680 lines
22 KiB
Python
680 lines
22 KiB
Python
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# -*- coding: utf-8 -*-
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#
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# PublicKey/DSA.py : DSA signature primitive
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#
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# Written in 2008 by Dwayne C. Litzenberger <dlitz@dlitz.net>
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#
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# ===================================================================
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# The contents of this file are dedicated to the public domain. To
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# the extent that dedication to the public domain is not available,
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# everyone is granted a worldwide, perpetual, royalty-free,
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# non-exclusive license to exercise all rights associated with the
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# contents of this file for any purpose whatsoever.
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# No rights are reserved.
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#
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# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
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# EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
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# MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
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# NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS
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# BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN
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# ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
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# CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
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# SOFTWARE.
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# ===================================================================
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__all__ = ['generate', 'construct', 'DsaKey', 'import_key' ]
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import binascii
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import struct
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import itertools
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from Crypto.Util.py3compat import bchr, bord, tobytes, tostr, iter_range
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from Crypto import Random
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from Crypto.IO import PKCS8, PEM
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from Crypto.Hash import SHA256
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from Crypto.Util.asn1 import (
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DerObject, DerSequence,
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DerInteger, DerObjectId,
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DerBitString,
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)
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from Crypto.Math.Numbers import Integer
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from Crypto.Math.Primality import (test_probable_prime, COMPOSITE,
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PROBABLY_PRIME)
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from Crypto.PublicKey import (_expand_subject_public_key_info,
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_create_subject_public_key_info,
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_extract_subject_public_key_info)
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# ; The following ASN.1 types are relevant for DSA
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#
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# SubjectPublicKeyInfo ::= SEQUENCE {
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# algorithm AlgorithmIdentifier,
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# subjectPublicKey BIT STRING
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# }
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#
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# id-dsa ID ::= { iso(1) member-body(2) us(840) x9-57(10040) x9cm(4) 1 }
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#
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# ; See RFC3279
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# Dss-Parms ::= SEQUENCE {
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# p INTEGER,
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# q INTEGER,
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# g INTEGER
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# }
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#
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# DSAPublicKey ::= INTEGER
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#
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# DSSPrivatKey_OpenSSL ::= SEQUENCE
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# version INTEGER,
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# p INTEGER,
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# q INTEGER,
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# g INTEGER,
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# y INTEGER,
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# x INTEGER
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# }
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#
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class DsaKey(object):
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r"""Class defining an actual DSA key.
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Do not instantiate directly.
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Use :func:`generate`, :func:`construct` or :func:`import_key` instead.
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:ivar p: DSA modulus
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:vartype p: integer
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:ivar q: Order of the subgroup
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:vartype q: integer
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:ivar g: Generator
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:vartype g: integer
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:ivar y: Public key
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:vartype y: integer
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:ivar x: Private key
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:vartype x: integer
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"""
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_keydata = ['y', 'g', 'p', 'q', 'x']
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def __init__(self, key_dict):
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input_set = set(key_dict.keys())
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public_set = set(('y' , 'g', 'p', 'q'))
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if not public_set.issubset(input_set):
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raise ValueError("Some DSA components are missing = %s" %
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str(public_set - input_set))
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extra_set = input_set - public_set
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if extra_set and extra_set != set(('x',)):
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raise ValueError("Unknown DSA components = %s" %
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str(extra_set - set(('x',))))
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self._key = dict(key_dict)
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def _sign(self, m, k):
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if not self.has_private():
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raise TypeError("DSA public key cannot be used for signing")
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if not (1 < k < self.q):
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raise ValueError("k is not between 2 and q-1")
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x, q, p, g = [self._key[comp] for comp in ['x', 'q', 'p', 'g']]
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blind_factor = Integer.random_range(min_inclusive=1,
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max_exclusive=q)
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inv_blind_k = (blind_factor * k).inverse(q)
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blind_x = x * blind_factor
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r = pow(g, k, p) % q # r = (g**k mod p) mod q
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s = (inv_blind_k * (blind_factor * m + blind_x * r)) % q
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return map(int, (r, s))
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def _verify(self, m, sig):
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r, s = sig
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y, q, p, g = [self._key[comp] for comp in ['y', 'q', 'p', 'g']]
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if not (0 < r < q) or not (0 < s < q):
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return False
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w = Integer(s).inverse(q)
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u1 = (w * m) % q
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u2 = (w * r) % q
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v = (pow(g, u1, p) * pow(y, u2, p) % p) % q
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return v == r
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def has_private(self):
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"""Whether this is a DSA private key"""
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return 'x' in self._key
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def can_encrypt(self): # legacy
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return False
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def can_sign(self): # legacy
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return True
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def publickey(self):
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"""A matching DSA public key.
