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     63 <a href="#typedef-members">Typedefs</a> &#124;
     64 <a href="#func-members">Functions</a>  </div>
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     66 <div class="title">finitefield.h File Reference</div>  </div>
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     68 <div class="contents">
     69 
     70 <p>Finite field interface.  
     71 <a href="#details">More...</a></p>
     72 <div class="textblock"><code>#include &quot;<a class="el" href="bitsupplier_8h.html">epid/common/bitsupplier.h</a>&quot;</code><br />
     73 <code>#include &quot;<a class="el" href="errors_8h.html">epid/common/errors.h</a>&quot;</code><br />
     74 <code>#include &quot;<a class="el" href="bignum_8h.html">epid/common/math/bignum.h</a>&quot;</code><br />
     75 <code>#include &quot;<a class="el" href="stdtypes_8h.html">epid/common/stdtypes.h</a>&quot;</code><br />
     76 <code>#include &quot;<a class="el" href="types_8h.html">epid/common/types.h</a>&quot;</code><br />
     77 </div><table class="memberdecls">
     78 <tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="typedef-members"></a>
     79 Typedefs</h2></td></tr>
     80 <tr class="memitem:gab281b24e336a8b3d7d90079d862d969e"><td class="memItemLeft" align="right" valign="top">
     81 typedef struct <a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a></td></tr>
     82 <tr class="memdesc:gab281b24e336a8b3d7d90079d862d969e"><td class="mdescLeft">&#160;</td><td class="mdescRight">A finite field. <br /></td></tr>
     83 <tr class="separator:gab281b24e336a8b3d7d90079d862d969e"><td class="memSeparator" colspan="2">&#160;</td></tr>
     84 <tr class="memitem:ga6cff5c7c06b07a87442b810ccc0a86fa"><td class="memItemLeft" align="right" valign="top">
     85 typedef struct <a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a></td></tr>
     86 <tr class="memdesc:ga6cff5c7c06b07a87442b810ccc0a86fa"><td class="mdescLeft">&#160;</td><td class="mdescRight">An element in a finite field. <br /></td></tr>
     87 <tr class="separator:ga6cff5c7c06b07a87442b810ccc0a86fa"><td class="memSeparator" colspan="2">&#160;</td></tr>
     88 </table><table class="memberdecls">
     89 <tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
     90 Functions</h2></td></tr>
     91 <tr class="memitem:ga7d99fdc5e4573668a5744e49df7ab67c"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___finite_field_primitives.html#ga7d99fdc5e4573668a5744e49df7ab67c">NewFiniteField</a> (<a class="el" href="struct_big_num_str.html">BigNumStr</a> const *prime, <a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> **ff)</td></tr>
     92 <tr class="memdesc:ga7d99fdc5e4573668a5744e49df7ab67c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Creates new finite field.  <a href="group___finite_field_primitives.html#ga7d99fdc5e4573668a5744e49df7ab67c">More...</a><br /></td></tr>
     93 <tr class="separator:ga7d99fdc5e4573668a5744e49df7ab67c"><td class="memSeparator" colspan="2">&#160;</td></tr>
     94 <tr class="memitem:ga83041e3be9984a4bd8f1021934bfa3a2"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___finite_field_primitives.html#ga83041e3be9984a4bd8f1021934bfa3a2">NewFiniteFieldViaBinomalExtension</a> (<a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> const *ground_field, <a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> const *ground_element, int degree, <a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> **ff)</td></tr>
     95 <tr class="memdesc:ga83041e3be9984a4bd8f1021934bfa3a2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Creates a new finite field using binomial extension.  <a href="group___finite_field_primitives.html#ga83041e3be9984a4bd8f1021934bfa3a2">More...</a><br /></td></tr>
     96 <tr class="separator:ga83041e3be9984a4bd8f1021934bfa3a2"><td class="memSeparator" colspan="2">&#160;</td></tr>
     97 <tr class="memitem:gae69af62a03179718cac81b004549c598"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___finite_field_primitives.html#gae69af62a03179718cac81b004549c598">NewFiniteFieldViaPolynomialExtension</a> (<a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> const *ground_field, <a class="el" href="struct_big_num_str.html">BigNumStr</a> const *irr_polynomial, int degree, <a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> **ff)</td></tr>
