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apache / incubator-milagro / a8408091c9cd4032ae8420c303e5047e7d7450b7 / . / website / static / cdocs / paillier_8h.html
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<a href="#nested-classes">Data Structures</a> &#124;
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<div class="title">paillier.h File Reference</div> </div>
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<p>Paillier declarations.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;stdio.h&gt;</code><br />
<code>#include &lt;stdlib.h&gt;</code><br />
<code>#include &lt;string.h&gt;</code><br />
<code>#include &lt;time.h&gt;</code><br />
<code>#include &quot;<a class="el" href="ff__4096_8h_source.html">ff_4096.h</a>&quot;</code><br />
<code>#include &quot;<a class="el" href="ff__2048_8h_source.html">ff_2048.h</a>&quot;</code><br />
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<p><a href="paillier_8h_source.html">Go to the source code of this file.</a></p>
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Data Structures</h2></td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structPAILLIER__public__key.html">PAILLIER_public_key</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Paillier Public Key. <a href="structPAILLIER__public__key.html#details">More...</a><br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structPAILLIER__private__key.html">PAILLIER_private_key</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Paillier Private Key. <a href="structPAILLIER__private__key.html#details">More...</a><br /></td></tr>
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Macros</h2></td></tr>
<tr class="memitem:a8e7c673251fe80bcf47e9bb26674cd97"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="paillier_8h.html#a8e7c673251fe80bcf47e9bb26674cd97">FS_4096</a>&#160;&#160;&#160;<a class="el" href="config__big__512__60_8h.html#ab19d60ee027e5dad97c3c89e3d3d7525">MODBYTES_512_60</a>*<a class="el" href="config__ff__4096_8h.html#af3c21ac004bc32aa00e7a20811de549c">FFLEN_4096</a></td></tr>
<tr class="separator:a8e7c673251fe80bcf47e9bb26674cd97"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae3ce9abc99cec679346a7d38bed96d9b"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="paillier_8h.html#ae3ce9abc99cec679346a7d38bed96d9b">FS_2048</a>&#160;&#160;&#160;<a class="el" href="config__big__1024__58_8h.html#a9cbbac7724e17efc1d82ed6981378112">MODBYTES_1024_58</a>*<a class="el" href="config__ff__2048_8h.html#a9d97b1d9ded0164b99640480ddac4f1e">FFLEN_2048</a></td></tr>
<tr class="separator:ae3ce9abc99cec679346a7d38bed96d9b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a1f681610ea37533def54ef7ef54ccb92"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="paillier_8h.html#a1f681610ea37533def54ef7ef54ccb92">HFS_4096</a>&#160;&#160;&#160;<a class="el" href="config__big__512__60_8h.html#ab19d60ee027e5dad97c3c89e3d3d7525">MODBYTES_512_60</a>*<a class="el" href="ff__4096_8h.html#a7f6ddf757543171f82e428ac7d423a11">HFLEN_4096</a></td></tr>
<tr class="separator:a1f681610ea37533def54ef7ef54ccb92"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af12daa3ccdbe8c973ca455b53f58f13b"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="paillier_8h.html#af12daa3ccdbe8c973ca455b53f58f13b">HFS_2048</a>&#160;&#160;&#160;<a class="el" href="config__big__1024__58_8h.html#a9cbbac7724e17efc1d82ed6981378112">MODBYTES_1024_58</a>*<a class="el" href="ff__2048_8h.html#a227e21d0b00faf73e541ec680ea433cc">HFLEN_2048</a></td></tr>
<tr class="separator:af12daa3ccdbe8c973ca455b53f58f13b"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:af2c7ba1d7f74ba21e17b54463a3bb7a8"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="paillier_8h.html#af2c7ba1d7f74ba21e17b54463a3bb7a8">PAILLIER_KEY_PAIR</a> (<a class="el" href="structcsprng.html">csprng</a> *RNG, <a class="el" href="structoctet.html">octet</a> *P, <a class="el" href="structoctet.html">octet</a> *Q, <a class="el" href="structPAILLIER__public__key.html">PAILLIER_public_key</a> *PUB, <a class="el" href="structPAILLIER__private__key.html">PAILLIER_private_key</a> *PRIV)</td></tr>