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Returns:
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a new :class:`DsaKey` object
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"""
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public_components = dict((k, self._key[k]) for k in ('y', 'g', 'p', 'q'))
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return DsaKey(public_components)
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def __eq__(self, other):
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if bool(self.has_private()) != bool(other.has_private()):
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return False
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result = True
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for comp in self._keydata:
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result = result and (getattr(self._key, comp, None) ==
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getattr(other._key, comp, None))
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return result
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def __ne__(self, other):
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return not self.__eq__(other)
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def __getstate__(self):
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# DSA key is not pickable
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from pickle import PicklingError
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raise PicklingError
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def domain(self):
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"""The DSA domain parameters.
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Returns
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tuple : (p,q,g)
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"""
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return [int(self._key[comp]) for comp in ('p', 'q', 'g')]
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def __repr__(self):
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attrs = []
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for k in self._keydata:
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if k == 'p':
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bits = Integer(self.p).size_in_bits()
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attrs.append("p(%d)" % (bits,))
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elif hasattr(self, k):
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attrs.append(k)
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if self.has_private():
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attrs.append("private")
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# PY3K: This is meant to be text, do not change to bytes (data)
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return "<%s @0x%x %s>" % (self.__class__.__name__, id(self), ",".join(attrs))
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def __getattr__(self, item):
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try:
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return int(self._key[item])
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except KeyError:
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raise AttributeError(item)
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def export_key(self, format='PEM', pkcs8=None, passphrase=None,
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protection=None, randfunc=None):
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"""Export this DSA key.
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Args:
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format (string):
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The encoding for the output:
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- *'PEM'* (default). ASCII as per `RFC1421`_/ `RFC1423`_.
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- *'DER'*. Binary ASN.1 encoding.
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- *'OpenSSH'*. ASCII one-liner as per `RFC4253`_.
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Only suitable for public keys, not for private keys.
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passphrase (string):
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*Private keys only*. The pass phrase to protect the output.
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pkcs8 (boolean):
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*Private keys only*. If ``True`` (default), the key is encoded
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with `PKCS#8`_. If ``False``, it is encoded in the custom
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OpenSSL/OpenSSH container.
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protection (string):
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*Only in combination with a pass phrase*.
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The encryption scheme to use to protect the output.
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If :data:`pkcs8` takes value ``True``, this is the PKCS#8
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algorithm to use for deriving the secret and encrypting
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the private DSA key.
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For a complete list of algorithms, see :mod:`Crypto.IO.PKCS8`.
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The default is *PBKDF2WithHMAC-SHA1AndDES-EDE3-CBC*.
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If :data:`pkcs8` is ``False``, the obsolete PEM encryption scheme is
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used. It is based on MD5 for key derivation, and Triple DES for
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encryption. Parameter :data:`protection` is then ignored.
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The combination ``format='DER'`` and ``pkcs8=False`` is not allowed
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if a passphrase is present.
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randfunc (callable):
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A function that returns random bytes.
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By default it is :func:`Crypto.Random.get_random_bytes`.
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Returns:
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byte string : the encoded key
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Raises:
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ValueError : when the format is unknown or when you try to encrypt a private
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key with *DER* format and OpenSSL/OpenSSH.
