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group___finite_field_primitives.html

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  34.                             href="index.html">Intel&reg; Enhanced Privacy ID SDK</a>
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  35. &#160;<span id="projectnumber">3.0.0</span>
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  61. <a href="#typedef-members">Typedefs</a> &#124;
    62. 

  62. <a href="#func-members">Functions</a>  </div>
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  63.   <div class="headertitle">
    64. 

  64. <div class="title">finitefield<div class="ingroups"><a class="el" href="group___epid_module.html">epid</a> &raquo; <a class="el" href="group___epid_common.html">common</a> &raquo; <a class="el" href="group___epid_math.html">math</a></div></div>  </div>
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  66. <div class="contents">
    67. 

  67. 

  68. <p>Finite field operations.  
    69. 

  69. <a href="#details">More...</a></p>
    70. 

  70. <table class="memberdecls">
    71. 

  71. <tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="typedef-members"></a>
    72. 

  72. Typedefs</h2></td></tr>
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  73. <tr class="memitem:gab281b24e336a8b3d7d90079d862d969e"><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="gab281b24e336a8b3d7d90079d862d969e"></a>
    74. 

  74. 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>
    75. 

  75. <tr class="memdesc:gab281b24e336a8b3d7d90079d862d969e"><td class="mdescLeft">&#160;</td><td class="mdescRight">A finite field. <br /></td></tr>
    76. 

  76. <tr class="separator:gab281b24e336a8b3d7d90079d862d969e"><td class="memSeparator" colspan="2">&#160;</td></tr>
    77. 

  77. <tr class="memitem:ga6cff5c7c06b07a87442b810ccc0a86fa"><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="ga6cff5c7c06b07a87442b810ccc0a86fa"></a>
    78. 

  78. 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>
    79. 

  79. <tr class="memdesc:ga6cff5c7c06b07a87442b810ccc0a86fa"><td class="mdescLeft">&#160;</td><td class="mdescRight">An element in a finite field. <br /></td></tr>
    80. 

  80. <tr class="separator:ga6cff5c7c06b07a87442b810ccc0a86fa"><td class="memSeparator" colspan="2">&#160;</td></tr>
    81. 

  81. </table><table class="memberdecls">
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  82. <tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
    83. 

  83. Functions</h2></td></tr>
    84. 

  84. <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>
    85. 

  85. <tr class="memdesc:ga7d99fdc5e4573668a5744e49df7ab67c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Creates new finite field.  <a href="#ga7d99fdc5e4573668a5744e49df7ab67c">More...</a><br /></td></tr>
    86. 

  86. <tr class="separator:ga7d99fdc5e4573668a5744e49df7ab67c"><td class="memSeparator" colspan="2">&#160;</td></tr>
    87. 

  87. <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>
    88. 

  88. <tr class="memdesc:ga83041e3be9984a4bd8f1021934bfa3a2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Creates a new finite field using binomial extension.  <a href="#ga83041e3be9984a4bd8f1021934bfa3a2">More...</a><br /></td></tr>
    89. 

  89. <tr class="separator:ga83041e3be9984a4bd8f1021934bfa3a2"><td class="memSeparator" colspan="2">&#160;</td></tr>
    90. 

  90. <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>
    91. 

  91. <tr class="memdesc:gae69af62a03179718cac81b004549c598"><td class="mdescLeft">&#160;</td><td class="mdescRight">Creates a new finite field using polynomial extension.  <a href="#gae69af62a03179718cac81b004549c598">More...</a><br /></td></tr>
    92. 

  92. <tr class="separator:gae69af62a03179718cac81b004549c598"><td class="memSeparator" colspan="2">&#160;</td></tr>
    93. 

  93. <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>
    94. 

  94. <tr class="memdesc:gacbdd2871ecf93dadaac9d2c5b16e1e5f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Frees a previously allocated FiniteField.  <a href="#gacbdd2871ecf93dadaac9d2c5b16e1e5f">More...</a><br /></td></tr>
    95. 

  95. <tr class="separator:gacbdd2871ecf93dadaac9d2c5b16e1e5f"><td class="memSeparator" colspan="2">&#160;</td></tr>
    96. 

  96. <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>
    97. 

  97. <tr class="memdesc:gacc54f315ede2dbeb8c5990c024a0de6c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Creates a new finite field element.  <a href="#gacc54f315ede2dbeb8c5990c024a0de6c">More...</a><br /></td></tr>
    98. 

  98. <tr class="separator:gacc54f315ede2dbeb8c5990c024a0de6c"><td class="memSeparator" colspan="2">&#160;</td></tr>
    99. 

  99. <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>
    100. 

  100. <tr class="memdesc:ga1bad3c6945d1d709fceb07a1dd03000e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Frees a previously allocated FfElement.  <a href="#ga1bad3c6945d1d709fceb07a1dd03000e">More...</a><br /></td></tr>
    101. 

  101. <tr class="separator:ga1bad3c6945d1d709fceb07a1dd03000e"><td class="memSeparator" colspan="2">&#160;</td></tr>
    102. 

  102. <tr class="memitem:ga884d9e1baadf29a410244a735853e3c7"><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#ga884d9e1baadf29a410244a735853e3c7">ReadFfElement</a> (<a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> *ff, void const *ff_elem_str, size_t strlen, <a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> *ff_elem)</td></tr>
    103. 

  103. <tr class="memdesc:ga884d9e1baadf29a410244a735853e3c7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Deserializes a FfElement from a string.  <a href="#ga884d9e1baadf29a410244a735853e3c7">More...</a><br /></td></tr>
    104. 

  104. <tr class="separator:ga884d9e1baadf29a410244a735853e3c7"><td class="memSeparator" colspan="2">&#160;</td></tr>
    105. 

  105. <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>
    106. 

  106. <tr class="memdesc:ga90b2c192708973b54b7a3e82b34536ed"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initializes an existing FfElement from a BigNum.  <a href="#ga90b2c192708973b54b7a3e82b34536ed">More...</a><br /></td></tr>
    107. 

  107. <tr class="separator:ga90b2c192708973b54b7a3e82b34536ed"><td class="memSeparator" colspan="2">&#160;</td></tr>
    108. 

  108. <tr class="memitem:ga678694636708463b078d842d5c58a900"><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#ga678694636708463b078d842d5c58a900">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, void *ff_elem_str, size_t strlen)</td></tr>
    109. 

  109. <tr class="memdesc:ga678694636708463b078d842d5c58a900"><td class="mdescLeft">&#160;</td><td class="mdescRight">Serializes a finite field element to a string.  <a href="#ga678694636708463b078d842d5c58a900">More...</a><br /></td></tr>
    110. 

  110. <tr class="separator:ga678694636708463b078d842d5c58a900"><td class="memSeparator" colspan="2">&#160;</td></tr>
    111. 

  111. <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>
    112. 

  112. <tr class="memdesc:gae7a8c7503b6fc7a41bcaab4d45ca37b2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates the additive inverse of a finite field element.  <a href="#gae7a8c7503b6fc7a41bcaab4d45ca37b2">More...</a><br /></td></tr>
    113. 

  113. <tr class="separator:gae7a8c7503b6fc7a41bcaab4d45ca37b2"><td class="memSeparator" colspan="2">&#160;</td></tr>
    114. 

  114. <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>
    115. 

  115. <tr class="memdesc:ga26069d035d0f6ade33af2b5d5c14949a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates the multiplicative inverse of a finite field element.  <a href="#ga26069d035d0f6ade33af2b5d5c14949a">More...</a><br /></td></tr>
    116. 

  116. <tr class="separator:ga26069d035d0f6ade33af2b5d5c14949a"><td class="memSeparator" colspan="2">&#160;</td></tr>
    117. 

  117. <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>
    118. 

  118. <tr class="memdesc:ga1a6e6d3c2319bb24eae8670b021e223b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Adds two finite field elements.  <a href="#ga1a6e6d3c2319bb24eae8670b021e223b">More...</a><br /></td></tr>
    119. 

  119. <tr class="separator:ga1a6e6d3c2319bb24eae8670b021e223b"><td class="memSeparator" colspan="2">&#160;</td></tr>
    120. 

  120. <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>
    121. 

  121. <tr class="memdesc:ga59d20610f245ff4bc3a17b7bfe289991"><td class="mdescLeft">&#160;</td><td class="mdescRight">Subtracts two finite field elements.  <a href="#ga59d20610f245ff4bc3a17b7bfe289991">More...</a><br /></td></tr>
    122. 

  122. <tr class="separator:ga59d20610f245ff4bc3a17b7bfe289991"><td class="memSeparator" colspan="2">&#160;</td></tr>
    123. 

  123. <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>
    124. 

  124. <tr class="memdesc:ga4613a75bd001a974b3e3e494c3a112a5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplies two finite field elements.  <a href="#ga4613a75bd001a974b3e3e494c3a112a5">More...</a><br /></td></tr>
    125. 

  125. <tr class="separator:ga4613a75bd001a974b3e3e494c3a112a5"><td class="memSeparator" colspan="2">&#160;</td></tr>
    126. 

  126. <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>
    127. 

  127. <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="#ga20d9140e5670d679ef8183d9b5115f53">More...</a><br /></td></tr>
    128. 

  128. <tr class="separator:ga20d9140e5670d679ef8183d9b5115f53"><td class="memSeparator" colspan="2">&#160;</td></tr>
    129. 

  129. <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>
    130. 

  130. <tr class="memdesc:gaf0ddbc1bad048d67771cba119eb44a6c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Raises an element of a finite field to a power.  <a href="#gaf0ddbc1bad048d67771cba119eb44a6c">More...</a><br /></td></tr>
    131. 

  131. <tr class="separator:gaf0ddbc1bad048d67771cba119eb44a6c"><td class="memSeparator" colspan="2">&#160;</td></tr>
    132. 

  132. <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>
    133. 

  133. <tr class="memdesc:ga84d21decc1c957bcf6e98e1492eb2ac3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multi-exponentiates finite field elements.  <a href="#ga84d21decc1c957bcf6e98e1492eb2ac3">More...</a><br /></td></tr>
    134. 

  134. <tr class="separator:ga84d21decc1c957bcf6e98e1492eb2ac3"><td class="memSeparator" colspan="2">&#160;</td></tr>
    135. 

  135. <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>
    136. 

  136. <tr class="memdesc:ga1ef46fc83f9c11263a2aa1ec906c9144"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multi-exponentiates finite field elements.  <a href="#ga1ef46fc83f9c11263a2aa1ec906c9144">More...</a><br /></td></tr>
    137. 

  137. <tr class="separator:ga1ef46fc83f9c11263a2aa1ec906c9144"><td class="memSeparator" colspan="2">&#160;</td></tr>
    138. 

  138. <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>
    139. 

  139. <tr class="memdesc:ga0d0c31a22bbfb665a16b2d25b0cd2634"><td class="mdescLeft">&#160;</td><td class="mdescRight">Software side-channel mitigated implementation of FfMultiExp.  <a href="#ga0d0c31a22bbfb665a16b2d25b0cd2634">More...</a><br /></td></tr>
    140. 

  140. <tr class="separator:ga0d0c31a22bbfb665a16b2d25b0cd2634"><td class="memSeparator" colspan="2">&#160;</td></tr>
    141. 

