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<?xml version="1.0" encoding="ascii"?>
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  <title>Crypto.PublicKey.RSA</title>
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        <a href="Crypto-module.html">Package&nbsp;Crypto</a> ::
        <a href="Crypto.PublicKey-module.html">Package&nbsp;PublicKey</a> ::
        Module&nbsp;RSA
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<!-- ==================== MODULE DESCRIPTION ==================== -->
<h1 class="epydoc">Module RSA</h1><p class="nomargin-top"></p>
RSA public-key cryptography algorithm.

<!-- ==================== CLASSES ==================== -->
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        <a href="Crypto.PublicKey.DSA.error-class.html" class="summary-name">error</a>
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        <a href="Crypto.PublicKey.RSA._RSAobj-class.html" class="summary-name" onclick="show_private();">_RSAobj</a><br />
      Class defining an actual RSA key.
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      <span class="summary-type">&nbsp;</span>
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        <a href="Crypto.PublicKey.RSA.RSAImplementation-class.html" class="summary-name" onclick="show_private();">RSAImplementation</a><br />
      An RSA key factory.
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<!-- ==================== FUNCTIONS ==================== -->
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          <td><span class="summary-sig"><a href="Crypto.PublicKey.RSA-module.html#generate" class="summary-sig-name">generate</a>(<span class="summary-sig-arg">bits</span>,
        <span class="summary-sig-arg">randfunc</span>=<span class="summary-sig-default">None</span>,
        <span class="summary-sig-arg">progress_func</span>=<span class="summary-sig-default">None</span>,
        <span class="summary-sig-arg">e</span>=<span class="summary-sig-default">65537</span>)</span><br />
      Randomly generate a fresh, new RSA key object.</td>
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          <td><span class="summary-sig"><a href="Crypto.PublicKey.RSA-module.html#construct" class="summary-sig-name">construct</a>(<span class="summary-sig-arg">tup</span>)</span><br />
      Construct an RSA key object from a tuple of valid RSA components.</td>
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          <td><span class="summary-sig"><a href="Crypto.PublicKey.RSA-module.html#importKey" class="summary-sig-name">importKey</a>(<span class="summary-sig-arg">externKey</span>,
        <span class="summary-sig-arg">passphrase</span>=<span class="summary-sig-default">None</span>)</span><br />
      Import an RSA key (public or private half), encoded in standard form.</td>
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<!-- ==================== VARIABLES ==================== -->
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      <span class="summary-type">&nbsp;</span>
    </td><td class="summary">
        <a href="Crypto.PublicKey.RSA-module.html#algorithmIdentifier" class="summary-name" onclick="show_private();">algorithmIdentifier</a> = <code title="'0\r\x06\t*\x86H\x86\xf7\r\x01\x01\x01\x05\x00'"><code class="variable-quote">'</code><code class="variable-string">0\r\x06\t*\x86H\x86\xf7\r\x01\x01\x01\x</code><code class="variable-ellipsis">...</code></code><br />
      This is the ASN.1 DER object that qualifies an algorithm as
compliant to PKCS#1 (that is, the standard RSA).
    </td>
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      <span class="summary-type">&nbsp;</span>
    </td><td class="summary">
        <a name="__package__"></a><span class="summary-name">__package__</span> = <code title="'Crypto.PublicKey'"><code class="variable-quote">'</code><code class="variable-string">Crypto.PublicKey</code><code class="variable-quote">'</code></code>
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  <h3 class="epydoc"><span class="sig"><span class="sig-name">generate</span>(<span class="sig-arg">bits</span>,
        <span class="sig-arg">randfunc</span>=<span class="sig-default">None</span>,
        <span class="sig-arg">progress_func</span>=<span class="sig-default">None</span>,
        <span class="sig-arg">e</span>=<span class="sig-default">65537</span>)</span>
  </h3>
  </td><td align="right" valign="top"
    >&nbsp;
    </td>
  </tr></table>
  
