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# -*- coding: utf-8 -*-
#
# PublicKey/DSA.py : DSA signature primitive
#
# Written in 2008 by Dwayne C. Litzenberger <dlitz@dlitz.net>
#
# ===================================================================
# The contents of this file are dedicated to the public domain. To
# the extent that dedication to the public domain is not available,
# everyone is granted a worldwide, perpetual, royalty-free,
# non-exclusive license to exercise all rights associated with the
# contents of this file for any purpose whatsoever.
# No rights are reserved.
#
# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
# EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
# MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
# NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS
# BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN
# ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
# CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
# SOFTWARE.
# ===================================================================
"""DSA public-key signature algorithm.
DSA_ is a widespread public-key signature algorithm. Its security is
based on the discrete logarithm problem (DLP_). Given a cyclic
group, a generator *g*, and an element *h*, it is hard
to find an integer *x* such that *g^x = h*. The problem is believed
to be difficult, and it has been proved such (and therefore secure) for
more than 30 years.
The group is actually a sub-group over the integers modulo *p*, with *p* prime.
The sub-group order is *q*, which is prime too; it always holds that *(p-1)* is a multiple of *q*.
The cryptographic strength is linked to the magnitude of *p* and *q*.
The signer holds a value *x* (*0<x<q-1*) as private key, and its public
key (*y* where *y=g^x mod p*) is distributed.
In 2012, a sufficient size is deemed to be 2048 bits for *p* and 256 bits for *q*.
For more information, see the most recent ECRYPT_ report.
DSA is reasonably secure for new designs.
The algorithm can only be used for authentication (digital signature).
DSA cannot be used for confidentiality (encryption).
The values *(p,q,g)* are called *domain parameters*;
they are not sensitive but must be shared by both parties (the signer and the verifier).
Different signers can share the same domain parameters with no security
concerns.
The DSA signature is twice as big as the size of *q* (64 bytes if *q* is 256 bit
long).
This module provides facilities for generating new DSA keys and for constructing
them from known components. DSA keys allows you to perform basic signing and
verification.
>>> from Crypto.Random import random
>>> from Crypto.PublicKey import DSA
>>> from Crypto.Hash import SHA256
>>>
>>> message = "Hello"
>>> key = DSA.generate(2048)
>>> f = open("public_key.pem", "w")
>>> f.write(key.publickey().exportKey(key))
>>> h = SHA256.new(message).digest()
>>> k = random.StrongRandom().randint(1,key.q-1)
>>> sig = key.sign(h,k)
>>> ...
>>> ...
>>> f = open("public_key.pem", "r")
>>> h = SHA256.new(message).digest()
>>> key = DSA.importKey(f.read())
>>> if key.verify(h,sig):
>>> print "OK"
>>> else:
>>> print "Incorrect signature"
.. _DSA: http://en.wikipedia.org/wiki/Digital_Signature_Algorithm
.. _DLP: http://www.cosic.esat.kuleuven.be/publications/talk-78.pdf
.. _ECRYPT: http://www.ecrypt.eu.org/documents/D.SPA.17.pdf
"""
__revision__ = "$Id$"
__all__ = ['generate', 'construct', 'error', 'DSAImplementation',
'_DSAobj', 'importKey']
import binascii
import struct
import sys
if sys.version_info[0] == 2 and sys.version_info[1] == 1:
from Crypto.Util.py21compat import *
from Crypto.Util.py3compat import *
from Crypto import Random
from Crypto.IO import PKCS8, PEM
from Crypto.Util.number import bytes_to_long, long_to_bytes
from Crypto.PublicKey import _DSA, _slowmath, pubkey, KeyFormatError
from Crypto.Util.asn1 import DerObject, DerSequence,\
DerInteger, DerObjectId, DerBitString, newDerSequence, newDerBitString
try:
from Crypto.PublicKey import _fastmath
except ImportError:
_fastmath = None
def decode_der(obj_class, binstr):
"""Instantiate a DER object class, decode a DER binary string in it,
and return the object."""
der = obj_class()
der.decode(binstr)
return der
# ; The following ASN.1 types are relevant for DSA
#
# SubjectPublicKeyInfo ::= SEQUENCE {
# algorithm AlgorithmIdentifier,
# subjectPublicKey BIT STRING
# }
#
# id-dsa ID ::= { iso(1) member-body(2) us(840) x9-57(10040) x9cm(4) 1 }
#
# ; See RFC3279
# Dss-Parms ::= SEQUENCE {
# p INTEGER,
# q INTEGER,
# g INTEGER
# }
#
# DSAPublicKey ::= INTEGER
#
# DSSPrivatKey_OpenSSL ::= SEQUENCE
# version INTEGER,
# p INTEGER,
# q INTEGER,
# g INTEGER,
# y INTEGER,
# x INTEGER
# }
#
class _DSAobj(pubkey.pubkey):
"""Class defining an actual DSA key.
