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<a href="#define-members">Macros</a> &#124;
<a href="#func-members">Functions</a> </div>
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<div class="title">mpin_BN254.h File Reference</div> </div>
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<p>M-Pin Header file.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &quot;<a class="el" href="pair__BN254_8h_source.html">pair_BN254.h</a>&quot;</code><br />
<code>#include &quot;<a class="el" href="pbc__support_8h_source.html">pbc_support.h</a>&quot;</code><br />
</div>
<p><a href="mpin__BN254_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="define-members"></a>
Macros</h2></td></tr>
<tr class="memitem:a02bf6ad57095ecf70327ed23e03742f2"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin__BN254_8h.html#a02bf6ad57095ecf70327ed23e03742f2">PGS_BN254</a>&#160;&#160;&#160;<a class="el" href="config__big__256__56_8h.html#ab45850a8aedd0d0a0a7c5f2cc09aba9e">MODBYTES_256_56</a></td></tr>
<tr class="separator:a02bf6ad57095ecf70327ed23e03742f2"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a86401e2276d7cedac55ea829cd92a072"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin__BN254_8h.html#a86401e2276d7cedac55ea829cd92a072">PFS_BN254</a>&#160;&#160;&#160;<a class="el" href="config__big__256__56_8h.html#ab45850a8aedd0d0a0a7c5f2cc09aba9e">MODBYTES_256_56</a></td></tr>
<tr class="separator:a86401e2276d7cedac55ea829cd92a072"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a5bdbc339b8d614c9c4912a6b6040f4ec"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin__BN254_8h.html#a5bdbc339b8d614c9c4912a6b6040f4ec">MPIN_OK</a>&#160;&#160;&#160;0</td></tr>
<tr class="separator:a5bdbc339b8d614c9c4912a6b6040f4ec"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a1735b73fd12586e70fc971c85e088ffc"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin__BN254_8h.html#a1735b73fd12586e70fc971c85e088ffc">MPIN_INVALID_POINT</a>&#160;&#160;&#160;-14</td></tr>
<tr class="separator:a1735b73fd12586e70fc971c85e088ffc"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad558e3e4522f6846ba98a0d3820faebd"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin__BN254_8h.html#ad558e3e4522f6846ba98a0d3820faebd">MPIN_BAD_PIN</a>&#160;&#160;&#160;-19</td></tr>
<tr class="separator:ad558e3e4522f6846ba98a0d3820faebd"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0497a29b4ff3af7cecba9ea4140af442"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin__BN254_8h.html#a0497a29b4ff3af7cecba9ea4140af442">MPIN_PAS</a>&#160;&#160;&#160;16</td></tr>
<tr class="separator:a0497a29b4ff3af7cecba9ea4140af442"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a15c5084bd08109c7edebf50db273e494"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin__BN254_8h.html#a15c5084bd08109c7edebf50db273e494">MAXPIN</a>&#160;&#160;&#160;10000</td></tr>
<tr class="separator:a15c5084bd08109c7edebf50db273e494"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a1bc47461f3417c96da72488c6030447e"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin__BN254_8h.html#a1bc47461f3417c96da72488c6030447e">PBLEN</a>&#160;&#160;&#160;14</td></tr>
<tr class="separator:a1bc47461f3417c96da72488c6030447e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aeca90e1c1c62b70670514ffc18c9dfd4"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin__BN254_8h.html#aeca90e1c1c62b70670514ffc18c9dfd4">MESSAGE_SIZE</a>&#160;&#160;&#160;256</td></tr>
<tr class="separator:aeca90e1c1c62b70670514ffc18c9dfd4"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a516007914ae806a229d6970045ba92cb"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin__BN254_8h.html#a516007914ae806a229d6970045ba92cb">M_SIZE_BN254</a>&#160;&#160;&#160;(<a class="el" href="mpin__FP512BN_8h.html#aeca90e1c1c62b70670514ffc18c9dfd4">MESSAGE_SIZE</a>+2*<a class="el" href="mpin__BN254_8h.html#a86401e2276d7cedac55ea829cd92a072">PFS_BN254</a>+1)</td></tr>
<tr class="separator:a516007914ae806a229d6970045ba92cb"><td class="memSeparator" colspan="2">&#160;</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:a8669a3640c6af84f0bf85ac759fc20cd"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin__BN254_8h.html#a8669a3640c6af84f0bf85ac759fc20cd">MPIN_BN254_GET_Y</a> (int h, int t, <a class="el" href="structoctet.html">octet</a> *O, <a class="el" href="structoctet.html">octet</a> *Y)</td></tr>
<tr class="memdesc:a8669a3640c6af84f0bf85ac759fc20cd"><td class="mdescLeft">&#160;</td><td class="mdescRight">Generate Y=H(s,O), where s is epoch time, O is an octet, and H(.) is a hash function. <a href="#a8669a3640c6af84f0bf85ac759fc20cd">More...</a><br /></td></tr>
<tr class="separator:a8669a3640c6af84f0bf85ac759fc20cd"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae4d0330cf9d4cdec9259b5485a8278a0"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin__BN254_8h.html#ae4d0330cf9d4cdec9259b5485a8278a0">MPIN_BN254_EXTRACT_FACTOR</a> (int h, <a class="el" href="structoctet.html">octet</a> *ID, int factor, int facbits, <a class="el" href="structoctet.html">octet</a> *CS)</td></tr>
<tr class="memdesc:ae4d0330cf9d4cdec9259b5485a8278a0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Extract a PIN number from a client secret. <a href="#ae4d0330cf9d4cdec9259b5485a8278a0">More...</a><br /></td></tr>
<tr class="separator:ae4d0330cf9d4cdec9259b5485a8278a0"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a385346b312b16a4d86ad9aa581986c60"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin__BN254_8h.html#a385346b312b16a4d86ad9aa581986c60">MPIN_BN254_RESTORE_FACTOR</a> (int h, <a class="el" href="structoctet.html">octet</a> *ID, int factor, int facbits, <a class="el" href="structoctet.html">octet</a> *CS)</td></tr>
<tr class="memdesc:a385346b312b16a4d86ad9aa581986c60"><td class="mdescLeft">&#160;</td><td class="mdescRight">Extract a PIN number from a client secret. <a href="#a385346b312b16a4d86ad9aa581986c60">More...</a><br /></td></tr>
<tr class="separator:a385346b312b16a4d86ad9aa581986c60"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a34496828cd1e425701cd11ccf8c74ee7"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin__BN254_8h.html#a34496828cd1e425701cd11ccf8c74ee7">MPIN_BN254_EXTRACT_PIN</a> (int h, <a class="el" href="structoctet.html">octet</a> *ID, int pin, <a class="el" href="structoctet.html">octet</a> *CS)</td></tr>
<tr class="memdesc:a34496828cd1e425701cd11ccf8c74ee7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Extract a PIN number from a client secret. <a href="#a34496828cd1e425701cd11ccf8c74ee7">More...</a><br /></td></tr>
<tr class="separator:a34496828cd1e425701cd11ccf8c74ee7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac41203e4e28c4ad919bed4211a4cd7be"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin__BN254_8h.html#ac41203e4e28c4ad919bed4211a4cd7be">MPIN_BN254_CLIENT</a> (int h, int d, <a class="el" href="structoctet.html">octet</a> *ID, <a class="el" href="structcsprng.html">csprng</a> *R, <a class="el" href="structoctet.html">octet</a> *x, int pin, <a class="el" href="structoctet.html">octet</a> *T, <a class="el" href="structoctet.html">octet</a> *V, <a class="el" href="structoctet.html">octet</a> *U, <a class="el" href="structoctet.html">octet</a> *UT, <a class="el" href="structoctet.html">octet</a> *TP, <a class="el" href="structoctet.html">octet</a> *MESSAGE, int t, <a class="el" href="structoctet.html">octet</a> *y)</td></tr>
