Simplified BSD License (see license.txt) + **/ + +#include <botan/internal/xmss_verification_operation.h> + +namespace Botan { + +XMSS_Verification_Operation::XMSS_Verification_Operation( + const XMSS_PublicKey& public_key) + : XMSS_Common_Ops(public_key.xmss_oid()), + m_pub_key(public_key), + m_msg_buf(0) + { + } + +secure_vector<byte> +XMSS_Verification_Operation::root_from_signature(const XMSS_Signature& sig, + const secure_vector<byte>& msg, + XMSS_Address& adrs, + const secure_vector<byte>& seed) + { + adrs.set_type(XMSS_Address::Type::OTS_Hash_Address); + adrs.set_ots_address(sig.unused_leaf_index()); + + XMSS_WOTS_PublicKey pub_key_ots(m_pub_key.wots_parameters().oid(), + msg, + sig.tree().ots_signature(), + adrs, + seed); + + adrs.set_type(XMSS_Address::Type::LTree_Address); + adrs.set_ltree_address(sig.unused_leaf_index()); + + std::array<secure_vector<byte>, 2> node; + create_l_tree(node[0], pub_key_ots, adrs, seed); + + adrs.set_type(XMSS_Address::Type::Hash_Tree_Address); + adrs.set_tree_index(sig.unused_leaf_index()); + + for(size_t k = 0; k < m_xmss_params.tree_height(); k++) + { + adrs.set_tree_height(k); + if(((sig.unused_leaf_index() / (1 << k)) & 0x01) == 0) + { + adrs.set_tree_index(adrs.get_tree_index() >> 1); + randomize_tree_hash(node[1], + node[0], + sig.tree().authentication_path()[k], + adrs, + seed); + } + else + { + adrs.set_tree_index((adrs.get_tree_index() - 1) >> 1); + randomize_tree_hash(node[1], + sig.tree().authentication_path()[k], + node[0], + adrs, + seed); + } + node[0] = node[1]; + } + return node[0]; + } + +bool +XMSS_Verification_Operation::verify(const XMSS_Signature& sig, + const secure_vector<byte>& msg, + const XMSS_PublicKey& public_key) + { + XMSS_Address adrs; + secure_vector<byte> index_bytes; + XMSS_Tools::get().concat(index_bytes, + sig.unused_leaf_index(), + m_xmss_params.element_size()); + secure_vector<byte> msg_digest = + m_hash.h_msg(sig.randomness(), + public_key.root(), + index_bytes, + msg); + + secure_vector<byte> node = root_from_signature(sig, + msg_digest, + adrs, + public_key.public_seed()); + + return (node == public_key.root()); + } + +// FIXME: XMSS signature verification requires the "randomness" parameter out +// of the XMSS signature, which is part of the prefix that is hashed before +// msg. Since the signature is unknown till sign() is called all message +// content has to be buffered. For large messages this can be inconvenient or +// impossible. +// Possible solution: Change PK_Ops::Verification interface to take the +// signature as constructor argument, make sign a parameterless member call. +void XMSS_Verification_Operation::update(const byte msg[], size_t msg_len) + { + std::copy(msg, msg + msg_len, std::back_inserter(m_msg_buf)); + } + +bool XMSS_Verification_Operation::is_valid_signature(const byte sig[], + size_t sig_len) + { + try + { + XMSS_Signature signature(m_pub_key.xmss_parameters().oid(), + secure_vector<byte>(sig, sig + sig_len)); + bool result = verify(signature, m_msg_buf, m_pub_key); + m_msg_buf.clear(); + return result; + } + catch(Integrity_Failure& e) + { + m_msg_buf.clear(); + return false; + } + } + +} + diff --git a/src/lib/pubkey/xmss/xmss_verification_operation.h b/src/lib/pubkey/xmss/xmss_verification_operation.h new file mode 100644 index 000000000..6759e3d43 --- /dev/null +++ b/src/lib/pubkey/xmss/xmss_verification_operation.h @@ -0,0 +1,99 @@ +/** + * XMSS Verification Operation + * (C) 2016 Matthias Gierlings + * + * Botan is released under the Simplified BSD License (see license.txt) + **/ + +#ifndef BOTAN_XMSS_VERIFICATION_OPERATION_H__ +#define BOTAN_XMSS_VERIFICATION_OPERATION_H__ + +#include <array> +#include <cstddef> +#include <iterator> +#include <string> +#include <botan/assert.h> +#include <botan/types.h> +#include <botan/xmss_publickey.h> +#include <botan/xmss_common_ops.h> +#include <botan/internal/pk_ops.h> +#include <botan/internal/xmss_signature.h> + +namespace Botan { + +/** + * Provides signature verification capabilities for Extended Hash-Based + * Signatures (XMSS). + **/ + class BOTAN_DLL XMSS_Verification_Operation + : public virtual PK_Ops::Verification, + public XMSS_Common_Ops + { + public: + typedef XMSS_PublicKey Key_Type; + + XMSS_Verification_Operation( + const XMSS_PublicKey& public_key); + + virtual ~XMSS_Verification_Operation() {} + + virtual size_t max_input_bits() const override + { + return m_pub_key.max_input_bits(); + } + + virtual size_t message_part_size() const override + { + return m_pub_key.message_part_size(); + } + + virtual size_t message_parts() const override + { + return m_pub_key.message_parts(); + } + + virtual bool is_valid_signature(const byte sig[], + size_t sig_len) override; + + void update(const byte msg[], size_t msg_len) override; + + private: + /** + * Algorithm 13: "XMSS_rootFromSig" + * Computes a root node using an XMSS signature, a message and a seed. + * + * @param msg A message. + * @param sig The XMSS signature for msg. + * @param adrs A XMSS tree address. + * @param seed A seed. + * + * @return An n-byte string holding the value of the root of a tree + * defined by the input parameters. + **/ + secure_vector<byte> root_from_signature( + const XMSS_Signature& sig, + const secure_vector<byte>& msg, + XMSS_Address& ards, + const secure_vector<byte>& seed); + + /** + * Algorithm 14: "XMSS_verify" + * Verifies a XMSS signature using the corresponding XMSS public key. + * + * @param sig A XMSS signature. + * @param msg The message signed with sig. + * @paeam pub_key + * + * @return true if signature sig is valid for msg, false otherwise. + **/ + bool verify(const XMSS_Signature& sig, + const secure_vector<byte>& msg, + const XMSS_PublicKey& pub_key); + + XMSS_PublicKey m_pub_key; + secure_vector<byte> m_msg_buf; + }; + +} + +#endif diff --git a/src/lib/pubkey/xmss/xmss_wots_parameters.cpp b/src/lib/pubkey/xmss/xmss_wots_parameters.cpp new file mode 100644 index 000000000..b908afeb4 --- /dev/null +++ b/src/lib/pubkey/xmss/xmss_wots_parameters.cpp @@ -0,0 +1,130 @@ +/** + * XMSS WOTS Parameters + * Descibes a signature method for XMSS Winternitz One Time Signatures, + * as defined in: + * [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 Matthias Gierlings + * + * Botan is released under the Simplified BSD License (see license.txt) + **/ + +#include <botan/xmss_wots_parameters.h> + +namespace Botan { + +const std::map<std::string, XMSS_WOTS_Parameters::ots_algorithm_t> + XMSS_WOTS_Parameters::m_oid_name_lut = + { + { "WOTSP_SHA2-256_W16", WOTSP_SHA2_256_W16 }, + { "WOTSP_SHA2-512_W16", WOTSP_SHA2_512_W16 } + }; + +XMSS_WOTS_Parameters::XMSS_WOTS_Parameters(const std::string& algo_name) + : XMSS_WOTS_Parameters(m_oid_name_lut.at(algo_name)) + {} + +XMSS_WOTS_Parameters::XMSS_WOTS_Parameters(ots_algorithm_t oid) + : m_oid(oid) + { + switch(oid) + { + case WOTSP_SHA2_256_W16: + m_element_size = 32; + m_w = 16; + m_len = 67; + m_name = "WOTSP_SHA2-256_W16"; + m_hash_name = "SHA-256"; + m_strength = 256; + break; + case WOTSP_SHA2_512_W16: + m_element_size = 64; + m_w = 16; + m_len = 131; + m_name = "WOTSP_SHA2-512_W16"; + m_hash_name = "SHA-512"; + m_strength = 512; + break; +// FIXME: Uncomment once SHAKE128/256 implementation is available in Botan. +// case WOTSP_SHAKE128_W16: +// m_element_size = 32; +// m_w = 16; +// m_len = 67; +// m_name = "WOTSP_SHAKE128_W16"; +// m_hash_name = "<MISSING>"; +// m_strength = 256; +// break; +// case WOTSP_SHAKE256_W16: +// m_element_size = 64; +// m_w = 16; +// m_len = 131; +// m_name = "WOTSP_SHAKE256_W16"; +// m_hash_name = "<MISSING>"; +// m_strength = 512; +// break; + default: + throw Unsupported_Argument( + "Algorithm id does not match any XMSS WOTS algorithm id."); + break; + } + + m_w == 16 ? m_lg_w = 4 : m_lg_w = 2; + m_len_1 = static_cast<size_t>(ceil((8 * element_size()) / m_lg_w)); + m_len_2 = static_cast<size_t>( + floor(log2(m_len_1 * (wots_parameter() - 1)) / m_lg_w) + 1); + BOTAN_ASSERT(m_len == m_len_1 + m_len_2, "Invalid XMSS WOTS parameter " + "\"len\" detedted."); + } + +secure_vector<byte> +XMSS_WOTS_Parameters::base_w(const secure_vector<byte>& msg, size_t out_size) const + { + secure_vector<byte> result; + size_t in = 0; + size_t total = 0; + size_t bits = 0; + + for(size_t i = 0; i < out_size; i++) + { + if(bits == 0) + { + total = msg[in]; + in++; + bits += 8; + } + bits -= m_lg_w; + result.push_back(static_cast<byte>((total >> bits) & (m_w - 1))); + } + return result; + } + +secure_vector<byte> +XMSS_WOTS_Parameters::base_w(size_t value) const + { + value <<= (8 - ((m_len_2 * m_lg_w) % 8)); + size_t len_2_bytes = static_cast<size_t>( + ceil(static_cast<float>(m_len_2 * m_lg_w) / 8.f)); + secure_vector<byte> result; + XMSS_Tools::get().concat(result, value, len_2_bytes); + return base_w(result, m_len_2); + } + +void +XMSS_WOTS_Parameters::append_checksum(secure_vector<byte>& data) + { + size_t csum = 0; + + for(size_t i = 0; i < data.size(); i++) + { + csum += wots_parameter() - 1 - data[i]; + } + + secure_vector<byte> csum_bytes = base_w(csum); + std::move(csum_bytes.begin(), csum_bytes.end(), std::back_inserter(data)); + } + +} diff --git a/src/lib/pubkey/xmss/xmss_wots_parameters.h b/src/lib/pubkey/xmss/xmss_wots_parameters.h new file mode 100644 index 000000000..a4840c354 --- /dev/null +++ b/src/lib/pubkey/xmss/xmss_wots_parameters.h @@ -0,0 +1,129 @@ +/** + * XMSS WOTS Parameters + * (C) 2016 Matthias Gierlings + * + * Botan is released under the Simplified BSD License (see license.txt) + **/ + +#ifndef BOTAN_XMSS_WOTS_PARAMETERS_H__ +#define BOTAN_XMSS_WOTS_PARAMETERS_H__ + +#include <cstddef> +#include <cstdint> +#include <iterator> +#include <map> +#include <string> +#include <math.h> +#include <botan/assert.h> +#include <botan/types.h> +#include <botan/secmem.h> +#include <botan/exceptn.h> +#include <botan/xmss_tools.h> + +namespace Botan { + +/** + * Descibes a signature method for XMSS Winternitz One Time Signatures, + * as defined in: + * [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 + **/ +class XMSS_WOTS_Parameters + { + public: + enum ots_algorithm_t + { + WOTSP_SHA2_256_W16 = 0x01000001, + WOTSP_SHA2_512_W16 = 0x02000002, +// FIXME: Uncomment once SHAKE128/256 implementation is available in