<tr class="memdesc:af2c7ba1d7f74ba21e17b54463a3bb7a8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Generate the key pair. <a href="#af2c7ba1d7f74ba21e17b54463a3bb7a8">More...</a><br /></td></tr>
<tr class="separator:af2c7ba1d7f74ba21e17b54463a3bb7a8"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a4cf8d2d20dbdb35662bd000c42252ad9"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="paillier_8h.html#a4cf8d2d20dbdb35662bd000c42252ad9">PAILLIER_PRIVATE_KEY_KILL</a> (<a class="el" href="structPAILLIER__private__key.html">PAILLIER_private_key</a> *PRIV)</td></tr>
<tr class="memdesc:a4cf8d2d20dbdb35662bd000c42252ad9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Clear private key. <a href="#a4cf8d2d20dbdb35662bd000c42252ad9">More...</a><br /></td></tr>
<tr class="separator:a4cf8d2d20dbdb35662bd000c42252ad9"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a637d7102d00ab63a898b34fb21c835d3"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="paillier_8h.html#a637d7102d00ab63a898b34fb21c835d3">PAILLIER_ENCRYPT</a> (<a class="el" href="structcsprng.html">csprng</a> *RNG, <a class="el" href="structPAILLIER__public__key.html">PAILLIER_public_key</a> *PUB, <a class="el" href="structoctet.html">octet</a> *PT, <a class="el" href="structoctet.html">octet</a> *CT, <a class="el" href="structoctet.html">octet</a> *R)</td></tr>
<tr class="memdesc:a637d7102d00ab63a898b34fb21c835d3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Encrypt a plaintext. <a href="#a637d7102d00ab63a898b34fb21c835d3">More...</a><br /></td></tr>
<tr class="separator:a637d7102d00ab63a898b34fb21c835d3"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:afdfd329c0c2296587f4ad31b726c46a9"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="paillier_8h.html#afdfd329c0c2296587f4ad31b726c46a9">PAILLIER_DECRYPT</a> (<a class="el" href="structPAILLIER__private__key.html">PAILLIER_private_key</a> *PRIV, <a class="el" href="structoctet.html">octet</a> *CT, <a class="el" href="structoctet.html">octet</a> *PT)</td></tr>
<tr class="memdesc:afdfd329c0c2296587f4ad31b726c46a9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Decrypt ciphertext. <a href="#afdfd329c0c2296587f4ad31b726c46a9">More...</a><br /></td></tr>
<tr class="separator:afdfd329c0c2296587f4ad31b726c46a9"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae7c14aa732c7296722ebee1a27b19a3f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="paillier_8h.html#ae7c14aa732c7296722ebee1a27b19a3f">PAILLIER_ADD</a> (<a class="el" href="structPAILLIER__public__key.html">PAILLIER_public_key</a> *PUB, <a class="el" href="structoctet.html">octet</a> *CT1, <a class="el" href="structoctet.html">octet</a> *CT2, <a class="el" href="structoctet.html">octet</a> *CT)</td></tr>
<tr class="memdesc:ae7c14aa732c7296722ebee1a27b19a3f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Homomorphic addition of plaintexts. <a href="#ae7c14aa732c7296722ebee1a27b19a3f">More...</a><br /></td></tr>
<tr class="separator:ae7c14aa732c7296722ebee1a27b19a3f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3efdaed7b02dacdf319966f253f26d40"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="paillier_8h.html#a3efdaed7b02dacdf319966f253f26d40">PAILLIER_MULT</a> (<a class="el" href="structPAILLIER__public__key.html">PAILLIER_public_key</a> *PUB, <a class="el" href="structoctet.html">octet</a> *CT1, <a class="el" href="structoctet.html">octet</a> *PT, <a class="el" href="structoctet.html">octet</a> *CT)</td></tr>
<tr class="memdesc:a3efdaed7b02dacdf319966f253f26d40"><td class="mdescLeft">&#160;</td><td class="mdescRight">Homomorphic multipication of plaintexts. <a href="#a3efdaed7b02dacdf319966f253f26d40">More...</a><br /></td></tr>
<tr class="separator:a3efdaed7b02dacdf319966f253f26d40"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8910d02efcaa97d176c90f2e20496d1a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="paillier_8h.html#a8910d02efcaa97d176c90f2e20496d1a">PAILLIER_PK_fromOctet</a> (<a class="el" href="structPAILLIER__public__key.html">PAILLIER_public_key</a> *PUB, <a class="el" href="structoctet.html">octet</a> *PK)</td></tr>
<tr class="memdesc:a8910d02efcaa97d176c90f2e20496d1a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Read a public key from its octet representation. <a href="#a8910d02efcaa97d176c90f2e20496d1a">More...</a><br /></td></tr>