     98 <tr class="memdesc:gae69af62a03179718cac81b004549c598"><td class="mdescLeft">&#160;</td><td class="mdescRight">Creates a new finite field using polynomial extension.  <a href="group___finite_field_primitives.html#gae69af62a03179718cac81b004549c598">More...</a><br /></td></tr>
     99 <tr class="separator:gae69af62a03179718cac81b004549c598"><td class="memSeparator" colspan="2">&#160;</td></tr>
    100 <tr class="memitem:gacbdd2871ecf93dadaac9d2c5b16e1e5f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___finite_field_primitives.html#gacbdd2871ecf93dadaac9d2c5b16e1e5f">DeleteFiniteField</a> (<a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> **ff)</td></tr>
    101 <tr class="memdesc:gacbdd2871ecf93dadaac9d2c5b16e1e5f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Frees a previously allocated FiniteField.  <a href="group___finite_field_primitives.html#gacbdd2871ecf93dadaac9d2c5b16e1e5f">More...</a><br /></td></tr>
    102 <tr class="separator:gacbdd2871ecf93dadaac9d2c5b16e1e5f"><td class="memSeparator" colspan="2">&#160;</td></tr>
    103 <tr class="memitem:gacc54f315ede2dbeb8c5990c024a0de6c"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___finite_field_primitives.html#gacc54f315ede2dbeb8c5990c024a0de6c">NewFfElement</a> (<a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> const *ff, <a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> **new_ff_elem)</td></tr>
    104 <tr class="memdesc:gacc54f315ede2dbeb8c5990c024a0de6c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Creates a new finite field element.  <a href="group___finite_field_primitives.html#gacc54f315ede2dbeb8c5990c024a0de6c">More...</a><br /></td></tr>
    105 <tr class="separator:gacc54f315ede2dbeb8c5990c024a0de6c"><td class="memSeparator" colspan="2">&#160;</td></tr>
    106 <tr class="memitem:ga1bad3c6945d1d709fceb07a1dd03000e"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___finite_field_primitives.html#ga1bad3c6945d1d709fceb07a1dd03000e">DeleteFfElement</a> (<a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> **ff_elem)</td></tr>
    107 <tr class="memdesc:ga1bad3c6945d1d709fceb07a1dd03000e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Frees a previously allocated FfElement.  <a href="group___finite_field_primitives.html#ga1bad3c6945d1d709fceb07a1dd03000e">More...</a><br /></td></tr>
    108 <tr class="separator:ga1bad3c6945d1d709fceb07a1dd03000e"><td class="memSeparator" colspan="2">&#160;</td></tr>
    109 <tr class="memitem:ga8a143a5a815a62f4947be2de1653c50f"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___finite_field_primitives.html#ga8a143a5a815a62f4947be2de1653c50f">ReadFfElement</a> (<a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> *ff, <a class="el" href="group___epid_types.html#gace6876a045f2c2694444b35ccb0844e2">ConstOctStr</a> ff_elem_str, size_t strlen, <a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> *ff_elem)</td></tr>
    110 <tr class="memdesc:ga8a143a5a815a62f4947be2de1653c50f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Deserializes a FfElement from a string.  <a href="group___finite_field_primitives.html#ga8a143a5a815a62f4947be2de1653c50f">More...</a><br /></td></tr>
    111 <tr class="separator:ga8a143a5a815a62f4947be2de1653c50f"><td class="memSeparator" colspan="2">&#160;</td></tr>
    112 <tr class="memitem:ga90b2c192708973b54b7a3e82b34536ed"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___finite_field_primitives.html#ga90b2c192708973b54b7a3e82b34536ed">InitFfElementFromBn</a> (<a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> *ff, <a class="el" href="group___big_num_primitives.html#ga2bf153e27be2683f0fb26f0f7ff1f718">BigNum</a> *bn, <a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> *ff_elem)</td></tr>
    113 <tr class="memdesc:ga90b2c192708973b54b7a3e82b34536ed"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initializes an existing FfElement from a BigNum.  <a href="group___finite_field_primitives.html#ga90b2c192708973b54b7a3e82b34536ed">More...</a><br /></td></tr>
    114 <tr class="separator:ga90b2c192708973b54b7a3e82b34536ed"><td class="memSeparator" colspan="2">&#160;</td></tr>