<tr class="memdesc:ac41203e4e28c4ad919bed4211a4cd7be"><td class="mdescLeft">&#160;</td><td class="mdescRight">Perform client side of the one-pass version of the M-Pin protocol. <a href="#ac41203e4e28c4ad919bed4211a4cd7be">More...</a><br /></td></tr>
<tr class="separator:ac41203e4e28c4ad919bed4211a4cd7be"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a35ea3dea36e8314ba3a1206652b7b497"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin__BN254_8h.html#a35ea3dea36e8314ba3a1206652b7b497">MPIN_BN254_CLIENT_1</a> (int h, int d, <a class="el" href="structoctet.html">octet</a> *ID, <a class="el" href="structcsprng.html">csprng</a> *R, <a class="el" href="structoctet.html">octet</a> *x, int pin, <a class="el" href="structoctet.html">octet</a> *T, <a class="el" href="structoctet.html">octet</a> *S, <a class="el" href="structoctet.html">octet</a> *U, <a class="el" href="structoctet.html">octet</a> *UT, <a class="el" href="structoctet.html">octet</a> *TP)</td></tr>
<tr class="memdesc:a35ea3dea36e8314ba3a1206652b7b497"><td class="mdescLeft">&#160;</td><td class="mdescRight">Perform first pass of the client side of the 3-pass version of the M-Pin protocol. <a href="#a35ea3dea36e8314ba3a1206652b7b497">More...</a><br /></td></tr>
<tr class="separator:a35ea3dea36e8314ba3a1206652b7b497"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8a9e98cb69e6e420dc2e1f8326173c1a"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin__BN254_8h.html#a8a9e98cb69e6e420dc2e1f8326173c1a">MPIN_BN254_RANDOM_GENERATE</a> (<a class="el" href="structcsprng.html">csprng</a> *R, <a class="el" href="structoctet.html">octet</a> *S)</td></tr>
<tr class="memdesc:a8a9e98cb69e6e420dc2e1f8326173c1a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Generate a random group element. <a href="#a8a9e98cb69e6e420dc2e1f8326173c1a">More...</a><br /></td></tr>
<tr class="separator:a8a9e98cb69e6e420dc2e1f8326173c1a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ada137965507a1a9194ae4eaa5aeebf75"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin__BN254_8h.html#ada137965507a1a9194ae4eaa5aeebf75">MPIN_BN254_CLIENT_2</a> (<a class="el" href="structoctet.html">octet</a> *x, <a class="el" href="structoctet.html">octet</a> *y, <a class="el" href="structoctet.html">octet</a> *V)</td></tr>
<tr class="memdesc:ada137965507a1a9194ae4eaa5aeebf75"><td class="mdescLeft">&#160;</td><td class="mdescRight">Perform second pass of the client side of the 3-pass version of the M-Pin protocol. <a href="#ada137965507a1a9194ae4eaa5aeebf75">More...</a><br /></td></tr>
<tr class="separator:ada137965507a1a9194ae4eaa5aeebf75"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7b1239bd2a451f8ae7e77aadafb8cfac"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin__BN254_8h.html#a7b1239bd2a451f8ae7e77aadafb8cfac">MPIN_BN254_SERVER</a> (int h, int d, <a class="el" href="structoctet.html">octet</a> *HID, <a class="el" href="structoctet.html">octet</a> *HTID, <a class="el" href="structoctet.html">octet</a> *y, <a class="el" href="structoctet.html">octet</a> *SS, <a class="el" href="structoctet.html">octet</a> *U, <a class="el" href="structoctet.html">octet</a> *UT, <a class="el" href="structoctet.html">octet</a> *V, <a class="el" href="structoctet.html">octet</a> *E, <a class="el" href="structoctet.html">octet</a> *F, <a class="el" href="structoctet.html">octet</a> *ID, <a class="el" href="structoctet.html">octet</a> *MESSAGE, int t, <a class="el" href="structoctet.html">octet</a> *Pa)</td></tr>
<tr class="memdesc:a7b1239bd2a451f8ae7e77aadafb8cfac"><td class="mdescLeft">&#160;</td><td class="mdescRight">Perform server side of the one-pass version of the M-Pin protocol. <a href="#a7b1239bd2a451f8ae7e77aadafb8cfac">More...</a><br /></td></tr>
<tr class="separator:a7b1239bd2a451f8ae7e77aadafb8cfac"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a6ccfca6fddbdd74822723c3512e78c02"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin__BN254_8h.html#a6ccfca6fddbdd74822723c3512e78c02">MPIN_BN254_SERVER_1</a> (int h, int d, <a class="el" href="structoctet.html">octet</a> *ID, <a class="el" href="structoctet.html">octet</a> *HID, <a class="el" href="structoctet.html">octet</a> *HTID)</td></tr>
<tr class="memdesc:a6ccfca6fddbdd74822723c3512e78c02"><td class="mdescLeft">&#160;</td><td class="mdescRight">Perform first pass of the server side of the 3-pass version of the M-Pin protocol. <a href="#a6ccfca6fddbdd74822723c3512e78c02">More...</a><br /></td></tr>
<tr class="separator:a6ccfca6fddbdd74822723c3512e78c02"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a2bc98b01681673bd6e48f35180747517"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin__BN254_8h.html#a2bc98b01681673bd6e48f35180747517">MPIN_BN254_SERVER_2</a> (int d, <a class="el" href="structoctet.html">octet</a> *HID, <a class="el" href="structoctet.html">octet</a> *HTID, <a class="el" href="structoctet.html">octet</a> *y, <a class="el" href="structoctet.html">octet</a> *SS, <a class="el" href="structoctet.html">octet</a> *U, <a class="el" href="structoctet.html">octet</a> *UT, <a class="el" href="structoctet.html">octet</a> *V, <a class="el" href="structoctet.html">octet</a> *E, <a class="el" href="structoctet.html">octet</a> *F, <a class="el" href="structoctet.html">octet</a> *Pa)</td></tr>
<tr class="memdesc:a2bc98b01681673bd6e48f35180747517"><td class="mdescLeft">&#160;</td><td class="mdescRight">Perform third pass on the server side of the 3-pass version of the M-Pin protocol. <a href="#a2bc98b01681673bd6e48f35180747517">More...</a><br /></td></tr>
<tr class="separator:a2bc98b01681673bd6e48f35180747517"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a59f98c9869e9a47acb53d3a049090869"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin__BN254_8h.html#a59f98c9869e9a47acb53d3a049090869">MPIN_BN254_RECOMBINE_G1</a> (<a class="el" href="structoctet.html">octet</a> *Q1, <a class="el" href="structoctet.html">octet</a> *Q2, <a class="el" href="structoctet.html">octet</a> *Q)</td></tr>
<tr class="memdesc:a59f98c9869e9a47acb53d3a049090869"><td class="mdescLeft">&#160;</td><td class="mdescRight">Add two members from the group G1. <a href="#a59f98c9869e9a47acb53d3a049090869">More...</a><br /></td></tr>
<tr class="separator:a59f98c9869e9a47acb53d3a049090869"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a24da4cacf1d1df827b47a0a19739f313"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin__BN254_8h.html#a24da4cacf1d1df827b47a0a19739f313">MPIN_BN254_RECOMBINE_G2</a> (<a class="el" href="structoctet.html">octet</a> *P1, <a class="el" href="structoctet.html">octet</a> *P2, <a class="el" href="structoctet.html">octet</a> *P)</td></tr>
<tr class="memdesc:a24da4cacf1d1df827b47a0a19739f313"><td class="mdescLeft">&#160;</td><td class="mdescRight">Add two members from the group G2. <a href="#a24da4cacf1d1df827b47a0a19739f313">More...</a><br /></td></tr>
<tr class="separator:a24da4cacf1d1df827b47a0a19739f313"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:acb32bb93ddf7643f42b307807789580e"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin__BN254_8h.html#acb32bb93ddf7643f42b307807789580e">MPIN_BN254_KANGAROO</a> (<a class="el" href="structoctet.html">octet</a> *E, <a class="el" href="structoctet.html">octet</a> *F)</td></tr>
<tr class="memdesc:acb32bb93ddf7643f42b307807789580e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Use Kangaroos to find PIN error. <a href="#acb32bb93ddf7643f42b307807789580e">More...</a><br /></td></tr>
