def encode(m, embits, hash_class=hashlib.sha1,
mgf=mgf.mgf1, salt=None, s_len=None, random=random.SystemRandom):
m_hash = hash_class(m).digest()
h_len = len(m_hash)
if salt is not None:
s_len = len(salt)
else:
if s_len is None:
s_len = h_len
salt = primitives.i2osp(random().getrandbits(s_len*8), s_len)
em_len = primitives.integer_ceil(embits, 8)
if em_len < len(m_hash) + s_len + 2:
raise exceptions.EncodingError
m_prime = ('\x00' * 8) + m_hash + salt
h = hash_class(m_prime).digest()
ps = '\x00' * (em_len - s_len - h_len - 2)
db = ps + '\x01' + salt
db_mask = mgf(h, em_len - h_len - 1)
masked_db = primitives.string_xor(db, db_mask)
octets, bits = (8 * em_len - embits) / 8, (8*em_len-embits) % 8
# replace first `octets' bytes
masked_db = ('\x00' * octets) + masked_db[octets:]
new_byte = chr(ord(masked_db[octets]) & (255 >> bits))
masked_db = masked_db[:octets] + new_byte + masked_db[octets+1:]
return masked_db + h + '\xbc'
def decrypt(private_key,
message,
label='',
hash_class=hashlib.sha1,
mgf=mgf.mgf1):
'''Decrypt a byte message using a RSA private key and the OAEP wrapping algorithm,
Parameters:
public_key - an RSA public key
message - a byte string
label - a label a per-se PKCS#1 standard
hash_class - a Python class for a message digest algorithme respecting
the hashlib interface
mgf1 - a mask generation function
Return value:
the string before encryption (decrypted)
'''
hash = hash_class()
h_len = hash.digest_size
k = private_key.byte_size
# 1. check length
if len(message) != k or k < 2 * h_len + 2:
raise ValueError('decryption error')
# 2. RSA decryption
c = primitives.os2ip(message)
m = private_key.rsadp(c)
em = primitives.i2osp(m, k)
# 4. EME-OAEP decoding
hash.update(label)
label_hash = hash.digest()
y, masked_seed, masked_db = em[0], em[1:h_len + 1], em[1 + h_len:]
if y != '\x00':
raise ValueError('decryption error')
seed_mask = mgf(masked_db, h_len, hash_class=hash_class)
seed = primitives.string_xor(masked_seed, seed_mask)
db_mask = mgf(seed, k - h_len - 1, hash_class=hash_class)
db = primitives.string_xor(masked_db, db_mask)
label_hash_prime, rest = db[:h_len], db[h_len:]
i = rest.find('\x01')
if i == -1:
raise exceptions.DecryptionError
if rest[:i].strip('\x00') != '':
raise exceptions.DecryptionError
m = rest[i + 1:]
if label_hash_prime != label_hash:
raise exceptions.DecryptionError
return m
def encrypt(public_key,
message,
label='',
hash_class=hashlib.sha1,
mgf=mgf.mgf1,
seed=None,
rnd=default_crypto_random):
'''Encrypt a byte message using a RSA public key and the OAEP wrapping
algorithm,
Parameters:
public_key - an RSA public key
message - a byte string
label - a label a per-se PKCS#1 standard
hash_class - a Python class for a message digest algorithme respecting
the hashlib interface
mgf1 - a mask generation function
seed - a seed to use instead of generating it using a random generator
rnd - a random generator class, respecting the random generator
interface from the random module, if seed is None, it is used to
generate it.
