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+#
+# KDF.py : a collection of Key Derivation Functions
+#
+# Part of the Python Cryptography Toolkit
+#
+# ===================================================================
+# 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.
+# ===================================================================
+
+"""This file contains a collection of standard key derivation functions.
+
+A key derivation function derives one or more secondary secret keys from
+one primary secret (a master key or a pass phrase).
+
+This is typically done to insulate the secondary keys from each other,
+to avoid that leakage of a secondary key compromises the security of the
+master key, or to thwart attacks on pass phrases (e.g. via rainbow tables).
+
+:undocumented: __revision__
+"""
+
+__revision__ = "$Id$"
+
+import math
+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.Hash import SHA1, HMAC, CMAC
+from Crypto.Util.strxor import strxor
+from Crypto.Util.number import long_to_bytes, bytes_to_long
+
+def PBKDF1(password, salt, dkLen, count=1000, hashAlgo=None):
+ """Derive one key from a password (or passphrase).
+
+ This function performs key derivation according an old version of
+ the PKCS#5 standard (v1.5).
+
+ This algorithm is called ``PBKDF1``. Even though it is still described
+ in the latest version of the PKCS#5 standard (version 2, or RFC2898),
+ newer applications should use the more secure and versatile `PBKDF2` instead.
+
+ :Parameters:
+ password : string
+ The secret password or pass phrase to generate the key from.
+ salt : byte string
+ An 8 byte string to use for better protection from dictionary attacks.
+ This value does not need to be kept secret, but it should be randomly
+ chosen for each derivation.
+ dkLen : integer
+ The length of the desired key. Default is 16 bytes, suitable for instance for `Crypto.Cipher.AES`.
+ count : integer
+ The number of iterations to carry out. It's recommended to use at least 1000.
+ hashAlgo : module
+ The hash algorithm to use, as a module or an object from the `Crypto.Hash` package.
+ The digest length must be no shorter than ``dkLen``.
+ The default algorithm is `SHA1`.
+
+ :Return: A byte string of length `dkLen` that can be used as key.
+ """
+ if not hashAlgo:
+ hashAlgo = SHA1
+ password = tobytes(password)
+ pHash = hashAlgo.new(password+salt)
+ digest = pHash.digest_size
+ if dkLen>digest:
+ raise TypeError("Selected hash algorithm has a too short digest (%d bytes)." % digest)
+ if len(salt)!=8:
+ raise ValueError("Salt is not 8 bytes long.")
+ for i in xrange(count-1):
+ pHash = pHash.new(pHash.digest())
+ return pHash.digest()[:dkLen]
+
+def PBKDF2(password, salt, dkLen=16, count=1000, prf=None):
+ """Derive one or more keys from a password (or passphrase).
+
+ This performs key derivation according to the PKCS#5 standard (v2.0),
+ by means of the ``PBKDF2`` algorithm.
+
+ :Parameters:
+ password : string
+ The secret password or pass phrase to generate the key from.
+ salt : string
+ A string to use for better protection from dictionary attacks.
+ This value does not need to be kept secret, but it should be randomly
+ chosen for each derivation. It is recommended to be at least 8 bytes long.
+ dkLen : integer
+ The cumulative length of the desired keys. Default is 16 bytes, suitable for instance for `Crypto.Cipher.AES`.
+ count : integer
+ The number of iterations to carry out. It's recommended to use at least 1000.
+ prf : callable
+ A pseudorandom function. It must be a function that returns a pseudorandom string
+ from two parameters: a secret and a salt. If not specified, HMAC-SHA1 is used.
+
+ :Return: A byte string of length `dkLen` that can be used as key material.
+ If you wanted multiple keys, just break up this string into segments of the desired length.
+"""
+ password = tobytes(password)
+ if prf is None:
+ prf = lambda p,s: HMAC.new(p,s,SHA1).digest()
+ key = b('')
+ i = 1
+ while len(key)<dkLen:
+ U = previousU = prf(password,salt+struct.pack(">I", i))
+ for j in xrange(count-1):
+ previousU = t = prf(password,previousU)
+ U = strxor(U,t)
+ key += U
+ i = i + 1
+ return key[:dkLen]
+
+class _S2V(object):
+ """String-to-vector PRF as defined in `RFC5297`_.
+
+ This class implements a pseudorandom function family
+ based on CMAC that takes as input a vector of strings.
+
+ .. _RFC5297: http://tools.ietf.org/html/rfc5297
+ """
+
+ def __init__(self, key, ciphermod):
+ """Initialize the S2V PRF.
+
+ :Parameters:
+ key : byte string
+ A secret that can be used as key for CMACs
+ based on ciphers from ``ciphermod``.
+ ciphermod : module
+ A block cipher module from `Crypto.Cipher`.
+ """
+
+ self._key = key
+ self._ciphermod = ciphermod
+ self._last_string = self._cache = bchr(0)*ciphermod.block_size
+ self._n_updates = ciphermod.block_size*8-1
+
+ def new(key, ciphermod):
+ """Create a new S2V PRF.
+
+ :Parameters:
+ key : byte string
+ A secret that can be used as key for CMACs
+ based on ciphers from ``ciphermod``.
+ ciphermod : module
+ A block cipher module from `Crypto.Cipher`.
+ """
+ return _S2V(key, ciphermod)
+ new = staticmethod(new)
+
+ def _double(self, bs):
+ doubled = bytes_to_long(bs)<<1
+ if bord(bs[0]) & 0x80:
+ doubled ^= 0x87
+ return long_to_bytes(doubled, len(bs))[-len(bs):]
+
+ def update(self, item):
+ """Pass the next component of the vector.
+
+ The maximum number of components you can pass is equal to the block
+ length of the cipher (in bits) minus 1.
+
+ :Parameters:
+ item : byte string
+ The next component of the vector.
+ :Raise TypeError: when the limit on the number of components has been reached.
+ :Raise ValueError: when the component is empty
+ """
+
+ if not item:
+ raise ValueError("A component cannot be empty")
+
+ if self._n_updates==0:
+ raise TypeError("Too many components passed to S2V")
+ self._n_updates -= 1
+
+ mac = CMAC.new(self._key, msg=self._last_string, ciphermod=self._ciphermod)
+ self._cache = strxor(self._double(self._cache), mac.digest())
+ self._last_string = item
+
+ def derive(self):
+ """"Derive a secret from the vector of components.
+
+ :Return: a byte string, as long as the block length of the cipher.
+ """
+
+ if len(self._last_string)>=16:
+ final = self._last_string[:-16] + strxor(self._last_string[-16:], self._cache)
+ else:
+ padded = (self._last_string + bchr(0x80)+ bchr(0)*15)[:16]
+ final = strxor(padded, self._double(self._cache))
+ mac = CMAC.new(self._key, msg=final, ciphermod=self._ciphermod)
+ return mac.digest()