<tr class="separator:acb32bb93ddf7643f42b307807789580e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a9aad97ce00ee98d3f7ae95d523854bcd"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin__BN254_8h.html#a9aad97ce00ee98d3f7ae95d523854bcd">MPIN_BN254_ENCODING</a> (<a class="el" href="structcsprng.html">csprng</a> *R, <a class="el" href="structoctet.html">octet</a> *TP)</td></tr>
<tr class="memdesc:a9aad97ce00ee98d3f7ae95d523854bcd"><td class="mdescLeft">&#160;</td><td class="mdescRight">Encoding of a Time Permit to make it indistinguishable from a random string. <a href="#a9aad97ce00ee98d3f7ae95d523854bcd">More...</a><br /></td></tr>
<tr class="separator:a9aad97ce00ee98d3f7ae95d523854bcd"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8993cb4d2ce5d2bad086e69997d99fb4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin__BN254_8h.html#a8993cb4d2ce5d2bad086e69997d99fb4">MPIN_BN254_DECODING</a> (<a class="el" href="structoctet.html">octet</a> *TP)</td></tr>
<tr class="memdesc:a8993cb4d2ce5d2bad086e69997d99fb4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Encoding of an obfuscated Time Permit. <a href="#a8993cb4d2ce5d2bad086e69997d99fb4">More...</a><br /></td></tr>
<tr class="separator:a8993cb4d2ce5d2bad086e69997d99fb4"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a82d47dbef8b5460f610ddbf9040e7fbc"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin__BN254_8h.html#a82d47dbef8b5460f610ddbf9040e7fbc">MPIN_BN254_GET_G1_MULTIPLE</a> (<a class="el" href="structcsprng.html">csprng</a> *R, int type, <a class="el" href="structoctet.html">octet</a> *x, <a class="el" href="structoctet.html">octet</a> *G, <a class="el" href="structoctet.html">octet</a> *W)</td></tr>
<tr class="memdesc:a82d47dbef8b5460f610ddbf9040e7fbc"><td class="mdescLeft">&#160;</td><td class="mdescRight">Find a random multiple of a point in G1. <a href="#a82d47dbef8b5460f610ddbf9040e7fbc">More...</a><br /></td></tr>
<tr class="separator:a82d47dbef8b5460f610ddbf9040e7fbc"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a93013a0ebddf81fb3473147c773286b7"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin__BN254_8h.html#a93013a0ebddf81fb3473147c773286b7">MPIN_BN254_GET_G2_MULTIPLE</a> (<a class="el" href="structcsprng.html">csprng</a> *R, int type, <a class="el" href="structoctet.html">octet</a> *x, <a class="el" href="structoctet.html">octet</a> *G, <a class="el" href="structoctet.html">octet</a> *W)</td></tr>
<tr class="memdesc:a93013a0ebddf81fb3473147c773286b7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Find a random multiple of a point in G1. <a href="#a93013a0ebddf81fb3473147c773286b7">More...</a><br /></td></tr>
<tr class="separator:a93013a0ebddf81fb3473147c773286b7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a13db61b5b1ad0f509f4891ed7b2ec9c9"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin__BN254_8h.html#a13db61b5b1ad0f509f4891ed7b2ec9c9">MPIN_BN254_GET_CLIENT_SECRET</a> (<a class="el" href="structoctet.html">octet</a> *S, <a class="el" href="structoctet.html">octet</a> *ID, <a class="el" href="structoctet.html">octet</a> *CS)</td></tr>
<tr class="memdesc:a13db61b5b1ad0f509f4891ed7b2ec9c9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Create a client secret in G1 from a master secret and the client ID. <a href="#a13db61b5b1ad0f509f4891ed7b2ec9c9">More...</a><br /></td></tr>
<tr class="separator:a13db61b5b1ad0f509f4891ed7b2ec9c9"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a74cae5ee53217b7c112f434313955de5"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin__BN254_8h.html#a74cae5ee53217b7c112f434313955de5">MPIN_BN254_GET_CLIENT_PERMIT</a> (int h, int d, <a class="el" href="structoctet.html">octet</a> *S, <a class="el" href="structoctet.html">octet</a> *ID, <a class="el" href="structoctet.html">octet</a> *TP)</td></tr>
<tr class="memdesc:a74cae5ee53217b7c112f434313955de5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Create a Time Permit in G1 from a master secret and the client ID. <a href="#a74cae5ee53217b7c112f434313955de5">More...</a><br /></td></tr>
<tr class="separator:a74cae5ee53217b7c112f434313955de5"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a410973ba2f5efbae544280b24d40eb75"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin__BN254_8h.html#a410973ba2f5efbae544280b24d40eb75">MPIN_BN254_GET_SERVER_SECRET</a> (<a class="el" href="structoctet.html">octet</a> *S, <a class="el" href="structoctet.html">octet</a> *SS)</td></tr>
<tr class="memdesc:a410973ba2f5efbae544280b24d40eb75"><td class="mdescLeft">&#160;</td><td class="mdescRight">Create a server secret in G2 from a master secret. <a href="#a410973ba2f5efbae544280b24d40eb75">More...</a><br /></td></tr>
<tr class="separator:a410973ba2f5efbae544280b24d40eb75"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a4dedc7c8f64abef3408dc30a46194163"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin__BN254_8h.html#a4dedc7c8f64abef3408dc30a46194163">MPIN_BN254_PRECOMPUTE</a> (<a class="el" href="structoctet.html">octet</a> *T, <a class="el" href="structoctet.html">octet</a> *ID, <a class="el" href="structoctet.html">octet</a> *CP, <a class="el" href="structoctet.html">octet</a> *g1, <a class="el" href="structoctet.html">octet</a> *g2)</td></tr>
<tr class="memdesc:a4dedc7c8f64abef3408dc30a46194163"><td class="mdescLeft">&#160;</td><td class="mdescRight">Precompute values for use by the client side of M-Pin Full. <a href="#a4dedc7c8f64abef3408dc30a46194163">More...</a><br /></td></tr>
<tr class="separator:a4dedc7c8f64abef3408dc30a46194163"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7dceae71682494682bc9301be3557f9f"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin__BN254_8h.html#a7dceae71682494682bc9301be3557f9f">MPIN_BN254_SERVER_KEY</a> (int h, <a class="el" href="structoctet.html">octet</a> *Z, <a class="el" href="structoctet.html">octet</a> *SS, <a class="el" href="structoctet.html">octet</a> *w, <a class="el" href="structoctet.html">octet</a> *p, <a class="el" href="structoctet.html">octet</a> *I, <a class="el" href="structoctet.html">octet</a> *U, <a class="el" href="structoctet.html">octet</a> *UT, <a class="el" href="structoctet.html">octet</a> *K)</td></tr>
<tr class="memdesc:a7dceae71682494682bc9301be3557f9f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate Key on Server side for M-Pin Full. <a href="#a7dceae71682494682bc9301be3557f9f">More...</a><br /></td></tr>
<tr class="separator:a7dceae71682494682bc9301be3557f9f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a1e355a305fc3479bf628db14c10e2e63"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin__BN254_8h.html#a1e355a305fc3479bf628db14c10e2e63">MPIN_BN254_CLIENT_KEY</a> (int h, <a class="el" href="structoctet.html">octet</a> *g1, <a class="el" href="structoctet.html">octet</a> *g2, int pin, <a class="el" href="structoctet.html">octet</a> *r, <a class="el" href="structoctet.html">octet</a> *x, <a class="el" href="structoctet.html">octet</a> *p, <a class="el" href="structoctet.html">octet</a> *T, <a class="el" href="structoctet.html">octet</a> *K)</td></tr>
<tr class="memdesc:a1e355a305fc3479bf628db14c10e2e63"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate Key on Client side for M-Pin Full. <a href="#a1e355a305fc3479bf628db14c10e2e63">More...</a><br /></td></tr>