Return value:
the encrypted string of the same length as the public key
'''
hash = hash_class()
h_len = hash.digest_size
k = public_key.byte_size
max_message_length = k - 2 * h_len - 2
if len(message) > max_message_length:
raise exceptions.MessageTooLong
hash.update(label)
label_hash = hash.digest()
ps = '\0' * int(max_message_length - len(message))
db = ''.join((label_hash, ps, '\x01', message))
if not seed:
seed = primitives.i2osp(rnd.getrandbits(h_len * 8), h_len)
db_mask = mgf(seed, k - h_len - 1, hash_class=hash_class)
masked_db = primitives.string_xor(db, db_mask)
seed_mask = mgf(masked_db, h_len, hash_class=hash_class)
masked_seed = primitives.string_xor(seed, seed_mask)
em = ''.join(('\x00', masked_seed, masked_db))
m = primitives.os2ip(em)
c = public_key.rsaep(m)
output = primitives.i2osp(c, k)
return output
def decrypt(private_key, message, label='', hash_class=hashlib.sha1,
mgf=mgf.mgf1):
'''Decrypt a byte message using a RSA private key and the OAEP wrapping algorithm,
Parameters:
public_key - an RSA public key
message - a byte string
label - a label a per-se PKCS#1 standard
hash_class - a Python class for a message digest algorithme respecting
the hashlib interface
mgf1 - a mask generation function
Return value:
the string before encryption (decrypted)
'''
hash = hash_class()
h_len = hash.digest_size
k = private_key.byte_size
# 1. check length
if len(message) != k or k < 2 * h_len + 2:
raise ValueError('decryption error')
# 2. RSA decryption
c = primitives.os2ip(message)
m = private_key.rsadp(c)
em = primitives.i2osp(m, k)
# 4. EME-OAEP decoding
hash.update(label)
label_hash = hash.digest()
y, masked_seed, masked_db = em[0], em[1:h_len+1], em[1+h_len:]
if y != '\x00':
raise ValueError('decryption error')
seed_mask = mgf(masked_db, h_len)
seed = primitives.string_xor(masked_seed, seed_mask)
db_mask = mgf(seed, k - h_len - 1)
db = primitives.string_xor(masked_db, db_mask)
label_hash_prime, rest = db[:h_len], db[h_len:]
i = rest.find('\x01')
if i == -1:
raise exceptions.DecryptionError
if rest[:i].strip('\x00') != '':
raise exceptions.DecryptionError
m = rest[i+1:]
if label_hash_prime != label_hash:
raise exceptions.DecryptionError
return m
def verify(m, em, embits, hash_class=hashlib.sha1, mgf=mgf.mgf1, s_len=None):
'''
Verify that a message padded using the PKCS#1 v2 PSS algorithm matched a
given message string.
m - the message to match
em - the padded message
embits - the length in bits of the padded message
hash_class - the hash algorithm used to compute the digest of the message
mgf - the mask generation function
s_len - the length of the salt string, if None the length of the digest is used.
Return: True if the message matches, False otherwise.
'''
# 1. cannot verify, does not know the max input length of hash_class
# 2.
m_hash = hash_class(m).digest()
h_len = len(m_hash)
if s_len is None:
s_len = h_len
em_len = primitives.integer_ceil(embits, 8)
# 3.
if em_len < len(m_hash) + s_len + 2:
return False
# 4.
if em[-1] != '\xbc':
return False
# 5.
masked_db, h = em[:em_len-h_len-1], em[em_len-h_len-1:-1]
# 6.
octets, bits = (8 * em_len - embits) / 8, (8*em_len-embits) % 8
zero = masked_db[:octets] + chr(ord(masked_db[octets]) & ~(255 >>bits))
for c in zero:
if c != '\x00':
return False
# 7.
db_mask = mgf(h, em_len - h_len - 1, hash_class=hash_class)
# 8.
db = primitives.string_xor(masked_db, db_mask)
# 9.
new_byte = chr(ord(db[octets]) & (255 >> bits))
db = ('\x00' * octets) + new_byte + db[octets+1:]
# 10.
for c in db[:em_len-h_len-s_len-2]:
if c != '\x00':
return False
if db[em_len-h_len-s_len-2] != '\x01':
return False
# 11.
salt = db[-s_len:]
# 12.
m_prime = ('\x00' * 8) + m_hash + salt
# 13.
h_prime = hash_class(m_prime).digest()
# 14.
return primitives.constant_time_cmp(h_prime, h)
def verify(m, em, embits, hash_class=hashlib.sha1, mgf=mgf.mgf1, s_len=None):
'''
Verify that a message padded using the PKCS#1 v2 PSS algorithm matched a
given message string.
m - the message to match
em - the padded message
embits - the length in bits of the padded message
hash_class - the hash algorithm used to compute the digest of the message
mgf - the mask generation function
s_len - the length of the salt string, if None the length of the digest is used.