:undocumented: __getstate__, __setstate__, __repr__, __getattr__
"""
#: Dictionary of DSA parameters.
#:
#: A public key will only have the following entries:
#:
#: - **y**, the public key.
#: - **g**, the generator.
#: - **p**, the modulus.
#: - **q**, the order of the sub-group.
#:
#: A private key will also have:
#:
#: - **x**, the private key.
keydata = ['y', 'g', 'p', 'q', 'x']
def __init__(self, implementation, key, randfunc=None):
self.implementation = implementation
self.key = key
if randfunc is None:
randfunc = Random.new().read
self._randfunc = randfunc
def __getattr__(self, attrname):
if attrname in self.keydata:
# For backward compatibility, allow the user to get (not set) the
# DSA key parameters directly from this object.
return getattr(self.key, attrname)
else:
raise AttributeError("%s object has no %r attribute" % (self.__class__.__name__, attrname,))
def sign(self, M, K):
"""Sign a piece of data with DSA.
:Parameter M: The piece of data to sign with DSA. It may
not be longer in bit size than the sub-group order (*q*).
:Type M: byte string or long
:Parameter K: A secret number, chosen randomly in the closed
range *[1,q-1]*.
:Type K: long (recommended) or byte string (not recommended)
:attention: selection of *K* is crucial for security. Generating a
random number larger than *q* and taking the modulus by *q* is
**not** secure, since smaller values will occur more frequently.
Generating a random number systematically smaller than *q-1*
(e.g. *floor((q-1)/8)* random bytes) is also **not** secure. In general,
it shall not be possible for an attacker to know the value of `any
bit of K`__.
:attention: The number *K* shall not be reused for any other
operation and shall be discarded immediately.
:attention: M must be a digest cryptographic hash, otherwise
an attacker may mount an existential forgery attack.
:Return: A tuple with 2 longs.
.. __: http://www.di.ens.fr/~pnguyen/pub_NgSh00.htm
"""
return pubkey.pubkey.sign(self, M, K)
def verify(self, M, signature):
"""Verify the validity of a DSA signature.
:Parameter M: The expected message.
:Type M: byte string or long
:Parameter signature: The DSA signature to verify.
:Type signature: A tuple with 2 longs as return by `sign`
:Return: True if the signature is correct, False otherwise.
"""
return pubkey.pubkey.verify(self, M, signature)
def _encrypt(self, c, K):
raise TypeError("DSA cannot encrypt")
def _decrypt(self, c):
raise TypeError("DSA cannot decrypt")
def _blind(self, m, r):
raise TypeError("DSA cannot blind")
def _unblind(self, m, r):
raise TypeError("DSA cannot unblind")
def _sign(self, m, k):
return self.key._sign(m, k)
def _verify(self, m, sig):
(r, s) = sig
return self.key._verify(m, r, s)
def has_private(self):
return self.key.has_private()
def size(self):
return self.key.size()
def can_blind(self):
return False
def can_encrypt(self):
return False
def can_sign(self):
return True
def publickey(self):
return self.implementation.construct((self.key.y, self.key.g, self.key.p, self.key.q))
def __getstate__(self):
d = {}
for k in self.keydata:
try:
d[k] = getattr(self.key, k)
except AttributeError:
pass
return d
def __setstate__(self, d):
if not hasattr(self, 'implementation'):
self.implementation = DSAImplementation()
if not hasattr(self, '_randfunc'):
self._randfunc = Random.new().read
t = []
for k in self.keydata:
if not d.has_key(k):
break
t.append(d[k])
self.key = self.implementation._math.dsa_construct(*tuple(t))
def __repr__(self):
attrs = []
for k in self.keydata:
if k == 'p':
attrs.append("p(%d)" % (self.size()+1,))
elif hasattr(self.key, k):
attrs.append(k)
if self.has_private():
attrs.append("private")
# PY3K: This is meant to be text, do not change to bytes (data)
return "<%s @0x%x %s>" % (self.__class__.__name__, id(self), ",".join(attrs))
def exportKey(self, format='PEM', pkcs8=None, passphrase=None,
protection=None):
"""Export this DSA key.
