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+# ===================================================================
+#
+# Copyright (c) 2014, Legrandin <helderijs@gmail.com>
+# All rights reserved.
+#
+# Redistribution and use in source and binary forms, with or without
+# modification, are permitted provided that the following conditions
+# are met:
+#
+# 1. Redistributions of source code must retain the above copyright
+# notice, this list of conditions and the following disclaimer.
+# 2. Redistributions in binary form must reproduce the above copyright
+# notice, this list of conditions and the following disclaimer in
+# the documentation and/or other materials provided with the
+# distribution.
+#
+# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+# "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+# LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+# FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+# COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+# INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+# BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+# LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+# CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+# LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+# ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+# POSSIBILITY OF SUCH DAMAGE.
+# ===================================================================
+
+import Cryptodome.Util.number
+from Cryptodome.Util.number import ceil_div, bytes_to_long, long_to_bytes
+from Cryptodome.Util.asn1 import DerSequence, DerNull, DerOctetString, DerObjectId
+
+class PKCS115_SigScheme:
+ """A signature object for ``RSASSA-PKCS1-v1_5``.
+ Do not instantiate directly.
+ Use :func:`Cryptodome.Signature.pkcs1_15.new`.
+ """
+
+ def __init__(self, rsa_key):
+ """Initialize this PKCS#1 v1.5 signature scheme object.
+
+ :Parameters:
+ rsa_key : an RSA key object
+ Creation of signatures is only possible if this is a *private*
+ RSA key. Verification of signatures is always possible.
+ """
+ self._key = rsa_key
+
+ def can_sign(self):
+ """Return ``True`` if this object can be used to sign messages."""
+ return self._key.has_private()
+
+ def sign(self, msg_hash):
+ """Create the PKCS#1 v1.5 signature of a message.
+
+ This function is also called ``RSASSA-PKCS1-V1_5-SIGN`` and
+ it is specified in
+ `section 8.2.1 of RFC8017 <https://tools.ietf.org/html/rfc8017#page-36>`_.
+
+ :parameter msg_hash:
+ This is an object from the :mod:`Cryptodome.Hash` package.
+ It has been used to digest the message to sign.
+ :type msg_hash: hash object
+
+ :return: the signature encoded as a *byte string*.
+ :raise ValueError: if the RSA key is not long enough for the given hash algorithm.
+ :raise TypeError: if the RSA key has no private half.
+ """
+
+ # See 8.2.1 in RFC3447
+ modBits = Cryptodome.Util.number.size(self._key.n)
+ k = ceil_div(modBits,8) # Convert from bits to bytes
+
+ # Step 1
+ em = _EMSA_PKCS1_V1_5_ENCODE(msg_hash, k)
+ # Step 2a (OS2IP)
+ em_int = bytes_to_long(em)
+ # Step 2b (RSASP1)
+ m_int = self._key._decrypt(em_int)
+ # Step 2c (I2OSP)
+ signature = long_to_bytes(m_int, k)
+ return signature
+
+ def verify(self, msg_hash, signature):
+ """Check if the PKCS#1 v1.5 signature over a message is valid.
+
+ This function is also called ``RSASSA-PKCS1-V1_5-VERIFY`` and
+ it is specified in
+ `section 8.2.2 of RFC8037 <https://tools.ietf.org/html/rfc8017#page-37>`_.
+
+ :parameter msg_hash:
+ The hash that was carried out over the message. This is an object
+ belonging to the :mod:`Cryptodome.Hash` module.
+ :type parameter: hash object
+
+ :parameter signature:
+ The signature that needs to be validated.
+ :type signature: byte string
+
+ :raise ValueError: if the signature is not valid.
+ """
+
+ # See 8.2.2 in RFC3447
+ modBits = Cryptodome.Util.number.size(self._key.n)
+ k = ceil_div(modBits, 8) # Convert from bits to bytes
+
+ # Step 1
+ if len(signature) != k:
+ raise ValueError("Invalid signature")
+ # Step 2a (O2SIP)
+ signature_int = bytes_to_long(signature)
+ # Step 2b (RSAVP1)
+ em_int = self._key._encrypt(signature_int)
+ # Step 2c (I2OSP)
+ em1 = long_to_bytes(em_int, k)
+ # Step 3
+ try:
+ possible_em1 = [ _EMSA_PKCS1_V1_5_ENCODE(msg_hash, k, True) ]
+ # MD2/4/5 hashes always require NULL params in AlgorithmIdentifier.