    115 <tr class="memitem:gaa3c1f7515dd823ddad8764091ebc665f"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___finite_field_primitives.html#gaa3c1f7515dd823ddad8764091ebc665f">WriteFfElement</a> (<a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> *ff, <a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> const *ff_elem, <a class="el" href="group___epid_types.html#ga3315fb24f4c5783b6d6eb107933390b0">OctStr</a> ff_elem_str, size_t strlen)</td></tr>
    116 <tr class="memdesc:gaa3c1f7515dd823ddad8764091ebc665f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Serializes a finite field element to a string.  <a href="group___finite_field_primitives.html#gaa3c1f7515dd823ddad8764091ebc665f">More...</a><br /></td></tr>
    117 <tr class="separator:gaa3c1f7515dd823ddad8764091ebc665f"><td class="memSeparator" colspan="2">&#160;</td></tr>
    118 <tr class="memitem:gae7a8c7503b6fc7a41bcaab4d45ca37b2"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___finite_field_primitives.html#gae7a8c7503b6fc7a41bcaab4d45ca37b2">FfNeg</a> (<a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> *ff, <a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> const *a, <a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> *r)</td></tr>
    119 <tr class="memdesc:gae7a8c7503b6fc7a41bcaab4d45ca37b2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates the additive inverse of a finite field element.  <a href="group___finite_field_primitives.html#gae7a8c7503b6fc7a41bcaab4d45ca37b2">More...</a><br /></td></tr>
    120 <tr class="separator:gae7a8c7503b6fc7a41bcaab4d45ca37b2"><td class="memSeparator" colspan="2">&#160;</td></tr>
    121 <tr class="memitem:ga26069d035d0f6ade33af2b5d5c14949a"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___finite_field_primitives.html#ga26069d035d0f6ade33af2b5d5c14949a">FfInv</a> (<a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> *ff, <a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> const *a, <a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> *r)</td></tr>
    122 <tr class="memdesc:ga26069d035d0f6ade33af2b5d5c14949a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates the multiplicative inverse of a finite field element.  <a href="group___finite_field_primitives.html#ga26069d035d0f6ade33af2b5d5c14949a">More...</a><br /></td></tr>
    123 <tr class="separator:ga26069d035d0f6ade33af2b5d5c14949a"><td class="memSeparator" colspan="2">&#160;</td></tr>
    124 <tr class="memitem:ga1a6e6d3c2319bb24eae8670b021e223b"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___finite_field_primitives.html#ga1a6e6d3c2319bb24eae8670b021e223b">FfAdd</a> (<a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> *ff, <a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> const *a, <a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> const *b, <a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> *r)</td></tr>
    125 <tr class="memdesc:ga1a6e6d3c2319bb24eae8670b021e223b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Adds two finite field elements.  <a href="group___finite_field_primitives.html#ga1a6e6d3c2319bb24eae8670b021e223b">More...</a><br /></td></tr>
    126 <tr class="separator:ga1a6e6d3c2319bb24eae8670b021e223b"><td class="memSeparator" colspan="2">&#160;</td></tr>
    127 <tr class="memitem:ga59d20610f245ff4bc3a17b7bfe289991"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___finite_field_primitives.html#ga59d20610f245ff4bc3a17b7bfe289991">FfSub</a> (<a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> *ff, <a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> const *a, <a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> const *b, <a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> *r)</td></tr>
    128 <tr class="memdesc:ga59d20610f245ff4bc3a17b7bfe289991"><td class="mdescLeft">&#160;</td><td class="mdescRight">Subtracts two finite field elements.  <a href="group___finite_field_primitives.html#ga59d20610f245ff4bc3a17b7bfe289991">More...</a><br /></td></tr>
    129 <tr class="separator:ga59d20610f245ff4bc3a17b7bfe289991"><td class="memSeparator" colspan="2">&#160;</td></tr>
    130 <tr class="memitem:ga4613a75bd001a974b3e3e494c3a112a5"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___finite_field_primitives.html#ga4613a75bd001a974b3e3e494c3a112a5">FfMul</a> (<a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> *ff, <a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> const *a, <a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> const *b, <a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> *r)</td></tr>