Botan. +// WOTSP_SHAKE128_W16 = 0x03000003, +// WOTSP_SHAKE256_W16 = 0x04000004 + }; + + XMSS_WOTS_Parameters(const std::string& algo_name); + XMSS_WOTS_Parameters(ots_algorithm_t ots_spec); + + /** + * Algorithm 1: convert input string to base. + * + * @param msg Input string (referred to as X in [1]). + * @param out_size size of message in base w. + * + * @return Input string converted to the given base. + **/ + secure_vector<byte> base_w(const secure_vector<byte>& msg, size_t out_size) const; + + secure_vector<byte> base_w(size_t value) const; + + void append_checksum(secure_vector<byte>& data); + + /** + * @return XMSS WOTS registry name for the chosen parameter set. + **/ + const std::string& name() const + { + return m_name; + } + + /** + * @return Botan name for the hash function used. + **/ + const std::string& hash_function_name() const + { + return m_hash_name; + } + + /** + * Retrieves the uniform length of a message, and the size of + * each node. This correlates to XMSS parameter "n" defined + * in [1]. + * + * @return element length in bytes. + **/ + size_t element_size() const { return m_element_size; } + + /** + * The Winternitz parameter. + * + * @return numeric base used for internal representation of + * data. + **/ + size_t wots_parameter() const { return m_w; } + + size_t len() const { return m_len; } + + size_t len_1() const { return m_len_1; } + + size_t len_2() const { return m_len_2; } + + size_t lg_w() const { return m_lg_w; } + + ots_algorithm_t oid() const { return m_oid; } + + size_t estimated_strength() const { return m_strength; } + + bool operator==(const XMSS_WOTS_Parameters& p) const + { + return m_oid == p.m_oid; + } + + private: + static const std::map<std::string, ots_algorithm_t> m_oid_name_lut; + ots_algorithm_t m_oid; + std::string m_name; + std::string m_hash_name; + size_t m_element_size; + size_t m_w; + size_t m_len_1; + size_t m_len_2; + size_t m_len; + size_t m_strength; + uint8_t m_lg_w; + }; + +} + +#endif diff --git a/src/lib/pubkey/xmss/xmss_wots_privatekey.cpp b/src/lib/pubkey/xmss/xmss_wots_privatekey.cpp new file mode 100644 index 000000000..f94ba3612 --- /dev/null +++ b/src/lib/pubkey/xmss/xmss_wots_privatekey.cpp @@ -0,0 +1,80 @@ +/** + * XMSS WOTS Private Key + * A Winternitz One Time Signature private key for use with Extended Hash-Based + * Signatures. + * + * (C) 2016 Matthias Gierlings + * + * Botan is released under the Simplified BSD License (see license.txt) + **/ + +#include <botan/xmss_wots_privatekey.h> + +namespace Botan { + +wots_keysig_t +XMSS_WOTS_PrivateKey::generate(const secure_vector<byte>& priv_seed) + { + wots_keysig_t priv_key(m_wots_params.len(), + secure_vector<byte>(0)); + + for(size_t i = 0; i < m_wots_params.len(); i++) + { + XMSS_Tools::get().concat<size_t>(priv_key[i], i, 32); + m_hash.prf(priv_key[i], priv_seed, priv_key[i]); + } + return priv_key; + } + + +XMSS_WOTS_PublicKey +XMSS_WOTS_PrivateKey::generate_public_key(XMSS_Address& adrs) + { + XMSS_WOTS_PublicKey pub_key(m_wots_params.oid(), + public_seed()); + generate_public_key(pub_key, wots_keysig_t((*this)[adrs]), adrs); + return pub_key; + } + +void +XMSS_WOTS_PrivateKey::generate_public_key(XMSS_WOTS_PublicKey& pub_key, + wots_keysig_t&& in_key_data, + XMSS_Address& adrs) + { + BOTAN_ASSERT(wots_parameters() == pub_key.wots_parameters() && + public_seed() == pub_key.public_seed(), + "Conflicting public key data."); + + pub_key.set_key_data(std::move(in_key_data)); + for(size_t i = 0; i < m_wots_params.len(); i++) + { + adrs.set_chain_address(i); + chain(pub_key[i], 0, m_wots_params.wots_parameter() - 1, adrs, + public_seed()); + } + } + +wots_keysig_t +XMSS_WOTS_PrivateKey::sign( + const secure_vector<byte>& msg, + XMSS_Address& adrs) + + { + secure_vector<byte> msg_digest + { + m_wots_params.base_w(msg, m_wots_params.len_1()) + }; + + m_wots_params.append_checksum(msg_digest); + wots_keysig_t sig((*this)[adrs]); + + for(size_t i = 0; i < m_wots_params.len(); i++) + { + adrs.set_chain_address(i); + chain(sig[i], 0 , msg_digest[i], adrs, m_public_seed); + } + + return sig; + } + +} diff --git a/src/lib/pubkey/xmss/xmss_wots_privatekey.h b/src/lib/pubkey/xmss/xmss_wots_privatekey.h new file mode 100644 index 000000000..422d014f4 --- /dev/null +++ b/src/lib/pubkey/xmss/xmss_wots_privatekey.h @@ -0,0 +1,265 @@ +/** + * XMSS WOTS Private Key + * (C) 2016 Matthias Gierlings + * + * Botan is released under the Simplified BSD License (see license.txt) + **/ + +#ifndef BOTAN_XMSS_WOTS_PRIVATEKEY_H__ +#define BOTAN_XMSS_WOTS_PRIVATEKEY_H__ + +#include <cstddef> +#include <memory> +#include <botan/alg_id.h> +#include <botan/assert.h> +#include <botan/pk_keys.h> +#include <botan/types.h> +#include <botan/xmss_wots_parameters.h> +#include <botan/xmss_address.h> +#include <botan/xmss_wots_publickey.h> + +namespace Botan { + +/** A Winternitz One Time Signature private key for use with Extended Hash-Based + * Signatures. + **/ +class BOTAN_DLL XMSS_WOTS_PrivateKey : public virtual XMSS_WOTS_PublicKey, + public virtual Private_Key + { + public: + /** + * Creates a WOTS private key for the chosen XMSS WOTS signature method. + * Members need to be initialized manually. + * + * @param oid Identifier for the selected signature method. + **/ + XMSS_WOTS_PrivateKey(XMSS_WOTS_Parameters::ots_algorithm_t oid) + : XMSS_WOTS_PublicKey(oid) + {} + + /** + * Creates a WOTS private key for the chosen XMSS WOTS signature method. + * + * @param oid Identifier for the selected signature method. + * @param rng A random number generator to use for key generation. + **/ + XMSS_WOTS_PrivateKey(XMSS_WOTS_Parameters::ots_algorithm_t oid, + RandomNumberGenerator& rng) + : XMSS_WOTS_PublicKey(oid, rng), + m_private_seed(rng.random_vec(m_wots_params.element_size())) + { + set_key_data(generate(m_private_seed)); + } + + /** + * Constructs a WOTS private key. Chains will be generated on demand + * applying a hash function to a unique value generated from a secret + * seed and a counter. The secret seed of length n, will be + * automatically generated using AutoSeeded_RNG(). "n" equals + * the element size of the chosen WOTS security parameter set. + * + * @param oid Identifier for the selected signature method. + * @param public_seed A public seed used for the pseudo random generation + * of public keys derived from this private key. + * @param rng A random number generator to use for key generation. + **/ + XMSS_WOTS_PrivateKey(XMSS_WOTS_Parameters::ots_algorithm_t oid, + const secure_vector<byte>& public_seed, + RandomNumberGenerator &rng) + : XMSS_WOTS_PublicKey(oid, public_seed), + m_private_seed(rng.random_vec(m_wots_params.element_size())) + { + set_key_data(generate(m_private_seed)); + } + + /** + * Constructs a WOTS private key. Chains will be generated on demand + * applying a hash function to a unique value generated from a secret + * seed and a counter. The secret seed of length n, will be + * automatically generated using AutoSeeded_RNG(). "n" equals + * the element size of the chosen WOTS security parameter set. + * + * @param oid Identifier for the selected signature method. + * @param public_seed A public seed used for the pseudo random generation + * of public keys derived from this private key. + **/ + XMSS_WOTS_PrivateKey(XMSS_WOTS_Parameters::ots_algorithm_t oid, + const secure_vector<byte>& public_seed) + : XMSS_WOTS_PublicKey(oid, public_seed) + {} + + /** + * Constructs a WOTS private key. Chains will be generated on demand + * applying a hash function to a unique value generated from the + * secret seed and a counter. + * + * @param oid Identifier for the selected signature method. + * @param public_seed A public seed used for the pseudo random generation + * of public keys derived from this private key. + * @param private_seed A secret uniformly random n-byte value. + **/ + XMSS_WOTS_PrivateKey(XMSS_WOTS_Parameters::ots_algorithm_t oid, + const secure_vector<byte>& public_seed, + const secure_vector<byte>& private_seed) + : XMSS_WOTS_PublicKey(oid, public_seed), + m_private_seed(private_seed) + { + set_key_data(generate(private_seed)); + } + + /** + * Retrieves the i-th WOTS private key using pseudo random key + * (re-)generation. + * + * @param i Index of the key to retrieve. + * + * @return WOTS secret key. + **/ + wots_keysig_t operator[](size_t i) + { + secure_vector<byte> idx_bytes; + XMSS_Tools::get().concat(idx_bytes, i, m_wots_params.element_size()); + m_hash.h(idx_bytes, m_private_seed, idx_bytes); + return generate(idx_bytes); + } + + /** + * Retrieves the i-th WOTS private key using pseudo random key + * (re-)generation. + * + * @param adrs The address of the key to retrieve. + * + * @return WOTS secret key. + **/ + wots_keysig_t operator[](const XMSS_Address& adrs) + { + secure_vector<byte> result; + m_hash.prf(result, m_private_seed, adrs.bytes()); + return generate(result); + } + + wots_keysig_t generate_private_key(const secure_vector<byte>& priv_seed); + + /** + * Algorithm 4: "WOTS_genPK" + * Generates a Winternitz One Time Signature+ (WOTS+) Public Key from a + * given private key. + * + * @param adrs Hash function address encoding the address of the WOTS+ + * key pair within a greater structure. + * + * @return A XMSS_WOTS_PublicKey. + **/ + XMSS_WOTS_PublicKey generate_public_key( + XMSS_Address& adrs); + + /** + * Algorithm 4: "WOTS_genPK" + * Initializes a Winternitz One Time Signature+ (WOTS+) Public Key's + * key_data() member, with data derived from in_key_data using the + * WOTS chaining function. + * + * @param[out] pub_key Public key to initialize key_data() member on. + * @param in_key_data Input key material from private key used for + * public key generation. + * @param adrs Hash function address encoding the address of + * the WOTS+ key pair within a greater structure. + **/ + void generate_public_key( + XMSS_WOTS_PublicKey& pub_key, + wots_keysig_t&& in_key_data, + XMSS_Address& adrs); + + /** + * Algorithm 5: "WOTS_sign" + * Generates a signature from a private key and a message. + * + * @param msg A message to sign. + * @param adrs An OTS hash address identifying the WOTS+ key pair + * used for signing. + * + * @return signature for msg. + **/ + wots_keysig_t sign( + const