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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
+ </span>
+ </td>
+ <td>
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+ <!-- hide/show private -->
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+</table>
+<!-- ==================== MODULE DESCRIPTION ==================== -->
+<h1 class="epydoc">Module RSA</h1><p class="nomargin-top"></p>
+<p>RSA public-key cryptography algorithm (signature and encryption).</p>
+<p><a class="rst-reference external" href="http://en.wikipedia.org/wiki/RSA_%28algorithm%29" target="_top">RSA</a> is the most widespread and used public key algorithm. Its security is
+based on the difficulty of factoring large integers. The algorithm has
+withstood attacks for 30 years, and it is therefore considered reasonably
+secure for new designs.</p>
+<p>The algorithm can be used for both confidentiality (encryption) and
+authentication (digital signature). It is worth noting that signing and
+decryption are significantly slower than verification and encryption.
+The cryptograhic strength is primarily linked to the length of the modulus <em>n</em>.
+In 2012, a sufficient length is deemed to be 2048 bits. For more information,
+see the most recent <a class="rst-reference external" href="http://www.ecrypt.eu.org/documents/D.SPA.17.pdf" target="_top">ECRYPT</a> report.</p>
+<p>Both RSA ciphertext and RSA signature are as big as the modulus <em>n</em> (256
+bytes if <em>n</em> is 2048 bit long).</p>
+<p>This module provides facilities for generating fresh, new RSA keys, constructing
+them from known components, exporting them, and importing them.</p>
+<blockquote>
+<pre class="py-doctest">
+<span class="py-prompt">&gt;&gt;&gt; </span><span class="py-keyword">from</span> Crypto.PublicKey <span class="py-keyword">import</span> RSA
+<span class="py-prompt">&gt;&gt;&gt;</span>
+<span class="py-prompt">&gt;&gt;&gt; </span>key = RSA.generate(2048)
+<span class="py-prompt">&gt;&gt;&gt; </span>f = open(<span class="py-string">'mykey.pem'</span>,<span class="py-string">'w'</span>)
+<span class="py-prompt">&gt;&gt;&gt; </span>f.write(RSA.exportKey(<span class="py-string">'PEM'</span>))
+<span class="py-prompt">&gt;&gt;&gt; </span>f.close()
+<span class="py-more">...</span>
+<span class="py-prompt">&gt;&gt;&gt; </span>f = open(<span class="py-string">'mykey.pem'</span>,<span class="py-string">'r'</span>)
+<span class="py-prompt">&gt;&gt;&gt; </span>key = RSA.importKey(f.read())</pre>
+</blockquote>
+<p>Even though you may choose to directly use the methods of an RSA key object
+to perform the primitive cryptographic operations (e.g. <a href="Crypto.PublicKey.RSA._RSAobj-class.html#encrypt" class="link">_RSAobj.encrypt</a>),
+it is recommended to use one of the standardized schemes instead (like
+<a href="Crypto.Cipher.PKCS1_v1_5-module.html" class="link">Crypto.Cipher.PKCS1_v1_5</a> or <a href="Crypto.Signature.PKCS1_v1_5-module.html" class="link">Crypto.Signature.PKCS1_v1_5</a>).</p>
+
+<!-- ==================== CLASSES ==================== -->
+<a name="section-Classes"></a>
+<table class="summary" border="1" cellpadding="3"
+ cellspacing="0" width="100%" bgcolor="white">
+<tr bgcolor="#70b0f0" class="table-header">
+ <td align="left" colspan="2" class="table-header">
+ <span class="table-header">Classes</span></td>
+</tr>
+<tr>
+ <td width="15%" align="right" valign="top" class="summary">
+ <span class="summary-type">&nbsp;</span>
+ </td><td class="summary">
+ <a href="Crypto.PublicKey.RSA.error-class.html" class="summary-name">error</a>
+ </td>
+ </tr>
+<tr>
+ <td width="15%" align="right" valign="top" class="summary">
+ <span class="summary-type">&nbsp;</span>
+ </td><td class="summary">
+ <a href="Crypto.PublicKey.RSA._RSAobj-class.html" class="summary-name">_RSAobj</a><br />
+ Class defining an actual RSA key.
+ </td>
+ </tr>
+<tr>
+ <td width="15%" align="right" valign="top" class="summary">
+ <span class="summary-type">&nbsp;</span>
+ </td><td class="summary">
+ <a href="Crypto.PublicKey.RSA.RSAImplementation-class.html" class="summary-name">RSAImplementation</a><br />
+ An RSA key factory.
