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import_keyRsaKeyoid N)Random)tobytesbordtostr) DerSequenceDerNull)Integer)test_probable_primegenerate_probable_prime COMPOSITE) _expand_subject_public_key_info _create_subject_public_key_info _extract_subject_public_key_infoc e Zd ZdZd Zed Zed Zed Zed Z ed Z
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Zd Zd Zd Zd Zd Zd Zd Zd Zd Zd Zd Zd Z d%d Z e Z eZ d Z d Z!d Z"d! Z#d" Z$d# Z%d$ Z&dS )&r a Class defining an actual RSA key.
Do not instantiate directly.
Use :func:`generate`, :func:`construct` or :func:`import_key` instead.
:ivar n: RSA modulus
:vartype n: integer
:ivar e: RSA public exponent
:vartype e: integer
:ivar d: RSA private exponent
:vartype d: integer
:ivar p: First factor of the RSA modulus
:vartype p: integer
:ivar q: Second factor of the RSA modulus
:vartype q: integer
:ivar invp: Chinese remainder component (:math:`p^{-1} \text{mod } q`)
:vartype invp: integer
:ivar invq: Chinese remainder component (:math:`q^{-1} \text{mod } p`)
:vartype invq: integer
:ivar u: Same as ``invp``
:vartype u: integer
:undocumented: exportKey, publickey
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:Keywords:
n : integer
The modulus.
e : integer
The public exponent.
d : integer
The private exponent. Only required for private keys.
p : integer
The first factor of the modulus. Only required for private keys.
q : integer
The second factor of the modulus. Only required for private keys.
u : integer
The CRT coefficient (inverse of p modulo q). Only required for
private keys.
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Args:
format (string):
The format to use for wrapping the key:
- *'PEM'*. (*Default*) Text encoding, done according to `RFC1421`_/`RFC1423`_.
- *'DER'*. Binary encoding.
- *'OpenSSH'*. Textual encoding, done according to OpenSSH specification.
Only suitable for public keys (not private keys).
passphrase (string):
(*For private keys only*) The pass phrase used for protecting the output.
pkcs (integer):
(*For private keys only*) The ASN.1 structure to use for
serializing the key. Note that even in case of PEM
encoding, there is an inner ASN.1 DER structure.
With ``pkcs=1`` (*default*), the private key is encoded in a
simple `PKCS#1`_ structure (``RSAPrivateKey``).
With ``pkcs=8``, the private key is encoded in a `PKCS#8`_ structure
(``PrivateKeyInfo``).
.. note::
This parameter is ignored for a public key.
For DER and PEM, an ASN.1 DER ``SubjectPublicKeyInfo``
structure is always used.
protection (string):
(*For private keys only*)
The encryption scheme to use for protecting the private key.
If ``None`` (default), the behavior depends on :attr:`format`:
- For *'DER'*, the *PBKDF2WithHMAC-SHA1AndDES-EDE3-CBC*
scheme is used. The following operations are performed:
1. A 16 byte Triple DES key is derived from the passphrase
using :func:`Crypto.Protocol.KDF.PBKDF2` with 8 bytes salt,
and 1 000 iterations of :mod:`Crypto.Hash.HMAC`.
2. The private key is encrypted using CBC.
3. The encrypted key is encoded according to PKCS#8.
- For *'PEM'*, the obsolete PEM encryption scheme is used.
It is based on MD5 for key derivation, and Triple DES for encryption.
Specifying a value for :attr:`protection` is only meaningful for PKCS#8
(that is, ``pkcs=8``) and only if a pass phrase is present too.
The supported schemes for PKCS#8 are listed in the
:mod:`Crypto.IO.PKCS8` module (see :attr:`wrap_algo` parameter).
randfunc (callable):
A function that provides random bytes. Only used for PEM encoding.
The default is :func:`Crypto.Random.get_random_bytes`.
Returns:
byte string: the encoded key
Raises:
ValueError:when the format is unknown or when you try to encrypt a private
key with *DER* format and PKCS#1.