<tr class="separator:a8910d02efcaa97d176c90f2e20496d1a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7de192657d81c9a434ef9e17ead98c15"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="paillier_8h.html#a7de192657d81c9a434ef9e17ead98c15">PAILLIER_PK_toOctet</a> (<a class="el" href="structoctet.html">octet</a> *PK, <a class="el" href="structPAILLIER__public__key.html">PAILLIER_public_key</a> *PUB)</td></tr>
<tr class="memdesc:a7de192657d81c9a434ef9e17ead98c15"><td class="mdescLeft">&#160;</td><td class="mdescRight">Write a public key to an octet. <a href="#a7de192657d81c9a434ef9e17ead98c15">More...</a><br /></td></tr>
<tr class="separator:a7de192657d81c9a434ef9e17ead98c15"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table>
<h2 class="groupheader">Macro Definition Documentation</h2>
<a id="ae3ce9abc99cec679346a7d38bed96d9b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae3ce9abc99cec679346a7d38bed96d9b">&#9670;&nbsp;</a></span>FS_2048</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">#define FS_2048&#160;&#160;&#160;<a class="el" href="config__big__1024__58_8h.html#a9cbbac7724e17efc1d82ed6981378112">MODBYTES_1024_58</a>*<a class="el" href="config__ff__2048_8h.html#a9d97b1d9ded0164b99640480ddac4f1e">FFLEN_2048</a></td>
</tr>
</table>
</div><div class="memdoc">
<p>2048 field size in bytes </p>
</div>
</div>
<a id="a8e7c673251fe80bcf47e9bb26674cd97"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a8e7c673251fe80bcf47e9bb26674cd97">&#9670;&nbsp;</a></span>FS_4096</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">#define FS_4096&#160;&#160;&#160;<a class="el" href="config__big__512__60_8h.html#ab19d60ee027e5dad97c3c89e3d3d7525">MODBYTES_512_60</a>*<a class="el" href="config__ff__4096_8h.html#af3c21ac004bc32aa00e7a20811de549c">FFLEN_4096</a></td>
</tr>
</table>
</div><div class="memdoc">
<p>4096 field size in bytes </p>
</div>
</div>
<a id="af12daa3ccdbe8c973ca455b53f58f13b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af12daa3ccdbe8c973ca455b53f58f13b">&#9670;&nbsp;</a></span>HFS_2048</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">#define HFS_2048&#160;&#160;&#160;<a class="el" href="config__big__1024__58_8h.html#a9cbbac7724e17efc1d82ed6981378112">MODBYTES_1024_58</a>*<a class="el" href="ff__2048_8h.html#a227e21d0b00faf73e541ec680ea433cc">HFLEN_2048</a></td>
</tr>
</table>
</div><div class="memdoc">
<p>Half 2048 field size in bytes </p>
</div>
</div>
<a id="a1f681610ea37533def54ef7ef54ccb92"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a1f681610ea37533def54ef7ef54ccb92">&#9670;&nbsp;</a></span>HFS_4096</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">#define HFS_4096&#160;&#160;&#160;<a class="el" href="config__big__512__60_8h.html#ab19d60ee027e5dad97c3c89e3d3d7525">MODBYTES_512_60</a>*<a class="el" href="ff__4096_8h.html#a7f6ddf757543171f82e428ac7d423a11">HFLEN_4096</a></td>
</tr>
</table>
</div><div class="memdoc">
<p>Half 4096 field size in bytes </p>
</div>
</div>
<h2 class="groupheader">Function Documentation</h2>
<a id="ae7c14aa732c7296722ebee1a27b19a3f"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae7c14aa732c7296722ebee1a27b19a3f">&#9670;&nbsp;</a></span>PAILLIER_ADD()</h2>
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<td class="memname">void PAILLIER_ADD </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structPAILLIER__public__key.html">PAILLIER_public_key</a> *&#160;</td>
<td class="paramname"><em>PUB</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structoctet.html">octet</a> *&#160;</td>
<td class="paramname"><em>CT1</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structoctet.html">octet</a> *&#160;</td>
<td class="paramname"><em>CT2</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structoctet.html">octet</a> *&#160;</td>
<td class="paramname"><em>CT</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>\( E(m1+m2) = E(m1)*E(m2) \)</p>
<ol>
<li>
\( ct = ct1*ct2 \pmod{n^2} \) </li>
</ol>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">PUB</td><td>Public key </td></tr>
<tr><td class="paramname">CT1</td><td>Ciphertext one </td></tr>