+ </td>
+ </tr>
+</table>
+<!-- ==================== FUNCTIONS ==================== -->
+<a name="section-Functions"></a>
+<table class="summary" border="1" cellpadding="3"
+ cellspacing="0" width="100%" bgcolor="white">
+<tr bgcolor="#70b0f0" class="table-header">
+ <td align="left" colspan="2" class="table-header">
+ <span class="table-header">Functions</span></td>
+</tr>
+<tr>
+ <td width="15%" align="right" valign="top" class="summary">
+ <span class="summary-type">&nbsp;</span>
+ </td><td class="summary">
+ <table width="100%" cellpadding="0" cellspacing="0" border="0">
+ <tr>
+ <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>
+ <td align="right" valign="top">
+
+
+ </td>
+ </tr>
+ </table>
+
+ </td>
+ </tr>
+<tr>
+ <td width="15%" align="right" valign="top" class="summary">
+ <span class="summary-type">&nbsp;</span>
+ </td><td class="summary">
+ <table width="100%" cellpadding="0" cellspacing="0" border="0">
+ <tr>
+ <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>
+ <td align="right" valign="top">
+
+
+ </td>
+ </tr>
+ </table>
+
+ </td>
+ </tr>
+<tr>
+ <td width="15%" align="right" valign="top" class="summary">
+ <span class="summary-type">&nbsp;</span>
+ </td><td class="summary">
+ <table width="100%" cellpadding="0" cellspacing="0" border="0">
+ <tr>
+ <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>
+ <td align="right" valign="top">
+
+
+ </td>
+ </tr>
+ </table>
+
+ </td>
+ </tr>
+</table>
+<!-- ==================== FUNCTION DETAILS ==================== -->
+<a name="section-FunctionDetails"></a>
+<table class="details" border="1" cellpadding="3"
+ cellspacing="0" width="100%" bgcolor="white">
+<tr bgcolor="#70b0f0" class="table-header">
+ <td align="left" colspan="2" class="table-header">
+ <span class="table-header">Function Details</span></td>
+</tr>
+</table>
+<a name="generate"></a>
+<div>
+<table class="details" border="1" cellpadding="3"
+ cellspacing="0" width="100%" bgcolor="white">
+<tr><td>
+ <table width="100%" cellpadding="0" cellspacing="0" border="0">
+ <tr valign="top"><td>
+ <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><strong class="pname"><code>bits</code></strong> (int) - Key length, or size (in bits) of the RSA modulus.
+It must be a multiple of 256, and no smaller than 1024.</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.
+If not specified, a new one will be instantiated
+from <tt class="rst-docutils literal">Crypto.Random</tt>.</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><strong class="pname"><code>e</code></strong> (int) - 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 default value 65537 (= <tt class="rst-docutils literal">0b10000000000000001</tt> ) is a safe
+choice: other common values are 5, 7, 17, and 257.</li>
+ </ul></dd>
+ <dt>Returns:</dt>
+ <dd>An RSA key object (<a href="Crypto.PublicKey.RSA._RSAobj-class.html" class="link">_RSAobj</a>).</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>
+</div>
+<a name="construct"></a>
+<div>
+<table class="details" border="1" cellpadding="3"
+ cellspacing="0" width="100%" bgcolor="white">
+<tr><td>
+ <table width="100%" cellpadding="0" cellspacing="0" border="0">
+ <tr valign="top"><td>
+ <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>
+ <dt>Returns:</dt>
+ <dd>An RSA key object (<a href="Crypto.PublicKey.RSA._RSAobj-class.html" class="link">_RSAobj</a>).</dd>
+ </dl>
+</td></tr></table>
+</div>
+<a name="importKey"></a>
+<div>
+<table class="details" border="1" cellpadding="3"
+ cellspacing="0" width="100%" bgcolor="white">
+<tr><td>
+ <table width="100%" cellpadding="0" cellspacing="0" border="0">
+ <tr valign="top"><td>
+ <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>An RSA public key can be in any of the following formats:</p>
+<ul class="rst-simple">
+<li>X.509 <code class="link">subjectPublicKeyInfo</code> DER SEQUENCE (binary or PEM encoding)</li>
+<li><a class="rst-reference external" href="http://www.ietf.org/rfc/rfc3447.txt" target="_top">PKCS#1</a> <code class="link">RSAPublicKey</code> DER SEQUENCE (binary or PEM encoding)</li>
+<li>OpenSSH (textual public key only)</li>
+</ul>
+<p>An RSA private key can be in any of the following formats:</p>
+<ul class="rst-simple">
+<li>PKCS#1 <code class="link">RSAPrivateKey</code> DER SEQUENCE (binary or PEM encoding)</li>
+<li><a class="rst-reference external" href="http://www.ietf.org/rfc/rfc5208.txt" target="_top">PKCS#8</a> <code class="link">PrivateKeyInfo</code> DER SEQUENCE (binary or PEM encoding)</li>
+<li>OpenSSH (textual public key only)</li>
+</ul>
+<p>For details about the PEM encoding, see <a class="rst-reference external" href="http://www.ietf.org/rfc/rfc1421.txt" target="_top">RFC1421</a>/<a class="rst-reference external" href="http://www.ietf.org/rfc/rfc1423.txt" target="_top">RFC1423</a>.</p>
+<p>In case of PEM encoding, the private 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>Returns:</dt>
+ <dd>An RSA key object (<a href="Crypto.PublicKey.RSA._RSAobj-class.html" class="link">_RSAobj</a>).</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>
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