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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 <stdio.h></code><br /> |
| <code>#include <stdlib.h></code><br /> |
| <code>#include <string.h></code><br /> |
| <code>#include <time.h></code><br /> |
| <code>#include "<a class="el" href="ff__4096_8h_source.html">ff_4096.h</a>"</code><br /> |
| <code>#include "<a class="el" href="ff__2048_8h_source.html">ff_2048.h</a>"</code><br /> |
| </div> |
| <p><a href="paillier_8h_source.html">Go to the source code of this file.</a></p> |
| <table class="memberdecls"> |
| <tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="nested-classes"></a> |
| Data Structures</h2></td></tr> |
| <tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct  </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"> </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"> </td></tr> |
| <tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct  </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"> </td><td class="mdescRight">Paillier Private Key. <a href="structPAILLIER__private__key.html#details">More...</a><br /></td></tr> |
| <tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr> |
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| Macros</h2></td></tr> |
| <tr class="memitem:a8e7c673251fe80bcf47e9bb26674cd97"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="paillier_8h.html#a8e7c673251fe80bcf47e9bb26674cd97">FS_4096</a>   <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"> </td></tr> |
| <tr class="memitem:ae3ce9abc99cec679346a7d38bed96d9b"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="paillier_8h.html#ae3ce9abc99cec679346a7d38bed96d9b">FS_2048</a>   <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"> </td></tr> |
| <tr class="memitem:a1f681610ea37533def54ef7ef54ccb92"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="paillier_8h.html#a1f681610ea37533def54ef7ef54ccb92">HFS_4096</a>   <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"> </td></tr> |
| <tr class="memitem:af12daa3ccdbe8c973ca455b53f58f13b"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="paillier_8h.html#af12daa3ccdbe8c973ca455b53f58f13b">HFS_2048</a>   <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"> </td></tr> |
| </table><table class="memberdecls"> |
| <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 </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"> </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"> </td></tr> |
| <tr class="memitem:a4cf8d2d20dbdb35662bd000c42252ad9"><td class="memItemLeft" align="right" valign="top">void </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"> </td><td class="mdescRight">Clear private key. <a href="#a4cf8d2d20dbdb35662bd000c42252ad9">More...</a><br /></td></tr> |
| <tr class="separator:a4cf8d2d20dbdb35662bd000c42252ad9"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a637d7102d00ab63a898b34fb21c835d3"><td class="memItemLeft" align="right" valign="top">void </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"> </td><td class="mdescRight">Encrypt a plaintext. <a href="#a637d7102d00ab63a898b34fb21c835d3">More...</a><br /></td></tr> |
| <tr class="separator:a637d7102d00ab63a898b34fb21c835d3"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:afdfd329c0c2296587f4ad31b726c46a9"><td class="memItemLeft" align="right" valign="top">void </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"> </td><td class="mdescRight">Decrypt ciphertext. <a href="#afdfd329c0c2296587f4ad31b726c46a9">More...</a><br /></td></tr> |
| <tr class="separator:afdfd329c0c2296587f4ad31b726c46a9"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:ae7c14aa732c7296722ebee1a27b19a3f"><td class="memItemLeft" align="right" valign="top">void </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"> </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"> </td></tr> |
| <tr class="memitem:a3efdaed7b02dacdf319966f253f26d40"><td class="memItemLeft" align="right" valign="top">void </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"> </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"> </td></tr> |
| <tr class="memitem:a8910d02efcaa97d176c90f2e20496d1a"><td class="memItemLeft" align="right" valign="top">void </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"> </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"> </td></tr> |
| <tr class="memitem:a7de192657d81c9a434ef9e17ead98c15"><td class="memItemLeft" align="right" valign="top">void </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"> </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"> </td></tr> |
| </table> |
| <h2 class="groupheader">Macro Definition Documentation</h2> |
| <a id="ae3ce9abc99cec679346a7d38bed96d9b"></a> |
| <h2 class="memtitle"><span class="permalink"><a href="#ae3ce9abc99cec679346a7d38bed96d9b">◆ </a></span>FS_2048</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">#define FS_2048   <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">◆ </a></span>FS_4096</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">#define FS_4096   <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">◆ </a></span>HFS_2048</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">#define HFS_2048   <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">◆ </a></span>HFS_4096</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">#define HFS_4096   <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">◆ </a></span>PAILLIER_ADD()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void PAILLIER_ADD </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structPAILLIER__public__key.html">PAILLIER_public_key</a> * </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> * </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> * </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> * </td> |
| <td class="paramname"><em>CT</em> </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">◆ </a></span>PAILLIER_DECRYPT()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void PAILLIER_DECRYPT </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structPAILLIER__private__key.html">PAILLIER_private_key</a> * </td> |
| <td class="paramname"><em>PRIV</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype"><a class="el" href="structoctet.html">octet</a> * </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> * </td> |
| <td class="paramname"><em>PT</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <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">◆ </a></span>PAILLIER_ENCRYPT()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void PAILLIER_ENCRYPT </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structcsprng.html">csprng</a> * </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> * </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> * </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> * </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> * </td> |
| <td class="paramname"><em>R</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <p>These are the encryption steps.</p> |
| <ol> |
| <li> |
| \( m < n \) </li> |
| <li> |
| \( r < n \) </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">◆ </a></span>PAILLIER_KEY_PAIR()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void PAILLIER_KEY_PAIR </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structcsprng.html">csprng</a> * </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> * </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> * </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> * </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> * </td> |
| <td class="paramname"><em>PRIV</em> </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">◆ </a></span>PAILLIER_MULT()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void PAILLIER_MULT </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structPAILLIER__public__key.html">PAILLIER_public_key</a> * </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> * </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> * </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> * </td> |
| <td class="paramname"><em>CT</em> </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">◆ </a></span>PAILLIER_PK_fromOctet()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <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> * </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> * </td> |
| <td class="paramname"><em>PK</em> </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">◆ </a></span>PAILLIER_PK_toOctet()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">void PAILLIER_PK_toOctet </td> |
| <td>(</td> |
| <td class="paramtype"><a class="el" href="structoctet.html">octet</a> * </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> * </td> |
| <td class="paramname"><em>PUB</em> </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">◆ </a></span>PAILLIER_PRIVATE_KEY_KILL()</h2> |
| |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <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> * </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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