.. warning::
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
.. _`PKCS#1`: http://www.ietf.org/rfc/rfc3447.txt
.. _`PKCS#8`: http://www.ietf.org/rfc/rfc5208.txt
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S )a0 Create a new RSA key pair.
The algorithm closely follows NIST `FIPS 186-4`_ in its
sections B.3.1 and B.3.3. The modulus is the product of
two non-strong probable primes.
Each prime passes a suitable number of Miller-Rabin tests
with random bases and a single Lucas test.
Args:
bits (integer):
Key length, or size (in bits) of the RSA modulus.
It must be at least 1024, but **2048 is recommended.**
The FIPS standard only defines 1024, 2048 and 3072.
randfunc (callable):
Function that returns random bytes.
The default is :func:`Crypto.Random.get_random_bytes`.
e (integer):
Public RSA exponent. It must be an odd positive integer.
It is typically a small number with very few ones in its
binary representation.
The FIPS standard requires the public exponent to be
at least 65537 (the default).
Returns: an RSA key object (:class:`RsaKey`, with private key).
.. _FIPS 186-4: http://nvlpubs.nist.gov/nistpubs/FIPS/NIST.FIPS.186-4.pdf
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|z | z dk rt d |S )a! Construct an RSA key from a tuple of valid RSA components.
The modulus **n** must be the product of two primes.
The public exponent **e** must be odd and larger than 1.
In case of a private key, the following equations must apply:
.. math::
\begin{align}
p*q &= n \\
e*d &\equiv 1 ( \text{mod lcm} [(p-1)(q-1)]) \\
p*u &\equiv 1 ( \text{mod } q)
\end{align}
Args:
rsa_components (tuple):
A tuple of integers, with at least 2 and no
more than 6 items. The items come in the following order:
1. RSA modulus *n*.
2. Public exponent *e*.
3. Private exponent *d*.
Only required if the key is private.
4. First factor of *n* (*p*).
Optional, but the other factor *q* must also be present.
5. Second factor of *n* (*q*). Optional.
6. CRT coefficient *q*, that is :math:`p^{-1} \text{mod }q`. Optional.
consistency_check (boolean):
If ``True``, the library will verify that the provided components
fulfil the main RSA properties.
Raises:
ValueError: when the key being imported fails the most basic RSA validity checks.
Returns: An RSA key object (:class:`RsaKey`).
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)a Import an RSA key (public or private).
Args:
extern_key (string or byte string):
The RSA key to import.
The following formats are supported for an RSA **public key**:
- X.509 certificate (binary or PEM format)
- X.509 ``subjectPublicKeyInfo`` DER SEQUENCE (binary or PEM
encoding)
- `PKCS#1`_ ``RSAPublicKey`` DER SEQUENCE (binary or PEM encoding)
- An OpenSSH line (e.g. the content of ``~/.ssh/id_ecdsa``, ASCII)
The following formats are supported for an RSA **private key**:
- PKCS#1 ``RSAPrivateKey`` DER SEQUENCE (binary or PEM encoding)
- `PKCS#8`_ ``PrivateKeyInfo`` or ``EncryptedPrivateKeyInfo``
DER SEQUENCE (binary or PEM encoding)
- OpenSSH (text format, introduced in `OpenSSH 6.5`_)
For details about the PEM encoding, see `RFC1421`_/`RFC1423`_.
passphrase (string or byte string):
For private keys only, the pass phrase that encrypts the key.
Returns: An RSA key object (:class:`RsaKey`).
Raises:
ValueError/IndexError/TypeError:
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
.. _`PKCS#1`: http://www.ietf.org/rfc/rfc3447.txt
.. _`PKCS#8`: http://www.ietf.org/rfc/rfc5208.txt
.. _`OpenSSH 6.5`: https://flak.tedunangst.com/post/new-openssh-key-format-and-bcrypt-pbkdf
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