:Parameters:
format : string
The format to use for wrapping the key:
- *'DER'*. Binary encoding.
- *'PEM'*. Textual encoding, done according to `RFC1421`_/
`RFC1423`_ (default).
- *'OpenSSH'*. Textual encoding, one line of text, see `RFC4253`_.
Only suitable for public keys, not private keys.
passphrase : string
For private keys only. The pass phrase to use for deriving
the encryption key.
pkcs8 : boolean
For private keys only. If ``True`` (default), the key is arranged
according to `PKCS#8`_ and if `False`, according to the custom
OpenSSL/OpenSSH encoding.
protection : string
The encryption scheme to use for protecting the private key.
It is only meaningful when a pass phrase is present too.
If ``pkcs8`` takes value ``True``, ``protection`` is the PKCS#8
algorithm to use for deriving the secret and encrypting
the private DSA key.
For a complete list of algorithms, see `Crypto.IO.PKCS8`.
The default is *PBKDF2WithHMAC-SHA1AndDES-EDE3-CBC*.
If ``pkcs8`` is ``False``, the obsolete PEM encryption scheme is
used. It is based on MD5 for key derivation, and Triple DES for
encryption. Parameter ``protection`` is ignored.
The combination ``format='DER'`` and ``pkcs8=False`` is not allowed
if a passphrase is present.
:Return: A byte string with the encoded public or private half
of the key.
:Raise ValueError:
When the format is unknown or when you try to encrypt a private
key with *DER* format and OpenSSL/OpenSSH.
:attention:
If you don't provide a pass phrase, the private key will be
exported in the clear!
.. _RFC1421: http://www.ietf.org/rfc/rfc1421.txt
.. _RFC1423: http://www.ietf.org/rfc/rfc1423.txt
.. _RFC4253: http://www.ietf.org/rfc/rfc4253.txt
.. _`PKCS#8`: http://www.ietf.org/rfc/rfc5208.txt
"""
if passphrase is not None:
passphrase = tobytes(passphrase)
if format == 'OpenSSH':
tup1 = [long_to_bytes(x) for x in (self.p, self.q, self.g, self.y)]
def func(x):
if (bord(x[0]) & 0x80):
return bchr(0) + x
else:
return x
tup2 = map(func, tup1)
keyparts = [b('ssh-dss')] + tup2
keystring = b('').join(
[struct.pack(">I", len(kp)) + kp for kp in keyparts]
)
return b('ssh-dss ') + binascii.b2a_base64(keystring)[:-1]
# DER format is always used, even in case of PEM, which simply
# encodes it into BASE64.
params = newDerSequence(self.p, self.q, self.g)
if self.has_private():
if pkcs8 is None:
pkcs8 = True
if pkcs8:
if not protection:
protection = 'PBKDF2WithHMAC-SHA1AndDES-EDE3-CBC'
private_key = DerInteger(self.x).encode()
binary_key = PKCS8.wrap(
private_key, oid, passphrase,
protection, key_params=params,
randfunc=self._randfunc
)
if passphrase:
key_type = 'ENCRYPTED PRIVATE'
else:
key_type = 'PRIVATE'
passphrase = None
else:
if format != 'PEM' and passphrase:
raise ValueError("DSA private key cannot be encrypted")
ints = [0, self.p, self.q, self.g, self.y, self.x]
binary_key = newDerSequence(*ints).encode()
key_type = "DSA PRIVATE"
else:
if pkcs8:
raise ValueError("PKCS#8 is only meaningful for private keys")
binary_key = newDerSequence(
newDerSequence(DerObjectId(oid), params),
newDerBitString(DerInteger(self.y))
).encode()
key_type = "DSA PUBLIC"
if format == 'DER':
return binary_key
if format == 'PEM':
pem_str = PEM.encode(
binary_key, key_type + " KEY",
passphrase, self._randfunc
)
return tobytes(pem_str)
raise ValueError("Unknown key format '%s'. Cannot export the DSA key." % format)
class DSAImplementation(object):
"""
A DSA key factory.