secure_vector<byte>& msg, + XMSS_Address& adrs); + + /** + * Retrieves the secret seed used to generate WOTS+ chains. The seed + * should be a uniformly random n-byte value. + * + * @return secret seed. + **/ + const secure_vector<byte>& private_seed() const + { + return m_private_seed; + } + + ///** + // * Retrieves the secret seed used to generate WOTS+ chains. The seed + // * should be a uniformly random n-byte value. + // * + // * @return secret seed. + // **/ + //secure_vector<byte>& private_seed() { return m_private_seed; } + + /** + * Sets the secret seed used to generate WOTS+ chains. The seed + * should be a uniformly random n-byte value. + * + * @param private_seed Uniformly random n-byte value. + **/ + void set_private_seed(const secure_vector<byte>& private_seed) + { + m_private_seed = private_seed; + } + + /** + * Sets the secret seed used to generate WOTS+ chains. The seed + * should be a uniformly random n-byte value. + * + * @param private_seed Uniformly random n-byte value. + **/ + void set_private_seed(secure_vector<byte>&& private_seed) + { + m_private_seed = std::move(private_seed); + } + + virtual AlgorithmIdentifier + pkcs8_algorithm_identifier() const override + { + BOTAN_ASSERT(false, "No AlgorithmIdentifier available for XMSS-WOTS."); + } + + virtual std::unique_ptr<PK_Ops::Signature> + create_signature_op(RandomNumberGenerator&, + const std::string&, + const std::string& provider) const override + { + BOTAN_ASSERT(false, "XMSS_WOTS_Signature_Operation not available."); + } + + virtual secure_vector<byte> pkcs8_private_key() const override + { + BOTAN_ASSERT(false, "No PKCS8 key format defined for XMSS-WOTS."); + } + + private: + /** + * Algorithm 3: "Generating a WOTS+ Private Key". + * Generates a private key. + * + * @param private_seed Uniformly random n-byte value. + * + * @returns a vector of length key_size() of vectors of n bytes length + * containing uniformly random data. + **/ + wots_keysig_t generate(const secure_vector<byte>& private_seed); + + secure_vector<byte> m_private_seed; + }; + +} + +#endif + diff --git a/src/lib/pubkey/xmss/xmss_wots_publickey.cpp b/src/lib/pubkey/xmss/xmss_wots_publickey.cpp new file mode 100644 index 000000000..aa0240be8 --- /dev/null +++ b/src/lib/pubkey/xmss/xmss_wots_publickey.cpp @@ -0,0 +1,66 @@ +/** + * XMSS WOTS Public Key + * A Winternitz One Time Signature public key for use with Extended Hash-Based + * Signatures. + * + * (C) 2016 Matthias Gierlings + * + * Botan is released under the Simplified BSD License (see license.txt) + **/ + +#include <botan/xmss_wots_publickey.h> + +namespace Botan { + +void +XMSS_WOTS_PublicKey::chain(secure_vector<byte>& result, + size_t start_idx, + size_t steps, + XMSS_Address& adrs, + const secure_vector<byte>& seed) + { + for(size_t i = start_idx; + i < (start_idx + steps) && i < m_wots_params.wots_parameter(); + i++) + { + adrs.set_hash_address(i); + + //Calculate tmp XOR bitmask + adrs.set_key_mask_mode(XMSS_Address::Key_Mask::Mask_Mode); + xor_buf(result, m_hash.prf(seed, adrs.bytes()), result.size()); + + // Calculate key + adrs.set_key_mask_mode(XMSS_Address::Key_Mask::Key_Mode); + + //Calculate f(key, tmp XOR bitmask) + m_hash.f(result, m_hash.prf(seed, adrs.bytes()), result); + } + } + +wots_keysig_t +XMSS_WOTS_PublicKey::pub_key_from_signature(const secure_vector<byte>& msg, + const wots_keysig_t& sig, + XMSS_Address& adrs, + const secure_vector<byte>& seed) + { + secure_vector<byte> msg_digest + { + m_wots_params.base_w(msg, m_wots_params.len_1()) + }; + + m_wots_params.append_checksum(msg_digest); + wots_keysig_t result(sig); + + for(size_t i = 0; i < m_wots_params.len(); i++) + { + adrs.set_chain_address(i); + chain(result[i], + msg_digest[i], + m_wots_params.wots_parameter() - 1 - msg_digest[i], + adrs, + seed); + } + return result; + } + +} diff --git a/src/lib/pubkey/xmss/xmss_wots_publickey.h b/src/lib/pubkey/xmss/xmss_wots_publickey.h new file mode 100644 index 000000000..e024c486f --- /dev/null +++ b/src/lib/pubkey/xmss/xmss_wots_publickey.h @@ -0,0 +1,337 @@ +/** + * XMSS WOTS Public Key + * (C) 2016 Matthias Gierlings + * + * Botan is released under the Simplified BSD License (see license.txt) + **/ + +#ifndef BOTAN_XMSS_WOTS_PUBLICKEY_H__ +#define BOTAN_XMSS_WOTS_PUBLICKEY_H__ + +#include <cstddef> +#include <string> +#include <vector> +#include <botan/auto_rng.h> +#include <botan/alg_id.h> +#include <botan/asn1_oid.h> +#include <botan/assert.h> +#include <botan/pk_keys.h> +#include <botan/types.h> +#include <botan/xmss_wots_parameters.h> +#include <botan/xmss_address.h> +#include <botan/xmss_hash.h> + +namespace Botan { + +typedef std::vector<secure_vector<byte>> wots_keysig_t; + +/** + * A Winternitz One Time Signature public key for use with Extended Hash-Based + * Signatures. + **/ +class BOTAN_DLL XMSS_WOTS_PublicKey : virtual public Public_Key + { + public: + class TreeSignature + { + public: + TreeSignature() + : m_ots_sig(), m_auth_path() {} + + TreeSignature(const wots_keysig_t& ots_sig, + const wots_keysig_t& auth_path) + : m_ots_sig(ots_sig), m_auth_path(auth_path) + {} + + TreeSignature(wots_keysig_t&& ots_sig, + wots_keysig_t&& auth_path) + : m_ots_sig(std::move(ots_sig)), + m_auth_path(std::move(auth_path)) + {} + + const wots_keysig_t& ots_signature() const + { + return m_ots_sig; + } + + wots_keysig_t& ots_signature() + { + return m_ots_sig; + } + + const wots_keysig_t& authentication_path() const + { + return m_auth_path; + } + + wots_keysig_t& authentication_path() + { + return m_auth_path; + } + + private: + wots_keysig_t m_ots_sig; + wots_keysig_t m_auth_path; + }; + + /** + * Creates a XMSS_WOTS_PublicKey for the signature method identified by + * oid. The public seed for this key will be initialized with a + * uniformly random n-byte value, where "n" is the element size of the + * selected signature method. + * + * @param oid Identifier for the selected signature method. + **/ + XMSS_WOTS_PublicKey(XMSS_WOTS_Parameters::ots_algorithm_t oid) + : m_wots_params(oid), + m_hash(m_wots_params.hash_function_name()) {} + + /** + * Creates a XMSS_WOTS_PublicKey for the signature method identified by + * oid. The public seed for this key will be initialized with a + * uniformly random n-byte value, where "n" is the element size of the + * selected signature method. + * + * @param oid Identifier for the selected signature method. + * @param rng A random number generate used to generate the public seed. + **/ + XMSS_WOTS_PublicKey(XMSS_WOTS_Parameters::ots_algorithm_t oid, + RandomNumberGenerator& rng) + : m_wots_params(oid), + m_hash(m_wots_params.hash_function_name()), + m_public_seed(rng.random_vec(m_wots_params.element_size())) {} + + /** + * Creates a XMSS_WOTS_PrivateKey for the signature method identified by + * oid, with a precomputed public seed. + * + * @param oid Identifier for the selected signature method. + * @param public_seed A precomputed public seed of n-bytes length. + **/ + XMSS_WOTS_PublicKey(XMSS_WOTS_Parameters::ots_algorithm_t oid, + secure_vector<byte> public_seed) + : m_wots_params(oid), + m_hash(m_wots_params.hash_function_name()), + m_public_seed(public_seed) {} + + /** + * Creates a XMSS_WOTS_PublicKey for the signature method identified by + * oid. The public seed will be initialized with a precomputed seed and + * and precomputed key data which should be derived from a + * XMSS_WOTS_PrivateKey. + * + * @param oid Ident:s/ifier for the selected signature methods. + * @param public_seed A precomputed public seed of n-bytes length. + * @param key Precomputed raw key data of the XMSS_WOTS_PublicKey. + **/ + XMSS_WOTS_PublicKey(XMSS_WOTS_Parameters::ots_algorithm_t oid, + secure_vector<byte>&& public_seed, + wots_keysig_t&& key) + : m_wots_params(oid), + m_hash(m_wots_params.hash_function_name()), + m_key(std::move(key)), + m_public_seed(std::move(public_seed)) + {} + + /** + * Creates a XMSS_WOTS_PublicKey for the signature method identified by + * oid. The public seed will be initialized with a precomputed seed and + * and precomputed key data which should be derived from a + * XMSS_WOTS_PrivateKey. + * + * @param oid Identifier for the selected signature methods. + * @param public_seed A precomputed public seed of n-bytes length. + * @param key Precomputed raw key data of the XMSS_WOTS_PublicKey. + **/ + XMSS_WOTS_PublicKey(XMSS_WOTS_Parameters::ots_algorithm_t oid, + const secure_vector<byte>& public_seed, + const wots_keysig_t& key) + : m_wots_params(oid), + m_hash(m_wots_params.hash_function_name()), + m_key(key), + m_public_seed(public_seed) + {} + + /** + * Creates a XMSS_WOTS_PublicKey form a message and signature using + * Algorithm 6 WOTS_pkFromSig defined in the XMSS standard. This + * overload is used to verify a message using a public key. + * + * @param oid WOTSP algorithm identifier. + * @param msg A message. + * @param sig A WOTS signature for msg. + * @param adrs An XMSS_Address. + * @param public_seed The public public_seed. + **/ + XMSS_WOTS_PublicKey(XMSS_WOTS_Parameters::ots_algorithm_t oid, + const secure_vector<byte>& msg, + const wots_keysig_t& sig, + XMSS_Address& adrs, + const secure_vector<byte>& public_seed) + : m_wots_params(oid), + m_hash(m_wots_params.hash_function_name()), + m_key(pub_key_from_signature(msg, + sig, + adrs, + public_seed)), + m_public_seed(public_seed) + {} + + /** + * Retrieves the i-th element out of the length len chain of + * n-byte elements contained in the public key. + * + * @param i index of the element. + * @returns n-byte element addressed by i. + **/ + const secure_vector<byte>& operator[](size_t i) const { return m_key[i]; } + secure_vector<byte>& operator[](size_t i) { return m_key[i]; } + + /** + * Convert the key into the raw key data. The key becomes a length + * len vector of n-byte elements. + **/ + operator const wots_keysig_t& () const { return m_key; }; + + /** + * Convert the key into the raw key data. The key becomes a length + * len vector of n-byte elements. + **/ + operator wots_keysig_t& () { return m_key; } + + const secure_vector<byte>& public_seed() const { return m_public_seed; } + secure_vector<byte>& public_seed() { return m_public_seed; } + void set_public_seed(const secure_vector<byte>& public_seed) + { + m_public_seed = public_seed; + } + void set_public_seed(secure_vector<byte>&& public_seed) + { + m_public_seed = std::move(public_seed); + } + + const wots_keysig_t& key_data() const { return m_key; } + wots_keysig_t& key_data() { return m_key; } + void set_key_data(const wots_keysig_t& key_data) + { + m_key = key_data; + } + void set_key_data(wots_keysig_t&& key_data) + { + m_key = std::move(key_data); + } + + const XMSS_WOTS_Parameters& wots_parameters() const + { + return m_wots_params; + } + + virtual std::string algo_name() const override + { + return m_wots_params.name(); + } + + virtual AlgorithmIdentifier algorithm_identifier() const override + { + BOTAN_ASSERT(false, "No AlgorithmIdentifier available for XMSS-WOTS."); + } + + virtual bool check_key(RandomNumberGenerator&, bool) const override + { + BOTAN_ASSERT(false, "No key strength check implemented for XMSS-WOTS."); + } + + virtual std::unique_ptr<PK_Ops::Verification> + create_verification_op(const std::string&, + const std::string& provider) const override + { + BOTAN_ASSERT(false, "XMSS_WOTS_Verification_Operation not available."); + } + + virtual size_t estimated_strength() const override + { + return m_wots_params.estimated_strength(); + } + + virtual size_t max_input_bits() const override + { + return message_part_size() * 8; + } + + virtual size_t message_part_size() const override + { + return m_wots_params.element_size(); + } + + virtual size_t message_parts() const override + { + return 1; + } + + virtual std::vector<byte> x509_subject_public_key() const override + { + BOTAN_ASSERT(false, "No x509 key format defined for XMSS-WOTS."); + } + + bool operator==(const XMSS_WOTS_PublicKey& key) + { + return m_key == key.m_key; + } + + bool operator!=(const XMSS_WOTS_PublicKey& key) + { + return !(*this == key); + } + + protected: + /** + * Algorithm 2: Chaining Function. + * + * Takes an n-byte input string and transforms it into a the function + * result iterating the cryptographic hash function "F" steps times on + * the input x using the outputs of the PRNG "G". + * + * + * @param[out] x An n-byte input string, that will be transformed into + * the chaining function result. + * @param start_idx The start index. + * @param steps A number of steps. + * @param adrs An OTS Hash Address. + * @param public_seed A public seed. + * + **/ + void chain(secure_vector<byte>& x, + size_t start_idx, + size_t steps, + XMSS_Address& adrs, + const secure_vector<byte>& public_seed); + + XMSS_WOTS_Parameters m_wots_params; + XMSS_Hash m_hash; + + wots_keysig_t m_key; + secure_vector<byte> m_public_seed; + + private: + /** + * Algorithm 6: "WOTS_pkFromSig" + * Computes a Winternitz One Time Signature+ public key from a message and + * its signature. + * + * @param msg A message. + * @param sig The signature for msg. + * @param adrs An address. + * @param public_seed A public_seed. + * + * @return Temporary WOTS+ public key. + **/ + wots_keysig_t pub_key_from_signature( + const secure_vector<byte>& msg, + const wots_keysig_t& sig, + XMSS_Address& adrs, + const secure_vector<byte>& public_seed); + }; + +} + +#endif diff --git a/src/tests/data/pubkey/xmss_sig.vec b/src/tests/data/pubkey/xmss_sig.vec new file mode 100644 index 000000000..d12f1545e --- /dev/null +++ b/src/tests/data/pubkey/xmss_sig.vec @@ -0,0 +1,80 @@ +# Sign XMSS_SHA2-256_W16_H10 [VERIFIED] +Msg = +PrivateKey = 01000001510ac05c24fb139572f8b0d82c0bc403b71cfe1d6551f7ed57046cd8cc62742af719f460378c13d422ba462b9b7bd57218d106e06778afcf9031065b451a529400000000000000ffc7f0003ec2f7c3ea0a6534b1ae2e48145febe7fa90c3b294b75dac6789d794c7c4f9ccaec934457266ef9770b8ecd94eac7f16f14027ef97c4885b4caeb32ebe +Signature = 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 + +# Sign XMSS_SHA2-256_W16_H10 [VERIFIED] +Msg = 078a87923dec59ce843149f5e642a3f921e2e78543132f88ba637a09df0c16552a3037e3eeb3a30fda5df73ae2e0dd3821d1 +PrivateKey = 01000001a020196cde3a20c13477ce56de3a7a4381821ea50bf07f0670048a0e1736d22876575fa4f5404b393828f74776a9b9c73b0962069652b088432242e12cf75e170000000000000000ce1994bc37aedd7e21851001ec0f4296ecc3d389263e4e720d05effd60a20a41b90b7e2cc1647319b4b143ceddadadfb3e571be68f36acc8d6c0a0add41266f2 +Signature = 0000000000000000d3a842202db1812f8dc93387ea6a78d01211d00911d37678cad55cbc228b2da495c0b88593d505696ef3be99a6742b75a12555bbede5f788d4f4b7dae4e6c7da82faa2d7e60f836673bc0bae8cb75a6a94480970c90a412e49ae7b0cfa63025c1444a746c5bdcf9d8618cece33549043a98d05cba7673fb7e4f835e624b482e85b3b2aff7613cd58f1c8ff2b0e6011e02f5a3387708e8e99970eb0288afed53454df7804b583de58bb7b93041d6c395360d84a9b4c9744395c1f2b05acb932c7aa8279b6012e06347559a89e945bb140119d074c19ae0608cf10d622ed32234d3f739b2a8520288bd1aff00efc87b14f294837644eef5afe6c938229e9ef39c35032e57e36fdf82ca625f4f78e796b6e19ea0825333bf9bab8b280bca94b6858cde824db884f808f3ddc450290c3441ea4d32430fa701fff0d7e51c1ab829c1a67fbbc0776cc47e288e7ba539349741f9ebff591f40f47180a4438c998a73edd087e57325b4e308c2e1ea8097c9718f3547a0876789d0a808e1941fa5cde1523934b08d014ea974fc867efec161ca1591f29b4e34276fe045fbb8aa1fbb69a8693c438d47903b63cb6c9d15988c5025b0d84e1bcdeeef466f4b30373eedddb216bf1ac20e068db89a201706cd1f0b9781944889a71ca92f8b9a86d086ed63eb71b6412f0672a549268418b17f408723facc10a640d3977756f41b2934d3a76a64fe1ffb29456e9634d7b839e3b66a744ef0d4beef472a2817c5e0f10a91119371df30de7dc394219c95ccad24116991d53cd5b2059f48d6ffac08a5869c94866d7932ca97760d55ae5af8a978f91a934e21922f0b9be5227bb9e557d20f6d139d71160f29fbe23c0757e4e4eae8524a38b00043dade86aaae2f3bcff6e65f74410863b7f5e585443039cfa12dc17243049a4f9cc6b68ac0874a62f821519f027d5b658c3e8cb724fe469001c6de151a407cc48cb966fd5df819aea78f3c1b291a453490ead24767a97506d635029d5a1182f05372e5a7ca3b7440446733b500f26e3137ef5e01f145989ebbce7e72681cf3213b599b3d44e73b8fb2b06b63a12d59bc33820af834c9b48e1ffda08727a1a0d092900c91f3df1c2f74264271dde4546cddf687e5a3d7170db4f7db3ff913d96f3eb45f5cacd5400128838625e3c8f852f2b1071d53a6f73fdc7fc67a9fb007519250bf50d3ceec30184cbe4b4348b9d04eda3cca4de611aa9d9e21179f7057d5229fcb8c7599594fdd17b0dad86df88b1d92f29218f7aec8478980b58256d0b3f22a0a738f2a45bd1845ac44e20f18f5619d828e4874e430c0c5d36eb80f9ddd1766782c4e0eadf20c971941999cf3365e28022d13ddec97d9f6c7ae8e04a6e2b50711a6087ef607a14ed1a1245cdd07bebf086f65ca32cd258d4b9b9f93e914a1c493f6d9eca4470ef6655139e3b15d41486fd80e755379442827ce2f73bd1471523e0103ac6564e185f5f81dad524bfa91a311d919b86b4585a171ae240191eaa78320d44b4062bb1bd13f807db23fc2f9849cfdeb6e1023e234a07e88318f1af60a75e7f167be568ed0ebda558b5007a85c3154b6dab837fc9fd3015d4b262502b4518f16621e945d7fe2b5591326e4d94af0f3ef7c289027c8aca22c9ab658017fdf31610b8994c042c501c25f3c84d609d1a4a6c122fee6b63f735e28dcfe66640aa98c9b88594a8daecd724bf1bbaf847764347216ffaae0ac41eeba945dc74af17c463dcfac75279899deebe762f8f0858b2fa2a4e0c5c2de0d20658f0321ab6ecb6db62c67eebe9d3d04d53a987639a70f142250cc1565301f809e35decdcaf34480f139a07781f6b39d4dabe11dafd7c4baed73ae540394cf223ced39092382c26cd968e21a97bb374b466dc34c7b25a93b876b766728f385145d610a3e793d005c88bbc697090523b280b38225576220571e1e7615656583ecec3677627a6a1e298bf4377dc9196f6659ad6f3731d6ab1a7c8e6bfa4cf50550955ebdd47f0e42be07ef4a788669acb8f403be85eab1789000184bad8c2da4011c3fe77adac3bfccabd892bc2a4a08969bd0d01620cbf2a8664d656819cbe30c8d4f71efe0dd9185b9705e82846466da99d06184fb6b8023ae31cc2f1b3e9a967f787645204aa414df00b7ae9026fb9e28ba8479ee2b46dfbbb39ca86b5c360c9f5c512e33188ed2770cb8b03959288bed59011d63534f9094def769f85e9328fc11522fcbcca648ccab654850c34f245f157349ba460f621fee2bfe0b4e6d89e88ab6845e9bb0b6056e653fac558eda8bdd5a3e8c44649cde9b5389edf7c10a2114ca7c6dd2dabee1f4d9a695303a79b4f72c27fc82af6f0c26e9551ef3a489e4f5e2cd9647b75ba75413c41b61121fd7411099fd5ec5fbd87d2b4998af3e484b4b2909a881cf9989f89ae190704dad08ddadfd6687cc273e56a3b13395a942dea8fe26e3d7ec8b0880dc8c51fc850354aacb05bd175542080d0c87cea99081adf901920ea6327b761dea28b61951eaec23bc9dc30d32dd0ed4fcfe39f575803f874d72d71d48ce8f26d47b0cc74881c54f80f41db4718ec04faaadfd93af8b8a258527024658fb28d4f6983daa01558f85bf8c6120d355388c302516d1fda5480961799ac8b5e9b485bc579675f03ce604a103df21cd31add951ad0a3ae1ad1788444997eb12f78ba96e909c74543eb6d0dcafae60796632e6888e3b3d2eb6d6b733aa53c455c04473c2213494570f6c8ae04fef4307419a7d84c87ef8a9ca8dc62177d2bc09fb1362ecf7a6e879b51b0b27b5358356689289d09baec2f204adba0a20c05a5e7c59f10d4c9f0c349ed71b2d08cfafc96cb97de01fbc0484b2a05e93ff0ffc2c7ba974933e10aefafbf440c75cda179b6dc09afe81ae36080510621e77d526d677749b50250cd83eba1c7d9f8b594d711402b10430a22fb83faa2372c1d6c88787bf82007ba5fae0f3f17836f9b2d9311366e3506395f9a0ab17731f6f792c3fb7127bbcbcad9ab39a6e59cb7f0a2ee36e66644d41b84f5dc57d27a69cbd9beb840e5d646e4d13af0286e7d31d9ce93fa896889bac3f124dfa696af3d60737f71fdeb9c09f3d0feaa1fa698291a7474919388b7c014f022d239dccc6c760180bb34078de1f7bab07c46d7d9244cba43c3bbc2c4753868887c129cfdf2857a8e07d18ef99309b85fb08980f4258806d7a618502e3d9c2de7f33c3e267a53b7acb084797c9f346b33a04e32716fd0e85b13ef7796bdaa3dc46ed58a93ab61a516990c04be612f1c7e341c6267ce8b9326efd200b015d2f0c50b8d9cc0217f758659df95d86f2d3372cdbbcfe0a0e1a8719a46e041b9bed9d194b98dd74f3308a7f9c0a068bf554861083dac5b6a594fe83f9111547737fb2d4d712e3aa1bab6820fff37175b28f1a81b06619c99b5a89b0f2c155174c8137a63b49ce94801f0500e0ea53f26313e3dd203b74d409dcb46c2d4cc0c08dcfeefb89ac66d19c95a14feb1bee4a646fd911b + +# # Sign XMSS_SHA2-256_W16_H10 [VERIFIED] +# Msg = 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 +# PrivateKey = 010000016b454996ecdc4035bd8c277df668b773c3dc6afcfc5e1f4c62d28a26d03ece20076fa56809e17727a0226e7215c8ff78df6c88da77886e971e1fd1178ee4f0cc00000000000000260ae58601b7ed1b51cadb82cc34673c4e9f0b147716fe311ca6d9a19152e494d2b5cb038cf9a718d96f504bf5574428ce1cf32d6917f8de9137ec2893c87f9a7c +# Signature = 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 + +# # Sign XMSS_SHA2-256_W16_H10 [VERIFIED] +# Msg = 39324feb180aca683d995db187a075a910d0 +# PrivateKey = 010000012f4df507528be5a7c45b2d80349336869a33980aace2b6ba6746a12fd528a9acc2eab76bea069fdf6d066f1261acf2456da5c1d4f50b977078c9ce0124a90795000000000000010f16aab1b0d2dc9e595682bc8ec92a7a458898836631130918b67e71556a7388dd15b9901db169687c884731c812532bcc51044126fa96450b7ffba1eb1bc0e924 +# Signature = 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 +# +# # Sign XMSS_SHA2-256_W16_H10 [VERIFIED] +# Msg = 