+ # For all others, it is optional.
+ try:
+ algorithm_is_md = msg_hash.oid.startswith('1.2.840.113549.2.')
+ except AttributeError:
+ algorithm_is_md = False
+ if not algorithm_is_md: # MD2/MD4/MD5
+ possible_em1.append(_EMSA_PKCS1_V1_5_ENCODE(msg_hash, k, False))
+ except ValueError:
+ raise ValueError("Invalid signature")
+ # Step 4
+ # By comparing the full encodings (as opposed to checking each
+ # of its components one at a time) we avoid attacks to the padding
+ # scheme like Bleichenbacher's (see http://www.mail-archive.com/cryptography@metzdowd.com/msg06537).
+ #
+ if em1 not in possible_em1:
+ raise ValueError("Invalid signature")
+ pass
+
+
+def _EMSA_PKCS1_V1_5_ENCODE(msg_hash, emLen, with_hash_parameters=True):
+ """
+ Implement the ``EMSA-PKCS1-V1_5-ENCODE`` function, as defined
+ in PKCS#1 v2.1 (RFC3447, 9.2).
+
+ ``_EMSA-PKCS1-V1_5-ENCODE`` actually accepts the message ``M`` as input,
+ and hash it internally. Here, we expect that the message has already
+ been hashed instead.
+
+ :Parameters:
+ msg_hash : hash object
+ The hash object that holds the digest of the message being signed.
+ emLen : int
+ The length the final encoding must have, in bytes.
+ with_hash_parameters : bool
+ If True (default), include NULL parameters for the hash
+ algorithm in the ``digestAlgorithm`` SEQUENCE.
+
+ :attention: the early standard (RFC2313) stated that ``DigestInfo``
+ had to be BER-encoded. This means that old signatures
+ might have length tags in indefinite form, which
+ is not supported in DER. Such encoding cannot be
+ reproduced by this function.
+
+ :Return: An ``emLen`` byte long string that encodes the hash.
+ """
+
+ # First, build the ASN.1 DER object DigestInfo:
+ #
+ # DigestInfo ::= SEQUENCE {
+ # digestAlgorithm AlgorithmIdentifier,
+ # digest OCTET STRING
+ # }
+ #
+ # where digestAlgorithm identifies the hash function and shall be an
+ # algorithm ID with an OID in the set PKCS1-v1-5DigestAlgorithms.
+ #
+ # PKCS1-v1-5DigestAlgorithms ALGORITHM-IDENTIFIER ::= {
+ # { OID id-md2 PARAMETERS NULL }|
+ # { OID id-md5 PARAMETERS NULL }|
+ # { OID id-sha1 PARAMETERS NULL }|
+ # { OID id-sha256 PARAMETERS NULL }|
+ # { OID id-sha384 PARAMETERS NULL }|
+ # { OID id-sha512 PARAMETERS NULL }
+ # }
+ #
+ # Appendix B.1 also says that for SHA-1/-2 algorithms, the parameters
+ # should be omitted. They may be present, but when they are, they shall
+ # have NULL value.
+
+ digestAlgo = DerSequence([ DerObjectId(msg_hash.oid).encode() ])
+
+ if with_hash_parameters:
+ digestAlgo.append(DerNull().encode())
+
+ digest = DerOctetString(msg_hash.digest())
+ digestInfo = DerSequence([
+ digestAlgo.encode(),
+ digest.encode()
+ ]).encode()
+
+ # We need at least 11 bytes for the remaining data: 3 fixed bytes and
+ # at least 8 bytes of padding).
+ if emLen<len(digestInfo)+11:
+ raise TypeError("Selected hash algorith has a too long digest (%d bytes)." % len(digest))
+ PS = b'\xFF' * (emLen - len(digestInfo) - 3)
+ return b'\x00\x01' + PS + b'\x00' + digestInfo
+
+def new(rsa_key):
+ """Create a signature object for creating
+ or verifying PKCS#1 v1.5 signatures.
+
+ :parameter rsa_key:
+ The RSA key to use for signing or verifying the message.
+ This is a :class:`Cryptodome.PublicKey.RSA` object.
+ Signing is only possible when ``rsa_key`` is a **private** RSA key.
+ :type rsa_key: RSA object
+
+ :return: a :class:`PKCS115_SigScheme` signature object
+ """
+ return PKCS115_SigScheme(rsa_key)
+