  <p>Randomly generate a fresh, new RSA key object.</p>
<p>See <a href="Crypto.PublicKey.RSA.RSAImplementation-class.html#generate" class="link">RSAImplementation.generate</a>.</p>
  <dl class="fields">
    <dt>Parameters:</dt>
    <dd><ul class="nomargin-top">
        <li><p><strong class="pname"><code>bits</code></strong> (int) - Key length, or size (in bits) of the RSA modulus.</p>
<p>It must be a multiple of 256, and no smaller than 1024.</p></li>
        <li><strong class="pname"><code>randfunc</code></strong> (callable) - Random number generation function; it should accept
a single integer N and return a string of random data
N bytes long.</li>
        <li><strong class="pname"><code>progress_func</code></strong> (callable) - Optional function that will be called with a short string
containing the key parameter currently being generated;
it's useful for interactive applications where a user is
waiting for a key to be generated.</li>
        <li><p><strong class="pname"><code>e</code></strong> (int) - Public RSA exponent. It must be an odd positive integer.</p>
<p>It is typically a small number with very few ones in its
binary representation.</p>
<p>The default value 65537 (= <tt class="rst-docutils literal">0b10000000000000001</tt> ) is a safe
choice: other common values are 5, 7, 17, and 257.</p></li>
    </ul></dd>
    <dt>Raises:</dt>
    <dd><ul class="nomargin-top">
        <li><code><strong class='fraise'>ValueError</strong></code> - When <strong>bits</strong> is too little or not a multiple of 256, or when
<strong>e</strong> is not odd or smaller than 2.</li>
    </ul></dd>
  </dl>
<div class="fields">      <strong>Attention:</strong>
      <ul class="nomargin-top">
        <li>
        You should always use a cryptographically secure random number generator,
such as the one defined in the <tt class="rst-docutils literal">Crypto.Random</tt> module; <strong>don't</strong> just use the
current time and the <tt class="rst-docutils literal">random</tt> module.
        </li>
        <li>
        Exponent 3 is also widely used, but it requires very special care when padding
the message.
        </li>
      </ul>
</div></td></tr></table>
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<a name="construct"></a>
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  <h3 class="epydoc"><span class="sig"><span class="sig-name">construct</span>(<span class="sig-arg">tup</span>)</span>
  </h3>
  </td><td align="right" valign="top"
    >&nbsp;
    </td>
  </tr></table>
  
  <p>Construct an RSA key object from a tuple of valid RSA components.</p>
<p>See <a href="Crypto.PublicKey.RSA.RSAImplementation-class.html#construct" class="link">RSAImplementation.construct</a>.</p>
  <dl class="fields">
    <dt>Parameters:</dt>
    <dd><ul class="nomargin-top">
        <li><p><strong class="pname"><code>tup</code></strong> (tuple) - A tuple of long integers, with at least 2 and no
more than 6 items. The items come in the following order:</p>
<ol class="rst-arabic simple">
<li>RSA modulus (n).</li>
<li>Public exponent (e).</li>
<li>Private exponent (d). Only required if the key is private.</li>
<li>First factor of n (p). Optional.</li>
<li>Second factor of n (q). Optional.</li>
<li>CRT coefficient, (1/p) mod q (u). Optional.</li>
</ol></li>
    </ul></dd>
  </dl>
</td></tr></table>
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<a name="importKey"></a>
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  <h3 class="epydoc"><span class="sig"><span class="sig-name">importKey</span>(<span class="sig-arg">externKey</span>,
        <span class="sig-arg">passphrase</span>=<span class="sig-default">None</span>)</span>
  </h3>
  </td><td align="right" valign="top"
    >&nbsp;
    </td>
  </tr></table>
  
  <p>Import an RSA key (public or private half), encoded in standard form.</p>
<p>See <a href="Crypto.PublicKey.RSA.RSAImplementation-class.html#importKey" class="link">RSAImplementation.importKey</a>.</p>
  <dl class="fields">
    <dt>Parameters:</dt>
    <dd><ul class="nomargin-top">
        <li><p><strong class="pname"><code>externKey</code></strong> (string) - The RSA key to import, encoded as a string.</p>
<p>The key can be in any of the following formats:</p>
<ul class="rst-simple">
<li>DER + PKCS#1 (binary)</li>
<li>PEM + PKCS#1 (textual, according to RFC1421/3)</li>
<li>DER + PKCS#8 (binary, private key only)</li>
<li>PEM + PKCS#8 (textual, according to RFC5208, private key only)</li>
<li>OpenSSH (textual public key only)</li>
</ul>
<p>In case of PEM + PKCS#1, the key can be encrypted with DES or 3TDES according to a certain <tt class="rst-docutils literal">pass phrase</tt>.
Only OpenSSL-compatible pass phrases are supported.</p></li>
        <li><strong class="pname"><code>passphrase</code></strong> (string) - In case of an encrypted PEM key, this is the pass phrase from which the encryption key is derived.</li>
    </ul></dd>
    <dt>Raises:</dt>
    <dd><ul class="nomargin-top">
        <li><code><strong class='fraise'>ValueError/IndexError/TypeError</strong></code> - When the given key cannot be parsed (possibly because the pass phrase is wrong).</li>
    </ul></dd>
  </dl>
</td></tr></table>
</div>
<br />
<!-- ==================== VARIABLES DETAILS ==================== -->
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<a name="algorithmIdentifier"></a>
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  <h3 class="epydoc">algorithmIdentifier</h3>
  This is the ASN.1 DER object that qualifies an algorithm as
compliant to PKCS#1 (that is, the standard RSA).
  <dl class="fields">
  </dl>
  <dl class="fields">
    <dt>Value:</dt>
      <dd><table><tr><td><pre class="variable">
<code class="variable-quote">'</code><code class="variable-string">0\r\x06\t*\x86H\x86\xf7\r\x01\x01\x01\x05\x00</code><code class="variable-quote">'</code>
</pre></td></tr></table>
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