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.. warning::
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If you don't provide a pass phrase, the private key will be
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exported in the clear!
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.. _RFC1421: http://www.ietf.org/rfc/rfc1421.txt
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.. _RFC1423: http://www.ietf.org/rfc/rfc1423.txt
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.. _RFC4253: http://www.ietf.org/rfc/rfc4253.txt
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.. _`PKCS#8`: http://www.ietf.org/rfc/rfc5208.txt
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"""
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if passphrase is not None:
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passphrase = tobytes(passphrase)
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if randfunc is None:
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randfunc = Random.get_random_bytes
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if format == 'OpenSSH':
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tup1 = [self._key[x].to_bytes() for x in ('p', 'q', 'g', 'y')]
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def func(x):
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if (bord(x[0]) & 0x80):
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return bchr(0) + x
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else:
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return x
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tup2 = [func(x) for x in tup1]
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keyparts = [b'ssh-dss'] + tup2
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keystring = b''.join(
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[struct.pack(">I", len(kp)) + kp for kp in keyparts]
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)
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return b'ssh-dss ' + binascii.b2a_base64(keystring)[:-1]
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# DER format is always used, even in case of PEM, which simply
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# encodes it into BASE64.
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params = DerSequence([self.p, self.q, self.g])
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if self.has_private():
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if pkcs8 is None:
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pkcs8 = True
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if pkcs8:
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if not protection:
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protection = 'PBKDF2WithHMAC-SHA1AndDES-EDE3-CBC'
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private_key = DerInteger(self.x).encode()
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binary_key = PKCS8.wrap(
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private_key, oid, passphrase,
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protection, key_params=params,
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randfunc=randfunc
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)
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if passphrase:
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key_type = 'ENCRYPTED PRIVATE'
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else:
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key_type = 'PRIVATE'
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passphrase = None
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else:
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if format != 'PEM' and passphrase:
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raise ValueError("DSA private key cannot be encrypted")
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ints = [0, self.p, self.q, self.g, self.y, self.x]
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binary_key = DerSequence(ints).encode()
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key_type = "DSA PRIVATE"
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else:
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if pkcs8:
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raise ValueError("PKCS#8 is only meaningful for private keys")
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binary_key = _create_subject_public_key_info(oid,
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DerInteger(self.y), params)
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key_type = "PUBLIC"
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if format == 'DER':
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return binary_key
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if format == 'PEM':
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pem_str = PEM.encode(
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binary_key, key_type + " KEY",
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passphrase, randfunc
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)
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return tobytes(pem_str)
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raise ValueError("Unknown key format '%s'. Cannot export the DSA key." % format)
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# Backward-compatibility
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exportKey = export_key
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# Methods defined in PyCrypto that we don't support anymore
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def sign(self, M, K):
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raise NotImplementedError("Use module Crypto.Signature.DSS instead")
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def verify(self, M, signature):
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raise NotImplementedError("Use module Crypto.Signature.DSS instead")
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def encrypt(self, plaintext, K):
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raise NotImplementedError
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def decrypt(self, ciphertext):
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raise NotImplementedError
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def blind(self, M, B):
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raise NotImplementedError
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def unblind(self, M, B):
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raise NotImplementedError
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def size(self):
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raise NotImplementedError