<tr class="separator:a1e355a305fc3479bf628db14c10e2e63"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae555438a6cbb507418e96540e6250d52"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin__BN254_8h.html#ae555438a6cbb507418e96540e6250d52">MPIN_BN254_GET_DVS_KEYPAIR</a> (<a class="el" href="structcsprng.html">csprng</a> *R, <a class="el" href="structoctet.html">octet</a> *Z, <a class="el" href="structoctet.html">octet</a> *Pa)</td></tr>
<tr class="memdesc:ae555438a6cbb507418e96540e6250d52"><td class="mdescLeft">&#160;</td><td class="mdescRight">Generates a random public key for the client z.Q. <a href="#ae555438a6cbb507418e96540e6250d52">More...</a><br /></td></tr>
<tr class="separator:ae555438a6cbb507418e96540e6250d52"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><dl class="section author"><dt>Author</dt><dd>Mike Scott </dd></dl>
</div><h2 class="groupheader">Macro Definition Documentation</h2>
<a id="a516007914ae806a229d6970045ba92cb"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a516007914ae806a229d6970045ba92cb">&#9670;&nbsp;</a></span>M_SIZE_BN254</h2>
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<td class="memname">#define M_SIZE_BN254&#160;&#160;&#160;(<a class="el" href="mpin__FP512BN_8h.html#aeca90e1c1c62b70670514ffc18c9dfd4">MESSAGE_SIZE</a>+2*<a class="el" href="mpin__BN254_8h.html#a86401e2276d7cedac55ea829cd92a072">PFS_BN254</a>+1)</td>
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</table>
</div><div class="memdoc">
<p>Signature message size and G1 size </p>
</div>
</div>
<a id="a15c5084bd08109c7edebf50db273e494"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a15c5084bd08109c7edebf50db273e494">&#9670;&nbsp;</a></span>MAXPIN</h2>
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<td class="memname">#define MAXPIN&#160;&#160;&#160;10000</td>
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<p>max PIN </p>
</div>
</div>
<a id="aeca90e1c1c62b70670514ffc18c9dfd4"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aeca90e1c1c62b70670514ffc18c9dfd4">&#9670;&nbsp;</a></span>MESSAGE_SIZE</h2>
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<td class="memname">#define MESSAGE_SIZE&#160;&#160;&#160;256</td>
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<p>Signature message size </p>
</div>
</div>
<a id="ad558e3e4522f6846ba98a0d3820faebd"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ad558e3e4522f6846ba98a0d3820faebd">&#9670;&nbsp;</a></span>MPIN_BAD_PIN</h2>
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<td class="memname">#define MPIN_BAD_PIN&#160;&#160;&#160;-19</td>
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<p>Bad PIN number entered </p>
</div>
</div>
<a id="a1735b73fd12586e70fc971c85e088ffc"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a1735b73fd12586e70fc971c85e088ffc">&#9670;&nbsp;</a></span>MPIN_INVALID_POINT</h2>
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<td class="memname">#define MPIN_INVALID_POINT&#160;&#160;&#160;-14</td>
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<p>Point is NOT on the curve </p>
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<a id="a5bdbc339b8d614c9c4912a6b6040f4ec"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a5bdbc339b8d614c9c4912a6b6040f4ec">&#9670;&nbsp;</a></span>MPIN_OK</h2>
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<td class="memname">#define MPIN_OK&#160;&#160;&#160;0</td>
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</table>
</div><div class="memdoc">
<p>Function completed without error </p>
</div>
</div>
<a id="a0497a29b4ff3af7cecba9ea4140af442"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a0497a29b4ff3af7cecba9ea4140af442">&#9670;&nbsp;</a></span>MPIN_PAS</h2>
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<td class="memname">#define MPIN_PAS&#160;&#160;&#160;16</td>
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</div><div class="memdoc">
<p>MPIN Symmetric Key Size </p>
</div>
</div>
<a id="a1bc47461f3417c96da72488c6030447e"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a1bc47461f3417c96da72488c6030447e">&#9670;&nbsp;</a></span>PBLEN</h2>
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<td class="memname">#define PBLEN&#160;&#160;&#160;14</td>
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</table>
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<p>max length of PIN in bits </p>
</div>
</div>
<a id="a86401e2276d7cedac55ea829cd92a072"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a86401e2276d7cedac55ea829cd92a072">&#9670;&nbsp;</a></span>PFS_BN254</h2>
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<td class="memname">#define PFS_BN254&#160;&#160;&#160;<a class="el" href="config__big__256__56_8h.html#ab45850a8aedd0d0a0a7c5f2cc09aba9e">MODBYTES_256_56</a></td>
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<p>MPIN Field Size </p>
</div>
</div>
<a id="a02bf6ad57095ecf70327ed23e03742f2"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a02bf6ad57095ecf70327ed23e03742f2">&#9670;&nbsp;</a></span>PGS_BN254</h2>
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<td class="memname">#define PGS_BN254&#160;&#160;&#160;<a class="el" href="config__big__256__56_8h.html#ab45850a8aedd0d0a0a7c5f2cc09aba9e">MODBYTES_256_56</a></td>
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<p>MPIN Group Size </p>
</div>
</div>
<h2 class="groupheader">Function Documentation</h2>
<a id="ac41203e4e28c4ad919bed4211a4cd7be"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac41203e4e28c4ad919bed4211a4cd7be">&#9670;&nbsp;</a></span>MPIN_BN254_CLIENT()</h2>
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<td class="memname">int MPIN_BN254_CLIENT </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>h</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>d</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>ID</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structcsprng.html">csprng</a> *&#160;</td>
<td class="paramname"><em>R</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>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>pin</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>T</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>V</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>U</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>UT</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>TP</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>MESSAGE</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>t</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>y</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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<p>If Time Permits are disabled, set d = 0, and UT is not generated and can be set to NULL. If Time Permits are enabled, and PIN error detection is OFF, U is not generated and can be set to NULL. If Time Permits are enabled, and PIN error detection is ON, U and UT are both generated. </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">h</td><td>is the hash type </td></tr>
<tr><td class="paramname">d</td><td>is input date, in days since the epoch. Set to 0 if Time permits disabled </td></tr>
<tr><td class="paramname">ID</td><td>is the input client identity </td></tr>
<tr><td class="paramname">R</td><td>is a pointer to a cryptographically secure random number generator </td></tr>
<tr><td class="paramname">x</td><td>an output internally randomly generated if R!=NULL, otherwise must be provided as an input </td></tr>
<tr><td class="paramname">pin</td><td>is the input PIN number </td></tr>
<tr><td class="paramname">T</td><td>is the input M-Pin token (the client secret with PIN portion removed) </td></tr>