  141. <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>
    142. 

  142. <tr class="memdesc:gaed2acb8583e9c9f6b49fdb660c672625"><td class="mdescLeft">&#160;</td><td class="mdescRight">Checks if two finite field elements are equal.  <a href="#gaed2acb8583e9c9f6b49fdb660c672625">More...</a><br /></td></tr>
    143. 

  143. <tr class="separator:gaed2acb8583e9c9f6b49fdb660c672625"><td class="memSeparator" colspan="2">&#160;</td></tr>
    144. 

  144. <tr class="memitem:ga18a952cebb4a1274c73e6cb0c19e8aea"><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#ga18a952cebb4a1274c73e6cb0c19e8aea">FfHash</a> (<a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> *ff, void const *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>
    145. 

  145. <tr class="memdesc:ga18a952cebb4a1274c73e6cb0c19e8aea"><td class="mdescLeft">&#160;</td><td class="mdescRight">Hashes an arbitrary message to an element in a finite field.  <a href="#ga18a952cebb4a1274c73e6cb0c19e8aea">More...</a><br /></td></tr>
    146. 

  146. <tr class="separator:ga18a952cebb4a1274c73e6cb0c19e8aea"><td class="memSeparator" colspan="2">&#160;</td></tr>
    147. 

  147. <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>
    148. 

  148. <tr class="memdesc:ga6622db072782fd9e53b4d59dd3dbd8e8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Generate random finite field element.  <a href="#ga6622db072782fd9e53b4d59dd3dbd8e8">More...</a><br /></td></tr>
    149. 

  149. <tr class="separator:ga6622db072782fd9e53b4d59dd3dbd8e8"><td class="memSeparator" colspan="2">&#160;</td></tr>
    150. 

  150. <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>
    151. 

  151. <tr class="memdesc:ga39892fe2ab431e166dbbcf57756660f6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Finds a square root of a finite field element.  <a href="#ga39892fe2ab431e166dbbcf57756660f6">More...</a><br /></td></tr>
    152. 

  152. <tr class="separator:ga39892fe2ab431e166dbbcf57756660f6"><td class="memSeparator" colspan="2">&#160;</td></tr>
    153. 

  153. </table>
    154. 

  154. <a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
    155. 

  155. <p>Finite field operations. </p>
    156. 

  156. <p>provides APIs for working with finite fields. Finite fields allow simple mathematical operations based on a finite set of discrete values. The results of these operations are also contained in the same set.</p>
    157. 

  157. <p>A simple example of a finite field is all integers from zero that are less than a given value.</p>
    158. 

  158. <p>The elements (<a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa" title="An element in a finite field. ">FfElement</a>) of a finite field can be used in a variety of simple mathematical operations that result in elements of the same field. </p>
    159. 

  159. <h2 class="groupheader">Function Documentation</h2>
    160. 

  160. <a class="anchor" id="ga1bad3c6945d1d709fceb07a1dd03000e"></a>
    161. 

  161. <div class="memitem">
    162. 

  162. <div class="memproto">
    163. 

  163.       <table class="memname">
    164. 

  164.         <tr>
    165. 

  165.           <td class="memname">void DeleteFfElement </td>
    166. 

  166.           <td>(</td>
    167. 

  167.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> **&#160;</td>
    168. 

  168.           <td class="paramname"><em>ff_elem</em></td><td>)</td>
    169. 

  169.           <td></td>
    170. 

  170.         </tr>
    171. 

  171.       </table>
    172. 

  172. </div><div class="memdoc">
    173. 

  173. 

  174. <p>Frees a previously allocated FfElement. </p>
    175. 

  175. <p>Frees memory pointed to by ff_elem. Nulls the pointer.</p>
    176. 

  176. <dl class="params"><dt>Parameters</dt><dd>
    177. 

  177.   <table class="params">
    178. 

  178.     <tr><td class="paramdir">[in]</td><td class="paramname">ff_elem</td><td>The finite field element. Can be NULL.</td></tr>
    179. 

  179.   </table>
    180. 

  180.   </dd>
    181. 

  181. </dl>
    182. 

  182. <dl class="section see"><dt>See also</dt><dd><a class="el" href="group___finite_field_primitives.html#gacc54f315ede2dbeb8c5990c024a0de6c" title="Creates a new finite field element. ">NewFfElement</a> </dd></dl>
    183. 

  183. 

  184. </div>
    185. 

  185. </div>
    186. 

  186. <a class="anchor" id="gacbdd2871ecf93dadaac9d2c5b16e1e5f"></a>
    187. 

  187. <div class="memitem">
    188. 

  188. <div class="memproto">
    189. 

  189.       <table class="memname">
    190. 

  190.         <tr>
    191. 

  191.           <td class="memname">void DeleteFiniteField </td>
    192. 

  192.           <td>(</td>
    193. 

  193.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> **&#160;</td>
    194. 

  194.           <td class="paramname"><em>ff</em></td><td>)</td>
    195. 

  195.           <td></td>
    196. 

  196.         </tr>
    197. 

  197.       </table>
    198. 

  198. </div><div class="memdoc">
    199. 

  199. 

  200. <p>Frees a previously allocated FiniteField. </p>
    201. 

  201. <p>Frees memory pointed to by finite field. Nulls the pointer.</p>
    202. 

  202. <dl class="params"><dt>Parameters</dt><dd>
    203. 

  203.   <table class="params">
    204. 

  204.     <tr><td class="paramdir">[in]</td><td class="paramname">ff</td><td>The Finite field. Can be NULL.</td></tr>
    205. 

  205.   </table>
    206. 

  206.   </dd>
    207. 

  207. </dl>
    208. 

  208. <dl class="section see"><dt>See also</dt><dd><a class="el" href="group___finite_field_primitives.html#ga7d99fdc5e4573668a5744e49df7ab67c" title="Creates new finite field. ">NewFiniteField</a> </dd></dl>
    209. 

  209. 

  210. </div>
    211. 

  211. </div>
    212. 

  212. <a class="anchor" id="ga1a6e6d3c2319bb24eae8670b021e223b"></a>
    213. 

  213. <div class="memitem">
    214. 

  214. <div class="memproto">
    215. 

  215.       <table class="memname">
    216. 

  216.         <tr>
    217. 

  217.           <td class="memname"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a> FfAdd </td>
    218. 

  218.           <td>(</td>
    219. 

  219.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> *&#160;</td>
    220. 

  220.           <td class="paramname"><em>ff</em>, </td>
    221. 

  221.         </tr>
    222. 

  222.         <tr>
    223. 

  223.           <td class="paramkey"></td>
    224. 

  224.           <td></td>
    225. 

  225.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> const *&#160;</td>
    226. 

  226.           <td class="paramname"><em>a</em>, </td>
    227. 

  227.         </tr>
    228. 

  228.         <tr>
    229. 

  229.           <td class="paramkey"></td>
    230. 

  230.           <td></td>
    231. 

  231.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> const *&#160;</td>
    232. 

  232.           <td class="paramname"><em>b</em>, </td>
    233. 

  233.         </tr>
    234. 

  234.         <tr>
    235. 

  235.           <td class="paramkey"></td>
    236. 

  236.           <td></td>
    237. 

  237.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> *&#160;</td>
    238. 

  238.           <td class="paramname"><em>r</em>&#160;</td>
    239. 

  239.         </tr>
    240. 

  240.         <tr>
    241. 

  241.           <td></td>
    242. 

  242.           <td>)</td>
    243. 

  243.           <td></td><td></td>
    244. 

  244.         </tr>
    245. 

  245.       </table>
    246. 

  246. </div><div class="memdoc">
    247. 

  247. 

  248. <p>Adds two finite field elements. </p>
    249. 

  249. <dl class="params"><dt>Parameters</dt><dd>
    250. 

  250.   <table class="params">
    251. 

  251.     <tr><td class="paramdir">[in]</td><td class="paramname">ff</td><td>The finite field. </td></tr>
    252. 

  252.     <tr><td class="paramdir">[out]</td><td class="paramname">a</td><td>The first operand to be added. </td></tr>
    253. 

  253.     <tr><td class="paramdir">[out]</td><td class="paramname">b</td><td>The second operand to be added. </td></tr>
    254. 

  254.     <tr><td class="paramdir">[out]</td><td class="paramname">r</td><td>The result of adding a and b.</td></tr>
    255. 

  255.   </table>
    256. 

  256.   </dd>
    257. 

  257. </dl>
    258. 

  258. <dl class="section return"><dt>Returns</dt><dd><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360" title="Return status for SDK functions. ">EpidStatus</a> </dd></dl>
    259. 

  259. 

  260. </div>
    261. 

  261. </div>
    262. 

  262. <a class="anchor" id="gaf0ddbc1bad048d67771cba119eb44a6c"></a>
    263. 

  263. <div class="memitem">
    264. 

  264. <div class="memproto">
    265. 

  265.       <table class="memname">
    266. 

  266.         <tr>
    267. 

  267.           <td class="memname"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a> FfExp </td>
    268. 

  268.           <td>(</td>
    269. 

  269.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> *&#160;</td>
    270. 

  270.           <td class="paramname"><em>ff</em>, </td>
    271. 

  271.         </tr>
    272. 

  272.         <tr>
    273. 

  273.           <td class="paramkey"></td>
    274. 

  274.           <td></td>
    275. 

  275.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> const *&#160;</td>
    276. 

  276.           <td class="paramname"><em>a</em>, </td>
    277. 

  277.         </tr>
    278. 

  278.         <tr>
    279. 

  279.           <td class="paramkey"></td>
    280. 

  280.           <td></td>
    281. 

  281.           <td class="paramtype"><a class="el" href="group___big_num_primitives.html#ga2bf153e27be2683f0fb26f0f7ff1f718">BigNum</a> const *&#160;</td>
    282. 

  282.           <td class="paramname"><em>b</em>, </td>
    283. 

  283.         </tr>
    284. 

  284.         <tr>
    285. 

  285.           <td class="paramkey"></td>
    286. 

  286.           <td></td>
    287. 

  287.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> *&#160;</td>
    288. 

  288.           <td class="paramname"><em>r</em>&#160;</td>
    289. 

  289.         </tr>
    290. 

  290.         <tr>
    291. 

  291.           <td></td>
    292. 

  292.           <td>)</td>
    293. 

  293.           <td></td><td></td>
    294. 

  294.         </tr>
    295. 

  295.       </table>
    296. 

  296. </div><div class="memdoc">
    297. 

  297. 

  298. <p>Raises an element of a finite field to a power. </p>
    299. 

  299. <dl class="params"><dt>Parameters</dt><dd>
    300. 

  300.   <table class="params">
    301. 

  301.     <tr><td class="paramdir">[in]</td><td class="paramname">ff</td><td>The finite field in which to perform the operation </td></tr>
    302. 

  302.     <tr><td class="paramdir">[in]</td><td class="paramname">a</td><td>The base. </td></tr>
    303. 

  303.     <tr><td class="paramdir">[in]</td><td class="paramname">b</td><td>The power. </td></tr>
    304. 

  304.     <tr><td class="paramdir">[out]</td><td class="paramname">r</td><td>The result of raising a to the power b.</td></tr>
    305. 

  305.   </table>
    306. 