    131 <tr class="memdesc:ga4613a75bd001a974b3e3e494c3a112a5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplies two finite field elements.  <a href="group___finite_field_primitives.html#ga4613a75bd001a974b3e3e494c3a112a5">More...</a><br /></td></tr>
    132 <tr class="separator:ga4613a75bd001a974b3e3e494c3a112a5"><td class="memSeparator" colspan="2">&#160;</td></tr>
    133 <tr class="memitem:ga20d9140e5670d679ef8183d9b5115f53"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___finite_field_primitives.html#ga20d9140e5670d679ef8183d9b5115f53">FfIsZero</a> (<a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> *ff, <a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> const *a, <a class="el" href="stdtypes_8h.html#ad5c9d4ba3dc37783a528b0925dc981a0">bool</a> *is_zero)</td></tr>
    134 <tr class="memdesc:ga20d9140e5670d679ef8183d9b5115f53"><td class="mdescLeft">&#160;</td><td class="mdescRight">Checks if given finite field element is the additive identity (zero).  <a href="group___finite_field_primitives.html#ga20d9140e5670d679ef8183d9b5115f53">More...</a><br /></td></tr>
    135 <tr class="separator:ga20d9140e5670d679ef8183d9b5115f53"><td class="memSeparator" colspan="2">&#160;</td></tr>
    136 <tr class="memitem:gaf0ddbc1bad048d67771cba119eb44a6c"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___finite_field_primitives.html#gaf0ddbc1bad048d67771cba119eb44a6c">FfExp</a> (<a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> *ff, <a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> const *a, <a class="el" href="group___big_num_primitives.html#ga2bf153e27be2683f0fb26f0f7ff1f718">BigNum</a> const *b, <a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> *r)</td></tr>
    137 <tr class="memdesc:gaf0ddbc1bad048d67771cba119eb44a6c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Raises an element of a finite field to a power.  <a href="group___finite_field_primitives.html#gaf0ddbc1bad048d67771cba119eb44a6c">More...</a><br /></td></tr>
    138 <tr class="separator:gaf0ddbc1bad048d67771cba119eb44a6c"><td class="memSeparator" colspan="2">&#160;</td></tr>
    139 <tr class="memitem:ga84d21decc1c957bcf6e98e1492eb2ac3"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___finite_field_primitives.html#ga84d21decc1c957bcf6e98e1492eb2ac3">FfMultiExp</a> (<a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> *ff, <a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> const **a, <a class="el" href="struct_big_num_str.html">BigNumStr</a> const **b, size_t m, <a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> *r)</td></tr>
    140 <tr class="memdesc:ga84d21decc1c957bcf6e98e1492eb2ac3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multi-exponentiates finite field elements.  <a href="group___finite_field_primitives.html#ga84d21decc1c957bcf6e98e1492eb2ac3">More...</a><br /></td></tr>
    141 <tr class="separator:ga84d21decc1c957bcf6e98e1492eb2ac3"><td class="memSeparator" colspan="2">&#160;</td></tr>
    142 <tr class="memitem:ga1ef46fc83f9c11263a2aa1ec906c9144"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___finite_field_primitives.html#ga1ef46fc83f9c11263a2aa1ec906c9144">FfMultiExpBn</a> (<a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> *ff, <a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> const **a, <a class="el" href="group___big_num_primitives.html#ga2bf153e27be2683f0fb26f0f7ff1f718">BigNum</a> const **b, size_t m, <a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> *r)</td></tr>
    143 <tr class="memdesc:ga1ef46fc83f9c11263a2aa1ec906c9144"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multi-exponentiates finite field elements.  <a href="group___finite_field_primitives.html#ga1ef46fc83f9c11263a2aa1ec906c9144">More...</a><br /></td></tr>
    144 <tr class="separator:ga1ef46fc83f9c11263a2aa1ec906c9144"><td class="memSeparator" colspan="2">&#160;</td></tr>
    145 <tr class="memitem:ga0d0c31a22bbfb665a16b2d25b0cd2634"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___finite_field_primitives.html#ga0d0c31a22bbfb665a16b2d25b0cd2634">FfSscmMultiExp</a> (<a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> *ff, <a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> const **a, <a class="el" href="struct_big_num_str.html">BigNumStr</a> const **b, size_t m, <a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> *r)</td></tr>