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def _generate_domain(L, randfunc):
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"""Generate a new set of DSA domain parameters"""
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N = { 1024:160, 2048:224, 3072:256 }.get(L)
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if N is None:
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raise ValueError("Invalid modulus length (%d)" % L)
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outlen = SHA256.digest_size * 8
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n = (L + outlen - 1) // outlen - 1 # ceil(L/outlen) -1
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b_ = L - 1 - (n * outlen)
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# Generate q (A.1.1.2)
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q = Integer(4)
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upper_bit = 1 << (N - 1)
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while test_probable_prime(q, randfunc) != PROBABLY_PRIME:
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seed = randfunc(64)
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U = Integer.from_bytes(SHA256.new(seed).digest()) & (upper_bit - 1)
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q = U | upper_bit | 1
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assert(q.size_in_bits() == N)
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# Generate p (A.1.1.2)
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offset = 1
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upper_bit = 1 << (L - 1)
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while True:
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V = [ SHA256.new(seed + Integer(offset + j).to_bytes()).digest()
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for j in iter_range(n + 1) ]
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V = [ Integer.from_bytes(v) for v in V ]
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W = sum([V[i] * (1 << (i * outlen)) for i in iter_range(n)],
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(V[n] & ((1 << b_) - 1)) * (1 << (n * outlen)))
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X = Integer(W + upper_bit) # 2^{L-1} < X < 2^{L}
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assert(X.size_in_bits() == L)
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c = X % (q * 2)
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p = X - (c - 1) # 2q divides (p-1)
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if p.size_in_bits() == L and \
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test_probable_prime(p, randfunc) == PROBABLY_PRIME:
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break
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offset += n + 1
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# Generate g (A.2.3, index=1)
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e = (p - 1) // q
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for count in itertools.count(1):
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U = seed + b"ggen" + bchr(1) + Integer(count).to_bytes()
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W = Integer.from_bytes(SHA256.new(U).digest())
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g = pow(W, e, p)
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if g != 1:
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break
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return (p, q, g, seed)
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def generate(bits, randfunc=None, domain=None):
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"""Generate a new DSA key pair.
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The algorithm follows Appendix A.1/A.2 and B.1 of `FIPS 186-4`_,
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respectively for domain generation and key pair generation.
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Args:
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bits (integer):
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Key length, or size (in bits) of the DSA modulus *p*.
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It must be 1024, 2048 or 3072.
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randfunc (callable):
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Random number generation function; it accepts a single integer N
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and return a string of random data N bytes long.
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If not specified, :func:`Crypto.Random.get_random_bytes` is used.
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domain (tuple):
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The DSA domain parameters *p*, *q* and *g* as a list of 3
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integers. Size of *p* and *q* must comply to `FIPS 186-4`_.
|
||
|
If not specified, the parameters are created anew.
|
||
|
|
||
|
Returns:
|
||
|
:class:`DsaKey` : a new DSA key object
|
||
|
|
||
|
Raises:
|
||
|
ValueError : when **bits** is too little, too big, or not a multiple of 64.
|
||
|
|
||
|
.. _FIPS 186-4: http://nvlpubs.nist.gov/nistpubs/FIPS/NIST.FIPS.186-4.pdf
|
||
|
"""
|
||
|
|
||
|
if randfunc is None:
|
||
|
randfunc = Random.get_random_bytes
|
||
|
|
||
|
if domain:
|
||
|
p, q, g = map(Integer, domain)
|
||
|
|
||
|
## Perform consistency check on domain parameters
|
||
|
# P and Q must be prime
|
||
|
fmt_error = test_probable_prime(p) == COMPOSITE
|
||
|
fmt_error = test_probable_prime(q) == COMPOSITE
|
||
|
# Verify Lagrange's theorem for sub-group
|
||
|
fmt_error |= ((p - 1) % q) != 0
|
||
|
fmt_error |= g <= 1 or g >= p
|
||
|
fmt_error |= pow(g, q, p) != 1
|
||
|
if fmt_error:
|
||
|
raise ValueError("Invalid DSA domain parameters")
|
||
|
else:
|
||
|
p, q, g, _ = _generate_domain(bits, randfunc)
|
||
|
|
||
|
L = p.size_in_bits()
|
||
|
N = q.size_in_bits()
|
||
|
|
||
|
if L != bits:
|
||
|
raise ValueError("Mismatch between size of modulus (%d)"
|
||
|
" and 'bits' parameter (%d)" % (L, bits))
|
||
|
|
||
|
if (L, N) not in [(1024, 160), (2048, 224),
|
||
|
(2048, 256), (3072, 256)]:
|
||
|
raise ValueError("Lengths of p and q (%d, %d) are not compatible"
|
||
|
"to FIPS 186-3" % (L, N))
|
||
|
|
||
|
if not 1 < g < p:
|
||
|
raise ValueError("Incorrent DSA generator")
|
||
|
|
||
|
# B.1.1
|
||
|
c = Integer.random(exact_bits=N + 64, randfunc=randfunc)
|
||
|
x = c % (q - 1) + 1 # 1 <= x <= q-1
|
||
|
y = pow(g, x, p)
|
||
|
|
||
|
key_dict = { 'y':y, 'g':g, 'p':p, 'q':q, 'x':x }
|
||
|
return DsaKey(key_dict)
|
||
|
|
||
|
|
||
|
def construct(tup, consistency_check=True):
|
||
|
"""Construct a DSA key from a tuple of valid DSA components.