  306.   </dd>
    307. 

  307. </dl>
    308. 

  308. <dl class="section return"><dt>Returns</dt><dd><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360" title="Return status for SDK functions. ">EpidStatus</a></dd></dl>
    309. 

  309. <dl class="section see"><dt>See also</dt><dd><a class="el" href="group___finite_field_primitives.html#ga7d99fdc5e4573668a5744e49df7ab67c" title="Creates new finite field. ">NewFiniteField</a> </dd>
    310. 

  310. <dd>
    311. 

  311. <a class="el" href="group___finite_field_primitives.html#gacc54f315ede2dbeb8c5990c024a0de6c" title="Creates a new finite field element. ">NewFfElement</a> </dd></dl>
    312. 

  312. 

  313. </div>
    314. 

  314. </div>
    315. 

  315. <a class="anchor" id="ga6622db072782fd9e53b4d59dd3dbd8e8"></a>
    316. 

  316. <div class="memitem">
    317. 

  317. <div class="memproto">
    318. 

  318.       <table class="memname">
    319. 

  319.         <tr>
    320. 

  320.           <td class="memname"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a> FfGetRandom </td>
    321. 

  321.           <td>(</td>
    322. 

  322.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> *&#160;</td>
    323. 

  323.           <td class="paramname"><em>ff</em>, </td>
    324. 

  324.         </tr>
    325. 

  325.         <tr>
    326. 

  326.           <td class="paramkey"></td>
    327. 

  327.           <td></td>
    328. 

  328.           <td class="paramtype"><a class="el" href="struct_big_num_str.html">BigNumStr</a> const *&#160;</td>
    329. 

  329.           <td class="paramname"><em>low_bound</em>, </td>
    330. 

  330.         </tr>
    331. 

  331.         <tr>
    332. 

  332.           <td class="paramkey"></td>
    333. 

  333.           <td></td>
    334. 

  334.           <td class="paramtype"><a class="el" href="group___epid_common.html#ga6119a2c0323a3fca9e502b24bc378c2c">BitSupplier</a>&#160;</td>
    335. 

  335.           <td class="paramname"><em>rnd_func</em>, </td>
    336. 

  336.         </tr>
    337. 

  337.         <tr>
    338. 

  338.           <td class="paramkey"></td>
    339. 

  339.           <td></td>
    340. 

  340.           <td class="paramtype">void *&#160;</td>
    341. 

  341.           <td class="paramname"><em>rnd_param</em>, </td>
    342. 

  342.         </tr>
    343. 

  343.         <tr>
    344. 

  344.           <td class="paramkey"></td>
    345. 

  345.           <td></td>
    346. 

  346.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> *&#160;</td>
    347. 

  347.           <td class="paramname"><em>r</em>&#160;</td>
    348. 

  348.         </tr>
    349. 

  349.         <tr>
    350. 

  350.           <td></td>
    351. 

  351.           <td>)</td>
    352. 

  352.           <td></td><td></td>
    353. 

  353.         </tr>
    354. 

  354.       </table>
    355. 

  355. </div><div class="memdoc">
    356. 

  356. 

  357. <p>Generate random finite field element. </p>
    358. 

  358. <dl class="params"><dt>Parameters</dt><dd>
    359. 

  359.   <table class="params">
    360. 

  360.     <tr><td class="paramdir">[in]</td><td class="paramname">ff</td><td>The finite field associated with the random finite field element. </td></tr>
    361. 

  361.     <tr><td class="paramdir">[in]</td><td class="paramname">low_bound</td><td>Lower bound of the random finite field to be generated. </td></tr>
    362. 

  362.     <tr><td class="paramdir">[in]</td><td class="paramname">rnd_func</td><td>Random number generator. </td></tr>
    363. 

  363.     <tr><td class="paramdir">[in]</td><td class="paramname">rnd_param</td><td>Pass through context data for rnd_func. </td></tr>
    364. 

  364.     <tr><td class="paramdir">[in,out]</td><td class="paramname">r</td><td>The random finite field element.</td></tr>
    365. 

  365.   </table>
    366. 

  366.   </dd>
    367. 

  367. </dl>
    368. 

  368. <dl class="section return"><dt>Returns</dt><dd><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360" title="Return status for SDK functions. ">EpidStatus</a></dd></dl>
    369. 

  369. <dl class="retval"><dt>Return values</dt><dd>
    370. 

  370.   <table class="retval">
    371. 

  371.     <tr><td class="paramname"><a class="el" href="group___error_codes.html#ggafdb27c77c2c4b32c807e326a8a0da360a61234ad9610406da6bf7977afd72a357" title="reached max iteration for random number generation ">kEpidRandMaxIterErr</a></td><td>the function should be called again with different random data.</td></tr>
    372. 

  372.   </table>
    373. 

  373.   </dd>
    374. 

  374. </dl>
    375. 

  375. <dl class="section see"><dt>See also</dt><dd><a class="el" href="group___finite_field_primitives.html#gacc54f315ede2dbeb8c5990c024a0de6c" title="Creates a new finite field element. ">NewFfElement</a> </dd>
    376. 

  376. <dd>
    377. 

  377. <a class="el" href="group___epid_common.html#ga6119a2c0323a3fca9e502b24bc378c2c" title="Generates random data. ">BitSupplier</a> </dd></dl>
    378. 

  378. 

  379. </div>
    380. 

  380. </div>
    381. 

  381. <a class="anchor" id="ga18a952cebb4a1274c73e6cb0c19e8aea"></a>
    382. 

  382. <div class="memitem">
    383. 

  383. <div class="memproto">
    384. 

  384.       <table class="memname">
    385. 

  385.         <tr>
    386. 

  386.           <td class="memname"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a> FfHash </td>
    387. 

  387.           <td>(</td>
    388. 

  388.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> *&#160;</td>
    389. 

  389.           <td class="paramname"><em>ff</em>, </td>
    390. 

  390.         </tr>
    391. 

  391.         <tr>
    392. 

  392.           <td class="paramkey"></td>
    393. 

  393.           <td></td>
    394. 

  394.           <td class="paramtype">void const *&#160;</td>
    395. 

  395.           <td class="paramname"><em>msg</em>, </td>
    396. 

  396.         </tr>
    397. 

  397.         <tr>
    398. 

  398.           <td class="paramkey"></td>
    399. 

  399.           <td></td>
    400. 

  400.           <td class="paramtype">size_t&#160;</td>
    401. 

  401.           <td class="paramname"><em>msg_len</em>, </td>
    402. 

  402.         </tr>
    403. 

  403.         <tr>
    404. 

  404.           <td class="paramkey"></td>
    405. 

  405.           <td></td>
    406. 

  406.           <td class="paramtype"><a class="el" href="group___epid_types.html#ga5e450438f6f9a5eacd0cf5ce354ec890">HashAlg</a>&#160;</td>
    407. 

  407.           <td class="paramname"><em>hash_alg</em>, </td>
    408. 

  408.         </tr>
    409. 

  409.         <tr>
    410. 

  410.           <td class="paramkey"></td>
    411. 

  411.           <td></td>
    412. 

  412.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> *&#160;</td>
    413. 

  413.           <td class="paramname"><em>r</em>&#160;</td>
    414. 

  414.         </tr>
    415. 

  415.         <tr>
    416. 

  416.           <td></td>
    417. 

  417.           <td>)</td>
    418. 

  418.           <td></td><td></td>
    419. 

  419.         </tr>
    420. 

  420.       </table>
    421. 

  421. </div><div class="memdoc">
    422. 

  422. 

  423. <p>Hashes an arbitrary message to an element in a finite field. </p>
    424. 

  424. <dl class="params"><dt>Parameters</dt><dd>
    425. 

  425.   <table class="params">
    426. 

  426.     <tr><td class="paramdir">[in]</td><td class="paramname">ff</td><td>The finite field. </td></tr>
    427. 

  427.     <tr><td class="paramdir">[in]</td><td class="paramname">msg</td><td>The message. </td></tr>
    428. 

  428.     <tr><td class="paramdir">[in]</td><td class="paramname">msg_len</td><td>The size of msg in bytes. </td></tr>
    429. 

  429.     <tr><td class="paramdir">[in]</td><td class="paramname">hash_alg</td><td>The hash algorithm. </td></tr>
    430. 

  430.     <tr><td class="paramdir">[out]</td><td class="paramname">r</td><td>The hashed value.</td></tr>
    431. 

  431.   </table>
    432. 

  432.   </dd>
    433. 

  433. </dl>
    434. 

  434. <dl class="section return"><dt>Returns</dt><dd><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360" title="Return status for SDK functions. ">EpidStatus</a></dd></dl>
    435. 

  435. <dl class="section see"><dt>See also</dt><dd><a class="el" href="group___finite_field_primitives.html#ga7d99fdc5e4573668a5744e49df7ab67c" title="Creates new finite field. ">NewFiniteField</a> </dd>
    436. 

  436. <dd>
    437. 

  437. <a class="el" href="group___finite_field_primitives.html#gacc54f315ede2dbeb8c5990c024a0de6c" title="Creates a new finite field element. ">NewFfElement</a> </dd></dl>
    438. 

  438. 

  439. </div>
    440. 

  440. </div>
    441. 

  441. <a class="anchor" id="ga26069d035d0f6ade33af2b5d5c14949a"></a>
    442. 

  442. <div class="memitem">
    443. 

  443. <div class="memproto">
    444. 

  444.       <table class="memname">
    445. 

  445.         <tr>
    446. 

  446.           <td class="memname"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a> FfInv </td>
    447. 

  447.           <td>(</td>
    448. 

  448.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> *&#160;</td>
    449. 

  449.           <td class="paramname"><em>ff</em>, </td>
    450. 

  450.         </tr>
    451. 

  451.         <tr>
    452. 

  452.           <td class="paramkey"></td>
    453. 

  453.           <td></td>
    454. 

  454.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> const *&#160;</td>
    455. 

  455.           <td class="paramname"><em>a</em>, </td>
    456. 

  456.         </tr>
    457. 

  457.         <tr>
    458. 

  458.           <td class="paramkey"></td>
    459. 

  459.           <td></td>
    460. 

  460.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> *&#160;</td>
    461. 

  461.           <td class="paramname"><em>r</em>&#160;</td>
    462. 

  462.         </tr>
    463. 

  463.         <tr>
    464. 

  464.           <td></td>
    465. 

  465.           <td>)</td>
    466. 

  466.           <td></td><td></td>
    467. 

  467.         </tr>
    468. 

  468.       </table>
    469. 

  469. </div><div class="memdoc">
    470. 

  470. 

  471. <p>Calculates the multiplicative inverse of a finite field element. </p>
    472. 

  472. <dl class="params"><dt>Parameters</dt><dd>
    473. 

  473.   <table class="params">
    474. 

  474.     <tr><td class="paramdir">[in]</td><td class="paramname">ff</td><td>The finite field. </td></tr>
    475. 

  475.     <tr><td class="paramdir">[in]</td><td class="paramname">a</td><td>The element. </td></tr>
    476. 

  476.     <tr><td class="paramdir">[out]</td><td class="paramname">r</td><td>The inverted element.</td></tr>
    477. 

  477.   </table>
    478. 

  478.   </dd>
    479. 

  479. </dl>
    480. 