458f4d30f1bd34d306092e2de2924c259c3bf53de876188f3b1fc0b194ef548b3a60f874b7536d0b402b8520e98c8fb722f15c653d1b4fa63df8d891cda1e747f8ab9490b5f0b1b0e9df7f92ef172a5c449d4a10911d765b14221c70f8d7a1346b60e0ab8b6dd00d2792761b74746de071c27a83338b236f592b6ae75ff672848b34a3ca5b2783dad72e7029891c24fb77972bb4a7f0481547e8ba4ca62a0c8443acbe7d815f257ebc8d51e0dbbf1ecdb7e48e31e2ceef7cbca409da63bd3b +# PrivateKey = 01000001dee4083a3b5767939ba8f1c38e28fbfb57e9eb0654e0c8a68a62ff71f193604057e5ef288e7bf4513dc3da8807622e808fc7865b8ccae0c5b9005134536ca2f9000000000000002398b69617d0fcb1d4f2a14314e1c809e926c012c3c4f126171acf2eff00271459e89d37e6e96fcec8628c6588bf28997b64e7d1004a457fb3f36a038f1b3722e6 +# Signature = 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 +# +# # Sign XMSS_SHA2-256_W16_H10 [VERIFIED] +# Msg = ebcc54f09738db1c5a24e315a7280d4cd8c266ee1024d3b32851fc49b7ce05c2a43eca9bb7d584635eb2ed538d86d773f4bcb87a3df6f595bd1e5b4c8b03a70c7bdea8f441058b133dda4f409f099a9b68b6dfe96de5ac6869ad5aaa9cc8630201c8df17f75202ee3069e5f912a88e0539fb0b04d487949a1f5a4ae192e18c24f1fe24dce1ba1c00c3bcf703a547f336594f87d1d2ca98a9096d4da24725601b1752e7d7f1986d9ea7ebc4caf50169065d05997ea6dc1e6937c1d7aad19682b10b56f8ac4c148122f9e906ac21aa0c3237b41f362cd869e9d25216c466f4d2a885296bcae2f02ea3 +# PrivateKey = 010000015be1f58a08d77dd7272a768e065da87a51c1119d1220e0ab474e77d48546e95a26b9b3ea21f56e72f7d3f49d74d9d4b026f02f987f8c14decc283b9c6e37d3a500000000000000e154c8755dae5e932b1efce973da5aac03f73a9a9eff7453318cfcc103fda6e9e0bfc398c78caf8b70f75ad1e0880c62adeeeeab4369e62a984a5f51967c215e60 +# Signature = 00000000000000e1c08cb6ec79295b5db6e3e243fcb273ff3beecb9e7973cb6a2981907273d4f8a5e796f071791ad5c7f9842679fbb7bb7f99db19af2f29de4ac70bd9f31e5b1bb38ca3a4a1444ef23cd46ccf998d637804137a59d30c6f2b141d01e9a0a7826ea3f38ed55cb302e97e71edfcc4a3e88a077427b39d0931403d4ab794836cfebd4206c488b829b4ae56c35eceb96974c3496a5b8eb590bb7caa53d824455ef381b02b09133160ca007f4c7c0854e6fcd92842731583b4f0e73f840719a43f45272a6bac1a66df28f8863b566cfcdc7daf51488c6240ce49760394a7ae66719565f030900df8a0cfd234e47144abf73b0dc4611880adb91bfccc6002cbc98ae543adf71ce7c8b6b9f6bdb3d13cbbd4c2f85faa7455c5634ceebc7a23bc4b7a7a1dcebbfc32a8b1efd1ae91dae2b6828e178d92f8736304ae84e07ccc2de6e060dd62fa523d355584cb0a9087c3d71d2c2bcc56301da7533499f934e88cb7b519a7e5dce8b278407bfacd85133abe632bafb0dc0b6d3d0979229ac9904739f516e7c52ab18fe1e2804c73a59db242cd706a755ecdf8873b2c420a1e17904d507bea7a3d47df4753a9d3a32ffbe9ab1da86ae4267da164743d59991f0f67c7fe0daec886558be98a0c4a21178b666e28844569ac4d0278eda83bdc2904612f1282d5350896b6aa3714732ee90054f12a856194acdfac93f789a521e11a01eb6a867eaf8909f6e715b31bdf3ee4f8038b5a30589b659ab193eb039844233432a60f5e93d036fe71899c3a04424ea007a0f7e287ba741d9165ec4245c3fe367a229464d5a459567a08c065144e067f528a1a6127377dea663cfa0426785daa907a39968c496b156ea0770b6f0a0d363e7049878f6ba709d72d82d9d1d0abb8c31566ad5227450cd9eeae55e51b78d0068af91d3b2ee8b491600a86ca2e0e0ef1eab000032207000aa4dd72f7877ee314d436fd8188e5b920794c79c84924b313f0e6f5ea46ea5f37583c4946709c79c26accb57160dd3d2397c10318d9c39abe1f0388425db6e908fb628bbc8e55286f4ef2f47e02cf08ce10951899c47a8b644670927a1db63735193498d5b867a59577b5d19373dc17ed508d792165ec31822bba1e17bc6ca02420730bae568bd95bb1bdfba37f7720ef937c39c7257232c55a8cf33acad7ea1001023640c432b1c4f8bdf693bfeb121666685ec33545dff809d7d4973b7f7a51f57f2ea48042fbe012ac22bf7314c38996153e5c4d48e517bd48639625c2394972a5fc099aacffc4aeceab6803975be4cb06c07ae8e12c1cfc2136b7ef865ad53e46dd54d21e7b0b2cc075a735005a4d532235035ab9f983fc984e726b7d66e1b0a07b3075e2f1fff77bed62864d409e50fe6e8e803c39742075a6488f9093d33147e0300b0580324839fda11a716a04a27481f8ec6f2aacb31d324b3dbe486595b0dc4b092fd7bdf6a02076fdde875398f7f056f007d5c4340a13313338d635b8b2dd65dc1c57e8d0c430e25448058b74e0e787db2b5838c44dd3b467fc8fe2a8dd321742858484ffe1fb74b004dc8d0563d85fb3e92ba9dbf2c72354b395120e22507cf5ecefa9293a2e26cda592a8db60f4ce71637373132e8bc6c83ebe162bfd9269c8b6d31fc264a74fd5673ed2596d16244227f9a7b010290c754752e48f36a7eb4e45367c7f92d5c82cffc50ad92b9839018c029a17f330111fd25bcc412dd4cafb08dd7ebc2780d6492e14faa90c3bec74713651de039b17eb9770935ddf6be87917ddacf0bbd0222ec50a0fe81a9dadedf602b3034c14275fa49a3fcdefbac380d7a4ca9e3ece5bca19e783b57b71453298e39d548cedbe07b512d57ec399ea76d20e14d3709bd8fd5bcc6aa057308b73057cee4e86ba19812e19af12a37318767c6978cb9a61171f0ee7f2598cac49b3b838393a44afc792d86aac1299a88764852958d4e6f13bdfc2c34adfb0b2dfd522981b29f458b64c97e30cb43e5dd47a252005cd815ac5360227bd55e576cbb19294858a4a86effc7fd5eb486f2cec0cac6b3dfb0d43c0adda244d43a2e06b96cd21b9c1b583637643cc4b77538bcb5196cb7babc763af87cf13ffa954e247f2c7fbb87f089a6a63ee14f6d691ce5cec6500acee39c1bc06a51da4733602d50a84758f06a82e53f07a8e5cd2e280bcdbfa84d4d3804d0e9f38c8c4c5c614a89ae6d51a74c63b06a43d7952bc65a884ee4a8905f788da6f36d0790be4b8b4fa336dbb845afd9f332f32db794252c758f4c7f24629783829a9e60d693bde46bae958282247198e6886f58642415c2f1d2c035aa116e0a95126128ac4181531bd5a3abcd0009e34c003c71b1b4b394b488086bc269f285176352cf1a892925f76fe9ea3ffb0d72e9bad0e4c83477f9a72d922dc96893b74228d4afc1bbb08bd97d5b2f5a7ca33e73aefddad59ed9184f9dc7d1b3aa7b174ec81b7fed0159c1dce093c06cb1e2eea45381192c34b0e95f8716b115f5c59b76b39a1ec3b22e2b45f2c46686055c930a13224219fb3933a8dcbd8a2ba865f30986a965502c257b39853a903a1a621cf90302076a9b822616faa4bda00825ef1906d843745d58bf438d3f49847bf3f0fb6f3ed49db1eb774bcaad79c4309a66a317df0697fd31adcc07cdc690c79138b741a68e629fb3c3f7353e8ac36f5d07617fa93a7a063e0c8d8790555792af1125017907e6df4144866cf5dc4f926749443d086187cfdf249d4e14982a42b7c1051be2f851f9d475d1728863b49d3aa03625e86780e0d41751315d6aa55de7e4698056735a6465d36634fee09732c7a93215a2e05c2b602fdb3af68a410143c8f931296c3077ed7f3753ba3199f39436b6f8351ab65f57ae5bfbab6d809a5be7b740ac775ae25c19361342803a3951a49c202335c133532ee1eb3cf07fc98b5f9734241640ea083cfe4d8e0207562de6a13e40a654d9aa6e32a99beb44cf48aa68c5aabf4d8d5f52d628f6a05ef48d5c9ad7c1a1b4bfd9b15ac521021adc96382e2eb5357d14c933278c30b74c5092ca8ff4e36eeba2e6a1f74b8fe7aa047467d0a4a63f90c93c6a369fa6155627181e759cece0fd8fe567ba95b78770638e4220e3233a6ffacac9830eb85448c67f037667fdba4f802095b3d54f3b15c1048056ed754ef3126024ff6e6173e94fe5626ff64c79e5de6b60c391f77ef08e91094a76cb7c6a8abde6dc36b69863f6eb9104d47e91f237ae7373b3918cd02134fa8d8ba870efb0d444ffede59539e102846475ad8a71ea67c0cc177cf950c9437785b2491f070dd8fe6e34a4966f43b89186fbb21bd8ee2da529fee058125cf77115a4f657d1983782ecd5f5e2170ecbd15fd631e9ca668ea1d2c8299c103e13e4a447bc5a4aa114f9ca241e89c4d7d621f0453644feaecfd14de62773c0522345a9a91d7e438c164ccba2d3c7e0402aefdeee0bdb3e0d80db7aee9a10566fb06dcdbf9eea5cde7827e9e8c4be1a88c45eb763cb36f157611d307db92470254702f70 +# +# # Sign XMSS_SHA2-256_W16_H10 [VERIFIED] +# Msg = f2bf311ad45cc27c6d3263adea0b55e4c856d5202ee4c07f4b79da9c42387d70dd2d529f037bf4ba99356e8875f0c5075a0d89d1fa699710aa5151ae49eabee6b4704c28b45d27590ffcf23074cde0c00e52bbee5fcc00bd76c3efaf71368526c0fb7d30c3a71265b9480bd90e655670679936ae36b627e1bf83c621c3d1b5e36bb928b9c720e8 +# PrivateKey = 0100000175f30164efa8f83f3ded130ba833576e92429bc29e19f3e306f937f607f940eaf7791799b7c6dd9e096d4777ef9c1f247425039210a00e1bb5ab8f34c94fb98800000000000000afafce1eff389be71998c3a377fca8fe8c93a6c6008776e2a99bc84370e2603f4862ffe1e5683fb144a1cac47088931f9fddf25594043ebe9d64539b3e579a05d8 +# Signature = 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 +# +# # Sign XMSS_SHA2-256_W16_H10 [VERIFIED] +# Msg = 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 +# PrivateKey = 010000016595107403cf900b50d100869665b8bcfc1cec30faaf4f3a22234df8329dfab1847e96e1775eff070b701b288f0fab9f8ded64b3875a65c83d3663e3164e9a9a00000000000001aea4fa1266f87447a1c6f007099ccec9ae4b6d942ad6df9f42dca8bfe864bb09b48438da1e2b2dc4e49deda9d2acad4560144877d1f89068cc265ff647a9ec73ed +# Signature = 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 + +# Sign XMSS_SHA2-512_W16_H10 [VERIFIED] +Msg = 53eb75f30f59e6008480a5a6bfa28163922b526004a0476bc445b47cf00e75ad85b8f006d1ab92db3df6555a8de91a742303 +PrivateKey = 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 +Signature = 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+ +# Sign XMSS_SHA2-512_W16_H10 [VERIFIED] +Msg = +PrivateKey = 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 +Signature = 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2ff88f80b2be2e6617417f61aa06ace50404273a5645cd7b18406fccfa1243eb866eb6c9ae7a799b060f6c0fb606b35462e77f0a14ce2ff4a387070894f9aa61171f8025ba5853c492a6cfcb6fc1572601b8c055e490545cdc018b109d526a79d8771d3afbea4a52e68293ad16769bfb93a48ba1a64b978855eeae46bf8d9c6c3ab027c334322a6942a1a94b2b812d5d4d9bf9cf9d67d75028ebbba6ef06a74dcb1244b5e7a250d75f8d4d8ac323b08f57dc3191548db362cdb7892a0fd4c5fd47ae4112c700fc9593224b6b2d97b2ebc851d687d8ff49ca16267ba8726a098176412d63c391883709c231f26c0e021d8bba281ed5f83b6462da925ef57479ede0ee297d3508aefe2f2a6b4bc38bb25915f6946ea5493f689d352eab76b19ce05f1c2dcf343160268f5be3539b6ce6f3a1b8ff5d7d57378f5685a357ea58c9f70f50b662131b15d12a365bb07ca27a767be85a8526bb9e6b874317e42e88584c1f2d47b64ed693a6ace208fedfd06f0f9bc6595a155f8739a1b4b1f9c53461e29a60c0eb0e04aa1e91c36f65df52ddd0391751ecc4827426c14023aa0887255f85427a64c57f694f60b77c0f7af61dc448f25c280b13e936c48e7746d15d28b669afb4ef053969a6f162f61c3ab3bca69d8e79aec711512ca1b6af811755e102945bd76d3969153a6bd9c632e82d628473641473dd2f1b709df709ddc460dcee916f301554f50c351d7c6fdbfb9b2b3c20a66d3e4b4cae777b406edbdeab3d88dfaddc48536a16335ac415dafabc43acb44f3cf558f7b9a8940ac9590f649041ef498c02fd84bd7d8c3730429baebf3b19e72cee25f4a453d00b773f411ea244f8eca32e66dd81adad8370c4fb4b1ea912a24cc2de78f851cb989d4436427f421e3b7859cbc79cb3eac59726b734c288a04045bff3a87c43f9ee57388428496e134661f3ff1795b73c65a76a455e86d5a430b52899639d9ae65096d0d491b93e47fbcd493455655f19ce92c17f48bc7209d35fabad931aeb9e842935d4f9d0b00ab420830a24b79f7aed70fa517bfb71e1a311396857b060f455ec79fe10507680d0fb0ed73734cdb6ecaacfd3089d04f860a0d2eff4bf2d7cba7eecbab13bab03a067808473c658c41f3a54eb59e547e8eed24ec6f9c2535f6fbc11e02bc14e8a4b0ed887f014cb186ff25c74f7208cf90140d94aaba19bfce203cd58412995572b8ab630d3795b25452effdb11717cbe9a66eba3f4b4f7c5a20d2ee87c2922cd3a58ffbaec5a0be2ece32b6c514da3f25e861e5bcebdfad31d5f68ad0374e3c7615a44897a277201d3c1602d9409da81c34be710034a5cf36967e0119b368b78ad0c768c82baec16940eda90083d69b3e9085d2d98eb95709f808d885e201f751eecee6d62373495af92d520d564146f271cd3259314659d289bd6c3dcccae19d08f19192b1f1cf9f1523f67886a061f08ed8ae3cd40dbaac2ee0b21bc795a70be0bc3f8b706e5e694f3275792f5c87592fbb8bd3a4fe74ab741d0148d223cdd5f73d86997fa9c80e23676a9bb4a6eb813d444f4d2a6126fdda015db860acf03b724b0e88b3575d62dfa1a6993abfa0fa3f761b7637ebce1a1edddc2b24e776bc8589ac024f640c6d5881683830b37c59b4b7e71c4d4a02f9369410c8157cd7946b237f5a4831999837d8580464aecacabdbc30764f056490bb5b7ac3fecb589dd66e3d23a58c30376cd9cbf9d30c025ec4cc898c0c63ef622cdbfa00539375d944f6cd3e557fca2dcac0d7a501438ee347ae41d5d2ee20505b728e84bf8eb042546c4a3f834db631903e52dfdabe4d80945b8686f2ffd3e995587e0ab78d4523877ee17deccbfa5739b00bb21024cf007aef610eadea09b6625d208d682b3240214b88bdc74522b047387f95b393a699d16281312b13a5d33d382d26e31fa698c0c0c5bb9394496d29a28932a4af2aa05768f1053540870cec1a2f67589221d899089ae8fe84a8964cfb3d4b31fb6d4a4a12914d78f27e810d0edfd96603ec7da581194432bfbbd68a3a8ecc13b97ebb6c026e065cf73f2204aaf96563b526d2919154e6d127689e738a8f4b2682e82deea6fbea2dbd94bfa904959cecfd0d63c591e8306cd67a34366e6f6af2550eedbdb21365320d7978e0554d2822498b07ec95e6836a4726cfbf36924f1a166550bb88d4e1b9d4e69c0f179cfb7db53ffc0befc613adf15ba016b19630fbff2a171dca7b4957b244289afbd + +# # Sign XMSS_SHA2-512_W16_H10 [VERIFIED] +# Msg = 426e562ab69a03a893f56910a2aed2a0618da1e365167749e78beb4997d36dc054f34225797478a5153037d4154a90c88836eab69a7f6783237143fdedbdb6fba8aedfd98d3af16fa293660640163c0936ae072c0d38772013b0bbf97cf44b64c44acb62803a7b2b374da627e47a1135782f09537e873aaf5bb54676bb5195aaddf73b64fb9b32f3054829dc0dc0164e51e9efa8bb5e9daafd97a85f0b3591e8c06232e6e54a3606cdf93a05df506905fb69b7cdecf62145d5d1a97fcf055b69d35c07861bf3532cc9bc78058ef266d8c98dce0af755c84fcefa69468d4a9cee6effedda0e0263a87573eb3e1d9f765083c5fe5e3598caa2874d065360e7f254fe6e3c3acccfe63ab3 +# PrivateKey = 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 +# Signature = 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+# +# # Sign XMSS_SHA2-512_W16_H10 [VERIFIED] +# Msg = 39324feb180aca683d995db187a075a910d0 +# PrivateKey = 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 +# Signature = 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+# +# # Sign XMSS_SHA2-512_W16_H10 [VERIFIED] +# Msg = 458f4d30f1bd34d306092e2de2924c259c3bf53de876188f3b1fc0b194ef548b3a60f874b7536d0b402b8520e98c8fb722f15c653d1b4fa63df8d891cda1e747f8ab9490b5f0b1b0e9df7f92ef172a5c449d4a10911d765b14221c70f8d7a1346b60e0ab8b6dd00d2792761b74746de071c27a83338b236f592b6ae75ff672848b34a3ca5b2783dad72e7029891c24fb77972bb4a7f0481547e8ba4ca62a0c8443acbe7d815f257ebc8d51e0dbbf1ecdb7e48e31e2ceef7cbca409da63bd3b +# PrivateKey = 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 +# Signature = 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 +# +# # Sign XMSS_SHA2-512_W16_H10 [VERIFIED] +# Msg = ebcc54f09738db1c5a24e315a7280d4cd8c266ee1024d3b32851fc49b7ce05c2a43eca9bb7d584635eb2ed538d86d773f4bcb87a3df6f595bd1e5b4c8b03a70c7bdea8f441058b133dda4f409f099a9b68b6dfe96de5ac6869ad5aaa9cc8630201c8df17f75202ee3069e5f912a88e0539fb0b04d487949a1f5a4ae192e18c24f1fe24dce1ba1c00c3bcf703a547f336594f87d1d2ca98a9096d4da24725601b1752e7d7f1986d9ea7ebc4caf50169065d05997ea6dc1e6937c1d7aad19682b10b56f8ac4c148122f9e906ac21aa0c3237b41f362cd869e9d25216c466f4d2a885296bcae2f02ea3 +# PrivateKey = 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 +# Signature = 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+# +# # Sign XMSS_SHA2-512_W16_H10 [VERIFIED] +# Msg = 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 +# PrivateKey = 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 +# Signature = 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+# +# # Sign XMSS_SHA2-512_W16_H10 [VERIFIED] +# Msg = cac4ac80f64de363ea22fb8030e5cb2f78c3935ef64de6a7233ab9e02e538ea1df7c7c7cf1bd6eee499a0f14883305273766f909e6fc1a29ee3adc5cd53fb60cee3f90825b86563d +# PrivateKey = 04000004c04666e9dae87ae9c9902e5dfb51b03456fe1cbb6f9cc3ee779d0ce84089d4f35481147e1a11e92db84c2e767364374f72d34e9840ed7e7c4f5b6796a28636299d6cf36f2d6c05ec409f11de398f4fde26fa01cf74d6d288256b0779317aed7d443d3a574adb8f71dca9f1579fc0ec022c757d0a22087d68a006983a0a92b2a100000000000001e39649cd8ffcbf4f2868c121507e0d55f37a4529585f8cd93730e37deb41cab3f89a602e4cc39cbfc39e5948906394c30a9b43e23d3fd45093f5bd3b93d49f1af038f9ecde211ba400d497c7053196cc8083fc53b9754537d3a0f7ff36013ffe55c025fd5740f3d5fbb68c17d90c6a9acf65926bc474762f69a1d4b5f5353a829d +# Signature = 00000000000001e315eb14ee98eb907ae9641f8f7e3ce7aeac1ea1a91ec98e007a0d5373b5914aadbf1b53bab5d7cbf351ae26b13e31aed1b51e8779852cb608a056c024eda449bfc68e807ec0d78a7408e7f6e7bcbc83d77168ee64ebb558e552f9134ebb8692d58f74cca5348404432b84febf6726eff437b950adc6a4c31ac5fc59a45ef9af656933cea726b4300c63b6f86c9e3a531e8bbd4c70f9067f811e3e179bebcb551adda6b7598c292d69a2c00f514de0b27c110c3bee84fb4e3b3fb8b9e7fdc5a59584b7b7a7ab5afb8a9007721bbce79a80886fcae251874dff1df7d40944252bc70b57dfc53adddd5b65040eaae3d8c633cd1a169b9237e829657394b6c644fbbbbf26fc5b03cc6bcbb2ad03532b4b01d19f2e458cbc4a9a40026f19e0653856967ec3a8eab2ee2df7a09e2051c7a56b47c486bb8fdcf876d71b0196b1f4ea793563bbb36a79bc621abc804fd99e69681d36ec91f01b0178bb727045f492d794acab282067ef4765f557d885b12c96a0661bdeb0a0ea84c48d5a4ac1e687b85874ab75e1730447453a3bb9cf2830151321e926938a09bed1829f249925d2f76372bf1199749ae738ee5f52c10804a5ec07fa0da06d0d6a51353697ff2f070c367550327871bdc4cc58a059d3495f12558bb0480777dc6d1e8291d78dd511428967e6d42a4a5664389abaf08049668ee4a4fe23e3b8ce4f1317b7d49b091cd39cc8402759f9168178614a83dee3df22f730000e7781635d5f9dc67a780c5a505f0dc5544019f3488b3f5f370f41eaf62a917f3193bccb8001fdb8e271fae6a0d0e35fb56dbbfbf6fef6d6f74fd79ba1c64782217fb105d2559ce9603ad40d0cd690b7e65d0453c31900b71eac81ca7d0f3d038668228de6314a4d241e7572539f9e6c71672574454e2c5ccf04020c9f6466707477b0e9a0af2edc1224463a620622d1102e66ec5d8e8b5f1c6337134bfde6485f294c657e705fabefbd09195f255308c338681d2d4f52913fec03266c028e503ef2804e4fe82cb637b32aee1e9f12440db77576c04672825516c1a92e0a2efb51f0eeaff10f6f7b781dead230c4783ceae443c6bb81b67d85640b11d591ec724c870c0b66b93941004ccc7f1c362172dbd6b04cf2b94f60fabe026b5ebb4573f9f7df8879ff6840afd1df604c2b6180859c519fc3c77613500c64a93a9360dbf97ffeffa02e50d48f0c5057a07b10adfde525c687f107724b10f6994c2ffcaf0d11c3d031991a8b0dad3e913895604361bf9f7aff1057a356638af4394a5b884fec4cdd0aaf7d8a81cc30b3444a3c71cabe9af7e9d9e7c6d9423d8cb48f3ac84fb1731a23705cbab512d24d1f1854710bdeb2d2ad9b245aa0c40ca14506588958fc1f7bef1793b82cc45f066c878e0ce87ac98c17994cd04f2605494a42e8cf9412b21df8d2ff6301c1ce577ae80ae92b58674d9ad854b9554885d860f2d396122a9dad5c04764a9c872ab6392d06fe09bac33e79569a6922cc55f4ef981a50cefa2ba1d36122f195748ac929d28745ded5fc14a88ee751fb6dffcfab76daaec74505adfa633102e3724245e8a1eacc2f1fe0c89e1625b9ce2f027a2c560fa82ce72c3f19127a3048228a304439a52fbc062fcaa5482e04c5a203f52ce16c61013f0f3191e2f060a652b44e26316308b91b9951c434c1419b42675afa5e4813366bd93b3dd2dae6bbf1be7d09dcd390da7500b6edd4fc3974d150ddd95cefd576a3f4b385129969427d80d4de4fd61b679eda7bdaad43bc837a71ab936350627b0c019c91a21cc48cb8ccf2ae0c59123582d66a0db3d02b2941838a7be3a7113bba1873891213a1ad93624674a72e644e74348e44f18b703eae62093a61fbe1f0b25f37806d9ccbc101b8b39f46642880301fe70f2812a2e64fd333383a48c445df60d36d93e9cbe9f766a5c7e68e725346f79dea08c16ad52ae7ed0a2569083081e937ca630de2ce702110c4f0569b241ab893e44a6d5e5b140f997bed7e4e95dfa97d147d3027186e466cf92e1f2aeb8b7155f266e42e769fbca065348216206ce799ecd33b6c17fe4466ea0cb509b9d995f5fe833d5a56d891f565fcdc3905bcf20bf3dd225f85b9abe9435b9bb8e1bdee70c4ab219909b9d6f1b9cb88d2c90371553492c44a5547b1f5994df9b2d9e0e982f7b0293e8701f77ff757bb69a0f4b0f4f1ee689fac86c6cd8aa070371efb1d9a8f43725678af9763bd6a05e33713b56c22d5fe0a06d5a5bf3a5de22cf3283db49608c1c43e4b95597f660593ccd6cef8999589c8702a7d8ee21afc92446a4392f9321f127f813e568bcdacc2c19b7d278dc7170996057c417b3a7798b6c781d51fe7433bddf894e27cb37d04abdf723b74e17c003b85bf21c94b4370e0b88a4dd5da02e7a5c106fe467a03ecdd5018bf0ff030188711f2249ac852c2f7bb6cab0317c21ed43dffc9e0d2330de3e6dac657efe71aed6cd78139f7161576d510d73c1d3b97356798d94bc42f5a10e0f8e06b86a23f80626bb850862df98765adeff79c9fd7e1c73e79b5d0adbc49646551c62c97f9ba2d28f2336d16e22caeccedc8fda0ec1549e915b3f4f19eedf240d024128b15ffb2739fe695ade8289e4a902cb392ca377e25d4c52b9c39952a777c9e34e428e121f911415c20e47852c731c89c28b428b1f51ae086f6653fb359807b6d4d8eef97dc553f27f1d0354839783bf80c197b7f1c2e3073cdc2960472007f7d32fb28a1c73dca9b929bad8a57a01f2616fcac7d7c0d3e91b5cd1b8133df9b2ad7aad66b3871b660966e2157fdad041edf35de35823fe9805ac0cf3b707608d4a349fdf498b3eecf6d9c94aea9608756cbfd899f7faec884b03855e4695dcc33f73eb5bfba273e3d4f8d8b005f1a6ba73564c98f94a72c0d2999c9d6cecfa3978e2fea2c5cf996bdc20c99ed54da9babace79e0068744f778e82e24ce1a148a13a7d2d19fca6707245444575d9fbf12f6d2273f0dc8fc7295f9fef1ed69615bca302d6352a9b07d4ee639e2f9cd30c39951d9da90d66c9070dcc2b9869df2e376f1c820df3020aa87f37b496d26c9e8f4a78dd1a9ecc9df3e2fe9837032e9ef2cdf3ac26901cd2ecdbe1fdc59efe586e3288833764378f7e27849c0f48eb1171de414f5c4834eb694a76c7b5de4c93ad38c8b839ee8cbf0b4032fdd09fab4f8fcb967c94634f2f1c6e37ce78097d7143876c170c8d8a14e05ca3d06fdc281e89b7501e2378517b7a4baa48263ca290d65e8a1d8ef0407b8c1c31fdfb76c5427157b5c25258c2f0c45bdba632be85c7471b6814f15e13c5191440217039b134c3a5f5fb89dd7f40ba309090c2b453481add9d0d5600b11690add80948a72d0aa4079f070452e977759f34feb69e65e97b9f85da6107d6440eaee8b5de6375963ce993a8c8586fd4d6238299384e70b9d872bfe996273b712764c84ebec68320d3e26e567c6b3f48be2e715b283360f5d2be9a0bc8ea1f67ee52f864081389a6bc29ba61218a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+ diff --git a/src/tests/data/pubkey/xmss_verify.vec b/src/tests/data/pubkey/xmss_verify.vec new file mode 100644 index 000000000..e4993818f --- /dev/null +++ b/src/tests/data/pubkey/xmss_verify.vec @@ -0,0 +1,135 @@ +# Valid signature XMSS_SHA2-256_W16_H10 [VERIFIED] +Msg = 0d8a2b78908b8a2537a194af3b98de9355384accdd7d2e3b542e37dab55f0fbd8fe163e261d37074f7fcc3f4e7d1774cddc6 +PublicKey = 01000001c9802b0c3dfa2596ffde21b7b9abfed5094d7e936a96900ad7ca634ad7bffeade07f1a46e940a2630bb8da78dfeae742d5a9712e15459d9d51f2a22145f25be0 +Signature = 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 + +# Valid signature XMSS_SHA2-256_W16_H10 [VERIFIED] +Msg = +PublicKey = 010000014dc6e78c10845a071e9ca6cd1ad0d49a955a6305c7071ef967efbfd317563fc493c6003c3879279fff396a7db158859ec7476a503f0b349b65ae2b01f7c73715 +Signature = 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 + +# Valid signature XMSS_SHA2-256_W16_H10 [VERIFIED] +Msg = 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 +PublicKey = 010000010c453405f86998e392032927cfea7d8163910d073e6876ac3238fb5a71bf4f853c7843609ac24f4f42e6a26626d09f9ae4efffa67e63f426fa959268b99d5fb6 +Signature = 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 + +# Valid signature XMSS_SHA2-256_W16_H10 [VERIFIED] +Msg = 39324feb180aca683d995db187a075a910d0 +PublicKey = 01000001048a2710a8767b85e8854d79bc9633c8e915cea2dcac106e81f9e9c4c6a79d50b972180c8f69f448e5b416158f9f24ae9b6e9a103484ef013f7344c6927ada71 +Signature = 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 + +# Valid signature XMSS_SHA2-256_W16_H10 [VERIFIED] +Msg = 458f4d30f1bd34d306092e2de2924c259c3bf53de876188f3b1fc0b194ef548b3a60f874b7536d0b402b8520e98c8fb722f15c653d1b4fa63df8d891cda1e747f8ab9490b5f0b1b0e9df7f92ef172a5c449d4a10911d765b14221c70f8d7a1346b60e0ab8b6dd00d2792761b74746de071c27a83338b236f592b6ae75ff672848b34a3ca5b2783dad72e7029891c24fb77972bb4a7f0481547e8ba4ca62a0c8443acbe7d815f257ebc8d51e0dbbf1ecdb7e48e31e2ceef7cbca409da63bd3b +PublicKey = 010000014639bdb1988d68d1e5d8a40f197f8bf5452cca12fe6e802efdffd3aadfc10a30fd60f0911ef2e5c670beea26bb16432f850ba97326f016fd124c504ff2c8f4d0 +Signature = 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 + +# Valid signature XMSS_SHA2-256_W16_H10 [VERIFIED] +Msg = ebcc54f09738db1c5a24e315a7280d4cd8c266ee1024d3b32851fc49b7ce05c2a43eca9bb7d584635eb2ed538d86d773f4bcb87a3df6f595bd1e5b4c8b03a70c7bdea8f441058b133dda4f409f099a9b68b6dfe96de5ac6869ad5aaa9cc8630201c8df17f75202ee3069e5f912a88e0539fb0b04d487949a1f5a4ae192e18c24f1fe24dce1ba1c00c3bcf703a547f336594f87d1d2ca98a9096d4da24725601b1752e7d7f1986d9ea7ebc4caf50169065d05997ea6dc1e6937c1d7aad19682b10b56f8ac4c148122f9e906ac21aa0c3237b41f362cd869e9d25216c466f4d2a885296bcae2f02ea3 +PublicKey = 01000001e9e8f66300e3d663aab7e240665dfd0e5c6701dc1e1820f02170cc0527bbc38cadf2907057362f5c09284945ee2f6852a878517b3444898370de4c7f68e27beb +Signature = 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 + +# Valid signature XMSS_SHA2-256_W16_H10 [VERIFIED] +Msg = 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 +PublicKey = 01000001608f3f4ee9ebf93c3a1fdf166926042701b7df1fd38a49bade3254a9f40fc054793e35ae8344eadcb817a9aab91213ab583edb4c2a6ed7f8b8113bab4c0b4fe6 +Signature = 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 + +# Valid signature XMSS_SHA2-256_W16_H16 [VERIFIED] +Msg = 1c281fd8751cf07c937b53d5983b99965ab4ea03399ace872ececb00a38b883a21069b32fa4db96710c7b666044644ee4c95 +PublicKey = 020000024e878f70624ec389188f6dd012d47f5931de8b28ca8c6f48010d51cbbfe0e0ff8155dba28e73701e66e224e9a9b2e7a7434baea1a0342a8b28c12ce27452d9f9 +Signature = 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 + +# Valid signature XMSS_SHA2-256_W16_H16 [VERIFIED] +Msg = +PublicKey = 020000023e30eb8ca6d95296d17821eab7812699dc7ae1a3ce4277fab52bcf5715e2ede417ebc33bdf87d8db1284d4963168c1033a3b02aad245d8513e0029c64c098773 +Signature = 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 + +# Valid signature XMSS_SHA2-256_W16_H16 [VERIFIED] +Msg = 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 +PublicKey = 02000002ed199564625b97f78ed0d0612270209acb9478085fa06220fd692c348e664d3a3d230def6b5f2f3843e4c0785e7979ac434b6dcc39cfb4781c70be7078425435 +Signature = 00000000000036b6831b926b865fc19683807b6241e37b11f4c2d967363fd2e896535f3d2c4f0ce0ded210dc4d158abbb430570b874c7ddbd8bd1a37d463698dbdd146164bc5811429c327fc9e82827f77edd7be211a6da4ccff1418264f2b9062ee961e122323a58b4a0c597885f493c9d06c4c568adab0adbbfeca62794898a60c9cc654f910413d87fbed9db522b5a9b8347e4bef898f17464508383c9494fdf1effaffbf1a9efe10b142c76a1ab81e1e461e6078bab16b835493c232fd1d596ef410dff45ce42870ab73aecd8c9944fb5f65b89da6a48ef6d57ba6563a5eafce62d23b636f9d3a9736b2db749ffabf92d005bffd01043e8a1a01e2140390af36690a2d35d0e3ee7480cf564df6e969a47914d84cca9be5965cd5de1fa25985479c58b6c56377acaf6d886569c71ed12b718ebbcb02dd976a34c1a2c6ac4aeeb9a6177bff75a7da86c2a20aa5f123ad72eb593d1041abe236e869377552ed47bcb82d643a2ad2436d1fa6582524a74cf82df883a768932300d9f3a655579d32d381e73afec82621a768952aabb165c1c0cbefcd2918ebf7e9fe1bcca99b02b6d141239ec991fe8c124ace6078ab6f66a4f8cf2bcb792205197b0778122cf171a6d1b687c1d0906d6ab71ce68a29d19025e36ad538be44a5f8684a87da70f6dfeff94e7c375ced5efaa16aac66412fa4a0a1e55c61b794bf6847b5452a0ff4dcc3f7fa4e54ad306624864d0ffaa6b5f73abf73e255e88862d50ac97893f70253e18a6baa20705648cb8353e8f27b3b730fb2044be1b01b569dc027988821a9cc8c0cc18ac404bf8253ff13d9aa15c4b96d55c74893e0df589e0eb0f5bdc2c92486f49f40e9bef3a9a394fc76fba0e4ece57ea222ab3a1ea9a5209fe4bb83282525ade2920f6c0856b7f13af0c5951c86e6c8504452bb0c65a0b9e5ffe6d841e1fda4ff844296ee21ee7ffebdb8b8dd5b3d9810a07df036d06c24eb326f877048203c7d014b7ea3b32f19407c99d44fe42deb0e0407eb8c6b91e391f7738d2292035ba3bfda117ca959bf763128e6e6ecfbc298ab9aed07e2ef23fe1e4d695ee4641bad821c685d82fa7b4af9b68bd9f4a83aaf26f8f402de4ca5298da9f205947bcc3e7c558e138267b84012afca644cf034f9e92e6c838b3b8236eb95f186c0c1f6e7aacdc18f278f99d909f34db2fb166a87ea02f4e3791eb0829b6362567f23cd5e2f3996f0f0fb00fb67ffada971155f577f9ac09c3ba8859731a03cd225a56a26cf2395b340ebb86f88655fb2b8f5f927e934779971c3ee018cccd565632972bad542d783f05be5a7f786d839c43ba61869ca662b3a2691cdc4ad6c78515b3b989132002b91b6ad7d988240d45db2b4bf7b016563d222ce5c0b050a7a0a8ee234f828c6de38f154a71d3156f0a231cdb43d8845cdc30f351b041bfff0692d532b70e62bb4c9e2fedf99ec0af73f619349bbf75c51f67f2b590d8fdfb4c607ce2fcfd9ccb5b0f821371c788130350b2a840a52e51e5f2d5723dc5d42ca4a5af528ab797948a02d7abb98b49fbb5456dd5fb910a43cf61a013b1511e1b7b693f161d69bc8105464a234f3823f259e7e915e48f2a4a03d6a5ec6d49277d803445699012e141f85b5ef88494098a54e20ed697f2bebc387d0c3de114530479abbe004472d9d50d45804f525c1061e0bc8b82f6a6e0cf07e8494202afcb7daf91163e9afe45cea73f13953c48fe52f384fd053eef87a485eebc1cd2e2345d1c7695c47a57863eae4a620c210cfb6d9a62fd06e5de321f40a2e53f928e710c2026a6f4cd773a682809d87e070ae8823431da7c5a2d32356121b263ca73c6e8cb4b7d8ce593f70166bd07f94778cb2a5a957f45ac61b37aef355a4c378ebe4724e4f05c12177f4937dbc1a8b107eea62c15dd2f62c461f05f0ccd8eb6482611f331a50bb35d5ad0e13616ea5bc42da7901a5a59493d71e4bcaeb805e6e53aeaf5bfc8b2624534b809e2b862af5fd75ca8b05583ea4f1ade004f21327928944852833d2bcdc0e25b04b5053f028bfcec018a47ff5930f84075179f645c2f8e5c2cc2be57b7e1760a425f4387966e009ec2bee3639a761b4caa097909afc2bf944b62d44b15882982976437ae025e549e98c13fa7d4a181de39b391c516b45ae0e1b2dc477140e1428a0243023c66554987c0e6dfd365173c3af6a86a63b1018d1108b89d14057eb6e217906214c68051880654f4ec4fd67b5b8f8629c1f194d75777292128158142d5e3ea381cf1b02158e46fb185526533143153465a4333af1b5b4f29f5f8b188f9e284dcd20803b178f7cf405f0f180d24d1bf9eec24991ed5feb8454e15adf0756d0f19cff1af3432e9058e83c3d12c66d5821e856fce9bc2bebfb8d5e548ae44d638ebf6065b0e4413b6ea700c3fdd022c238933b47059ebc8b27dba93558b1508e6daa9cd5b5ab8f4707cc60550133d762380f55d19541722d55d3fa6cbc9e957cc1ac916ffa3c3071720d4f0d899c6b0b227871c2b79f84ca7b496f8b48b95361ff5da6584f4a443553217b267207c0f701f055edab6a1e4e80008622565da1bbc98246fb76fb86bcde76fba3c08da3062dd78cdc6608aebd40d885af665614ba248864b21eef8c9eaa941b26a0f8c47ff18a3aac4285828790befe6277193a4b47e2190dc2e8fd45983c87e086497e579157ff8639f7ed9ea4b6993569d03c7ccd875078dab10df749cbbe6a89a9311a6c31c3903e71caae7f60c8e0e15e9d07b050ff801e04fd0c9f4252f1000c2611a98862d44926ca467d0067987bf09ba135454888b1a0bd2ca9c979157863697ee34d01fc66ca333051fb44e423a9067ff3dfb9411438f34f7e217a291a389206ff82168aecab1d79293ed26260b83570c20919a587fee93d919194e2cb9240fe44ee12b8887c6b592480321eb81636b4497b9dc8993efbe2d06bc2788b506fadad3a75bc100251180c5cda941de0b416592fe51ced5f30f45502b1a8533520ece25713cf385a64eaa3d7f782de7a0fc6b2dceae210bb8ef3a45c76fc99b6bb201fd5cfeb79975ed5fcec11a37e3009a12773d3ffdda417895e27726a315b12d5b12cac06e630f4cae53d169137759affad0b7779b7290e30db0251d48772c0cb961cb676079f4f0f7405a4a9aea2b40dc1e5b0d591a334dadc8c072ff44d2f451a06b7ccd469be3041257614e0c1f592b3a8d486fe650238a59987c67491d5052b65e7270961ac7bd77f649ec1619dfd18a9023321195f401d830fe27724fc74442cc80502ddba018458f219b0e15805305148ec0a24266a110606b17c2643a83f7ef1b1ac30be91d8792c985cd686adef939cff629ebb087a8cd4bd74694405a63cdc9200cfb4eeae8ad8182cd4b60679ea818785f277e6ff676469ad9fcfbc3adb5c8c3fe5dfb2ce07023a986bdfe6d3e9ba778f32a79ea25663482a8943936821eafaa40dbad5a9ebfce7b985d0ce005ef55fffec94bf674b218ee3ebb5a10b60177fca9a5c1aaaca9c40bf23d065de2ce89ca43a0640a11c92ae9d47088afb58678eecf7fdf8326cd8528d3ad44a8a06ec7a61fd3dc1d106872147b62e11eef38d10c52458ab1eca59f3f3d09a12314ed4442136a18cb498f964d3a6e13e8cf95dbb4e9aa81bd6d55a6d491fe5f478557897996cba7924e10153d0c6efcd1da9d8f8f81c0f74be627efb9149b9e1c4553a32fae92f6e5feb621c393f2d7f52cb36da86730b53c292fdaed4afd2e5f47a5313c3d2c3f04ee9beab7be6558a9d755fcc663bdf9715be3d892689 + +# Valid signature XMSS_SHA2-256_W16_H16 [VERIFIED] +Msg = 39324feb180aca683d995db187a075a910d0 +PublicKey = 020000028d564c98b0fe8d126d65e7fbe5719481410cf097986b05951ae132e7bd98b319d84fbbd942b1b07039fc41b6dc5538d2e16882fa30ee1312d736b7cf1fdd7885 +Signature = 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 + +# Valid signature XMSS_SHA2-256_W16_H16 [VERIFIED] +Msg = 458f4d30f1bd34d306092e2de2924c259c3bf53de876188f3b1fc0b194ef548b3a60f874b7536d0b402b8520e98c8fb722f15c653d1b4fa63df8d891cda1e747f8ab9490b5f0b1b0e9df7f92ef172a5c449d4a10911d765b14221c70f8d7a1346b60e0ab8b6dd00d2792761b74746de071c27a83338b236f592b6ae75ff672848b34a3ca5b2783dad72e7029891c24fb77972bb4a7f0481547e8ba4ca62a0c8443acbe7d815f257ebc8d51e0dbbf1ecdb7e48e31e2ceef7cbca409da63bd3b +PublicKey = 02000002f321ad06df6f4734eccc6daf83ce1b25dff23e4e2d24e65fe1b41df2e6169078bb7aac42e1466c2482813be086bdebb1b29e9684eb4448e0ad77e84434ade373 +Signature = 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 + +# Valid signature XMSS_SHA2-256_W16_H16 [VERIFIED] +Msg = ebcc54f09738db1c5a24e315a7280d4cd8c266ee1024d3b32851fc49b7ce05c2a43eca9bb7d584635eb2ed538d86d773f4bcb87a3df6f595bd1e5b4c8b03a70c7bdea8f441058b133dda4f409f099a9b68b6dfe96de5ac6869ad5aaa9cc8630201c8df17f75202ee3069e5f912a88e0539fb0b04d487949a1f5a4ae192e18c24f1fe24dce1ba1c00c3bcf703a547f336594f87d1d2ca98a9096d4da24725601b1752e7d7f1986d9ea7ebc4caf50169065d05997ea6dc1e6937c1d7aad19682b10b56f8ac4c148122f9e906ac21aa0c3237b41f362cd869e9d25216c466f4d2a885296bcae2f02ea3 +PublicKey = 