<tr><td class="paramname">V</td><td>is output = -(x+y)(CS+TP), where CS is the reconstructed client secret, and TP is the time permit </td></tr>
<tr><td class="paramname">U</td><td>is output = x.H(ID) </td></tr>
<tr><td class="paramname">UT</td><td>is output = x.(H(ID)+H(d|H(ID))) </td></tr>
<tr><td class="paramname">TP</td><td>is the input time permit </td></tr>
<tr><td class="paramname">MESSAGE</td><td>is the message to be signed </td></tr>
<tr><td class="paramname">t</td><td>is input epoch time in seconds - a timestamp </td></tr>
<tr><td class="paramname">y</td><td>is output H(t|U) or H(t|UT) if Time Permits enabled </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 or an error code </dd></dl>
</div>
</div>
<a id="a35ea3dea36e8314ba3a1206652b7b497"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a35ea3dea36e8314ba3a1206652b7b497">&#9670;&nbsp;</a></span>MPIN_BN254_CLIENT_1()</h2>
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<td class="memname">int MPIN_BN254_CLIENT_1 </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>h</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>d</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>ID</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structcsprng.html">csprng</a> *&#160;</td>
<td class="paramname"><em>R</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>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>pin</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>T</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>S</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>U</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>UT</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>TP</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>If Time Permits are disabled, set d = 0, and UT is not generated and can be set to NULL. If Time Permits are enabled, and PIN error detection is OFF, U is not generated and can be set to NULL. If Time Permits are enabled, and PIN error detection is ON, U and UT are both generated. </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">h</td><td>is the hash type </td></tr>
<tr><td class="paramname">d</td><td>is input date, in days since the epoch. Set to 0 if Time permits disabled </td></tr>
<tr><td class="paramname">ID</td><td>is the input client identity </td></tr>
<tr><td class="paramname">R</td><td>is a pointer to a cryptographically secure random number generator </td></tr>
<tr><td class="paramname">x</td><td>an output internally randomly generated if R!=NULL, otherwise must be provided as an input </td></tr>
<tr><td class="paramname">pin</td><td>is the input PIN number </td></tr>
<tr><td class="paramname">T</td><td>is the input M-Pin token (the client secret with PIN portion removed) </td></tr>
<tr><td class="paramname">S</td><td>is output = CS+TP, where CS=is the reconstructed client secret, and TP is the time permit </td></tr>
<tr><td class="paramname">U</td><td>is output = x.H(ID) </td></tr>
<tr><td class="paramname">UT</td><td>is output = x.(H(ID)+H(d|H(ID))) </td></tr>
<tr><td class="paramname">TP</td><td>is the input time permit </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 or an error code </dd></dl>
</div>
</div>
<a id="ada137965507a1a9194ae4eaa5aeebf75"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ada137965507a1a9194ae4eaa5aeebf75">&#9670;&nbsp;</a></span>MPIN_BN254_CLIENT_2()</h2>
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<td class="memname">int MPIN_BN254_CLIENT_2 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structoctet.html">octet</a> *&#160;</td>
<td class="paramname"><em>x</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>y</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>V</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">x</td><td>an input, a locally generated random number </td></tr>
<tr><td class="paramname">y</td><td>an input random challenge from the server </td></tr>
<tr><td class="paramname">V</td><td>on output = -(x+y).V </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 or an error code </dd></dl>
</div>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a1e355a305fc3479bf628db14c10e2e63">&#9670;&nbsp;</a></span>MPIN_BN254_CLIENT_KEY()</h2>
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<td class="memname">int MPIN_BN254_CLIENT_KEY </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>h</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>g1</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>g2</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>pin</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>, </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>x</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>T</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>K</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">h</td><td>is the hash type </td></tr>
<tr><td class="paramname">g1</td><td>precomputed input </td></tr>
<tr><td class="paramname">g2</td><td>precomputed input </td></tr>
<tr><td class="paramname">pin</td><td>is the input PIN number </td></tr>
<tr><td class="paramname">r</td><td>is an input, a locally generated random number </td></tr>
<tr><td class="paramname">x</td><td>is an input, a locally generated random number </td></tr>
<tr><td class="paramname">p</td><td>is an input, hash of the protocol transcript </td></tr>
<tr><td class="paramname">T</td><td>is the input Server-side Diffie-Hellman component </td></tr>
<tr><td class="paramname">K</td><td>is the output calculated shared key </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 or an error code </dd></dl>
</div>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a8993cb4d2ce5d2bad086e69997d99fb4">&#9670;&nbsp;</a></span>MPIN_BN254_DECODING()</h2>
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<td class="memname">int MPIN_BN254_DECODING </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structoctet.html">octet</a> *&#160;</td>
<td class="paramname"><em>TP</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">TP</td><td>is the input obfuscated time permit, restored on output </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 or an error code </dd></dl>
</div>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a9aad97ce00ee98d3f7ae95d523854bcd">&#9670;&nbsp;</a></span>MPIN_BN254_ENCODING()</h2>
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<td class="memname">int MPIN_BN254_ENCODING </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structcsprng.html">csprng</a> *&#160;</td>
<td class="paramname"><em>R</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>TP</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">R</td><td>is a pointer to a cryptographically secure random number generator </td></tr>
<tr><td class="paramname">TP</td><td>is the input time permit, obfuscated on output </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 or an error code </dd></dl>
</div>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#ae4d0330cf9d4cdec9259b5485a8278a0">&#9670;&nbsp;</a></span>MPIN_BN254_EXTRACT_FACTOR()</h2>
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<td class="memname">int MPIN_BN254_EXTRACT_FACTOR </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>h</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>ID</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>factor</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>facbits</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>CS</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">h</td><td>is the hash type </td></tr>