  480. <dl class="section return"><dt>Returns</dt><dd><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360" title="Return status for SDK functions. ">EpidStatus</a></dd></dl>
    481. 

  481. <dl class="section see"><dt>See also</dt><dd><a class="el" href="group___finite_field_primitives.html#ga7d99fdc5e4573668a5744e49df7ab67c" title="Creates new finite field. ">NewFiniteField</a> </dd>
    482. 

  482. <dd>
    483. 

  483. <a class="el" href="group___finite_field_primitives.html#gacc54f315ede2dbeb8c5990c024a0de6c" title="Creates a new finite field element. ">NewFfElement</a> </dd></dl>
    484. 

  484. 

  485. </div>
    486. 

  486. </div>
    487. 

  487. <a class="anchor" id="gaed2acb8583e9c9f6b49fdb660c672625"></a>
    488. 

  488. <div class="memitem">
    489. 

  489. <div class="memproto">
    490. 

  490.       <table class="memname">
    491. 

  491.         <tr>
    492. 

  492.           <td class="memname"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a> FfIsEqual </td>
    493. 

  493.           <td>(</td>
    494. 

  494.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> *&#160;</td>
    495. 

  495.           <td class="paramname"><em>ff</em>, </td>
    496. 

  496.         </tr>
    497. 

  497.         <tr>
    498. 

  498.           <td class="paramkey"></td>
    499. 

  499.           <td></td>
    500. 

  500.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> const *&#160;</td>
    501. 

  501.           <td class="paramname"><em>a</em>, </td>
    502. 

  502.         </tr>
    503. 

  503.         <tr>
    504. 

  504.           <td class="paramkey"></td>
    505. 

  505.           <td></td>
    506. 

  506.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> const *&#160;</td>
    507. 

  507.           <td class="paramname"><em>b</em>, </td>
    508. 

  508.         </tr>
    509. 

  509.         <tr>
    510. 

  510.           <td class="paramkey"></td>
    511. 

  511.           <td></td>
    512. 

  512.           <td class="paramtype"><a class="el" href="stdtypes_8h.html#ad5c9d4ba3dc37783a528b0925dc981a0">bool</a> *&#160;</td>
    513. 

  513.           <td class="paramname"><em>is_equal</em>&#160;</td>
    514. 

  514.         </tr>
    515. 

  515.         <tr>
    516. 

  516.           <td></td>
    517. 

  517.           <td>)</td>
    518. 

  518.           <td></td><td></td>
    519. 

  519.         </tr>
    520. 

  520.       </table>
    521. 

  521. </div><div class="memdoc">
    522. 

  522. 

  523. <p>Checks if two finite field elements are equal. </p>
    524. 

  524. <dl class="params"><dt>Parameters</dt><dd>
    525. 

  525.   <table class="params">
    526. 

  526.     <tr><td class="paramdir">[in]</td><td class="paramname">ff</td><td>The finite field. </td></tr>
    527. 

  527.     <tr><td class="paramdir">[in]</td><td class="paramname">a</td><td>An element to check. </td></tr>
    528. 

  528.     <tr><td class="paramdir">[in]</td><td class="paramname">b</td><td>Another element to check. </td></tr>
    529. 

  529.     <tr><td class="paramdir">[out]</td><td class="paramname">is_equal</td><td>The result of the check.</td></tr>
    530. 

  530.   </table>
    531. 

  531.   </dd>
    532. 

  532. </dl>
    533. 

  533. <dl class="section return"><dt>Returns</dt><dd><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360" title="Return status for SDK functions. ">EpidStatus</a></dd></dl>
    534. 

  534. <dl class="section see"><dt>See also</dt><dd><a class="el" href="group___ec_group_primitives.html#gaf4e23677dd378ef2e0cf55df79cbdb62" title="Constructs a new EcGroup. ">NewEcGroup</a> </dd>
    535. 

  535. <dd>
    536. 

  536. <a class="el" href="group___ec_group_primitives.html#ga6417b0ce72ba96de00c329e322fec7fb" title="Creates a new EcPoint. ">NewEcPoint</a> </dd></dl>
    537. 

  537. 

  538. </div>
    539. 

  539. </div>
    540. 

  540. <a class="anchor" id="ga20d9140e5670d679ef8183d9b5115f53"></a>
    541. 

  541. <div class="memitem">
    542. 

  542. <div class="memproto">
    543. 

  543.       <table class="memname">
    544. 

  544.         <tr>
    545. 

  545.           <td class="memname"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a> FfIsZero </td>
    546. 

  546.           <td>(</td>
    547. 

  547.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> *&#160;</td>
    548. 

  548.           <td class="paramname"><em>ff</em>, </td>
    549. 

  549.         </tr>
    550. 

  550.         <tr>
    551. 

  551.           <td class="paramkey"></td>
    552. 

  552.           <td></td>
    553. 

  553.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> const *&#160;</td>
    554. 

  554.           <td class="paramname"><em>a</em>, </td>
    555. 

  555.         </tr>
    556. 

  556.         <tr>
    557. 

  557.           <td class="paramkey"></td>
    558. 

  558.           <td></td>
    559. 

  559.           <td class="paramtype"><a class="el" href="stdtypes_8h.html#ad5c9d4ba3dc37783a528b0925dc981a0">bool</a> *&#160;</td>
    560. 

  560.           <td class="paramname"><em>is_zero</em>&#160;</td>
    561. 

  561.         </tr>
    562. 

  562.         <tr>
    563. 

  563.           <td></td>
    564. 

  564.           <td>)</td>
    565. 

  565.           <td></td><td></td>
    566. 

  566.         </tr>
    567. 

  567.       </table>
    568. 

  568. </div><div class="memdoc">
    569. 

  569. 

  570. <p>Checks if given finite field element is the additive identity (zero). </p>
    571. 

  571. <dl class="params"><dt>Parameters</dt><dd>
    572. 

  572.   <table class="params">
    573. 

  573.     <tr><td class="paramdir">[in]</td><td class="paramname">ff</td><td>The finite field. </td></tr>
    574. 

  574.     <tr><td class="paramdir">[out]</td><td class="paramname">a</td><td>The element. </td></tr>
    575. 

  575.     <tr><td class="paramdir">[out]</td><td class="paramname">is_zero</td><td>The result of the check.</td></tr>
    576. 

  576.   </table>
    577. 

  577.   </dd>
    578. 

  578. </dl>
    579. 

  579. <dl class="section return"><dt>Returns</dt><dd><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360" title="Return status for SDK functions. ">EpidStatus</a></dd></dl>
    580. 

  580. <dl class="section see"><dt>See also</dt><dd><a class="el" href="group___finite_field_primitives.html#ga7d99fdc5e4573668a5744e49df7ab67c" title="Creates new finite field. ">NewFiniteField</a> </dd>
    581. 

  581. <dd>
    582. 

  582. <a class="el" href="group___finite_field_primitives.html#gacc54f315ede2dbeb8c5990c024a0de6c" title="Creates a new finite field element. ">NewFfElement</a> </dd></dl>
    583. 

  583. 

  584. </div>
    585. 

  585. </div>
    586. 

  586. <a class="anchor" id="ga4613a75bd001a974b3e3e494c3a112a5"></a>
    587. 

  587. <div class="memitem">
    588. 

  588. <div class="memproto">
    589. 

  589.       <table class="memname">
    590. 

  590.         <tr>
    591. 

  591.           <td class="memname"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a> FfMul </td>
    592. 

  592.           <td>(</td>
    593. 

  593.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> *&#160;</td>
    594. 

  594.           <td class="paramname"><em>ff</em>, </td>
    595. 

  595.         </tr>
    596. 

  596.         <tr>
    597. 

  597.           <td class="paramkey"></td>
    598. 

  598.           <td></td>
    599. 

  599.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> const *&#160;</td>
    600. 

  600.           <td class="paramname"><em>a</em>, </td>
    601. 

  601.         </tr>
    602. 

  602.         <tr>
    603. 

  603.           <td class="paramkey"></td>
    604. 

  604.           <td></td>
    605. 

  605.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> const *&#160;</td>
    606. 

  606.           <td class="paramname"><em>b</em>, </td>
    607. 

  607.         </tr>
    608. 

  608.         <tr>
    609. 

  609.           <td class="paramkey"></td>
    610. 

  610.           <td></td>
    611. 

  611.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> *&#160;</td>
    612. 

  612.           <td class="paramname"><em>r</em>&#160;</td>
    613. 

  613.         </tr>
    614. 

  614.         <tr>
    615. 

  615.           <td></td>
    616. 

  616.           <td>)</td>
    617. 

  617.           <td></td><td></td>
    618. 

  618.         </tr>
    619. 

  619.       </table>
    620. 

  620. </div><div class="memdoc">
    621. 

  621. 

  622. <p>Multiplies two finite field elements. </p>
    623. 

  623. <dl class="params"><dt>Parameters</dt><dd>
    624. 

  624.   <table class="params">
    625. 

  625.     <tr><td class="paramdir">[in]</td><td class="paramname">ff</td><td>The finite field. </td></tr>
    626. 

  626.     <tr><td class="paramdir">[out]</td><td class="paramname">a</td><td>The first operand to be multplied. </td></tr>
    627. 

  627.     <tr><td class="paramdir">[out]</td><td class="paramname">b</td><td>The second operand to be multiplied. If ff is an extension field of a field F then this parameter may be an element of either ff or F. </td></tr>
    628. 

  628.     <tr><td class="paramdir">[out]</td><td class="paramname">r</td><td>The result of multiplying a and b.</td></tr>
    629. 

  629.   </table>
    630. 

  630.   </dd>
    631. 

  631. </dl>
    632. 

  632. <dl class="section return"><dt>Returns</dt><dd><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360" title="Return status for SDK functions. ">EpidStatus</a></dd></dl>
    633. 

  633. <dl class="section see"><dt>See also</dt><dd><a class="el" href="group___finite_field_primitives.html#ga7d99fdc5e4573668a5744e49df7ab67c" title="Creates new finite field. ">NewFiniteField</a> </dd>
    634. 

  634. <dd>
    635. 

  635. <a class="el" href="group___finite_field_primitives.html#gacc54f315ede2dbeb8c5990c024a0de6c" title="Creates a new finite field element. ">NewFfElement</a> </dd></dl>
    636. 

  636. 

  637. </div>
    638. 

  638. </div>
    639. 

  639. <a class="anchor" id="ga84d21decc1c957bcf6e98e1492eb2ac3"></a>
    640. 

  640. <div class="memitem">
    641. 

  641. <div class="memproto">
    642. 

  642.       <table class="memname">
    643. 

  643.         <tr>
    644. 

  644.           <td class="memname"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a> FfMultiExp </td>
    645. 

  645.           <td>(</td>
    646. 

  646.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> *&#160;</td>
    647. 

  647.           <td class="paramname"><em>ff</em>, </td>
    648. 

  648.         </tr>
    649. 

  649.         <tr>
    650. 

  650.           <td class="paramkey"></td>
    651. 

  651.           <td></td>
    652. 

  652.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> const **&#160;</td>
    653. 

  653.           <td class="paramname"><em>a</em>, </td>
    654. 

  654.         </tr>
    655. 

  655.         <tr>
    656. 

