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<a href="#define-members">Macros</a> &#124;
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<div class="title">mpin256_BLS48.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;pair256_BLS48.h&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="mpin256__BLS48_8h_source.html">Go to the source code of this file.</a></p>
<table class="memberdecls">
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Macros</h2></td></tr>
<tr class="memitem:a5ab43489a60b91ee5be37a0b6659141e"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin256__BLS48_8h.html#a5ab43489a60b91ee5be37a0b6659141e">PGS_BLS48</a>&#160;&#160;&#160;<a class="el" href="config__big__560__58_8h.html#a13505faed4d03b9091b1e8968c008429">MODBYTES_560_58</a></td></tr>
<tr class="separator:a5ab43489a60b91ee5be37a0b6659141e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aed4fdae58cc2d6ba22a2ecf5603a24b1"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin256__BLS48_8h.html#aed4fdae58cc2d6ba22a2ecf5603a24b1">PFS_BLS48</a>&#160;&#160;&#160;<a class="el" href="config__big__560__58_8h.html#a13505faed4d03b9091b1e8968c008429">MODBYTES_560_58</a></td></tr>
<tr class="separator:aed4fdae58cc2d6ba22a2ecf5603a24b1"><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="mpin256__BLS48_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="mpin256__BLS48_8h.html#a1735b73fd12586e70fc971c85e088ffc">MPIN_INVALID_POINT</a>&#160;&#160;&#160;-14</td></tr>
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<tr class="memitem:ad558e3e4522f6846ba98a0d3820faebd"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin256__BLS48_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:a15c5084bd08109c7edebf50db273e494"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin256__BLS48_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="mpin256__BLS48_8h.html#a1bc47461f3417c96da72488c6030447e">PBLEN</a>&#160;&#160;&#160;14</td></tr>
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<tr class="memitem:aeca90e1c1c62b70670514ffc18c9dfd4"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin256__BLS48_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:abc599f5014a91c34cbf2c7f1619a80b5"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin256__BLS48_8h.html#abc599f5014a91c34cbf2c7f1619a80b5">M_SIZE_BLS48</a>&#160;&#160;&#160;(<a class="el" href="mpin__FP512BN_8h.html#aeca90e1c1c62b70670514ffc18c9dfd4">MESSAGE_SIZE</a>+2*<a class="el" href="mpin256__BLS48_8h.html#aed4fdae58cc2d6ba22a2ecf5603a24b1">PFS_BLS48</a>+1)</td></tr>
<tr class="separator:abc599f5014a91c34cbf2c7f1619a80b5"><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:af6bcf07aa77e7ed72ff4e339e93b33b5"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin256__BLS48_8h.html#af6bcf07aa77e7ed72ff4e339e93b33b5">MPIN_BLS48_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:af6bcf07aa77e7ed72ff4e339e93b33b5"><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="#af6bcf07aa77e7ed72ff4e339e93b33b5">More...</a><br /></td></tr>
<tr class="separator:af6bcf07aa77e7ed72ff4e339e93b33b5"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a866e14abc80ada987dbc5c25279f64c4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin256__BLS48_8h.html#a866e14abc80ada987dbc5c25279f64c4">MPIN_BLS48_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:a866e14abc80ada987dbc5c25279f64c4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Extract a PIN number from a client secret. <a href="#a866e14abc80ada987dbc5c25279f64c4">More...</a><br /></td></tr>
<tr class="separator:a866e14abc80ada987dbc5c25279f64c4"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a4b8a25413c8d63acc805eae7bdc097b0"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin256__BLS48_8h.html#a4b8a25413c8d63acc805eae7bdc097b0">MPIN_BLS48_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:a4b8a25413c8d63acc805eae7bdc097b0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Extract a PIN number from a client secret. <a href="#a4b8a25413c8d63acc805eae7bdc097b0">More...</a><br /></td></tr>
<tr class="separator:a4b8a25413c8d63acc805eae7bdc097b0"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aeaa492f38f9cc78ec5f47953c4198adc"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin256__BLS48_8h.html#aeaa492f38f9cc78ec5f47953c4198adc">MPIN_BLS48_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:aeaa492f38f9cc78ec5f47953c4198adc"><td class="mdescLeft">&#160;</td><td class="mdescRight">Extract a PIN number from a client secret. <a href="#aeaa492f38f9cc78ec5f47953c4198adc">More...</a><br /></td></tr>
<tr class="separator:aeaa492f38f9cc78ec5f47953c4198adc"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab057f2ea83879844f9bc9e2d936ec8ae"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin256__BLS48_8h.html#ab057f2ea83879844f9bc9e2d936ec8ae">MPIN_BLS48_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:ab057f2ea83879844f9bc9e2d936ec8ae"><td class="mdescLeft">&#160;</td><td class="mdescRight">Perform client side of the one-pass version of the M-Pin protocol. <a href="#ab057f2ea83879844f9bc9e2d936ec8ae">More...</a><br /></td></tr>