<tr><td class="paramname">CT2</td><td>Ciphertext two </td></tr>
<tr><td class="paramname">CT</td><td>Ciphertext </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Returns 0 or else error code </dd></dl>
</div>
</div>
<a id="afdfd329c0c2296587f4ad31b726c46a9"></a>
<h2 class="memtitle"><span class="permalink"><a href="#afdfd329c0c2296587f4ad31b726c46a9">&#9670;&nbsp;</a></span>PAILLIER_DECRYPT()</h2>
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<td class="memname">void PAILLIER_DECRYPT </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structPAILLIER__private__key.html">PAILLIER_private_key</a> *&#160;</td>
<td class="paramname"><em>PRIV</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structoctet.html">octet</a> *&#160;</td>
<td class="paramname"><em>CT</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structoctet.html">octet</a> *&#160;</td>
<td class="paramname"><em>PT</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
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<p>These are the decryption steps modulo n. The computations are carried out modulo p and q and combined using the CRT.</p>
<ol>
<li>
\( ctl = ct^l \pmod{n^2} - 1 \) </li>
<li>
\( ctln = ctl / n \) </li>
<li>
\( pt = ctln * m \pmod{n} \) </li>
</ol>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">PRIV</td><td>Private key </td></tr>
<tr><td class="paramname">CT</td><td>Ciphertext </td></tr>
<tr><td class="paramname">PT</td><td>Plaintext </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a637d7102d00ab63a898b34fb21c835d3"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a637d7102d00ab63a898b34fb21c835d3">&#9670;&nbsp;</a></span>PAILLIER_ENCRYPT()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">void PAILLIER_ENCRYPT </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structcsprng.html">csprng</a> *&#160;</td>
<td class="paramname"><em>RNG</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structPAILLIER__public__key.html">PAILLIER_public_key</a> *&#160;</td>
<td class="paramname"><em>PUB</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structoctet.html">octet</a> *&#160;</td>
<td class="paramname"><em>PT</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structoctet.html">octet</a> *&#160;</td>
<td class="paramname"><em>CT</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structoctet.html">octet</a> *&#160;</td>
<td class="paramname"><em>R</em>&#160;</td>
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<td></td>
<td>)</td>
<td></td><td></td>
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<p>These are the encryption steps.</p>
<ol>
<li>
\( m &lt; n \) </li>
<li>
\( r &lt; n \) </li>
<li>
\( c = g^m.r^n\pmod{n^2} \) </li>
</ol>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">RNG</td><td>Pointer to a cryptographically secure random number generator </td></tr>
<tr><td class="paramname">PUB</td><td>Public key </td></tr>
<tr><td class="paramname">PT</td><td>Plaintext </td></tr>
<tr><td class="paramname">CT</td><td>Ciphertext </td></tr>
<tr><td class="paramname">R</td><td>R value for testing. If RNG is NULL then this value is read. </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="af2c7ba1d7f74ba21e17b54463a3bb7a8"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af2c7ba1d7f74ba21e17b54463a3bb7a8">&#9670;&nbsp;</a></span>PAILLIER_KEY_PAIR()</h2>
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<td class="memname">void PAILLIER_KEY_PAIR </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structcsprng.html">csprng</a> *&#160;</td>
<td class="paramname"><em>RNG</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structoctet.html">octet</a> *&#160;</td>
<td class="paramname"><em>P</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structoctet.html">octet</a> *&#160;</td>
<td class="paramname"><em>Q</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structPAILLIER__public__key.html">PAILLIER_public_key</a> *&#160;</td>
<td class="paramname"><em>PUB</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structPAILLIER__private__key.html">PAILLIER_private_key</a> *&#160;</td>
