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+.. hazmat::
+
+Two-factor Authentication
+=========================
+
+.. currentmodule:: cryptography.hazmat.primitives.twofactor
+
+This module contains algorithms related to two-factor authentication.
+
+Currently, it contains an algorithm for generating and verifying
+one time password values based on Hash-based message authentication
+codes (HMAC).
+
+.. currentmodule:: cryptography.hazmat.primitives.twofactor.hotp
+
+.. class:: HOTP(key, length, algorithm, backend)
+
+ .. versionadded:: 0.3
+
+ HOTP objects take a ``key``, ``length`` and ``algorithm`` parameter. The
+ ``key`` should be randomly generated bytes and is recommended to be 160
+ bits in length. The ``length`` parameter controls the length of the
+ generated one time password and must be >= 6 and <= 8.
+
+ This is an implementation of :rfc:`4226`.
+
+ .. doctest::
+
+ >>> import os
+ >>> from cryptography.hazmat.backends import default_backend
+ >>> from cryptography.hazmat.primitives.twofactor.hotp import HOTP
+ >>> from cryptography.hazmat.primitives.hashes import SHA1
+ >>> key = os.urandom(16)
+ >>> hotp = HOTP(key, 6, SHA1(), backend=default_backend())
+ >>> hotp_value = hotp.generate(0)
+ >>> hotp.verify(hotp_value, 0)
+
+ :param bytes key: Per-user secret key. This value must be kept secret
+ and be at least 128 bits. It is recommended that the
+ key be 160 bits.
+ :param int length: Length of generated one time password as ``int``.
+ :param HashAlgorithm algorithm: A
+ :class:`~cryptography.hazmat.primitives.hashes`
+ provider.
+ :param backend: A
+ :class:`~cryptography.hazmat.backends.interfaces.HMACBackend`
+ provider.
+ :raises ValueError: This is raised if the provided ``key`` is shorter than
+ 128 bits or if the ``length`` parameter is not 6, 7 or 8.
+ :raises TypeError: This is raised if the provided ``algorithm`` is not
+ :class:`~cryptography.hazmat.primitives.hashes.SHA1()`,
+ :class:`~cryptography.hazmat.primitives.hashes.SHA256()` or
+ :class:`~cryptography.hazmat.primitives.hashes.SHA512()` or if the
+ ``length`` parameter is not an integer.
+
+ .. method:: generate(counter)
+
+ :param int counter: The counter value used to generate the one time
+ password.
+ :return bytes: A one time password value.
+
+ .. method:: verify(hotp, counter)
+
+ :param bytes hotp: The one time password value to validate.
+ :param int counter: The counter value to validate against.
+ :raises cryptography.exceptions.InvalidToken: This is raised when the
+ supplied HOTP does not match the expected HOTP.
+
+Throttling
+~~~~~~~~~~
+
+Due to the fact that the HOTP algorithm generates rather short tokens that are
+6 - 8 digits long, brute force attacks are possible. It is highly recommended
+that the server that validates the token implement a throttling scheme that
+locks out the account for a period of time after a number of failed attempts.
+The number of allowed attempts should be as low as possible while still
+ensuring that usability is not significantly impacted.
+
+Re-synchronization of the Counter
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+
+The server's counter value should only be incremented on a successful HOTP
+authentication. However, the counter on the client is incremented every time a
+new HOTP value is requested. This can lead to the counter value being out of
+synchronization between the client and server.
+
+Due to this, it is highly recommended that the server sets a look-ahead window
+that allows the server to calculate the next ``x`` HOTP values and check them
+against the supplied HOTP value. This can be accomplished with something
+similar to the following code.
+
+.. code-block:: python
+
+ def verify(hotp, counter, look_ahead):
+ assert look_ahead >= 0
+ correct_counter = None
+
+ otp = HOTP(key, 6, default_backend())
+ for count in range(counter, counter + look_ahead):
+ try:
+ otp.verify(hotp, count)
+ correct_counter = count
+ except InvalidToken:
+ pass
+
+ return correct_counter
+
+.. currentmodule:: cryptography.hazmat.primitives.twofactor.totp
+
+.. class:: TOTP(key, length, algorithm, time_step, backend)
+
+ TOTP objects take a ``key``, ``length``, ``algorithm`` and ``time_step``
+ parameter. The ``key`` should be randomly generated bytes and is recommended
+ to be as long as your hash function's output (e.g 256-bit for SHA256).
+ The ``length`` parameter controls the length of the generated one time
+ password and must be >= 6 and <= 8.
+
+ This is an implementation of :rfc:`6238`.
+
+ .. doctest::
+
+ >>> import os
+ >>> import time
+ >>> from cryptography.hazmat.backends import default_backend
+ >>> from cryptography.hazmat.primitives.twofactor.totp import TOTP
+ >>> from cryptography.hazmat.primitives.hashes import SHA1
+ >>> key = os.urandom(16)
+ >>> totp = TOTP(key, 8, SHA1(), 30, backend=default_backend())
+ >>> time_value = time.time()
+ >>> totp_value = totp.generate(time_value)
+ >>> totp.verify(totp_value, time_value)
+
+ :param bytes key: Per-user secret key. This value must be kept secret
+ and be at least 128 bits. It is recommended that the
+ key be 160 bits.
+ :param int length: Length of generated one time password as ``int``.
+ :param HashAlgorithm algorithm: A
+ :class:`~cryptography.hazmat.primitives.hashes`
+ provider.
+ :param int time_step: The time step size. The recommended size is 30.
+ :param backend: A
+ :class:`~cryptography.hazmat.backends.interfaces.HMACBackend`
+ provider.
+ :raises ValueError: This is raised if the provided ``key`` is shorter than
+ 128 bits or if the ``length`` parameter is not 6, 7 or 8.
+ :raises TypeError: This is raised if the provided ``algorithm`` is not
+ :class:`~cryptography.hazmat.primitives.hashes.SHA1()`,
+ :class:`~cryptography.hazmat.primitives.hashes.SHA256()` or
+ :class:`~cryptography.hazmat.primitives.hashes.SHA512()` or if the
+ ``length`` parameter is not an integer.
+
+ .. method:: generate(time)
+
+ :param int time: The time value used to generate the one time password.
+ :return bytes: A one time password value.
+
+ .. method:: verify(totp, time)
+
+ :param bytes totp: The one time password value to validate.
+ :param int time: The time value to validate against.
+ :raises cryptography.exceptions.InvalidToken: This is raised when the
+ supplied TOTP does not match the expected TOTP.