  656.           <td class="paramkey"></td>
    657. 

  657.           <td></td>
    658. 

  658.           <td class="paramtype"><a class="el" href="struct_big_num_str.html">BigNumStr</a> const **&#160;</td>
    659. 

  659.           <td class="paramname"><em>b</em>, </td>
    660. 

  660.         </tr>
    661. 

  661.         <tr>
    662. 

  662.           <td class="paramkey"></td>
    663. 

  663.           <td></td>
    664. 

  664.           <td class="paramtype">size_t&#160;</td>
    665. 

  665.           <td class="paramname"><em>m</em>, </td>
    666. 

  666.         </tr>
    667. 

  667.         <tr>
    668. 

  668.           <td class="paramkey"></td>
    669. 

  669.           <td></td>
    670. 

  670.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> *&#160;</td>
    671. 

  671.           <td class="paramname"><em>r</em>&#160;</td>
    672. 

  672.         </tr>
    673. 

  673.         <tr>
    674. 

  674.           <td></td>
    675. 

  675.           <td>)</td>
    676. 

  676.           <td></td><td></td>
    677. 

  677.         </tr>
    678. 

  678.       </table>
    679. 

  679. </div><div class="memdoc">
    680. 

  680. 

  681. <p>Multi-exponentiates finite field elements. </p>
    682. 

  682. <p>Calculates FfExp(p[0],b[0]) * ... * FfExp(p[m-1],b[m-1]) for m &gt; 1</p>
    683. 

  683. <dl class="params"><dt>Parameters</dt><dd>
    684. 

  684.   <table class="params">
    685. 

  685.     <tr><td class="paramdir">[in]</td><td class="paramname">ff</td><td>The finite field in which to perform the operation </td></tr>
    686. 

  686.     <tr><td class="paramdir">[in]</td><td class="paramname">a</td><td>The bases. </td></tr>
    687. 

  687.     <tr><td class="paramdir">[in]</td><td class="paramname">b</td><td>The powers. </td></tr>
    688. 

  688.     <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>Number of entries in a and b. </td></tr>
    689. 

  689.     <tr><td class="paramdir">[out]</td><td class="paramname">r</td><td>The result of raising each a to the corresponding power b and multiplying the results.</td></tr>
    690. 

  690.   </table>
    691. 

  691.   </dd>
    692. 

  692. </dl>
    693. 

  693. <dl class="section return"><dt>Returns</dt><dd><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360" title="Return status for SDK functions. ">EpidStatus</a></dd></dl>
    694. 

  694. <dl class="section see"><dt>See also</dt><dd><a class="el" href="group___finite_field_primitives.html#ga7d99fdc5e4573668a5744e49df7ab67c" title="Creates new finite field. ">NewFiniteField</a> </dd>
    695. 

  695. <dd>
    696. 

  696. <a class="el" href="group___finite_field_primitives.html#gacc54f315ede2dbeb8c5990c024a0de6c" title="Creates a new finite field element. ">NewFfElement</a> </dd></dl>
    697. 

  697. 

  698. </div>
    699. 

  699. </div>
    700. 

  700. <a class="anchor" id="ga1ef46fc83f9c11263a2aa1ec906c9144"></a>
    701. 

  701. <div class="memitem">
    702. 

  702. <div class="memproto">
    703. 

  703.       <table class="memname">
    704. 

  704.         <tr>
    705. 

  705.           <td class="memname"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a> FfMultiExpBn </td>
    706. 

  706.           <td>(</td>
    707. 

  707.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> *&#160;</td>
    708. 

  708.           <td class="paramname"><em>ff</em>, </td>
    709. 

  709.         </tr>
    710. 

  710.         <tr>
    711. 

  711.           <td class="paramkey"></td>
    712. 

  712.           <td></td>
    713. 

  713.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> const **&#160;</td>
    714. 

  714.           <td class="paramname"><em>a</em>, </td>
    715. 

  715.         </tr>
    716. 

  716.         <tr>
    717. 

  717.           <td class="paramkey"></td>
    718. 

  718.           <td></td>
    719. 

  719.           <td class="paramtype"><a class="el" href="group___big_num_primitives.html#ga2bf153e27be2683f0fb26f0f7ff1f718">BigNum</a> const **&#160;</td>
    720. 

  720.           <td class="paramname"><em>b</em>, </td>
    721. 

  721.         </tr>
    722. 

  722.         <tr>
    723. 

  723.           <td class="paramkey"></td>
    724. 

  724.           <td></td>
    725. 

  725.           <td class="paramtype">size_t&#160;</td>
    726. 

  726.           <td class="paramname"><em>m</em>, </td>
    727. 

  727.         </tr>
    728. 

  728.         <tr>
    729. 

  729.           <td class="paramkey"></td>
    730. 

  730.           <td></td>
    731. 

  731.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> *&#160;</td>
    732. 

  732.           <td class="paramname"><em>r</em>&#160;</td>
    733. 

  733.         </tr>
    734. 

  734.         <tr>
    735. 

  735.           <td></td>
    736. 

  736.           <td>)</td>
    737. 

  737.           <td></td><td></td>
    738. 

  738.         </tr>
    739. 

  739.       </table>
    740. 

  740. </div><div class="memdoc">
    741. 

  741. 

  742. <p>Multi-exponentiates finite field elements. </p>
    743. 

  743. <p>Calculates FfExp(p[0],b[0]) * ... * FfExp(p[m-1],b[m-1]) for m &gt; 1</p>
    744. 

  744. <dl class="params"><dt>Parameters</dt><dd>
    745. 

  745.   <table class="params">
    746. 

  746.     <tr><td class="paramdir">[in]</td><td class="paramname">ff</td><td>The finite field in which to perform the operation </td></tr>
    747. 

  747.     <tr><td class="paramdir">[in]</td><td class="paramname">a</td><td>The bases. </td></tr>
    748. 

  748.     <tr><td class="paramdir">[in]</td><td class="paramname">b</td><td>The powers. </td></tr>
    749. 

  749.     <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>Number of entries in a and b. </td></tr>
    750. 

  750.     <tr><td class="paramdir">[out]</td><td class="paramname">r</td><td>The result of raising each a to the corresponding power b and multiplying the results.</td></tr>
    751. 

  751.   </table>
    752. 

  752.   </dd>
    753. 

  753. </dl>
    754. 

  754. <dl class="section return"><dt>Returns</dt><dd><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360" title="Return status for SDK functions. ">EpidStatus</a></dd></dl>
    755. 

  755. <dl class="section see"><dt>See also</dt><dd><a class="el" href="group___finite_field_primitives.html#ga7d99fdc5e4573668a5744e49df7ab67c" title="Creates new finite field. ">NewFiniteField</a> </dd>
    756. 

  756. <dd>
    757. 

  757. <a class="el" href="group___finite_field_primitives.html#gacc54f315ede2dbeb8c5990c024a0de6c" title="Creates a new finite field element. ">NewFfElement</a> </dd></dl>
    758. 

  758. 

  759. </div>
    760. 

  760. </div>
    761. 

  761. <a class="anchor" id="gae7a8c7503b6fc7a41bcaab4d45ca37b2"></a>
    762. 

  762. <div class="memitem">
    763. 

  763. <div class="memproto">
    764. 

  764.       <table class="memname">
    765. 

  765.         <tr>
    766. 

  766.           <td class="memname"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a> FfNeg </td>
    767. 

  767.           <td>(</td>
    768. 

  768.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> *&#160;</td>
    769. 

  769.           <td class="paramname"><em>ff</em>, </td>
    770. 

  770.         </tr>
    771. 

  771.         <tr>
    772. 

  772.           <td class="paramkey"></td>
    773. 

  773.           <td></td>
    774. 

  774.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> const *&#160;</td>
    775. 

  775.           <td class="paramname"><em>a</em>, </td>
    776. 

  776.         </tr>
    777. 

  777.         <tr>
    778. 

  778.           <td class="paramkey"></td>
    779. 

  779.           <td></td>
    780. 

  780.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> *&#160;</td>
    781. 

  781.           <td class="paramname"><em>r</em>&#160;</td>
    782. 

  782.         </tr>
    783. 

  783.         <tr>
    784. 

  784.           <td></td>
    785. 

  785.           <td>)</td>
    786. 

  786.           <td></td><td></td>
    787. 

  787.         </tr>
    788. 

  788.       </table>
    789. 

  789. </div><div class="memdoc">
    790. 

  790. 

  791. <p>Calculates the additive inverse of a finite field element. </p>
    792. 

  792. <dl class="params"><dt>Parameters</dt><dd>
    793. 

  793.   <table class="params">
    794. 

  794.     <tr><td class="paramdir">[in]</td><td class="paramname">ff</td><td>The finite field. </td></tr>
    795. 

  795.     <tr><td class="paramdir">[in]</td><td class="paramname">a</td><td>The element. </td></tr>
    796. 

  796.     <tr><td class="paramdir">[out]</td><td class="paramname">r</td><td>The inverted element.</td></tr>
    797. 

  797.   </table>
    798. 

  798.   </dd>
    799. 

  799. </dl>
    800. 

  800. <dl class="section return"><dt>Returns</dt><dd><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360" title="Return status for SDK functions. ">EpidStatus</a></dd></dl>
    801. 

  801. <dl class="section see"><dt>See also</dt><dd><a class="el" href="group___finite_field_primitives.html#ga7d99fdc5e4573668a5744e49df7ab67c" title="Creates new finite field. ">NewFiniteField</a> </dd>
    802. 

  802. <dd>
    803. 

  803. <a class="el" href="group___finite_field_primitives.html#gacc54f315ede2dbeb8c5990c024a0de6c" title="Creates a new finite field element. ">NewFfElement</a> </dd></dl>
    804. 

  804. 

  805. </div>
    806. 

  806. </div>
    807. 

  807. <a class="anchor" id="ga39892fe2ab431e166dbbcf57756660f6"></a>
    808. 

  808. <div class="memitem">
    809. 

  809. <div class="memproto">
    810. 

  810.       <table class="memname">
    811. 

  811.         <tr>
    812. 

  812.           <td class="memname"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a> FfSqrt </td>
    813. 

  813.           <td>(</td>
    814. 

  814.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> *&#160;</td>
    815. 

  815.           <td class="paramname"><em>ff</em>, </td>
    816. 

  816.         </tr>
    817. 

  817.         <tr>
    818. 

  818.           <td class="paramkey"></td>
    819. 

  819.           <td></td>
    820. 

  820.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> const *&#160;</td>
    821. 

  821.           <td class="paramname"><em>a</em>, </td>
    822. 

  822.         </tr>
    823. 

  823.         <tr>
    824. 

  824.           <td class="paramkey"></td>
    825. 

  825.           <td></td>
    826. 

  826.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> *&#160;</td>
    827. 

  827.           <td class="paramname"><em>r</em>&#160;</td>
    828. 

  828.         </tr>
    829. 

  829.         <tr>
    830. 

  830.           <td></td>
    831. 

  831.           <td>)</td>
    832. 

  832.           <td></td><td></td>
    833. 

  833.         </tr>
    834. 

  834.       </table>
    835. 

  835. </div><div class="memdoc">
    836. 

  836. 

  837. <p>Finds a square root of a finite field element. </p>
    838. 