|
||
|
|
||
|
Args:
|
||
|
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.
|
||
|
|
||
|
consistency_check (boolean):
|
||
|
If ``True``, the library will verify that the provided components
|
||
|
fulfil the main DSA properties.
|
||
|
|
||
|
Raises:
|
||
|
ValueError: when the key being imported fails the most basic DSA validity checks.
|
||
|
|
||
|
Returns:
|
||
|
:class:`DsaKey` : a DSA key object
|
||
|
"""
|
||
|
|
||
|
key_dict = dict(zip(('y', 'g', 'p', 'q', 'x'), map(Integer, tup)))
|
||
|
key = DsaKey(key_dict)
|
||
|
|
||
|
fmt_error = False
|
||
|
if consistency_check:
|
||
|
# P and Q must be prime
|
||
|
fmt_error = test_probable_prime(key.p) == COMPOSITE
|
||
|
fmt_error = test_probable_prime(key.q) == COMPOSITE
|
||
|
# Verify Lagrange's theorem for sub-group
|
||
|
fmt_error |= ((key.p - 1) % key.q) != 0
|
||
|
fmt_error |= key.g <= 1 or key.g >= key.p
|
||
|
fmt_error |= pow(key.g, key.q, key.p) != 1
|
||
|
# Public key
|
||
|
fmt_error |= key.y <= 0 or key.y >= key.p
|
||
|
if hasattr(key, 'x'):
|
||
|
fmt_error |= key.x <= 0 or key.x >= key.q
|
||
|
fmt_error |= pow(key.g, key.x, key.p) != key.y
|
||
|
|
||
|
if fmt_error:
|
||
|
raise ValueError("Invalid DSA key components")
|
||
|
|
||
|
return key
|
||
|
|
||
|
|
||
|
# Dss-Parms ::= SEQUENCE {
|
||
|
# p OCTET STRING,
|
||
|
# q OCTET STRING,
|
||
|
# g OCTET STRING
|
||
|
# }
|
||
|
# DSAPublicKey ::= INTEGER -- public key, y
|
||
|
|
||
|
def _import_openssl_private(encoded, passphrase, params):
|
||
|
if params:
|
||
|
raise ValueError("DSA private key already comes with parameters")
|
||
|
der = DerSequence().decode(encoded, nr_elements=6, only_ints_expected=True)
|
||
|
if der[0] != 0:
|
||
|
raise ValueError("No version found")
|
||
|
tup = [der[comp] for comp in (4, 3, 1, 2, 5)]
|
||
|
return construct(tup)
|
||
|
|
||
|
|
||
|
def _import_subjectPublicKeyInfo(encoded, passphrase, params):
|
||
|
|
||
|
algoid, encoded_key, emb_params = _expand_subject_public_key_info(encoded)
|
||
|
if algoid != oid:
|
||
|
raise ValueError("No DSA subjectPublicKeyInfo")
|
||
|
if params and emb_params:
|
||
|
raise ValueError("Too many DSA parameters")
|
||
|
|
||
|
y = DerInteger().decode(encoded_key).value
|
||
|
p, q, g = list(DerSequence().decode(params or emb_params))
|
||
|
tup = (y, g, p, q)
|
||
|
return construct(tup)
|
||
|
|
||
|
|
||
|
def _import_x509_cert(encoded, passphrase, params):
|
||
|
|
||
|
sp_info = _extract_subject_public_key_info(encoded)
|
||
|
return _import_subjectPublicKeyInfo(sp_info, None, params)
|
||
|
|
||
|
|
||
|
def _import_pkcs8(encoded, passphrase, params):