Return: True if the message matches, False otherwise.
'''
# 1. cannot verify, does not know the max input length of hash_class
# 2.
m_hash = hash_class(m).digest()
h_len = len(m_hash)
if s_len is None:
s_len = h_len
em_len = primitives.integer_ceil(embits, 8)
# 3.
if em_len < len(m_hash) + s_len + 2:
return False
# 4.
if em[-1] != '\xbc':
return False
# 5.
masked_db, h = em[:em_len - h_len - 1], em[em_len - h_len - 1:-1]
# 6.
octets, bits = (8 * em_len - embits) / 8, (8 * em_len - embits) % 8
zero = masked_db[:octets] + chr(ord(masked_db[octets]) & ~(255 >> bits))
for c in zero:
if c != '\x00':
return False
# 7.
db_mask = mgf(h, em_len - h_len - 1)
# 8.
db = primitives.string_xor(masked_db, db_mask)
# 9.
new_byte = chr(ord(db[octets]) & (255 >> bits))
db = ('\x00' * octets) + new_byte + db[octets + 1:]
# 10.
for c in db[:em_len - h_len - s_len - 2]:
if c != '\x00':
return False
if db[em_len - h_len - s_len - 2] != '\x01':
return False
# 11.
salt = db[-s_len:]
# 12.
m_prime = ('\x00' * 8) + m_hash + salt
# 13.
h_prime = hash_class(m_prime).digest()
# 14.
return primitives.constant_time_cmp(h_prime, h)
def encrypt(public_key, message, label='', hash_class=hashlib.sha1,
mgf=mgf.mgf1, seed=None, random=random.SystemRandom):
'''Encrypt a byte message using a RSA public key and the OAEP wrapping
algorithm,
Parameters:
public_key - an RSA public key
message - a byte string
label - a label a per-se PKCS#1 standard
hash_class - a Python class for a message digest algorithme respecting
the hashlib interface
mgf1 - a mask generation function
seed - a seed to use instead of generating it using a random generator
random - a random generator class, respecting the random generator
interface from the random module, if seed is None, it is used to
generate it.
Return value:
the encrypted string of the same length as the public key
'''
hash = hash_class()
h_len = hash.digest_size
k = public_key.byte_size
max_message_length = k - 2 * h_len - 2
if len(message) > max_message_length:
raise exceptions.MessageTooLong
hash.update(label)
label_hash = hash.digest()
ps = '\0' * int(max_message_length - len(message))
db = ''.join((label_hash, ps, '\x01', message))
if not seed:
seed = primitives.i2osp(random().getrandbits(h_len*8), h_len)
db_mask = mgf(seed, k - h_len - 1, hash_class=hash_class)
masked_db = primitives.string_xor(db, db_mask)
seed_mask = mgf(masked_db, h_len, hash_class=hash_class)
masked_seed = primitives.string_xor(seed, seed_mask)
em = ''.join(('\x00', masked_seed, masked_db))
m = primitives.os2ip(em)
c = public_key.rsaep(m)
output = primitives.i2osp(c, k)
return output
def encode(m,
embits,
hash_class=hashlib.sha1,
mgf=mgf.mgf1,
salt=None,
s_len=None,
rnd=default_crypto_random):
'''Encode a message using the PKCS v2 PSS padding.
m - the message to encode
embits - the length of the padded message
mgf - a masg generating function, default is mgf1 the mask generating
function proposed in the PKCS#1 v2 standard.
hash_class - the hash algorithm to use to compute the digest of the
message, must conform to the hashlib class interface.
salt - a fixed salt string to use, if None, a random string of length
s_len is used instead, necessary for tests,
s_len - the length of the salt string when using a random generator to
create it, if None the length of the digest is used.
rnd - the random generator used to compute the salt string
Return value: the padded message
'''
m_hash = hash_class(m).digest()
h_len = len(m_hash)
if salt is not None:
s_len = len(salt)
else:
if s_len is None:
s_len = h_len
salt = primitives.i2osp(rnd.getrandbits(s_len * 8), s_len)
em_len = primitives.integer_ceil(embits, 8)
if em_len < len(m_hash) + s_len + 2:
raise exceptions.EncodingError
m_prime = ('\x00' * 8) + m_hash + salt
h = hash_class(m_prime).digest()
ps = '\x00' * (em_len - s_len - h_len - 2)
db = ps + '\x01' + salt
db_mask = mgf(h, em_len - h_len - 1)
masked_db = primitives.string_xor(db, db_mask)
octets, bits = (8 * em_len - embits) / 8, (8 * em_len - embits) % 8
# replace first `octets' bytes
masked_db = ('\x00' * octets) + masked_db[octets:]
new_byte = chr(ord(masked_db[octets]) & (255 >> bits))
masked_db = masked_db[:octets] + new_byte + masked_db[octets + 1:]
return masked_db + h + '\xbc'
def verify(m, em, embits, hash_class=hashlib.sha1, mgf=mgf.mgf1, s_len=None):
# 1. cannot verify, does not know the max input length of hash_class
# 2.
m_hash = hash_class(m).digest()
h_len = len(m_hash)
if s_len is None:
s_len = h_len
em_len = primitives.integer_ceil(embits, 8)
# 3.
if em_len < len(m_hash) + s_len + 2:
return False
# 4.
if em[-1] != '\xbc':
return False
# 5.
masked_db, h = em[:em_len-h_len-1], em[em_len-h_len-1:-1]
# 6.
octets, bits = (8 * em_len - embits) / 8, (8*em_len-embits) % 8
zero = masked_db[:octets] + chr(ord(masked_db[octets]) & ~(255 >>bits))
for c in zero:
if c != '\x00':
return False
# 7.
db_mask = mgf(h, em_len - h_len - 1)
# 8.
db = primitives.string_xor(masked_db, db_mask)
# 9.
new_byte = chr(ord(db[octets]) & (255 >> bits))
db = ('\x00' * octets) + new_byte + db[octets+1:]
# 10.
for c in db[:em_len-h_len-s_len-2]:
if c != '\x00':
return False
if db[em_len-h_len-s_len-2] != '\x01':
return False
# 11.
salt = db[-s_len:]
# 12.
m_prime = ('\x00' * 8) + m_hash + salt
# 13.
h_prime = hash_class(m_prime).digest()
# 14.
return primitives.constant_time_cmp(h_prime, h)
def encode(m, embits, hash_class=hashlib.sha1,
mgf=mgf.mgf1, salt=None, s_len=None, rnd=default_crypto_random):
'''Encode a message using the PKCS v2 PSS padding.
m - the message to encode
embits - the length of the padded message
mgf - a masg generating function, default is mgf1 the mask generating
function proposed in the PKCS#1 v2 standard.
hash_class - the hash algorithm to use to compute the digest of the
message, must conform to the hashlib class interface.
salt - a fixed salt string to use, if None, a random string of length
s_len is used instead, necessary for tests,
s_len - the length of the salt string when using a random generator to
create it, if None the length of the digest is used.
rnd - the random generator used to compute the salt string
Return value: the padded message
'''
m_hash = hash_class(m).digest()
h_len = len(m_hash)
if salt is not None:
s_len = len(salt)
else:
if s_len is None:
s_len = h_len
salt = primitives.i2osp(rnd.getrandbits(s_len*8), s_len)
em_len = primitives.integer_ceil(embits, 8)
if em_len < len(m_hash) + s_len + 2:
raise exceptions.EncodingError
m_prime = ('\x00' * 8) + m_hash + salt
h = hash_class(m_prime).digest()
ps = '\x00' * (em_len - s_len - h_len - 2)
db = ps + '\x01' + salt
db_mask = mgf(h, em_len - h_len - 1, hash_class=hash_class)
masked_db = primitives.string_xor(db, db_mask)
octets, bits = (8 * em_len - embits) / 8, (8*em_len-embits) % 8
# replace first `octets' bytes
masked_db = ('\x00' * octets) + masked_db[octets:]
new_byte = chr(ord(masked_db[octets]) & (255 >> bits))
masked_db = masked_db[:octets] + new_byte + masked_db[octets+1:]
return masked_db + h + '\xbc'