<tr><td class="paramname">ID</td><td>is the input client identity </td></tr>
<tr><td class="paramname">factor</td><td>is an input factor </td></tr>
<tr><td class="paramname">facbits</td><td>is the number of bits in the factor </td></tr>
<tr><td class="paramname">CS</td><td>is the client secret from which the factor is to be extracted </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 or an error code </dd></dl>
</div>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a34496828cd1e425701cd11ccf8c74ee7">&#9670;&nbsp;</a></span>MPIN_BN254_EXTRACT_PIN()</h2>
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<td class="memname">int MPIN_BN254_EXTRACT_PIN </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>h</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>ID</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>pin</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>CS</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">h</td><td>is the hash type </td></tr>
<tr><td class="paramname">ID</td><td>is the input client identity </td></tr>
<tr><td class="paramname">pin</td><td>is an input PIN number </td></tr>
<tr><td class="paramname">CS</td><td>is the client secret from which the PIN is to be extracted </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 or an error code </dd></dl>
</div>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a74cae5ee53217b7c112f434313955de5">&#9670;&nbsp;</a></span>MPIN_BN254_GET_CLIENT_PERMIT()</h2>
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<td class="memname">int MPIN_BN254_GET_CLIENT_PERMIT </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>h</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>d</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>S</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>ID</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>TP</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">h</td><td>is the hash type </td></tr>
<tr><td class="paramname">d</td><td>is input date, in days since the epoch. </td></tr>
<tr><td class="paramname">S</td><td>is an input master secret </td></tr>
<tr><td class="paramname">ID</td><td>is the input client identity </td></tr>
<tr><td class="paramname">TP</td><td>is a Time Permit for the given date = s.H(d|H(ID)) </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 or an error code </dd></dl>
</div>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a13db61b5b1ad0f509f4891ed7b2ec9c9">&#9670;&nbsp;</a></span>MPIN_BN254_GET_CLIENT_SECRET()</h2>
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<td class="memname">int MPIN_BN254_GET_CLIENT_SECRET </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structoctet.html">octet</a> *&#160;</td>
<td class="paramname"><em>S</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>ID</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>CS</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">S</td><td>is an input master secret </td></tr>
<tr><td class="paramname">ID</td><td>is the input client identity </td></tr>
<tr><td class="paramname">CS</td><td>is the full client secret = s.H(ID) </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 or an error code </dd></dl>
</div>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#ae555438a6cbb507418e96540e6250d52">&#9670;&nbsp;</a></span>MPIN_BN254_GET_DVS_KEYPAIR()</h2>
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<td class="memname">int MPIN_BN254_GET_DVS_KEYPAIR </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structcsprng.html">csprng</a> *&#160;</td>
<td class="paramname"><em>R</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>Z</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>Pa</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
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<pre class="fragment">@param R is a pointer to a cryptographically secure random number generator
@param Z an output internally randomly generated if R!=NULL, otherwise it must be provided as an input
@param Pa the output public key for the client
</pre>
</div>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a82d47dbef8b5460f610ddbf9040e7fbc">&#9670;&nbsp;</a></span>MPIN_BN254_GET_G1_MULTIPLE()</h2>
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<td class="memname">int MPIN_BN254_GET_G1_MULTIPLE </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structcsprng.html">csprng</a> *&#160;</td>
<td class="paramname"><em>R</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>type</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>x</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>G</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>W</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">R</td><td>is a pointer to a cryptographically secure random number generator </td></tr>
<tr><td class="paramname">type</td><td>determines type of action to be taken </td></tr>
<tr><td class="paramname">x</td><td>an output internally randomly generated if R!=NULL, otherwise must be provided as an input </td></tr>
<tr><td class="paramname">G</td><td>if type=0 a point in G1, else an octet to be mapped to G1 </td></tr>
<tr><td class="paramname">W</td><td>the output =x.G or x.M(G), where M(.) is a mapping </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 or an error code </dd></dl>
</div>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a93013a0ebddf81fb3473147c773286b7">&#9670;&nbsp;</a></span>MPIN_BN254_GET_G2_MULTIPLE()</h2>
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<td class="memname">int MPIN_BN254_GET_G2_MULTIPLE </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structcsprng.html">csprng</a> *&#160;</td>
<td class="paramname"><em>R</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>type</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>x</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>G</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>W</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">R</td><td>is a pointer to a cryptographically secure random number generator </td></tr>
<tr><td class="paramname">type</td><td>determines type of action to betaken </td></tr>
<tr><td class="paramname">x</td><td>an output internally randomly generated if R!=NULL, otherwise must be provided as an input </td></tr>
<tr><td class="paramname">G</td><td>a point in G2 </td></tr>
<tr><td class="paramname">W</td><td>the output =x.G or (1/x).G </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 or an error code </dd></dl>
</div>
</div>
<a id="a410973ba2f5efbae544280b24d40eb75"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a410973ba2f5efbae544280b24d40eb75">&#9670;&nbsp;</a></span>MPIN_BN254_GET_SERVER_SECRET()</h2>
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<td class="memname">int MPIN_BN254_GET_SERVER_SECRET </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structoctet.html">octet</a> *&#160;</td>
<td class="paramname"><em>S</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>SS</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">S</td><td>is an input master secret </td></tr>
<tr><td class="paramname">SS</td><td>is the server secret = s.Q where Q is a fixed generator of G2 </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 or an error code </dd></dl>