This class is only internally used to implement the methods of the
`Crypto.PublicKey.DSA` module.
"""
def __init__(self, **kwargs):
"""Create a new DSA key factory.
:Keywords:
use_fast_math : bool
Specify which mathematic library to use:
- *None* (default). Use fastest math available.
- *True* . Use fast math.
- *False* . Use slow math.
default_randfunc : callable
Specify how to collect random data:
- *None* (default). Use Random.new().read().
- not *None* . Use the specified function directly.
:Raise RuntimeError:
When **use_fast_math** =True but fast math is not available.
"""
use_fast_math = kwargs.get('use_fast_math', None)
if use_fast_math is None: # Automatic
if _fastmath is not None:
self._math = _fastmath
else:
self._math = _slowmath
elif use_fast_math: # Explicitly select fast math
if _fastmath is not None:
self._math = _fastmath
else:
raise RuntimeError("fast math module not available")
else: # Explicitly select slow math
self._math = _slowmath
self.error = self._math.error
# 'default_randfunc' parameter:
# None (default) - use Random.new().read
# not None - use the specified function
self._default_randfunc = kwargs.get('default_randfunc', None)
self._current_randfunc = None
def _get_randfunc(self, randfunc):
if randfunc is not None:
return randfunc
elif self._current_randfunc is None:
self._current_randfunc = Random.new().read
return self._current_randfunc
def generate(self, bits, randfunc=None, progress_func=None):
"""Randomly generate a fresh, new DSA key.
:Parameters:
bits : int
Key length, or size (in bits) of the DSA modulus
*p*.
It must be a multiple of 64, in the closed
interval [512,1024].
randfunc : callable
Random number generation function; it should accept
a single integer N and return a string of random data
N bytes long.
If not specified, a new one will be instantiated
from ``Crypto.Random``.
progress_func : callable
Optional function that will be called with a short string
containing the key parameter currently being generated;
it's useful for interactive applications where a user is
waiting for a key to be generated.
:attention: You should always use a cryptographically secure random number generator,
such as the one defined in the ``Crypto.Random`` module; **don't** just use the
current time and the ``random`` module.
:Return: A DSA key object (`_DSAobj`).
:Raise ValueError:
When **bits** is too little, too big, or not a multiple of 64.
"""
# Check against FIPS 186-2, which says that the size of the prime p
# must be a multiple of 64 bits between 512 and 1024
for i in (0, 1, 2, 3, 4, 5, 6, 7, 8):
if bits == 512 + 64*i:
return self._generate(bits, randfunc, progress_func)
# The March 2006 draft of FIPS 186-3 also allows 2048 and 3072-bit
# primes, but only with longer q values. Since the current DSA
# implementation only supports a 160-bit q, we don't support larger
# values.
raise ValueError("Number of bits in p must be a multiple of 64 between 512 and 1024, not %d bits" % (bits,))
def _generate(self, bits, randfunc=None, progress_func=None):
rf = self._get_randfunc(randfunc)
obj = _DSA.generate_py(bits, rf, progress_func) # TODO: Don't use legacy _DSA module
key = self._math.dsa_construct(obj.y, obj.g, obj.p, obj.q, obj.x)
return _DSAobj(self, key)
def construct(self, tup):
"""Construct a DSA key from a tuple of valid DSA components.
The modulus *p* must be a prime.
The following equations must apply:
- p-1 = 0 mod q
- g^x = y mod p
- 0 < x < q
- 1 < g < p
:Parameters:
tup : tuple
A tuple of long integers, with 4 or 5 items
in the following order:
1. Public key (*y*).
2. Sub-group generator (*g*).
3. Modulus, finite field order (*p*).
4. Sub-group order (*q*).
5. Private key (*x*). Optional.
:Return: A DSA key object (`_DSAobj`).