|
||
|
if params:
|
||
|
raise ValueError("PKCS#8 already includes parameters")
|
||
|
k = PKCS8.unwrap(encoded, passphrase)
|
||
|
if k[0] != oid:
|
||
|
raise ValueError("No PKCS#8 encoded DSA key")
|
||
|
x = DerInteger().decode(k[1]).value
|
||
|
p, q, g = list(DerSequence().decode(k[2]))
|
||
|
tup = (pow(g, x, p), g, p, q, x)
|
||
|
return construct(tup)
|
||
|
|
||
|
|
||
|
def _import_key_der(key_data, passphrase, params):
|
||
|
"""Import a DSA key (public or private half), encoded in DER form."""
|
||
|
|
||
|
decodings = (_import_openssl_private,
|
||
|
_import_subjectPublicKeyInfo,
|
||
|
_import_x509_cert,
|
||
|
_import_pkcs8)
|
||
|
|
||
|
for decoding in decodings:
|
||
|
try:
|
||
|
return decoding(key_data, passphrase, params)
|
||
|
except ValueError:
|
||
|
pass
|
||
|
|
||
|
raise ValueError("DSA key format is not supported")
|
||
|
|
||
|
|
||
|
def import_key(extern_key, passphrase=None):
|
||
|
"""Import a DSA key.
|
||
|
|
||
|
Args:
|
||
|
extern_key (string or byte string):
|
||
|
The DSA key to import.
|
||
|
|
||
|
The following formats are supported for a DSA **public** key:
|
||
|
|
||
|
- X.509 certificate (binary DER or PEM)
|
||
|
- X.509 ``subjectPublicKeyInfo`` (binary DER or PEM)
|
||
|
- OpenSSH (ASCII one-liner, see `RFC4253`_)
|
||
|
|
||
|
The following formats are supported for a DSA **private** key:
|
||
|
|
||
|
- `PKCS#8`_ ``PrivateKeyInfo`` or ``EncryptedPrivateKeyInfo``
|
||
|
DER SEQUENCE (binary or PEM)
|
||
|
- OpenSSL/OpenSSH custom format (binary or PEM)
|
||
|
|
||
|
For details about the PEM encoding, see `RFC1421`_/`RFC1423`_.
|
||
|
|
||
|
passphrase (string):
|
||
|
In case of an encrypted private key, this is the pass phrase
|
||
|
from which the decryption key is derived.
|
||
|
|
||
|
Encryption may be applied either at the `PKCS#8`_ or at the PEM level.
|
||
|
|
||
|
Returns:
|
||
|
:class:`DsaKey` : a DSA key object
|
||
|
|
||
|
Raises:
|
||
|
ValueError : 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 _import_key_der(der, passphrase, None)
|
||
|
|
||
|
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 = [Integer.from_bytes(keyparts[x]) for x in (4, 3, 1, 2)]
|
||
|
return construct(tup)
|
||
|
|
||
|
if len(extern_key) > 0 and bord(extern_key[0]) == 0x30:
|
||
|
# This is probably a DER encoded key
|
||
|
return _import_key_der(extern_key, passphrase, None)
|
||
|
|
||
|
raise ValueError("DSA key format is not supported")
|
||
|
|
||
|
|
||
|
# Backward compatibility
|
||
|
importKey = import_key
|
||
|
|
||
|
#: `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"
|