</div>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a8669a3640c6af84f0bf85ac759fc20cd">&#9670;&nbsp;</a></span>MPIN_BN254_GET_Y()</h2>
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<td class="memname">void MPIN_BN254_GET_Y </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>h</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>t</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>O</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>Y</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">h</td><td>is the hash type </td></tr>
<tr><td class="paramname">t</td><td>is epoch time in seconds </td></tr>
<tr><td class="paramname">O</td><td>is an input octet </td></tr>
<tr><td class="paramname">Y</td><td>is the output octet </td></tr>
</table>
</dd>
</dl>
</div>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#acb32bb93ddf7643f42b307807789580e">&#9670;&nbsp;</a></span>MPIN_BN254_KANGAROO()</h2>
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<td class="memname">int MPIN_BN254_KANGAROO </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structoctet.html">octet</a> *&#160;</td>
<td class="paramname"><em>E</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>F</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">E</td><td>a member of the group GT </td></tr>
<tr><td class="paramname">F</td><td>a member of the group GT = E^e </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 if Kangaroos failed, or the PIN error e </dd></dl>
</div>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a4dedc7c8f64abef3408dc30a46194163">&#9670;&nbsp;</a></span>MPIN_BN254_PRECOMPUTE()</h2>
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<td class="memname">int MPIN_BN254_PRECOMPUTE </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structoctet.html">octet</a> *&#160;</td>
<td class="paramname"><em>T</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>ID</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>CP</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>g1</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>g2</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
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<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">T</td><td>is the input M-Pin token (the client secret with PIN portion removed) </td></tr>
<tr><td class="paramname">ID</td><td>is the input client identity </td></tr>
<tr><td class="paramname">CP</td><td>is Public Key (or NULL) </td></tr>
<tr><td class="paramname">g1</td><td>precomputed output </td></tr>
<tr><td class="paramname">g2</td><td>precomputed output </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 or an error code </dd></dl>
</div>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a8a9e98cb69e6e420dc2e1f8326173c1a">&#9670;&nbsp;</a></span>MPIN_BN254_RANDOM_GENERATE()</h2>
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<td class="memname">int MPIN_BN254_RANDOM_GENERATE </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structcsprng.html">csprng</a> *&#160;</td>
<td class="paramname"><em>R</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>S</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">R</td><td>is a pointer to a cryptographically secure random number generator </td></tr>
<tr><td class="paramname">S</td><td>is the output random octet </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 or an error code </dd></dl>
</div>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a59f98c9869e9a47acb53d3a049090869">&#9670;&nbsp;</a></span>MPIN_BN254_RECOMBINE_G1()</h2>
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<td class="memname">int MPIN_BN254_RECOMBINE_G1 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structoctet.html">octet</a> *&#160;</td>
<td class="paramname"><em>Q1</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>Q2</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>&#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">Q1</td><td>an input member of G1 </td></tr>
<tr><td class="paramname">Q2</td><td>an input member of G1 </td></tr>
<tr><td class="paramname">Q</td><td>an output member of G1 = Q1+Q2 </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 or an error code </dd></dl>
</div>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a24da4cacf1d1df827b47a0a19739f313">&#9670;&nbsp;</a></span>MPIN_BN254_RECOMBINE_G2()</h2>
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<td class="memname">int MPIN_BN254_RECOMBINE_G2 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structoctet.html">octet</a> *&#160;</td>
<td class="paramname"><em>P1</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>P2</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>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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</table>
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<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">P1</td><td>an input member of G2 </td></tr>
<tr><td class="paramname">P2</td><td>an input member of G2 </td></tr>
<tr><td class="paramname">P</td><td>an output member of G2 = P1+P2 </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 or an error code </dd></dl>
</div>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a385346b312b16a4d86ad9aa581986c60">&#9670;&nbsp;</a></span>MPIN_BN254_RESTORE_FACTOR()</h2>
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<td class="memname">int MPIN_BN254_RESTORE_FACTOR </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>h</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>ID</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>factor</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>facbits</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>CS</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
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<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">h</td><td>is the hash type </td></tr>
<tr><td class="paramname">ID</td><td>is the input client identity </td></tr>
<tr><td class="paramname">factor</td><td>is an input factor </td></tr>
<tr><td class="paramname">facbits</td><td>is the number of bits in the factor </td></tr>
<tr><td class="paramname">CS</td><td>is the client secret to which the factor is to be added </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 or an error code </dd></dl>
</div>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a7b1239bd2a451f8ae7e77aadafb8cfac">&#9670;&nbsp;</a></span>MPIN_BN254_SERVER()</h2>
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<td class="memname">int MPIN_BN254_SERVER </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>h</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>d</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>HID</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>HTID</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>y</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>SS</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>U</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>UT</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>V</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>E</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>F</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>ID</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>MESSAGE</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>t</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>Pa</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>If Time Permits are disabled, set d = 0, and UT and HTID are not generated and can be set to NULL. If Time Permits are enabled, and PIN error detection is OFF, U and HID are not needed and can be set to NULL. If Time Permits are enabled, and PIN error detection is ON, U, UT, HID and HTID are all required. </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">h</td><td>is the hash type </td></tr>