"""
key = self._math.dsa_construct(*tup)
return _DSAobj(self, key)
def _importKeyDER(self, key_data, passphrase=None, params=None):
"""Import a DSA key (public or private half), encoded in DER form."""
try:
#
# Dss-Parms ::= SEQUENCE {
# p OCTET STRING,
# q OCTET STRING,
# g OCTET STRING
# }
#
# Try a simple private key first
if params:
x = decode_der(DerInteger, key_data).value
params = decode_der(DerSequence, params) # Dss-Parms
p, q, g = list(params)
y = pow(g, x, p)
tup = (y, g, p, q, x)
return self.construct(tup)
der = decode_der(DerSequence, key_data)
# Try OpenSSL format for private keys
if len(der) == 6 and der.hasOnlyInts() and der[0] == 0:
tup = [der[comp] for comp in (4, 3, 1, 2, 5)]
return self.construct(tup)
# Try SubjectPublicKeyInfo
if len(der) == 2:
try:
algo = decode_der(DerSequence, der[0])
algo_oid = decode_der(DerObjectId, algo[0]).value
params = decode_der(DerSequence, algo[1]) # Dss-Parms
if algo_oid == oid and len(params) == 3 and\
params.hasOnlyInts():
bitmap = decode_der(DerBitString, der[1])
pub_key = decode_der(DerInteger, bitmap.value)
tup = [pub_key.value]
tup += [params[comp] for comp in (2, 0, 1)]
return self.construct(tup)
except (ValueError, EOFError):
pass
# Try unencrypted PKCS#8
p8_pair = PKCS8.unwrap(key_data, passphrase)
if p8_pair[0] == oid:
return self._importKeyDER(p8_pair[1], passphrase, p8_pair[2])
except (ValueError, EOFError):
pass
raise KeyFormatError("DSA key format is not supported")
def importKey(self, extern_key, passphrase=None):
"""Import a DSA key (public or private).
:Parameters:
extern_key : (byte) string
The DSA key to import.
An DSA *public* key can be in any of the following formats:
- X.509 ``subjectPublicKeyInfo`` (binary or PEM)
- OpenSSH (one line of text, see `RFC4253`_)
A DSA *private* key can be in any of the following formats:
- `PKCS#8`_ ``PrivateKeyInfo`` or ``EncryptedPrivateKeyInfo``
DER SEQUENCE (binary or PEM encoding)
- OpenSSL/OpenSSH (binary or PEM)
For details about the PEM encoding, see `RFC1421`_/`RFC1423`_.
The private key may be encrypted by means of a certain pass phrase
either at the PEM level or at the PKCS#8 level.
passphrase : string
In case of an encrypted private key, this is the pass phrase
from which the decryption key is derived.
:Return: A DSA key object (`_DSAobj`).
:Raise KeyFormatError:
When the given key cannot be parsed (possibly because
the pass phrase is wrong).
.. _RFC1421: http://www.ietf.org/rfc/rfc1421.txt
.. _RFC1423: http://www.ietf.org/rfc/rfc1423.txt
.. _RFC4253: http://www.ietf.org/rfc/rfc4253.txt
.. _PKCS#8: http://www.ietf.org/rfc/rfc5208.txt
"""
extern_key = tobytes(extern_key)
if passphrase is not None:
passphrase = tobytes(passphrase)
if extern_key.startswith(b('-----')):
# This is probably a PEM encoded key
(der, marker, enc_flag) = PEM.decode(tostr(extern_key), passphrase)
if enc_flag:
passphrase = None
return self._importKeyDER(der, passphrase)
if extern_key.startswith(b('ssh-dss ')):
# This is probably a public OpenSSH key
keystring = binascii.a2b_base64(extern_key.split(b(' '))[1])
keyparts = []
while len(keystring) > 4:
length = struct.unpack(">I", keystring[:4])[0]
keyparts.append(keystring[4:4 + length])
keystring = keystring[4 + length:]
if keyparts[0] == b("ssh-dss"):
tup = [bytes_to_long(keyparts[x]) for x in (4, 3, 1, 2)]
return self.construct(tup)
if bord(extern_key[0]) == 0x30:
# This is probably a DER encoded key
return self._importKeyDER(extern_key, passphrase)
raise KeyFormatError("DSA key format is not supported")
#: `Object ID`_ for a DSA key.
#:
#: id-dsa ID ::= { iso(1) member-body(2) us(840) x9-57(10040) x9cm(4) 1 }
#:
#: .. _`Object ID`: http://www.alvestrand.no/objectid/1.2.840.10040.4.1.html
oid = "1.2.840.10040.4.1"
_impl = DSAImplementation()
generate = _impl.generate
construct = _impl.construct
importKey = _impl.importKey
error = _impl.error
# vim:set ts=4 sw=4 sts=4 expandtab: