Vehicle-Anti-Theft-Face-Rec.../venv/Lib/site-packages/Crypto/Signature/pss.py

383 lines
13 KiB
Python

# ===================================================================
#
# Copyright (c) 2014, Legrandin <helderijs@gmail.com>
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# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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"""RSA digital signature protocol with appendix according to PKCS#1 PSS.
See RFC3447__ or the `original RSA Labs specification`__.
This scheme is more properly called ``RSASSA-PSS``.
The following example shows how the sender can create the signatue of
a message using their private key:
>>> from Crypto.Signature import pss
>>> from Crypto.Hash import SHA256
>>> from Crypto.PublicKey import RSA
>>> from Crypto import Random
>>>
>>> message = 'To be signed'
>>> key = RSA.importKey(open('privkey.der').read())
>>> h = SHA256.new(message)
>>> signature = pss.new(key).sign(h)
At the receiver side, verification can be done using the public RSA key:
>>> key = RSA.importKey(open('pubkey.der').read())
>>> h = SHA256.new(message)
>>> verifier = pss.new(key)
>>> try:
>>> verifier.verify(h, signature):
>>> print "The signature is authentic."
>>> except (ValueError, TypeError):
>>> print "The signature is not authentic."
:undocumented: __package__
.. __: http://www.ietf.org/rfc/rfc3447.txt
.. __: http://www.rsa.com/rsalabs/node.asp?id=2125
"""
from Crypto.Util.py3compat import b, bchr, bord
import Crypto.Util.number
from Crypto.Util.number import (ceil_div,
long_to_bytes,
bytes_to_long
)
from Crypto.Util.strxor import strxor
from Crypto import Random
class PSS_SigScheme:
"""An instance of the PKCS#1 PSS signature scheme for a specific RSA key."""
def __init__(self, key, mgfunc, saltLen, randfunc):
"""Initialize this PKCS#1 PSS signature scheme object.
:Parameters:
key : an RSA key object
If a private half is given, both signature and
verification are possible.
If a public half is given, only verification is possible.
mgfunc : callable
A mask generation function that accepts two parameters:
a string to use as seed, and the lenth of the mask to
generate, in bytes.
saltLen : integer
Length of the salt, in bytes.
randfunc : callable
A function that returns random bytes.
"""
self._key = key
self._saltLen = saltLen
self._mgfunc = mgfunc
self._randfunc = randfunc
def can_sign(self):
"""Return True if this cipher object can be used
or signing messages."""
return self._key.has_private()
def sign(self, msg_hash):
"""Produce the PKCS#1 PSS signature of a message.
This function is named ``RSASSA-PSS-SIGN``, and is specified in
section 8.1.1 of RFC3447.
:Parameters:
msg_hash : hash object
The hash that was carried out over the message. This is an object
belonging to the `Crypto.Hash` module.
:Return: The PSS signature encoded as a byte string.
:Raise ValueError:
If the RSA key length is not sufficiently long to deal
with the given hash algorithm.
:Raise TypeError:
If the RSA key has no private half.
:attention: Modify the salt length and the mask generation
function only if you know what you are doing.
The receiver must use the same parameters too.
"""
# Set defaults for salt length and mask generation function
if self._saltLen is None:
sLen = msg_hash.digest_size
else:
sLen = self._saltLen
if self._mgfunc is None:
mgf = lambda x, y: MGF1(x, y, msg_hash)
else:
mgf = self._mgfunc
modBits = Crypto.Util.number.size(self._key.n)
# See 8.1.1 in RFC3447
k = ceil_div(modBits, 8) # k is length in bytes of the modulus
# Step 1
em = _EMSA_PSS_ENCODE(msg_hash, modBits-1, self._randfunc, mgf, sLen)
# 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):
"""Verify that a certain PKCS#1 PSS signature is authentic.
This function checks if the party holding the private half
of the given RSA key has really signed the message.
This function is called ``RSASSA-PSS-VERIFY``, and is specified
in section 8.1.2 of RFC3447.
:Parameters:
msg_hash : hash object
The cryptographic hash computed over the message.
This is an object belonging to the `Crypto.Hash` module.
signature : byte string
The signature that needs to be validated.
:Raise ValueError:
if the signature is incorrect.
"""
# Set defaults for salt length and mask generation function
if self._saltLen is None:
sLen = msg_hash.digest_size
else:
sLen = self._saltLen
if self._mgfunc:
mgf = self._mgfunc
else:
mgf = lambda x, y: MGF1(x, y, msg_hash)
modBits = Crypto.Util.number.size(self._key.n)
# See 8.1.2 in RFC3447
k = ceil_div(modBits, 8) # Convert from bits to bytes
# Step 1
if len(signature) != k:
raise ValueError("Incorrect signature")
# Step 2a (O2SIP)
signature_int = bytes_to_long(signature)
# Step 2b (RSAVP1)
em_int = self._key._encrypt(signature_int)
# Step 2c (I2OSP)
emLen = ceil_div(modBits - 1, 8)
em = long_to_bytes(em_int, emLen)
# Step 3/4
_EMSA_PSS_VERIFY(msg_hash, em, modBits-1, mgf, sLen)
def MGF1(mgfSeed, maskLen, hash):
"""Mask Generation Function, described in B.2.1"""
T = b("")
for counter in range(ceil_div(maskLen, hash.digest_size)):
c = long_to_bytes(counter, 4)
hobj = hash.new()
hobj.update(mgfSeed + c)
T = T + hobj.digest()
assert(len(T) >= maskLen)
return T[:maskLen]
def _EMSA_PSS_ENCODE(mhash, emBits, randFunc, mgf, sLen):
"""
Implement the ``EMSA-PSS-ENCODE`` function, as defined
in PKCS#1 v2.1 (RFC3447, 9.1.1).
The original ``EMSA-PSS-ENCODE`` actually accepts the message ``M``
as input, and hash it internally. Here, we expect that the message
has already been hashed instead.
:Parameters:
mhash : hash object
The hash object that holds the digest of the message being signed.
emBits : int
Maximum length of the final encoding, in bits.
randFunc : callable
An RNG function that accepts as only parameter an int, and returns
a string of random bytes, to be used as salt.
mgf : callable
A mask generation function that accepts two parameters: a string to
use as seed, and the lenth of the mask to generate, in bytes.
sLen : int
Length of the salt, in bytes.
:Return: An ``emLen`` byte long string that encodes the hash
(with ``emLen = \ceil(emBits/8)``).
:Raise ValueError:
When digest or salt length are too big.
"""
emLen = ceil_div(emBits, 8)
# Bitmask of digits that fill up
lmask = 0
for i in range(8*emLen-emBits):
lmask = lmask >> 1 | 0x80
# Step 1 and 2 have been already done
# Step 3
if emLen < mhash.digest_size+sLen+2:
raise ValueError("Digest or salt length are too long"
" for given key size.")
# Step 4
salt = randFunc(sLen)
# Step 5
m_prime = bchr(0)*8 + mhash.digest() + salt
# Step 6
h = mhash.new()
h.update(m_prime)
# Step 7
ps = bchr(0)*(emLen-sLen-mhash.digest_size-2)
# Step 8
db = ps + bchr(1) + salt
# Step 9
dbMask = mgf(h.digest(), emLen-mhash.digest_size-1)
# Step 10
maskedDB = strxor(db, dbMask)
# Step 11
maskedDB = bchr(bord(maskedDB[0]) & ~lmask) + maskedDB[1:]
# Step 12
em = maskedDB + h.digest() + bchr(0xBC)
return em
def _EMSA_PSS_VERIFY(mhash, em, emBits, mgf, sLen):
"""
Implement the ``EMSA-PSS-VERIFY`` function, as defined
in PKCS#1 v2.1 (RFC3447, 9.1.2).
``EMSA-PSS-VERIFY`` actually accepts the message ``M`` as input,
and hash it internally. Here, we expect that the message has already
been hashed instead.
:Parameters:
mhash : hash object
The hash object that holds the digest of the message to be verified.
em : string
The signature to verify, therefore proving that the sender really
signed the message that was received.
emBits : int
Length of the final encoding (em), in bits.
mgf : callable
A mask generation function that accepts two parameters: a string to
use as seed, and the lenth of the mask to generate, in bytes.
sLen : int
Length of the salt, in bytes.
:Raise ValueError:
When the encoding is inconsistent, or the digest or salt lengths
are too big.
"""
emLen = ceil_div(emBits, 8)
# Bitmask of digits that fill up
lmask = 0
for i in range(8*emLen-emBits):
lmask = lmask >> 1 | 0x80
# Step 1 and 2 have been already done
# Step 3
if emLen < mhash.digest_size+sLen+2:
return False
# Step 4
if ord(em[-1:]) != 0xBC:
raise ValueError("Incorrect signature")
# Step 5
maskedDB = em[:emLen-mhash.digest_size-1]
h = em[emLen-mhash.digest_size-1:-1]
# Step 6
if lmask & bord(em[0]):
raise ValueError("Incorrect signature")
# Step 7
dbMask = mgf(h, emLen-mhash.digest_size-1)
# Step 8
db = strxor(maskedDB, dbMask)
# Step 9
db = bchr(bord(db[0]) & ~lmask) + db[1:]
# Step 10
if not db.startswith(bchr(0)*(emLen-mhash.digest_size-sLen-2) + bchr(1)):
raise ValueError("Incorrect signature")
# Step 11
if sLen > 0:
salt = db[-sLen:]
else:
salt = b("")
# Step 12
m_prime = bchr(0)*8 + mhash.digest() + salt
# Step 13
hobj = mhash.new()
hobj.update(m_prime)
hp = hobj.digest()
# Step 14
if h != hp:
raise ValueError("Incorrect signature")
def new(rsa_key, **kwargs):
"""Return a signature scheme object `PSS_SigScheme` that
can be used to perform PKCS#1 PSS signature or verification.
:Parameters:
rsa_key : RSA key object
The key to use to sign or verify the message.
This is a `Crypto.PublicKey.RSA` object.
Signing is only possible if *key* is a private RSA key.
:Keywords:
mask_func : callable
A mask generation function that accepts two parameters: a string to
use as seed, and the length of the mask in bytes to generate.
If not specified, the standard MGF1 is used.
salt_bytes : int
Length of the salt, in bytes.
If not specified, it matches the output size of the hash function.
If zero, the signature scheme becomes deterministic.
rand_func : callable
A function that returns random bytes.
The default is `Crypto.Random.get_random_bytes`.
"""
mask_func = kwargs.pop("mask_func", None)
salt_len = kwargs.pop("salt_bytes", None)
rand_func = kwargs.pop("rand_func", None)
if rand_func is None:
rand_func = Random.get_random_bytes
if kwargs:
raise ValueError("Unknown keywords: " + str(list(kwargs.keys())))
return PSS_SigScheme(rsa_key, mask_func, salt_len, rand_func)