<tr class="separator:ab057f2ea83879844f9bc9e2d936ec8ae"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac4ffa752c5e0e55003a2996862400381"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin256__BLS48_8h.html#ac4ffa752c5e0e55003a2996862400381">MPIN_BLS48_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:ac4ffa752c5e0e55003a2996862400381"><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="#ac4ffa752c5e0e55003a2996862400381">More...</a><br /></td></tr>
<tr class="separator:ac4ffa752c5e0e55003a2996862400381"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af45aff2251433897288f68240a9c5651"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin256__BLS48_8h.html#af45aff2251433897288f68240a9c5651">MPIN_BLS48_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:af45aff2251433897288f68240a9c5651"><td class="mdescLeft">&#160;</td><td class="mdescRight">Generate a random group element. <a href="#af45aff2251433897288f68240a9c5651">More...</a><br /></td></tr>
<tr class="separator:af45aff2251433897288f68240a9c5651"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac0aafefe18decfbe7aa4452c90ff15dc"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin256__BLS48_8h.html#ac0aafefe18decfbe7aa4452c90ff15dc">MPIN_BLS48_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:ac0aafefe18decfbe7aa4452c90ff15dc"><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="#ac0aafefe18decfbe7aa4452c90ff15dc">More...</a><br /></td></tr>
<tr class="separator:ac0aafefe18decfbe7aa4452c90ff15dc"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af276118033d132d12b9727a433bdf5f3"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin256__BLS48_8h.html#af276118033d132d12b9727a433bdf5f3">MPIN_BLS48_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:af276118033d132d12b9727a433bdf5f3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Perform server side of the one-pass version of the M-Pin protocol. <a href="#af276118033d132d12b9727a433bdf5f3">More...</a><br /></td></tr>
<tr class="separator:af276118033d132d12b9727a433bdf5f3"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:abd5fb722dbe8b9d2956fb5a7652d1c63"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin256__BLS48_8h.html#abd5fb722dbe8b9d2956fb5a7652d1c63">MPIN_BLS48_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:abd5fb722dbe8b9d2956fb5a7652d1c63"><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="#abd5fb722dbe8b9d2956fb5a7652d1c63">More...</a><br /></td></tr>
<tr class="separator:abd5fb722dbe8b9d2956fb5a7652d1c63"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7d8ffd22a9fcf0606f753557566d1e60"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin256__BLS48_8h.html#a7d8ffd22a9fcf0606f753557566d1e60">MPIN_BLS48_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:a7d8ffd22a9fcf0606f753557566d1e60"><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="#a7d8ffd22a9fcf0606f753557566d1e60">More...</a><br /></td></tr>
<tr class="separator:a7d8ffd22a9fcf0606f753557566d1e60"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa1015de22315dd7ff1ff25214b6cf983"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin256__BLS48_8h.html#aa1015de22315dd7ff1ff25214b6cf983">MPIN_BLS48_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:aa1015de22315dd7ff1ff25214b6cf983"><td class="mdescLeft">&#160;</td><td class="mdescRight">Add two members from the group G1. <a href="#aa1015de22315dd7ff1ff25214b6cf983">More...</a><br /></td></tr>
<tr class="separator:aa1015de22315dd7ff1ff25214b6cf983"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:adcd2167c5a18a8e80adf38d8b4d334a1"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin256__BLS48_8h.html#adcd2167c5a18a8e80adf38d8b4d334a1">MPIN_BLS48_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:adcd2167c5a18a8e80adf38d8b4d334a1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Add two members from the group G2. <a href="#adcd2167c5a18a8e80adf38d8b4d334a1">More...</a><br /></td></tr>
<tr class="separator:adcd2167c5a18a8e80adf38d8b4d334a1"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a96a20c3f6c570953f948ffbe9edc7ea8"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin256__BLS48_8h.html#a96a20c3f6c570953f948ffbe9edc7ea8">MPIN_BLS48_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:a96a20c3f6c570953f948ffbe9edc7ea8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Use Kangaroos to find PIN error. <a href="#a96a20c3f6c570953f948ffbe9edc7ea8">More...</a><br /></td></tr>
<tr class="separator:a96a20c3f6c570953f948ffbe9edc7ea8"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a810e4bbcdbe01665c44a5e39900a6450"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin256__BLS48_8h.html#a810e4bbcdbe01665c44a5e39900a6450">MPIN_BLS48_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:a810e4bbcdbe01665c44a5e39900a6450"><td class="mdescLeft">&#160;</td><td class="mdescRight">Encoding of a Time Permit to make it indistinguishable from a random string. <a href="#a810e4bbcdbe01665c44a5e39900a6450">More...</a><br /></td></tr>
<tr class="separator:a810e4bbcdbe01665c44a5e39900a6450"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8de88e0db4f8866a5924f95fa7b7d35a"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin256__BLS48_8h.html#a8de88e0db4f8866a5924f95fa7b7d35a">MPIN_BLS48_DECODING</a> (<a class="el" href="structoctet.html">octet</a> *TP)</td></tr>
<tr class="memdesc:a8de88e0db4f8866a5924f95fa7b7d35a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Encoding of an obfuscated Time Permit. <a href="#a8de88e0db4f8866a5924f95fa7b7d35a">More...</a><br /></td></tr>
<tr class="separator:a8de88e0db4f8866a5924f95fa7b7d35a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3f63d99b620a57987eca9c5b4ae00cda"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin256__BLS48_8h.html#a3f63d99b620a57987eca9c5b4ae00cda">MPIN_BLS48_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:a3f63d99b620a57987eca9c5b4ae00cda"><td class="mdescLeft">&#160;</td><td class="mdescRight">Find a random multiple of a point in G1. <a href="#a3f63d99b620a57987eca9c5b4ae00cda">More...</a><br /></td></tr>
<tr class="separator:a3f63d99b620a57987eca9c5b4ae00cda"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a71d6b13264979369a6da78766fbabb5f"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin256__BLS48_8h.html#a71d6b13264979369a6da78766fbabb5f">MPIN_BLS48_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:a71d6b13264979369a6da78766fbabb5f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Find a random multiple of a point in G1. <a href="#a71d6b13264979369a6da78766fbabb5f">More...</a><br /></td></tr>
<tr class="separator:a71d6b13264979369a6da78766fbabb5f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aeac6e57118df8d5bd22b7725c3431809"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin256__BLS48_8h.html#aeac6e57118df8d5bd22b7725c3431809">MPIN_BLS48_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:aeac6e57118df8d5bd22b7725c3431809"><td class="mdescLeft">&#160;</td><td class="mdescRight">Create a client secret in G1 from a master secret and the client ID. <a href="#aeac6e57118df8d5bd22b7725c3431809">More...</a><br /></td></tr>
<tr class="separator:aeac6e57118df8d5bd22b7725c3431809"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a824f06142297301cd4f1bde572711eee"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin256__BLS48_8h.html#a824f06142297301cd4f1bde572711eee">MPIN_BLS48_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:a824f06142297301cd4f1bde572711eee"><td class="mdescLeft">&#160;</td><td class="mdescRight">Create a Time Permit in G1 from a master secret and the client ID. <a href="#a824f06142297301cd4f1bde572711eee">More...</a><br /></td></tr>
<tr class="separator:a824f06142297301cd4f1bde572711eee"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a4f47c99e38c4861ff5868fd668edba05"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin256__BLS48_8h.html#a4f47c99e38c4861ff5868fd668edba05">MPIN_BLS48_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:a4f47c99e38c4861ff5868fd668edba05"><td class="mdescLeft">&#160;</td><td class="mdescRight">Create a server secret in G2 from a master secret. <a href="#a4f47c99e38c4861ff5868fd668edba05">More...</a><br /></td></tr>
<tr class="separator:a4f47c99e38c4861ff5868fd668edba05"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8c453aa7fa211d1d6907df005b0f658b"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin256__BLS48_8h.html#a8c453aa7fa211d1d6907df005b0f658b">MPIN_BLS48_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:a8c453aa7fa211d1d6907df005b0f658b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Precompute values for use by the client side of M-Pin Full. <a href="#a8c453aa7fa211d1d6907df005b0f658b">More...</a><br /></td></tr>
<tr class="separator:a8c453aa7fa211d1d6907df005b0f658b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:adbba9616cd64712945eae1ba6159fcec"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin256__BLS48_8h.html#adbba9616cd64712945eae1ba6159fcec">MPIN_BLS48_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:adbba9616cd64712945eae1ba6159fcec"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate Key on Server side for M-Pin Full. <a href="#adbba9616cd64712945eae1ba6159fcec">More...</a><br /></td></tr>
<tr class="separator:adbba9616cd64712945eae1ba6159fcec"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a007a8fe890933a97c0b76cd4300baa8d"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin256__BLS48_8h.html#a007a8fe890933a97c0b76cd4300baa8d">MPIN_BLS48_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:a007a8fe890933a97c0b76cd4300baa8d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate Key on Client side for M-Pin Full. <a href="#a007a8fe890933a97c0b76cd4300baa8d">More...</a><br /></td></tr>
<tr class="separator:a007a8fe890933a97c0b76cd4300baa8d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae323e4f9d0988ab1a12e57c4f35bdb2f"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="mpin256__BLS48_8h.html#ae323e4f9d0988ab1a12e57c4f35bdb2f">MPIN_BLS48_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:ae323e4f9d0988ab1a12e57c4f35bdb2f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Generates a random public key for the client z.Q. <a href="#ae323e4f9d0988ab1a12e57c4f35bdb2f">More...</a><br /></td></tr>
<tr class="separator:ae323e4f9d0988ab1a12e57c4f35bdb2f"><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 and Kealan McCusker </dd></dl>
<dl class="section date"><dt>Date</dt><dd>2nd June 2015 Allows some user configuration defines structures declares functions </dd></dl>
</div><h2 class="groupheader">Macro Definition Documentation</h2>
<a id="abc599f5014a91c34cbf2c7f1619a80b5"></a>
<h2 class="memtitle"><span class="permalink"><a href="#abc599f5014a91c34cbf2c7f1619a80b5">&#9670;&nbsp;</a></span>M_SIZE_BLS48</h2>
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<td class="memname">#define M_SIZE_BLS48&#160;&#160;&#160;(<a class="el" href="mpin__FP512BN_8h.html#aeca90e1c1c62b70670514ffc18c9dfd4">MESSAGE_SIZE</a>+2*<a class="el" href="mpin256__BLS48_8h.html#aed4fdae58cc2d6ba22a2ecf5603a24b1">PFS_BLS48</a>+1)</td>
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</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>
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</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>
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<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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<p>Function completed without error </p>
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<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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<p>max length of PIN in bits </p>
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<a id="aed4fdae58cc2d6ba22a2ecf5603a24b1"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aed4fdae58cc2d6ba22a2ecf5603a24b1">&#9670;&nbsp;</a></span>PFS_BLS48</h2>
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<td class="memname">#define PFS_BLS48&#160;&#160;&#160;<a class="el" href="config__big__560__58_8h.html#a13505faed4d03b9091b1e8968c008429">MODBYTES_560_58</a></td>
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<p>MPIN Field Size </p>
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<a id="a5ab43489a60b91ee5be37a0b6659141e"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a5ab43489a60b91ee5be37a0b6659141e">&#9670;&nbsp;</a></span>PGS_BLS48</h2>
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<td class="memname">#define PGS_BLS48&#160;&#160;&#160;<a class="el" href="config__big__560__58_8h.html#a13505faed4d03b9091b1e8968c008429">MODBYTES_560_58</a></td>
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<p>MPIN Group Size </p>
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</div>
<h2 class="groupheader">Function Documentation</h2>
<a id="ab057f2ea83879844f9bc9e2d936ec8ae"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ab057f2ea83879844f9bc9e2d936ec8ae">&#9670;&nbsp;</a></span>MPIN_BLS48_CLIENT()</h2>
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<td class="memname">int MPIN_BLS48_CLIENT </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>h</em>, </td>
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<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>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>t</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>y</em>&#160;</td>
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<td></td>
<td>)</td>
<td></td><td></td>
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</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">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="ac4ffa752c5e0e55003a2996862400381"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac4ffa752c5e0e55003a2996862400381">&#9670;&nbsp;</a></span>MPIN_BLS48_CLIENT_1()</h2>
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<td class="memname">int MPIN_BLS48_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="ac0aafefe18decfbe7aa4452c90ff15dc"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac0aafefe18decfbe7aa4452c90ff15dc">&#9670;&nbsp;</a></span>MPIN_BLS48_CLIENT_2()</h2>
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<td class="memname">int MPIN_BLS48_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>
<a id="a007a8fe890933a97c0b76cd4300baa8d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a007a8fe890933a97c0b76cd4300baa8d">&#9670;&nbsp;</a></span>MPIN_BLS48_CLIENT_KEY()</h2>
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<td class="memname">int MPIN_BLS48_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>
<a id="a8de88e0db4f8866a5924f95fa7b7d35a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a8de88e0db4f8866a5924f95fa7b7d35a">&#9670;&nbsp;</a></span>MPIN_BLS48_DECODING()</h2>
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<td class="memname">int MPIN_BLS48_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="#a810e4bbcdbe01665c44a5e39900a6450">&#9670;&nbsp;</a></span>MPIN_BLS48_ENCODING()</h2>
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<td class="memname">int MPIN_BLS48_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="#a866e14abc80ada987dbc5c25279f64c4">&#9670;&nbsp;</a></span>MPIN_BLS48_EXTRACT_FACTOR()</h2>
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<td class="memname">int MPIN_BLS48_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="#aeaa492f38f9cc78ec5f47953c4198adc">&#9670;&nbsp;</a></span>MPIN_BLS48_EXTRACT_PIN()</h2>
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<td class="memname">int MPIN_BLS48_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>
<a id="a824f06142297301cd4f1bde572711eee"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a824f06142297301cd4f1bde572711eee">&#9670;&nbsp;</a></span>MPIN_BLS48_GET_CLIENT_PERMIT()</h2>
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<td class="memname">int MPIN_BLS48_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="#aeac6e57118df8d5bd22b7725c3431809">&#9670;&nbsp;</a></span>MPIN_BLS48_GET_CLIENT_SECRET()</h2>
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<td class="memname">int MPIN_BLS48_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>
<a id="ae323e4f9d0988ab1a12e57c4f35bdb2f"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae323e4f9d0988ab1a12e57c4f35bdb2f">&#9670;&nbsp;</a></span>MPIN_BLS48_GET_DVS_KEYPAIR()</h2>
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<td class="memname">int MPIN_BLS48_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>
</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">Z</td><td>an output internally randomly generated if R!=NULL, otherwise it must be provided as an input </td></tr>
<tr><td class="paramname">Pa</td><td>the output public key for the client </td></tr>
</table>
</dd>
</dl>
</div>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a3f63d99b620a57987eca9c5b4ae00cda">&#9670;&nbsp;</a></span>MPIN_BLS48_GET_G1_MULTIPLE()</h2>
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<td class="memname">int MPIN_BLS48_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>
<a id="a71d6b13264979369a6da78766fbabb5f"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a71d6b13264979369a6da78766fbabb5f">&#9670;&nbsp;</a></span>MPIN_BLS48_GET_G2_MULTIPLE()</h2>
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<div class="memproto">
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<tr>
<td class="memname">int MPIN_BLS48_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="a4f47c99e38c4861ff5868fd668edba05"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a4f47c99e38c4861ff5868fd668edba05">&#9670;&nbsp;</a></span>MPIN_BLS48_GET_SERVER_SECRET()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">int MPIN_BLS48_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>
<a id="af6bcf07aa77e7ed72ff4e339e93b33b5"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af6bcf07aa77e7ed72ff4e339e93b33b5">&#9670;&nbsp;</a></span>MPIN_BLS48_GET_Y()</h2>
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<td class="memname">void MPIN_BLS48_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>
<a id="a96a20c3f6c570953f948ffbe9edc7ea8"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a96a20c3f6c570953f948ffbe9edc7ea8">&#9670;&nbsp;</a></span>MPIN_BLS48_KANGAROO()</h2>
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<td class="memname">int MPIN_BLS48_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>
</tr>
</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>
<a id="a8c453aa7fa211d1d6907df005b0f658b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a8c453aa7fa211d1d6907df005b0f658b">&#9670;&nbsp;</a></span>MPIN_BLS48_PRECOMPUTE()</h2>
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<td class="memname">int MPIN_BLS48_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>
</div><div class="memdoc">
<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>
<a id="af45aff2251433897288f68240a9c5651"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af45aff2251433897288f68240a9c5651">&#9670;&nbsp;</a></span>MPIN_BLS48_RANDOM_GENERATE()</h2>
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<td class="memname">int MPIN_BLS48_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>
<a id="aa1015de22315dd7ff1ff25214b6cf983"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa1015de22315dd7ff1ff25214b6cf983">&#9670;&nbsp;</a></span>MPIN_BLS48_RECOMBINE_G1()</h2>
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<td class="memname">int MPIN_BLS48_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>
<a id="adcd2167c5a18a8e80adf38d8b4d334a1"></a>
<h2 class="memtitle"><span class="permalink"><a href="#adcd2167c5a18a8e80adf38d8b4d334a1">&#9670;&nbsp;</a></span>MPIN_BLS48_RECOMBINE_G2()</h2>
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<td class="memname">int MPIN_BLS48_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>
</tr>
</table>
</div><div class="memdoc">
<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>
<a id="a4b8a25413c8d63acc805eae7bdc097b0"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a4b8a25413c8d63acc805eae7bdc097b0">&#9670;&nbsp;</a></span>MPIN_BLS48_RESTORE_FACTOR()</h2>
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<td class="memname">int MPIN_BLS48_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>
</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 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>
<a id="af276118033d132d12b9727a433bdf5f3"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af276118033d132d12b9727a433bdf5f3">&#9670;&nbsp;</a></span>MPIN_BLS48_SERVER()</h2>
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<td class="memname">int MPIN_BLS48_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="#abd5fb722dbe8b9d2956fb5a7652d1c63">&#9670;&nbsp;</a></span>MPIN_BLS48_SERVER_1()</h2>
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<td class="memname">void MPIN_BLS48_SERVER_1 </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>h</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>d</em>, </td>
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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>
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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>HID</em>, </td>
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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>HTID</em>&#160;</td>
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<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>
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<dl class="section return"><dt>Returns</dt><dd>0 or an error code </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#a7d8ffd22a9fcf0606f753557566d1e60">&#9670;&nbsp;</a></span>MPIN_BLS48_SERVER_2()</h2>
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<td class="memname">int MPIN_BLS48_SERVER_2 </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>d</em>, </td>
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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>HID</em>, </td>
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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>HTID</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>y</em>, </td>
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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>
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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>U</em>, </td>
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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>UT</em>, </td>
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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>V</em>, </td>
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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>E</em>, </td>
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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>F</em>, </td>
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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>Pa</em>&#160;</td>
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<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>
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<h2 class="memtitle"><span class="permalink"><a href="#adbba9616cd64712945eae1ba6159fcec">&#9670;&nbsp;</a></span>MPIN_BLS48_SERVER_KEY()</h2>
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<td class="memname">int MPIN_BLS48_SERVER_KEY </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>h</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype"><a class="el" href="structoctet.html">octet</a> *&#160;</td>
<td class="paramname"><em>Z</em>, </td>
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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>
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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>w</em>, </td>
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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>p</em>, </td>
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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>I</em>, </td>
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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>U</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>UT</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>K</em>&#160;</td>
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<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>
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