    146 <tr class="memdesc:ga0d0c31a22bbfb665a16b2d25b0cd2634"><td class="mdescLeft">&#160;</td><td class="mdescRight">Software side-channel mitigated implementation of FfMultiExp.  <a href="group___finite_field_primitives.html#ga0d0c31a22bbfb665a16b2d25b0cd2634">More...</a><br /></td></tr>
    147 <tr class="separator:ga0d0c31a22bbfb665a16b2d25b0cd2634"><td class="memSeparator" colspan="2">&#160;</td></tr>
    148 <tr class="memitem:gaed2acb8583e9c9f6b49fdb660c672625"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___finite_field_primitives.html#gaed2acb8583e9c9f6b49fdb660c672625">FfIsEqual</a> (<a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> *ff, <a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> const *a, <a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> const *b, <a class="el" href="stdtypes_8h.html#ad5c9d4ba3dc37783a528b0925dc981a0">bool</a> *is_equal)</td></tr>
    149 <tr class="memdesc:gaed2acb8583e9c9f6b49fdb660c672625"><td class="mdescLeft">&#160;</td><td class="mdescRight">Checks if two finite field elements are equal.  <a href="group___finite_field_primitives.html#gaed2acb8583e9c9f6b49fdb660c672625">More...</a><br /></td></tr>
    150 <tr class="separator:gaed2acb8583e9c9f6b49fdb660c672625"><td class="memSeparator" colspan="2">&#160;</td></tr>
    151 <tr class="memitem:gabd511d79d9cbd1899e59258f149102c5"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___finite_field_primitives.html#gabd511d79d9cbd1899e59258f149102c5">FfHash</a> (<a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> *ff, <a class="el" href="group___epid_types.html#gace6876a045f2c2694444b35ccb0844e2">ConstOctStr</a> msg, size_t msg_len, <a class="el" href="group___epid_types.html#ga5e450438f6f9a5eacd0cf5ce354ec890">HashAlg</a> hash_alg, <a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> *r)</td></tr>
    152 <tr class="memdesc:gabd511d79d9cbd1899e59258f149102c5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Hashes an arbitrary message to an element in a finite field.  <a href="group___finite_field_primitives.html#gabd511d79d9cbd1899e59258f149102c5">More...</a><br /></td></tr>
    153 <tr class="separator:gabd511d79d9cbd1899e59258f149102c5"><td class="memSeparator" colspan="2">&#160;</td></tr>
    154 <tr class="memitem:ga6622db072782fd9e53b4d59dd3dbd8e8"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___finite_field_primitives.html#ga6622db072782fd9e53b4d59dd3dbd8e8">FfGetRandom</a> (<a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> *ff, <a class="el" href="struct_big_num_str.html">BigNumStr</a> const *low_bound, <a class="el" href="group___epid_common.html#ga6119a2c0323a3fca9e502b24bc378c2c">BitSupplier</a> rnd_func, void *rnd_param, <a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> *r)</td></tr>
    155 <tr class="memdesc:ga6622db072782fd9e53b4d59dd3dbd8e8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Generate random finite field element.  <a href="group___finite_field_primitives.html#ga6622db072782fd9e53b4d59dd3dbd8e8">More...</a><br /></td></tr>
    156 <tr class="separator:ga6622db072782fd9e53b4d59dd3dbd8e8"><td class="memSeparator" colspan="2">&#160;</td></tr>
    157 <tr class="memitem:ga39892fe2ab431e166dbbcf57756660f6"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___finite_field_primitives.html#ga39892fe2ab431e166dbbcf57756660f6">FfSqrt</a> (<a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> *ff, <a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> const *a, <a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> *r)</td></tr>
    158 <tr class="memdesc:ga39892fe2ab431e166dbbcf57756660f6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Finds a square root of a finite field element.  <a href="group___finite_field_primitives.html#ga39892fe2ab431e166dbbcf57756660f6">More...</a><br /></td></tr>
    159 <tr class="separator:ga39892fe2ab431e166dbbcf57756660f6"><td class="memSeparator" colspan="2">&#160;</td></tr>
    160 </table>
    161 <a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
    162 <div class="textblock"><p>Finite field interface. </p>
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