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.. hazmat::
Elliptic Curve Cryptography
===========================
.. currentmodule:: cryptography.hazmat.primitives.asymmetric.ec
,, method:: generate_private_key(curve, backend):
.. versionadded:: 0.5
Generate a new private key on ``curve`` for use with ``backend``.
:param backend: A
:class:`~cryptography.hazmat.primtives.interfaces.EllipticCurve`
provider.
:param backend: A
:class:`~cryptography.hazmat.backends.interfaces.EllipticCurveBackend`
provider.
:returns: A new instance of a
:class:`~cryptography.hazmat.primtivies.interfaces.EllipticCurvePrivateKey`
provider.
.. class:: EllipticCurvePrivateNumbers(private_value, public_numbers)
.. versionadded:: 0.5
The collection of integers that make up an EC private key.
.. attribute:: public_numbers
:type: :class:`~cryptography.hazmat.primitives.ec.EllipticCurvePublicNumbers`
The :class:`EllipticCurvePublicNumbers` which makes up the EC public
key associated with this EC private key.
.. attribute:: private_value
:type: int
The private value.
.. method:: private_key(backend)
Convert a collection of numbers into a private key suitable for doing
actual cryptographic operations.
:param backend: A
:class:`~cryptography.hazmat.backends.interfaces.EllipticCurveBackend`
provider.
:returns: A new instance of a
:class:`~cryptography.hazmat.primtivies.interfaces.EllipticCurvePrivateKey`
provider.
.. class:: EllipticCurvePublicNumbers(x, y, curve)
.. versionadded:: 0.5
The collection of integers that make up an EC public key.
.. attribute:: curve
:type: :class:`~cryptography.hazmat.primitives.interfaces.EllipticCurve`
The elliptic curve for this key.
.. attribute:: x
:type: int
The affine x component of the public point used for verifying.
.. attribute:: y
:type: int
The affine y component of the public point used for verifying.
.. method:: public_key(backend)
Convert a collection of numbers into a public key suitable for doing
actual cryptographic operations.
:param backend: A
:class:`~cryptography.hazmat.backends.interfaces.EllipticCurveBackend`
provider.
:returns: A new instance of a
:class:`~cryptography.hazmat.primtivies.interfaces.EllipticCurvePublicKey`
provider.
Elliptic Curve Signature Algorithms
-----------------------------------
.. class:: ECDSA(algorithm)
.. versionadded:: 0.5
The ECDSA signature algorithm first standardized in NIST publication
`FIPS 186-3`_, and later in `FIPS 186-4`_.
:param algorithm: An instance of a
:class:`~cryptography.hazmat.primitives.interfaces.HashAlgorithm`
provider.
.. code-block:: pycon
>>> from cryptography.hazmat.backends import default_backend
>>> from cryptography.hazmat.primitives import hashes
>>> from cryptography.hazmat.primitives.asymmetric import ec
>>> private_key = ec.generate_private_key(
... ec.SECT283K1(), default_backend()
... )
>>> signer = private_key.signer(ec.ECDSA(hashes.SHA256()))
>>> signer.update(b"this is some data I'd like")
>>> signer.update(b" to sign")
>>> signature = signer.finalize()
Elliptic Curves
---------------
All named curves are providers of
:class:`~cryptography.hazmat.primtives.interfaces.EllipticCurve`.
There is `some concern`_ that the non-Koblitz NIST curves (identified by names
that start with "B" or "P") may have been intentionally weakened by their
generation process.
.. class:: SECT571K1
.. versionadded:: 0.5
SECG curve ``sect571k1``. Also called NIST K-571.
.. class:: SECT409K1
.. versionadded:: 0.5
SECG curve ``sect409k1``. Also called NIST K-409.
.. class:: SECT283K1
.. versionadded:: 0.5
SECG curve ``sect283k1``. Also called NIST K-283.
.. class:: SECT233K1
.. versionadded:: 0.5
SECG curve ``sect233k1``. Also called NIST K-233.
.. class:: SECT163K1
.. versionadded:: 0.5
SECG curve ``sect163k1``. Also called NIST K-163.
.. class:: SECT571R1
.. versionadded:: 0.5
SECG curve ``sect571r1``. Also called NIST B-571.
.. class:: SECT409R1
.. versionadded:: 0.5
SECG curve ``sect409r1``. Also called NIST B-409.
.. class:: SECT283R1
.. versionadded:: 0.5
SECG curve ``sect283r1``. Also called NIST B-283.
.. class:: SECT233R1
.. versionadded:: 0.5
SECG curve ``sect233r1``. Also called NIST B-233.
.. class:: SECT163R2
.. versionadded:: 0.5
SECG curve ``sect163r2``. Also called NIST B-163.
.. class:: SECP521R1
.. versionadded:: 0.5
SECG curve ``secp521r1``. Also called NIST P-521.
.. class:: SECP384R1
.. versionadded:: 0.5
SECG curve ``secp384r1``. Also called NIST P-384.
.. class:: SECP256R1
.. versionadded:: 0.5
SECG curve ``secp256r1``. Also called NIST P-256.
.. class:: SECT224R1
.. versionadded:: 0.5
SECG curve ``secp224r1``. Also called NIST P-224.
.. class:: SECP192R1
.. versionadded:: 0.5
SECG curve ``secp192r1``. Also called NIST P-192.
.. _`FIPS 186-3`: http://csrc.nist.gov/publications/fips/fips186-3/fips_186-3.pdf
.. _`FIPS 186-4`: http://nvlpubs.nist.gov/nistpubs/FIPS/NIST.FIPS.186-4.pdf
.. _`some concern`: https://crypto.stackexchange.com/questions/10263/should-we-trust-the-nist-recommended-ecc-parameters
|