  838. <p>This function calculates the square root by the method of false position.</p>
    839. 

  839. <dl class="params"><dt>Parameters</dt><dd>
    840. 

  840.   <table class="params">
    841. 

  841.     <tr><td class="paramdir">[in]</td><td class="paramname">ff</td><td>The finite field in which to perform the operation </td></tr>
    842. 

  842.     <tr><td class="paramdir">[in]</td><td class="paramname">a</td><td>The bases. </td></tr>
    843. 

  843.     <tr><td class="paramdir">[out]</td><td class="paramname">r</td><td>The result of raising each a to the corresponding power b and multiplying the results.</td></tr>
    844. 

  844.   </table>
    845. 

  845.   </dd>
    846. 

  846. </dl>
    847. 

  847. <dl class="retval"><dt>Return values</dt><dd>
    848. 

  848.   <table class="retval">
    849. 

  849.     <tr><td class="paramname">kEpidMathQuadraticNonResidueError</td><td>No square root could be found. </td></tr>
    850. 

  850.   </table>
    851. 

  851.   </dd>
    852. 

  852. </dl>
    853. 

  853. <dl class="section return"><dt>Returns</dt><dd><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360" title="Return status for SDK functions. ">EpidStatus</a></dd></dl>
    854. 

  854. <dl class="section see"><dt>See also</dt><dd><a class="el" href="group___finite_field_primitives.html#ga7d99fdc5e4573668a5744e49df7ab67c" title="Creates new finite field. ">NewFiniteField</a> </dd>
    855. 

  855. <dd>
    856. 

  856. <a class="el" href="group___finite_field_primitives.html#gacc54f315ede2dbeb8c5990c024a0de6c" title="Creates a new finite field element. ">NewFfElement</a> </dd></dl>
    857. 

  857. 

  858. </div>
    859. 

  859. </div>
    860. 

  860. <a class="anchor" id="ga0d0c31a22bbfb665a16b2d25b0cd2634"></a>
    861. 

  861. <div class="memitem">
    862. 

  862. <div class="memproto">
    863. 

  863.       <table class="memname">
    864. 

  864.         <tr>
    865. 

  865.           <td class="memname"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a> FfSscmMultiExp </td>
    866. 

  866.           <td>(</td>
    867. 

  867.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> *&#160;</td>
    868. 

  868.           <td class="paramname"><em>ff</em>, </td>
    869. 

  869.         </tr>
    870. 

  870.         <tr>
    871. 

  871.           <td class="paramkey"></td>
    872. 

  872.           <td></td>
    873. 

  873.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> const **&#160;</td>
    874. 

  874.           <td class="paramname"><em>a</em>, </td>
    875. 

  875.         </tr>
    876. 

  876.         <tr>
    877. 

  877.           <td class="paramkey"></td>
    878. 

  878.           <td></td>
    879. 

  879.           <td class="paramtype"><a class="el" href="struct_big_num_str.html">BigNumStr</a> const **&#160;</td>
    880. 

  880.           <td class="paramname"><em>b</em>, </td>
    881. 

  881.         </tr>
    882. 

  882.         <tr>
    883. 

  883.           <td class="paramkey"></td>
    884. 

  884.           <td></td>
    885. 

  885.           <td class="paramtype">size_t&#160;</td>
    886. 

  886.           <td class="paramname"><em>m</em>, </td>
    887. 

  887.         </tr>
    888. 

  888.         <tr>
    889. 

  889.           <td class="paramkey"></td>
    890. 

  890.           <td></td>
    891. 

  891.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> *&#160;</td>
    892. 

  892.           <td class="paramname"><em>r</em>&#160;</td>
    893. 

  893.         </tr>
    894. 

  894.         <tr>
    895. 

  895.           <td></td>
    896. 

  896.           <td>)</td>
    897. 

  897.           <td></td><td></td>
    898. 

  898.         </tr>
    899. 

  899.       </table>
    900. 

  900. </div><div class="memdoc">
    901. 

  901. 

  902. <p>Software side-channel mitigated implementation of FfMultiExp. </p>
    903. 

  903. <p>Calculates FfExp(p[0],b[0]) * ... * FfExp(p[m-1],b[m-1]) for m &gt; 1</p>
    904. 

  904. <dl class="section attention"><dt>Attention</dt><dd>The reference implementation of FfSscmMultiExp calls FfMultiExp directly because the implementation of FfMultiExp is already side channel mitigated. Implementers providing their own versions of this function are responsible for ensuring that FfSscmMultiExp is side channel mitigated per section 8 of the Intel(R) EPID 2.0 spec.</dd></dl>
    905. 

  905. <dl class="params"><dt>Parameters</dt><dd>
    906. 

  906.   <table class="params">
    907. 

  907.     <tr><td class="paramdir">[in]</td><td class="paramname">ff</td><td>The finite field in which to perform the operation. </td></tr>
    908. 

  908.     <tr><td class="paramdir">[in]</td><td class="paramname">a</td><td>The bases. </td></tr>
    909. 

  909.     <tr><td class="paramdir">[in]</td><td class="paramname">b</td><td>The powers. </td></tr>
    910. 

  910.     <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>Number of entries in a and b. </td></tr>
    911. 

  911.     <tr><td class="paramdir">[out]</td><td class="paramname">r</td><td>The result of raising each a to the corresponding power b and multiplying the results.</td></tr>
    912. 

  912.   </table>
    913. 

  913.   </dd>
    914. 

  914. </dl>
    915. 

  915. <dl class="section return"><dt>Returns</dt><dd><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360" title="Return status for SDK functions. ">EpidStatus</a></dd></dl>
    916. 

  916. <dl class="section see"><dt>See also</dt><dd><a class="el" href="group___finite_field_primitives.html#ga7d99fdc5e4573668a5744e49df7ab67c" title="Creates new finite field. ">NewFiniteField</a> </dd>
    917. 

  917. <dd>
    918. 

  918. <a class="el" href="group___finite_field_primitives.html#gacc54f315ede2dbeb8c5990c024a0de6c" title="Creates a new finite field element. ">NewFfElement</a> </dd></dl>
    919. 

  919. 

  920. </div>
    921. 

  921. </div>
    922. 

  922. <a class="anchor" id="ga59d20610f245ff4bc3a17b7bfe289991"></a>
    923. 

  923. <div class="memitem">
    924. 

  924. <div class="memproto">
    925. 

  925.       <table class="memname">
    926. 

  926.         <tr>
    927. 

  927.           <td class="memname"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a> FfSub </td>
    928. 

  928.           <td>(</td>
    929. 

  929.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> *&#160;</td>
    930. 

  930.           <td class="paramname"><em>ff</em>, </td>
    931. 

  931.         </tr>
    932. 

  932.         <tr>
    933. 

  933.           <td class="paramkey"></td>
    934. 

  934.           <td></td>
    935. 

  935.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> const *&#160;</td>
    936. 

  936.           <td class="paramname"><em>a</em>, </td>
    937. 

  937.         </tr>
    938. 

  938.         <tr>
    939. 

  939.           <td class="paramkey"></td>
    940. 

  940.           <td></td>
    941. 

  941.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> const *&#160;</td>
    942. 

  942.           <td class="paramname"><em>b</em>, </td>
    943. 

  943.         </tr>
    944. 

  944.         <tr>
    945. 

  945.           <td class="paramkey"></td>
    946. 

  946.           <td></td>
    947. 

  947.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> *&#160;</td>
    948. 

  948.           <td class="paramname"><em>r</em>&#160;</td>
    949. 

  949.         </tr>
    950. 

  950.         <tr>
    951. 

  951.           <td></td>
    952. 

  952.           <td>)</td>
    953. 

  953.           <td></td><td></td>
    954. 

  954.         </tr>
    955. 

  955.       </table>
    956. 

  956. </div><div class="memdoc">
    957. 

  957. 

  958. <p>Subtracts two finite field elements. </p>
    959. 

  959. <dl class="section note"><dt>Note</dt><dd>Only needed for Intel(R) EPID 1.1 verification.</dd></dl>
    960. 

  960. <dl class="params"><dt>Parameters</dt><dd>
    961. 

  961.   <table class="params">
    962. 

  962.     <tr><td class="paramdir">[in]</td><td class="paramname">ff</td><td>The finite field. </td></tr>
    963. 

  963.     <tr><td class="paramdir">[out]</td><td class="paramname">a</td><td>The first operand to use in subtraction. </td></tr>
    964. 

  964.     <tr><td class="paramdir">[out]</td><td class="paramname">b</td><td>The second operand to use in subtraction. </td></tr>
    965. 

  965.     <tr><td class="paramdir">[out]</td><td class="paramname">r</td><td>The result of subtracting a and b.</td></tr>
    966. 

  966.   </table>
    967. 

  967.   </dd>
    968. 

  968. </dl>
    969. 

  969. <dl class="section return"><dt>Returns</dt><dd><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360" title="Return status for SDK functions. ">EpidStatus</a> </dd></dl>
    970. 

  970. 

  971. </div>
    972. 

  972. </div>
    973. 

  973. <a class="anchor" id="ga90b2c192708973b54b7a3e82b34536ed"></a>
    974. 

  974. <div class="memitem">
    975. 

  975. <div class="memproto">
    976. 

  976.       <table class="memname">
    977. 

  977.         <tr>
    978. 

  978.           <td class="memname"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a> InitFfElementFromBn </td>
    979. 

  979.           <td>(</td>
    980. 

  980.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> *&#160;</td>
    981. 

  981.           <td class="paramname"><em>ff</em>, </td>
    982. 

  982.         </tr>
    983. 

  983.         <tr>
    984. 

  984.           <td class="paramkey"></td>
    985. 

  985.           <td></td>
    986. 

  986.           <td class="paramtype"><a class="el" href="group___big_num_primitives.html#ga2bf153e27be2683f0fb26f0f7ff1f718">BigNum</a> *&#160;</td>
    987. 

  987.           <td class="paramname"><em>bn</em>, </td>
    988. 

  988.         </tr>
    989. 

  989.         <tr>
    990. 

  990.           <td class="paramkey"></td>
    991. 

  991.           <td></td>
    992. 

  992.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> *&#160;</td>
    993. 

  993.           <td class="paramname"><em>ff_elem</em>&#160;</td>
    994. 

  994.         </tr>
    995. 

  995.         <tr>
    996. 

  996.           <td></td>
    997. 

  997.           <td>)</td>
    998. 

  998.           <td></td><td></td>
    999. 

  999.         </tr>
    1000. 

  1000.       </table>
    1001. 

  1001. </div><div class="memdoc">
    1002. 

  1002. 

  1003. <p>Initializes an existing FfElement from a BigNum. </p>
    1004. 

  1004. <dl class="params"><dt>Parameters</dt><dd>
    1005. 

  1005.   <table class="params">
    1006. 

  1006.     <tr><td class="paramdir">[in]</td><td class="paramname">ff</td><td>The finite field. Must be a Prime Field. </td></tr>
    1007. 

  1007.     <tr><td class="paramdir">[in]</td><td class="paramname">bn</td><td>The value to read. </td></tr>
    1008. 

  1008.     <tr><td class="paramdir">[out]</td><td class="paramname">ff_elem</td><td>The target FfElement.</td></tr>
    1009. 

