Usage
==================================================

This section describes the usage of the Python-RSA module.

Before you can use RSA you need keys. You will receive a private key
and a public key.

.. note::

    The private key is called *private* for a reason. Never share this
    key with anyone.

The public key is used for encypting a message such that it can only
be read by the owner of the private key. As such it's also referred to
as the *encryption key*. Decrypting a message can only be done using
the private key, hence it's also called the *decryption key*.

The private key is used for signing a message. With this signature and
the public key, the receiver can verifying that a message was signed
by the owner of the private key, and that the message was not modified
after signing.

Generating keys
--------------------------------------------------

You can use the :py:func:`rsa.newkeys` function to create a keypair:

    >>> (pubkey, privkey) = rsa.newkeys(512)

Alternatively you can use :py:meth:`rsa.PrivateKey.load_pkcs1` and
:py:meth:`rsa.PublicKey.load_pkcs1` to load keys from a file:

    >>> with open('private.pem') as privatefile:
    ...     keydata = privatefile.read()
    >>> pubkey = rsa.PrivateKey.load_pkcs1(keydata)

Generating a keypair may take a long time, depending on the number of
bits required. The number of bits determines the cryptographic
strength of the key, as well as the size of the message you can
encrypt. If you don't mind having a slightly smaller key than you
requested, you can pass ``accurate=False`` to speed up the key
generation process.

These are some timings from my netbook (Linux 2.6, 1.6 GHz Intel Atom
N270 CPU, 2 GB RAM):

+----------------+------------------+
| Keysize (bits) | Time to generate |
+================+==================+
| 32             | 0.01 sec.        |
+----------------+------------------+
| 64             | 0.03 sec.        |
+----------------+------------------+
| 96             | 0.04 sec.        |
+----------------+------------------+
| 128            | 0.08 sec.        |
+----------------+------------------+
| 256            | 0.27 sec.        |
+----------------+------------------+
| 384            | 0.93 sec.        |
+----------------+------------------+
| 512            | 1.21 sec.        |
+----------------+------------------+
| 1024           | 7.93 sec.        |
+----------------+------------------+
| 2048           | 132.97 sec.      |
+----------------+------------------+


Encryption and decryption
--------------------------------------------------

To encrypt or decrypt a message, use :py:func:`rsa.encrypt` resp.
:py:func:`rsa.decrypt`. Let's say that Alice wants to send a message
that only Bob can read.

#. Bob generates a keypair, and gives the public key to Alice. This is
   done such that Alice knows for sure that the key is really Bob's
   (for example by handing over a USB stick that contains the key).

    >>> (bob_pub, bob_priv) = rsa.newkeys(512)

#. Alice writes a message

    >>> message = 'hello Bob!'

#. Alice encrypts the message using Bob's public key, and sends the
   encrypted message.

    >>> crypto = rsa.encrypt(message, bob_pub)

#. Bob receives the message, and decrypts it with his private key.

    >>> message = rsa.decrypt(crypto, bob_priv)
    >>> print message
    hello Bob!

Since Bob kept his private key *private*, Alice can be sure that he is
the only one who can read the message.

.. note::

    Bob does *not* know for sure that it was Alice that sent the
    message, since she didn't sign it.


RSA can only encrypt messages that are smaller than the key. A couple
of bytes are lost on random padding, and the rest is available for the
message itself. For example, a 512-bit key can encode a 53-byte
message (512 bit = 64 bytes, 11 bytes are used for random padding and
other stuff).

See `Working with big files`_ for information on how to work with
larger files.

Low-level operations
++++++++++++++++++++++++++++++

The core RSA algorithm operates on large integers. These operations
are considered low-level and are supported by the
:py:func:`rsa.core.encrypt_int` and :py:func:`rsa.core.decrypt_int`
functions.

Signing and verification
--------------------------------------------------

You can create a detached signature for a message using the
:py:func:`rsa.sign` function:

    >>> (pubkey, privkey) = rsa.newkeys(512)
    >>> message = 'Go left at the blue tree'
    >>> signature = rsa.sign(message, privkey, 'SHA-1')
    
This hashes the message using SHA-1. Other hash methods are also
possible, check the :py:func:`rsa.sign` function documentation for
details. The hash is then signed with the private key.