02000002a417b6b239692d6d4fcbe225f5a8068c7aa947970c21402751953083f06741692cb5f30a388dd81517c600189a5662d1e008434bff3369890757a5df7963ddf7 +Signature = 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 + +# Valid signature XMSS_SHA2-256_W16_H16 [VERIFIED] +Msg = a04306956ac18dfdcd1226d5cd0b49614ebb0a43166292616ae3463a383a2bf7683fef62805a746ed4770bca969cd2940b3576ed9f2c496a69b7b0a111722e8895a30708eab39059b66eade86c9b4fe838eec9418a1a1bcad3515274525c9e35e35a3a6719c2f4ec3c32b8cc6a796c6fc83b911acb55dd876220d436aa38128ad61e +PublicKey = 020000024f2120345df148ec61e9d30a2f5f570d82bb92caa63cc6c0bfa07fcdf9d257b005149f9d6db23142def5dad7b612162c30b0dd83f0df5dcff7ad7a18ffdbcacf +Signature = 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 + +# Valid signature XMSS_SHA2-256_W16_H20 +Msg = 39f9aae727ada93a1b6b33c1ca069c6800ec737cafdce70ad971c3c1ec605c0b0b700b910d8dd384f210c75795bf9591103e +PublicKey = 030000030918f68f43288a0a2a3a7f6e05703c8b32654ac493e0bb21c3772bb8f74bef52cf97444a0711cb46259c6114c038a1fd29bd0ff46b32b700e468a19ad553ee89 +Signature = 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 + +# Valid signature XMSS_SHA2-256_W16_H20 +Msg = 625e1858f8dce3fc2c8037e18aad9ab670dee198219dd65bd74a0ada8e150b7763dcb544ab51b2120b73d29611475d5f05c91b0b4eaec824b07812b185 +PublicKey = 03000003254d8ad016359fbefed93e944c2c6e5311c3eace96b99fd9a24059a5f9cb114d7a638deaa620d925806ab2a61802eac33167422ed8d3ecfa8a2910674034c9f7 +Signature = 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 + +# Valid signature XMSS_SHA2-512_W16_H10 [VERIFIED] +Msg = 0a78eba54b3915e3958e149e13d1c2736380ce64d8b47465f7d3838428f44d808f3d90d6270ca46308e6e786e7543012cac5 +PublicKey = 0400000428c1a1df6a140fb2dbad85522c970b7cc38532a377c8027af308ab2bf6c2f41f3e4bfc0994ddb375347c5b809b7feacc5ddda69f2b4190702701cf7a37866a44f11a8dcc20bf5123d4c6e17672ce2fc2a8ef19132b9715ba78b26b3e92700d7a50ee5368fc483a0224b1e200108e580149a25e96f49fbf06ac58b2871c1ab55d +Signature = 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 + +# Valid signature XMSS_SHA2-512_W16_H10 [VERIFIED] +Msg = +PublicKey = 04000004723e42717aa94e533e94dc253c264f8320f1c9a4eb69f1d576d7cd0def698cdff86a38b2d3208269892a07f40424fdc31d082873098b044240aacb9de97dc7f62cc783ea008361a066632df01263da7bba38feeb0a013fa60c84c23eefc21218cca425f89fadf8047ced8f3c5b7bdd71cc81a4185fe8e55fe9592412565d94ae +Signature = 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+ +# Valid signature XMSS_SHA2-512_W16_H10 [VERIFIED] +Msg = 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 +PublicKey = 04000004e0489566fe62275cf1be38b809f0f959717848a76d26b2392793bc6523fc57aa78b3ebbeb74462990eaf2e2fb89f988b804ef9a3155641347124f7728040c1ef60bf55b84746d9b9232f0221a3ef11728bf25e797985607c06432ea5b4122574923583e7127424b4304d01f90de74e2c81aca71e6721805b70e9c77fa19c5c0f +Signature = 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+ +# Valid signature XMSS_SHA2-512_W16_H10 [VERIFIED] +Msg = 39324feb180aca683d995db187a075a910d0 +PublicKey = 04000004c6f1c4a0ec9da6b8dec50a8f2257076771f62a1d425d5de0d02cc74db052973e388ac5b7609960ebf06dbd7354ad549e2e926cf5142c8054aae28ce3a84934730c54894ecdc72cd8d94f02376e47fdfe399339ed29ef21a881fe52571c2a1878c5b89f67d59e48b44ee2f1d2e67af73f7d733148d3ed9808db53151c08098808 +Signature = 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+ +# Valid signature XMSS_SHA2-512_W16_H10 [VERIFIED] +Msg = 458f4d30f1bd34d306092e2de2924c259c3bf53de876188f3b1fc0b194ef548b3a60f874b7536d0b402b8520e98c8fb722f15c653d1b4fa63df8d891cda1e747f8ab9490b5f0b1b0e9df7f92ef172a5c449d4a10911d765b14221c70f8d7a1346b60e0ab8b6dd00d2792761b74746de071c27a83338b236f592b6ae75ff672848b34a3ca5b2783dad72e7029891c24fb77972bb4a7f0481547e8ba4ca62a0c8443acbe7d815f257ebc8d51e0dbbf1ecdb7e48e31e2ceef7cbca409da63bd3b +PublicKey = 040000045bb39f35e3d6eb179e794406aafa4263e48bab718d4611b4015916ef6d5dd8ed7077b47688f2681377a857851510fc3068211ec47530cdc8312bbfe8a79e703446f7062d2370674cd9c9693a1a5a3522a58d896ce1b8ab5cfd54f9fed660ae881c602767e4064c28654d310c246ac81be08d63d3fef18ce14f709f4bba4cd1c3 +Signature = 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+ +# Valid signature XMSS_SHA2-512_W16_H10 [VERIFIED] +Msg = ebcc54f09738db1c5a24e315a7280d4cd8c266ee1024d3b32851fc49b7ce05c2a43eca9bb7d584635eb2ed538d86d773f4bcb87a3df6f595bd1e5b4c8b03a70c7bdea8f441058b133dda4f409f099a9b68b6dfe96de5ac6869ad5aaa9cc8630201c8df17f75202ee3069e5f912a88e0539fb0b04d487949a1f5a4ae192e18c24f1fe24dce1ba1c00c3bcf703a547f336594f87d1d2ca98a9096d4da24725601b1752e7d7f1986d9ea7ebc4caf50169065d05997ea6dc1e6937c1d7aad19682b10b56f8ac4c148122f9e906ac21aa0c3237b41f362cd869e9d25216c466f4d2a885296bcae2f02ea3 +PublicKey = 040000044da2eadc44f6074409a26a94763a16c54a11fdaf30ac47c1034347bfe794faa66cc421c16b1812520afb172b46fe304ee0a24c046ac6c9cd55bc1f409d67784356c888e90faf52e030b0384ed42b9f865e0fbf4ce8bbce5f4b9453251fd63021516a2c37b2451c8cbdd9223e9b8a479ba0bba4fd98c7af4977411d1c5b8f242b +Signature = 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+ +# Valid signature XMSS_SHA2-512_W16_H10 [VERIFIED] +Msg = 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 +PublicKey = 040000043a9f156f22674942cfd68f42eb1efdb203286c2a9103b9943fd40ae054daf6994312b0c5aa74fa28fcc97806abfffba44def0c26bd748ba71bf27f3a78f9980e1a0df6651b6a24faf5eb9c1f22e567c00a94c0f808037ba9405cfea82a13031b227b462cdb2e4fbc336f8634e36c113d6044f491dbea1301b043a791e2fce3d9 +Signature = 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+ +# Valid signature XMSS_SHA2-512_W16_H16 +Msg = 9c3792b7dbe44815abb6853ca4a6ff3f8645a18c18feabbf287360e8705e133450c30b648b810e04c781ba47aff2a6466fa1 +PublicKey = 0500000548534fdaef9a69681a9f5d66113c2edad09fea503494a0c1283da33d4a026bf0eff8844cf9c9db1165d4311456efaea753a25a806c59bdf2967b0b9dbe1b365b97225867edee40937297b7113ffbd6d2ebbc1fcd7c73c4470f9c953228034be7f4e458548d986876e0ca4ae8ca623e0304693112ed87e532f50c53766d7ec744 +Signature = 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+ +# Valid signature XMSS_SHA2-512_W16_H16 +Msg = da3142f27eaf1aa3f28a755a4f1e2327e8702761e4e5d597ceb6b880776d228461ce5da7f9c4d1f78a3cbe10b31a58f34aff39144dbfbeeac0fd81d92580a555dbe40476c745b1c0b5a5a095551eefce0611acf6e2ef2af882d6fd180d0d90d16116f00ff8a16a28104c02f8809e2a8f1ceeebdede768f93857bf00388cdd5919154031a5d57f5168a019e2bb41146c9c3b2498696e7e68b76b70e580cd0e3a32102370c95ad19a68f231124aa4a0f64f75aa73d00b7cb11b57bf957bb2bf43c6e667d41c7f45155fc4512dacdd168e982f8c557c76b92aadcf5c31f4314da4f7024c116912e549e0b55b66560ec924e52aa01b8ed607e7dd6e8998494efff3f836335a4cf8be7802b82a6197e4395f8e14847b2edd59bc3b25547af166a9fb459dc287d39888df3a6b2e4eff2daa86e73a497a900900226223ba058de997fc37e1dbac9f14672988306 +PublicKey = 05000005f52727df94950dd68ef359f9f12b18757d423b3dd544f222dc9273cebd23aa705609d32f4a467c066b577e0fda4dc544bc0f1150b0c9f6fa647b2bf5a4456594691e7369495bfb858b7f4802d34bdbdf4a1eafa35f64cf163c6d9f96a180a0370b405212562a67a275118a219ad088b0540d3e11f8aa79884c084e622ccc446c +Signature = 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+ +# Valid signature XMSS_SHA2-512_W16_H20 +Msg = 84ce75239912d0163f7610221102b9ae69ae0e9851780220efea9f3df9543806d1cd7a81ea1f73f294d045fcf0f80b05f458 +PublicKey = 06000006fecfdff3df99dc1ef72b129ad87c35e5d824238ae3b0d2fdab85fc2a82a58d785179994155e7f9d83ca376f5a86dfe82a45f77607e5f2651fa48ff4283b1d590364afd2661bf6fb110a09217721e5e810a7914dc478dc72b90114dbd94c2eaa1c4aedd5c3265a12d53c3b8e624dba4b925f08f563881d4e301f0744d21217fac +Signature = 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+ +# Valid signature XMSS_SHA2-512_W16_H20 +Msg = a2d4a1d63934c13b4bddfbb7cc62968274c785cffbae18bd66fdbd78fc19c0eb3603c6e2ab5bb07adee56a40faadd9a47d1864ee180852e29e26d8173b8c8719809699ec1b53dbcdb8abe4d9cbb2831d2aa664f99b56f6bdbaed7b25dd40df0a27ac214c1ec077ce04ba3c3f0b981b2f220e27878343bc50034da0d8e3b1658dac6ccbf6ded66dd222702137e694d51d71df2e84a3b0501b4d9ff2e8267ba9c60ba77910ecc61df79ac8a51a98d53a7c79477f4633b96a8c7afadc50555381db3534ba2c1e5eab1ae66dbad562224d6487fe0bee3686eb8b5425ad47773319 +PublicKey = 060000069688212fb7e7d9e42aca5d52a9d060c5d48b1f0e2de8ec0846e9296de363de9986862f3f77128cfc130bb64c4ab672a1ea6bc4689d2a359751bde229cddbc072f6e20bed39db09b035f7f07f485203a2268e3d93c182004a4e6921b9012bf03676c960096880d5403785ece425544a4c82ce31cdd3bf13f33365d40954350d47 +Signature = 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+ diff --git a/src/tests/test_xmss.cpp b/src/tests/test_xmss.cpp new file mode 100644 index 000000000..dd53d9b7f --- /dev/null +++ b/src/tests/test_xmss.cpp @@ -0,0 +1,72 @@ +/** + * Extended Hash-Based Signatures Tests + * + * (C) 2014,2015 Jack Lloyd + * (C) 2016 Matthias Gierlings + **/ + +#include "tests.h" + +#if defined(BOTAN_HAS_XMSS) + #include <botan/xmss.h> + #include "test_pubkey.h" +#endif + +namespace Botan_Tests { + +namespace { + +#if defined(BOTAN_HAS_XMSS) + +class XMSS_Signature_Tests : public PK_Signature_Generation_Test + { + public: + XMSS_Signature_Tests() : PK_Signature_Generation_Test( + "XMSS", + "pubkey/xmss_sig.vec", + {"Msg", "PrivateKey", "Signature"}, + {}) + {} + + std::string default_padding(const VarMap&) const override { return "Raw"; } + + std::unique_ptr<Botan::Private_Key> load_private_key(const VarMap& vars) override + { + const std::vector<byte> raw_key = get_req_bin(vars, "PrivateKey"); + const Botan::secure_vector<byte> sec_key(raw_key.begin(), raw_key.end()); + + std::unique_ptr<Botan::Private_Key> key(new Botan::XMSS_PrivateKey(sec_key)); + return key; + } + }; + +class XMSS_Signature_Verify_Tests : public PK_Signature_Verification_Test + { + public: + XMSS_Signature_Verify_Tests() : PK_Signature_Verification_Test( + "XMSS", + "pubkey/xmss_verify.vec", + {"Msg", "PublicKey", "Signature"}, + {}) + {} + + std::string default_padding(const VarMap&) const override { return "Raw"; } + + std::unique_ptr<Botan::Public_Key> load_public_key(const VarMap& vars) override + { + const std::vector<byte> raw_key = get_req_bin(vars, "PublicKey"); + const Botan::secure_vector<byte> sec_key(raw_key.begin(), raw_key.end()); + + std::unique_ptr<Botan::Public_Key> key(new Botan::XMSS_PublicKey(sec_key)); + return key; + } + }; + +BOTAN_REGISTER_TEST("xmss_sign", XMSS_Signature_Tests); +BOTAN_REGISTER_TEST("xmss_verify", XMSS_Signature_Verify_Tests); + +#endif + +} + +} |