  1009.   </table>
    1010. 

  1010.   </dd>
    1011. 

  1011. </dl>
    1012. 

  1012. <dl class="section return"><dt>Returns</dt><dd><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360" title="Return status for SDK functions. ">EpidStatus</a></dd></dl>
    1013. 

  1013. <dl class="section see"><dt>See also</dt><dd><a class="el" href="group___finite_field_primitives.html#gacc54f315ede2dbeb8c5990c024a0de6c" title="Creates a new finite field element. ">NewFfElement</a> </dd>
    1014. 

  1014. <dd>
    1015. 

  1015. <a class="el" href="group___finite_field_primitives.html#ga678694636708463b078d842d5c58a900" title="Serializes a finite field element to a string. ">WriteFfElement</a> </dd></dl>
    1016. 

  1016. 

  1017. </div>
    1018. 

  1018. </div>
    1019. 

  1019. <a class="anchor" id="gacc54f315ede2dbeb8c5990c024a0de6c"></a>
    1020. 

  1020. <div class="memitem">
    1021. 

  1021. <div class="memproto">
    1022. 

  1022.       <table class="memname">
    1023. 

  1023.         <tr>
    1024. 

  1024.           <td class="memname"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a> NewFfElement </td>
    1025. 

  1025.           <td>(</td>
    1026. 

  1026.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> const *&#160;</td>
    1027. 

  1027.           <td class="paramname"><em>ff</em>, </td>
    1028. 

  1028.         </tr>
    1029. 

  1029.         <tr>
    1030. 

  1030.           <td class="paramkey"></td>
    1031. 

  1031.           <td></td>
    1032. 

  1032.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> **&#160;</td>
    1033. 

  1033.           <td class="paramname"><em>new_ff_elem</em>&#160;</td>
    1034. 

  1034.         </tr>
    1035. 

  1035.         <tr>
    1036. 

  1036.           <td></td>
    1037. 

  1037.           <td>)</td>
    1038. 

  1038.           <td></td><td></td>
    1039. 

  1039.         </tr>
    1040. 

  1040.       </table>
    1041. 

  1041. </div><div class="memdoc">
    1042. 

  1042. 

  1043. <p>Creates a new finite field element. </p>
    1044. 

  1044. <p>Allocates memory and creates a new finite field element.</p>
    1045. 

  1045. <p>Use <a class="el" href="group___finite_field_primitives.html#ga1bad3c6945d1d709fceb07a1dd03000e" title="Frees a previously allocated FfElement. ">DeleteFfElement()</a> to free memory.</p>
    1046. 

  1046. <dl class="params"><dt>Parameters</dt><dd>
    1047. 

  1047.   <table class="params">
    1048. 

  1048.     <tr><td class="paramdir">[in]</td><td class="paramname">ff</td><td>The finite field. </td></tr>
    1049. 

  1049.     <tr><td class="paramdir">[out]</td><td class="paramname">new_ff_elem</td><td>The Newly constructed finite field element.</td></tr>
    1050. 

  1050.   </table>
    1051. 

  1051.   </dd>
    1052. 

  1052. </dl>
    1053. 

  1053. <dl class="section return"><dt>Returns</dt><dd><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360" title="Return status for SDK functions. ">EpidStatus</a></dd></dl>
    1054. 

  1054. <dl class="section see"><dt>See also</dt><dd><a class="el" href="group___finite_field_primitives.html#ga7d99fdc5e4573668a5744e49df7ab67c" title="Creates new finite field. ">NewFiniteField</a> </dd>
    1055. 

  1055. <dd>
    1056. 

  1056. <a class="el" href="group___finite_field_primitives.html#ga1bad3c6945d1d709fceb07a1dd03000e" title="Frees a previously allocated FfElement. ">DeleteFfElement</a> </dd></dl>
    1057. 

  1057. 

  1058. </div>
    1059. 

  1059. </div>
    1060. 

  1060. <a class="anchor" id="ga7d99fdc5e4573668a5744e49df7ab67c"></a>
    1061. 

  1061. <div class="memitem">
    1062. 

  1062. <div class="memproto">
    1063. 

  1063.       <table class="memname">
    1064. 

  1064.         <tr>
    1065. 

  1065.           <td class="memname"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a> NewFiniteField </td>
    1066. 

  1066.           <td>(</td>
    1067. 

  1067.           <td class="paramtype"><a class="el" href="struct_big_num_str.html">BigNumStr</a> const *&#160;</td>
    1068. 

  1068.           <td class="paramname"><em>prime</em>, </td>
    1069. 

  1069.         </tr>
    1070. 

  1070.         <tr>
    1071. 

  1071.           <td class="paramkey"></td>
    1072. 

  1072.           <td></td>
    1073. 

  1073.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> **&#160;</td>
    1074. 

  1074.           <td class="paramname"><em>ff</em>&#160;</td>
    1075. 

  1075.         </tr>
    1076. 

  1076.         <tr>
    1077. 

  1077.           <td></td>
    1078. 

  1078.           <td>)</td>
    1079. 

  1079.           <td></td><td></td>
    1080. 

  1080.         </tr>
    1081. 

  1081.       </table>
    1082. 

  1082. </div><div class="memdoc">
    1083. 

  1083. 

  1084. <p>Creates new finite field. </p>
    1085. 

  1085. <p>Allocates memory and creates a new finite field GF(prime).</p>
    1086. 

  1086. <p>Use <a class="el" href="group___finite_field_primitives.html#gacbdd2871ecf93dadaac9d2c5b16e1e5f" title="Frees a previously allocated FiniteField. ">DeleteFiniteField()</a> to free memory.</p>
    1087. 

  1087. <dl class="params"><dt>Parameters</dt><dd>
    1088. 

  1088.   <table class="params">
    1089. 

  1089.     <tr><td class="paramdir">[in]</td><td class="paramname">prime</td><td>The order of the finite field. </td></tr>
    1090. 

  1090.     <tr><td class="paramdir">[out]</td><td class="paramname">ff</td><td>The newly constructed finite field.</td></tr>
    1091. 

  1091.   </table>
    1092. 

  1092.   </dd>
    1093. 

  1093. </dl>
    1094. 

  1094. <dl class="section return"><dt>Returns</dt><dd><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360" title="Return status for SDK functions. ">EpidStatus</a></dd></dl>
    1095. 

  1095. <dl class="section see"><dt>See also</dt><dd><a class="el" href="group___finite_field_primitives.html#gacbdd2871ecf93dadaac9d2c5b16e1e5f" title="Frees a previously allocated FiniteField. ">DeleteFiniteField</a> </dd></dl>
    1096. 

  1096. 

  1097. </div>
    1098. 

  1098. </div>
    1099. 

  1099. <a class="anchor" id="ga83041e3be9984a4bd8f1021934bfa3a2"></a>
    1100. 

  1100. <div class="memitem">
    1101. 

  1101. <div class="memproto">
    1102. 

  1102.       <table class="memname">
    1103. 

  1103.         <tr>
    1104. 

  1104.           <td class="memname"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a> NewFiniteFieldViaBinomalExtension </td>
    1105. 

  1105.           <td>(</td>
    1106. 

  1106.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> const *&#160;</td>
    1107. 

  1107.           <td class="paramname"><em>ground_field</em>, </td>
    1108. 

  1108.         </tr>
    1109. 

  1109.         <tr>
    1110. 

  1110.           <td class="paramkey"></td>
    1111. 

  1111.           <td></td>
    1112. 

  1112.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> const *&#160;</td>
    1113. 

  1113.           <td class="paramname"><em>ground_element</em>, </td>
    1114. 

  1114.         </tr>
    1115. 

  1115.         <tr>
    1116. 

  1116.           <td class="paramkey"></td>
    1117. 

  1117.           <td></td>
    1118. 

  1118.           <td class="paramtype">int&#160;</td>
    1119. 

  1119.           <td class="paramname"><em>degree</em>, </td>
    1120. 

  1120.         </tr>
    1121. 

  1121.         <tr>
    1122. 

  1122.           <td class="paramkey"></td>
    1123. 

  1123.           <td></td>
    1124. 

  1124.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> **&#160;</td>
    1125. 

  1125.           <td class="paramname"><em>ff</em>&#160;</td>
    1126. 

  1126.         </tr>
    1127. 

  1127.         <tr>
    1128. 

  1128.           <td></td>
    1129. 

  1129.           <td>)</td>
    1130. 

  1130.           <td></td><td></td>
    1131. 

  1131.         </tr>
    1132. 

  1132.       </table>
    1133. 

  1133. </div><div class="memdoc">
    1134. 

  1134. 

  1135. <p>Creates a new finite field using binomial extension. </p>
    1136. 

  1136. <p>Allocates memory and creates a finite field using binomial extension.</p>
    1137. 

  1137. <p>Use <a class="el" href="group___finite_field_primitives.html#gacbdd2871ecf93dadaac9d2c5b16e1e5f" title="Frees a previously allocated FiniteField. ">DeleteFiniteField()</a> to free memory.</p>
    1138. 

  1138. <dl class="params"><dt>Parameters</dt><dd>
    1139. 

  1139.   <table class="params">
    1140. 

  1140.     <tr><td class="paramdir">[in]</td><td class="paramname">ground_field</td><td>The ground field. </td></tr>
    1141. 

  1141.     <tr><td class="paramdir">[in]</td><td class="paramname">ground_element</td><td>The low-order term of the extension. </td></tr>
    1142. 

  1142.     <tr><td class="paramdir">[in]</td><td class="paramname">degree</td><td>The degree of the extension. </td></tr>
    1143. 

  1143.     <tr><td class="paramdir">[out]</td><td class="paramname">ff</td><td>The newly constructed finite field.</td></tr>
    1144. 

  1144.   </table>
    1145. 

  1145.   </dd>
    1146. 

  1146. </dl>
    1147. 

  1147. <dl class="section return"><dt>Returns</dt><dd><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360" title="Return status for SDK functions. ">EpidStatus</a></dd></dl>
    1148. 

  1148. <dl class="section see"><dt>See also</dt><dd><a class="el" href="group___finite_field_primitives.html#gacbdd2871ecf93dadaac9d2c5b16e1e5f" title="Frees a previously allocated FiniteField. ">DeleteFiniteField</a> </dd></dl>
    1149. 

  1149. 

  1150. </div>
    1151. 

  1151. </div>
    1152. 

  1152. <a class="anchor" id="gae69af62a03179718cac81b004549c598"></a>
    1153. 

  1153. <div class="memitem">
    1154. 

  1154. <div class="memproto">
    1155. 

  1155.       <table class="memname">
    1156. 

  1156.         <tr>
    1157. 

  1157.           <td class="memname"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a> NewFiniteFieldViaPolynomialExtension </td>
    1158. 

  1158.           <td>(</td>
    1159. 

  1159.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> const *&#160;</td>
    1160. 

  1160.           <td class="paramname"><em>ground_field</em>, </td>
    1161. 

  1161.         </tr>
    1162. 

  1162.         <tr>
    1163. 

  1163.           <td class="paramkey"></td>
    1164. 

  1164.           <td></td>
    1165. 

  1165.           <td class="paramtype"><a class="el" href="struct_big_num_str.html">BigNumStr</a> const *&#160;</td>
    1166. 