<tr><td class="paramname">d</td><td>is input date, in days since the epoch. Set to 0 if Time permits disabled </td></tr>
<tr><td class="paramname">HID</td><td>is output H(ID), a hash of the client ID </td></tr>
<tr><td class="paramname">HTID</td><td>is output H(ID)+H(d|H(ID)) </td></tr>
<tr><td class="paramname">y</td><td>is output H(t|U) or H(t|UT) if Time Permits enabled </td></tr>
<tr><td class="paramname">SS</td><td>is the input server secret </td></tr>
<tr><td class="paramname">U</td><td>is input from the client = x.H(ID) </td></tr>
<tr><td class="paramname">UT</td><td>is input from the client= x.(H(ID)+H(d|H(ID))) </td></tr>
<tr><td class="paramname">V</td><td>is an input from the client </td></tr>
<tr><td class="paramname">E</td><td>is an output to help the Kangaroos to find the PIN error, or NULL if not required </td></tr>
<tr><td class="paramname">F</td><td>is an output to help the Kangaroos to find the PIN error, or NULL if not required </td></tr>
<tr><td class="paramname">ID</td><td>is the input claimed client identity </td></tr>
<tr><td class="paramname">MESSAGE</td><td>is the message to be signed </td></tr>
<tr><td class="paramname">t</td><td>is input epoch time in seconds - a timestamp </td></tr>
<tr><td class="paramname">Pa</td><td>is input from the client z.Q or NULL if the key-escrow less scheme is not used </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 or an error code </dd></dl>
</div>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a6ccfca6fddbdd74822723c3512e78c02">&#9670;&nbsp;</a></span>MPIN_BN254_SERVER_1()</h2>
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<td class="memname">void MPIN_BN254_SERVER_1 </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>h</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>d</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>ID</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>HID</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>HTID</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">h</td><td>is the hash type </td></tr>
<tr><td class="paramname">d</td><td>is input date, in days since the epoch. Set to 0 if Time permits disabled </td></tr>
<tr><td class="paramname">ID</td><td>is the input claimed client identity </td></tr>
<tr><td class="paramname">HID</td><td>is output H(ID), a hash of the client ID </td></tr>
<tr><td class="paramname">HTID</td><td>is output H(ID)+H(d|H(ID)) </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 or an error code </dd></dl>
</div>
</div>
<a id="a2bc98b01681673bd6e48f35180747517"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a2bc98b01681673bd6e48f35180747517">&#9670;&nbsp;</a></span>MPIN_BN254_SERVER_2()</h2>
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<div class="memproto">
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<td class="memname">int MPIN_BN254_SERVER_2 </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>d</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>HID</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>HTID</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>y</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>SS</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>U</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>UT</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>V</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>E</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>F</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>Pa</em>&#160;</td>
</tr>
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<td></td>
<td>)</td>
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<p>If Time Permits are disabled, set d = 0, and UT and HTID are not needed and can be set to NULL. If Time Permits are enabled, and PIN error detection is OFF, U and HID are not needed and can be set to NULL. If Time Permits are enabled, and PIN error detection is ON, U, UT, HID and HTID are all required. </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">d</td><td>is input date, in days since the epoch. Set to 0 if Time permits disabled </td></tr>
<tr><td class="paramname">HID</td><td>is input H(ID), a hash of the client ID </td></tr>
<tr><td class="paramname">HTID</td><td>is input H(ID)+H(d|H(ID)) </td></tr>
<tr><td class="paramname">y</td><td>is the input server's randomly generated challenge </td></tr>
<tr><td class="paramname">SS</td><td>is the input server secret </td></tr>
<tr><td class="paramname">U</td><td>is input from the client = x.H(ID) </td></tr>
<tr><td class="paramname">UT</td><td>is input from the client= x.(H(ID)+H(d|H(ID))) </td></tr>
<tr><td class="paramname">V</td><td>is an input from the client </td></tr>
<tr><td class="paramname">E</td><td>is an output to help the Kangaroos to find the PIN error, or NULL if not required </td></tr>
<tr><td class="paramname">F</td><td>is an output to help the Kangaroos to find the PIN error, or NULL if not required </td></tr>
<tr><td class="paramname">Pa</td><td>is the input public key from the client, z.Q or NULL if the client uses regular mpin </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 or an error code </dd></dl>
</div>
</div>
<a id="a7dceae71682494682bc9301be3557f9f"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a7dceae71682494682bc9301be3557f9f">&#9670;&nbsp;</a></span>MPIN_BN254_SERVER_KEY()</h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">int MPIN_BN254_SERVER_KEY </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>h</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>Z</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>SS</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>w</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>I</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>U</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>UT</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>K</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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<p>Uses UT internally for the key calculation, unless not available in which case U is used </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">h</td><td>is the hash type </td></tr>
<tr><td class="paramname">Z</td><td>is the input Client-side Diffie-Hellman component </td></tr>
<tr><td class="paramname">SS</td><td>is the input server secret </td></tr>
<tr><td class="paramname">w</td><td>is an input random number generated by the server </td></tr>
<tr><td class="paramname">p</td><td>is an input, hash of the protocol transcript </td></tr>
<tr><td class="paramname">I</td><td>is the hashed input client ID = H(ID) </td></tr>
<tr><td class="paramname">U</td><td>is input from the client = x.H(ID) </td></tr>
<tr><td class="paramname">UT</td><td>is input from the client= x.(H(ID)+H(d|H(ID))) </td></tr>
<tr><td class="paramname">K</td><td>is the output calculated shared key </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 or an error code </dd></dl>
</div>
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