<td class="paramname"><em>PRIV</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Pick large prime numbers of the same size \( p \) and \( q \)</p>
<ol>
<li>
\( n = pq \) </li>
<li>
\( g = n + 1 \) </li>
<li>
\( l = (p-1)(q-1) \) </li>
<li>
\( m = l^{-1} \pmod{n} \) </li>
</ol>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">RNG</td><td>Pointer to a cryptographically secure random number generator </td></tr>
<tr><td class="paramname">P</td><td>Prime number. If RNG is NULL then this value is read </td></tr>
<tr><td class="paramname">Q</td><td>Prime number. If RNG is NULL then this value is read </td></tr>
<tr><td class="paramname">PUB</td><td>Public key </td></tr>
<tr><td class="paramname">PRIV</td><td>Private key </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a3efdaed7b02dacdf319966f253f26d40"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a3efdaed7b02dacdf319966f253f26d40">&#9670;&nbsp;</a></span>PAILLIER_MULT()</h2>
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<td class="memname">void PAILLIER_MULT </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structPAILLIER__public__key.html">PAILLIER_public_key</a> *&#160;</td>
<td class="paramname"><em>PUB</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structoctet.html">octet</a> *&#160;</td>
<td class="paramname"><em>CT1</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structoctet.html">octet</a> *&#160;</td>
<td class="paramname"><em>PT</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structoctet.html">octet</a> *&#160;</td>
<td class="paramname"><em>CT</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>\( E(m1*m2) = E(m1)^{m2} \)</p>
<ol>
<li>
\( ct = ct1^{m2} \pmod{n^2} \) </li>
</ol>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">PUB</td><td>Public key </td></tr>
<tr><td class="paramname">CT1</td><td>Ciphertext one </td></tr>
<tr><td class="paramname">PT</td><td>Plaintext constant </td></tr>
<tr><td class="paramname">CT</td><td>Ciphertext </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a8910d02efcaa97d176c90f2e20496d1a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a8910d02efcaa97d176c90f2e20496d1a">&#9670;&nbsp;</a></span>PAILLIER_PK_fromOctet()</h2>
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<td class="memname">void PAILLIER_PK_fromOctet </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structPAILLIER__public__key.html">PAILLIER_public_key</a> *&#160;</td>
<td class="paramname"><em>PUB</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structoctet.html">octet</a> *&#160;</td>
<td class="paramname"><em>PK</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">PUB</td><td>Public key </td></tr>
<tr><td class="paramname">PK</td><td>Octet representation of the public key </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a7de192657d81c9a434ef9e17ead98c15"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a7de192657d81c9a434ef9e17ead98c15">&#9670;&nbsp;</a></span>PAILLIER_PK_toOctet()</h2>
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<td class="memname">void PAILLIER_PK_toOctet </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structoctet.html">octet</a> *&#160;</td>
<td class="paramname"><em>PK</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structPAILLIER__public__key.html">PAILLIER_public_key</a> *&#160;</td>
<td class="paramname"><em>PUB</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">PK</td><td>Destination octet </td></tr>
<tr><td class="paramname">PUB</td><td>Public key </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a4cf8d2d20dbdb35662bd000c42252ad9"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a4cf8d2d20dbdb35662bd000c42252ad9">&#9670;&nbsp;</a></span>PAILLIER_PRIVATE_KEY_KILL()</h2>
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<div class="memproto">
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<td class="memname">void PAILLIER_PRIVATE_KEY_KILL </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structPAILLIER__private__key.html">PAILLIER_private_key</a> *&#160;</td>
<td class="paramname"><em>PRIV</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">PRIV</td><td>Private key to clean </td></tr>
</table>
</dd>
</dl>
</div>
</div>
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