  1166.           <td class="paramname"><em>irr_polynomial</em>, </td>
    1167. 

  1167.         </tr>
    1168. 

  1168.         <tr>
    1169. 

  1169.           <td class="paramkey"></td>
    1170. 

  1170.           <td></td>
    1171. 

  1171.           <td class="paramtype">int&#160;</td>
    1172. 

  1172.           <td class="paramname"><em>degree</em>, </td>
    1173. 

  1173.         </tr>
    1174. 

  1174.         <tr>
    1175. 

  1175.           <td class="paramkey"></td>
    1176. 

  1176.           <td></td>
    1177. 

  1177.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> **&#160;</td>
    1178. 

  1178.           <td class="paramname"><em>ff</em>&#160;</td>
    1179. 

  1179.         </tr>
    1180. 

  1180.         <tr>
    1181. 

  1181.           <td></td>
    1182. 

  1182.           <td>)</td>
    1183. 

  1183.           <td></td><td></td>
    1184. 

  1184.         </tr>
    1185. 

  1185.       </table>
    1186. 

  1186. </div><div class="memdoc">
    1187. 

  1187. 

  1188. <p>Creates a new finite field using polynomial extension. </p>
    1189. 

  1189. <p>Allocates memory and creates a finite field using polynomial extension.</p>
    1190. 

  1190. <p>Use <a class="el" href="group___finite_field_primitives.html#gacbdd2871ecf93dadaac9d2c5b16e1e5f" title="Frees a previously allocated FiniteField. ">DeleteFiniteField()</a> to free memory.</p>
    1191. 

  1191. <dl class="section note"><dt>Note</dt><dd>Only needed for Intel(R) EPID 1.1 verification.</dd></dl>
    1192. 

  1192. <dl class="params"><dt>Parameters</dt><dd>
    1193. 

  1193.   <table class="params">
    1194. 

  1194.     <tr><td class="paramdir">[in]</td><td class="paramname">ground_field</td><td>The ground field. </td></tr>
    1195. 

  1195.     <tr><td class="paramdir">[in]</td><td class="paramname">irr_polynomial</td><td>Array with coefficients of the irreducible polynomial. Number of elements must be equal to the degree of the extension. </td></tr>
    1196. 

  1196.     <tr><td class="paramdir">[in]</td><td class="paramname">degree</td><td>The degree of the extension. </td></tr>
    1197. 

  1197.     <tr><td class="paramdir">[out]</td><td class="paramname">ff</td><td>The newly constructed finite field.</td></tr>
    1198. 

  1198.   </table>
    1199. 

  1199.   </dd>
    1200. 

  1200. </dl>
    1201. 

  1201. <dl class="section return"><dt>Returns</dt><dd><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360" title="Return status for SDK functions. ">EpidStatus</a></dd></dl>
    1202. 

  1202. <dl class="section see"><dt>See also</dt><dd><a class="el" href="group___finite_field_primitives.html#gacbdd2871ecf93dadaac9d2c5b16e1e5f" title="Frees a previously allocated FiniteField. ">DeleteFiniteField</a> </dd></dl>
    1203. 

  1203. 

  1204. </div>
    1205. 

  1205. </div>
    1206. 

  1206. <a class="anchor" id="ga884d9e1baadf29a410244a735853e3c7"></a>
    1207. 

  1207. <div class="memitem">
    1208. 

  1208. <div class="memproto">
    1209. 

  1209.       <table class="memname">
    1210. 

  1210.         <tr>
    1211. 

  1211.           <td class="memname"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a> ReadFfElement </td>
    1212. 

  1212.           <td>(</td>
    1213. 

  1213.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> *&#160;</td>
    1214. 

  1214.           <td class="paramname"><em>ff</em>, </td>
    1215. 

  1215.         </tr>
    1216. 

  1216.         <tr>
    1217. 

  1217.           <td class="paramkey"></td>
    1218. 

  1218.           <td></td>
    1219. 

  1219.           <td class="paramtype">void const *&#160;</td>
    1220. 

  1220.           <td class="paramname"><em>ff_elem_str</em>, </td>
    1221. 

  1221.         </tr>
    1222. 

  1222.         <tr>
    1223. 

  1223.           <td class="paramkey"></td>
    1224. 

  1224.           <td></td>
    1225. 

  1225.           <td class="paramtype">size_t&#160;</td>
    1226. 

  1226.           <td class="paramname"><em>strlen</em>, </td>
    1227. 

  1227.         </tr>
    1228. 

  1228.         <tr>
    1229. 

  1229.           <td class="paramkey"></td>
    1230. 

  1230.           <td></td>
    1231. 

  1231.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> *&#160;</td>
    1232. 

  1232.           <td class="paramname"><em>ff_elem</em>&#160;</td>
    1233. 

  1233.         </tr>
    1234. 

  1234.         <tr>
    1235. 

  1235.           <td></td>
    1236. 

  1236.           <td>)</td>
    1237. 

  1237.           <td></td><td></td>
    1238. 

  1238.         </tr>
    1239. 

  1239.       </table>
    1240. 

  1240. </div><div class="memdoc">
    1241. 

  1241. 

  1242. <p>Deserializes a FfElement from a string. </p>
    1243. 

  1243. <dl class="params"><dt>Parameters</dt><dd>
    1244. 

  1244.   <table class="params">
    1245. 

  1245.     <tr><td class="paramdir">[in]</td><td class="paramname">ff</td><td>The finite field. </td></tr>
    1246. 

  1246.     <tr><td class="paramdir">[in]</td><td class="paramname">ff_elem_str</td><td>The serialized value. </td></tr>
    1247. 

  1247.     <tr><td class="paramdir">[in]</td><td class="paramname">strlen</td><td>The size of ff_elem_str in bytes. </td></tr>
    1248. 

  1248.     <tr><td class="paramdir">[out]</td><td class="paramname">ff_elem</td><td>The target FfElement.</td></tr>
    1249. 

  1249.   </table>
    1250. 

  1250.   </dd>
    1251. 

  1251. </dl>
    1252. 

  1252. <dl class="section return"><dt>Returns</dt><dd><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360" title="Return status for SDK functions. ">EpidStatus</a></dd></dl>
    1253. 

  1253. <dl class="section see"><dt>See also</dt><dd><a class="el" href="group___finite_field_primitives.html#gacc54f315ede2dbeb8c5990c024a0de6c" title="Creates a new finite field element. ">NewFfElement</a> </dd>
    1254. 

  1254. <dd>
    1255. 

  1255. <a class="el" href="group___finite_field_primitives.html#ga678694636708463b078d842d5c58a900" title="Serializes a finite field element to a string. ">WriteFfElement</a> </dd></dl>
    1256. 

  1256. 

  1257. </div>
    1258. 

  1258. </div>
    1259. 

  1259. <a class="anchor" id="ga678694636708463b078d842d5c58a900"></a>
    1260. 

  1260. <div class="memitem">
    1261. 

  1261. <div class="memproto">
    1262. 

  1262.       <table class="memname">
    1263. 

  1263.         <tr>
    1264. 

  1264.           <td class="memname"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a> WriteFfElement </td>
    1265. 

  1265.           <td>(</td>
    1266. 

  1266.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> *&#160;</td>
    1267. 

  1267.           <td class="paramname"><em>ff</em>, </td>
    1268. 

  1268.         </tr>
    1269. 

  1269.         <tr>
    1270. 

  1270.           <td class="paramkey"></td>
    1271. 

  1271.           <td></td>
    1272. 

  1272.           <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> const *&#160;</td>
    1273. 

  1273.           <td class="paramname"><em>ff_elem</em>, </td>
    1274. 

  1274.         </tr>
    1275. 

  1275.         <tr>
    1276. 

  1276.           <td class="paramkey"></td>
    1277. 

  1277.           <td></td>
    1278. 

  1278.           <td class="paramtype">void *&#160;</td>
    1279. 

  1279.           <td class="paramname"><em>ff_elem_str</em>, </td>
    1280. 

  1280.         </tr>
    1281. 

  1281.         <tr>
    1282. 

  1282.           <td class="paramkey"></td>
    1283. 

  1283.           <td></td>
    1284. 

  1284.           <td class="paramtype">size_t&#160;</td>
    1285. 

  1285.           <td class="paramname"><em>strlen</em>&#160;</td>
    1286. 

  1286.         </tr>
    1287. 

  1287.         <tr>
    1288. 

  1288.           <td></td>
    1289. 

  1289.           <td>)</td>
    1290. 

  1290.           <td></td><td></td>
    1291. 

  1291.         </tr>
    1292. 

  1292.       </table>
    1293. 

  1293. </div><div class="memdoc">
    1294. 

  1294. 

  1295. <p>Serializes a finite field element to a string. </p>
    1296. 

  1296. <dl class="params"><dt>Parameters</dt><dd>
    1297. 

  1297.   <table class="params">
    1298. 

  1298.     <tr><td class="paramdir">[in]</td><td class="paramname">ff</td><td>The finite field. </td></tr>
    1299. 

  1299.     <tr><td class="paramdir">[in]</td><td class="paramname">ff_elem</td><td>The FfElement to be serialized. </td></tr>
    1300. 

  1300.     <tr><td class="paramdir">[out]</td><td class="paramname">ff_elem_str</td><td>The target string. </td></tr>
    1301. 

  1301.     <tr><td class="paramdir">[in]</td><td class="paramname">strlen</td><td>The size of ff_elem_str in bytes.</td></tr>
    1302. 

  1302.   </table>
    1303. 

  1303.   </dd>
    1304. 

  1304. </dl>
    1305. 

  1305. <dl class="section return"><dt>Returns</dt><dd><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360" title="Return status for SDK functions. ">EpidStatus</a></dd></dl>
    1306. 

  1306. <dl class="section see"><dt>See also</dt><dd><a class="el" href="group___finite_field_primitives.html#gacc54f315ede2dbeb8c5990c024a0de6c" title="Creates a new finite field element. ">NewFfElement</a> </dd>
    1307. 

  1307. <dd>
    1308. 

  1308. <a class="el" href="struct_fp_elem_str.html" title="a number in [0, p-1] ">FpElemStr</a> </dd>
    1309. 

  1309. <dd>
    1310. 

  1310. <a class="el" href="struct_fq_elem_str.html" title="a number in [0, q-1] ">FqElemStr</a> </dd>
    1311. 

  1311. <dd>
    1312. 

  1312. <a class="el" href="struct_gt_elem_str.html" title="Serialized GT element. ">GtElemStr</a> </dd></dl>
    1313. 

  1313. 

  1314. </div>
    1315. 

  1315. </div>
    1316. 

  1316. </div><!-- contents -->
    1317. 

  1317. </div><!-- doc-content -->
    1318. 

  1318. <!-- HTML footer for doxygen 1.8.10-->
    1319. 

  1319. <!-- start footer part -->
    1320. 

  1320. <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
    1321. 

  1321.   <ul>
    1322. 

  1322.     <li class="footer">
    1323. 

  1323.       &copy; 2016 Intel Corporation
    1324. 

  1324.     </li>
    1325. 

  1325.   </ul>
    1326. 

  1326. </div>
    1327. 

  1327. </body>
    1328. 

  1328. </html>
    1329.