In order to verify the signature, use the :py:func:`rsa.verify`
function.

    >>> message = 'Go left at the blue tree'
    >>> rsa.verify(message, signature, pubkey)

Modify the message, and the signature is no longer valid and a
:py:class:`rsa.pkcs1.VerificationError` is thrown:

    >>> message = 'Go right at the blue tree'
    >>> rsa.verify(message, signature, pubkey)
    Traceback (most recent call last):
      File "<stdin>", line 1, in <module>
      File "/home/sybren/workspace/python-rsa/rsa/pkcs1.py", line 289, in verify
        raise VerificationError('Verification failed')
    rsa.pkcs1.VerificationError: Verification failed

.. note::

    Never display the stack trace of a
    :py:class:`rsa.pkcs1.VerificationError` exception. It shows where
    in the code the exception occurred, and thus leaks information
    about the key. It's only a tiny bit of information, but every bit
    makes cracking the keys easier.

Instead of a message you can also call :py:func:`rsa.sign` and
:py:func:`rsa.verify` with a :py:class:`file`-like object. If the
message object has a ``read(int)`` method it is assumed to be a file.
In that case the file is hashed in 1024-byte blocks at the time.

    >>> with open('somefile', 'rb') as msgfile:
    ...     signature = rsa.sign(msgfile, privkey, 'SHA-1')

    >>> with open('somefile', 'rb') as msgfile:
    ...     rsa.verify(msgfile, signature, pubkey)


Working with big files
--------------------------------------------------

RSA can only encrypt messages that are smaller than the key. A couple
of bytes are lost on random padding, and the rest is available for the
message itself. For example, a 512-bit key can encode a 53-byte
message (512 bit = 64 bytes, 11 bytes are used for random padding and
other stuff).

How it usually works
++++++++++++++++++++++++++++++++++++++++

The most common way to use RSA with larger files uses a block cypher
like AES or DES3 to encrypt the file with a random key, then encrypt
the random key with RSA. You would send the encrypted file along with
the encrypted key to the recipient. The complete flow is:

#. Generate a random key

    >>> import rsa.randnum
    >>> aes_key = rsa.randnum.read_random_bits(128)

#. Use that key to encrypt the file with AES.
#. Encrypt the AES key with RSA

    >>> encrypted_aes_key = rsa.encrypt(aes_key, public_key)

#. Send the encrypted file together with ``encrypted_aes_key``
#. The recipient now reverses this process to obtain the encrypted
   file.


Only using Python-RSA
++++++++++++++++++++++++++++++++++++++++

As far as we know, there is no pure-Python AES encryption. Previous
versions of Python-RSA included functionality to encrypt large files,
with just RSA, and so does this version. The format has been improved,
though.

Encrypting works as follows: the input file is split into blocks that
are just large enough to encrypt with your RSA key. Every block is
then encrypted using RSA, and the encrypted blocks are assembled into
the output file. This file format is called the VARBLOCK format.

Decrypting works in reverse. The encrypted file is separated into
encrypted blocks. Those are decrypted, and assembled into the original
file.

.. note::
    The file will get larger after encryption, as each encrypted block
    has 8 bytes of random padding and 3 more bytes of overhead.

Since these encryption/decryption functions are potentially called on
very large files, they use another approach. Where the regular
functions store the message in memory in its entirety, these functions
work on one block at the time. As a result, you should call them with
:py:class:`file`-like objects as the parameters.

Before using we of course need a keypair:

>>> import rsa
>>> (pub_key, priv_key) = rsa.newkeys(512)

Encryption works on file handles:

>>> from rsa.bigfile import *
>>> with open('inputfile', 'rb') as infile, open('outputfile', 'wb') as outfile:
...     encrypt_bigfile(infile, outfile, pub_key)

As does decryption:

>>> from rsa.bigfile import *
>>> with open('inputfile', 'rb') as infile, open('outputfile', 'wb') as outfile:
...     decrypt_bigfile(infile, outfile, priv_key)

.. note::
    :py:func:`rsa.sign` and :py:func:`rsa.verify` work on arbitrarily
    long files, so they do not have a "bigfile" equivalent.