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        <h2 class="phpdocumentor-content__title">
    GF256

    
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            in package
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    <div class="phpdocumentor-label phpdocumentor-label--success"><span>Final</span><span>Yes</span></div>


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        <aside class="phpdocumentor-element-found-in">
    <abbr class="phpdocumentor-element-found-in__file" title="src/Common/GF256.php"><a href="files/src-common-gf256.html"><abbr title="src/Common/GF256.php">GF256.php</abbr></a></abbr>
    :
    <span class="phpdocumentor-element-found-in__line">30</span>

    </aside>

            <p class="phpdocumentor-summary">This class contains utility methods for performing mathematical operations over
the Galois Fields. Operations use a given primitive polynomial in calculations.</p>


    <section class="phpdocumentor-description"><p>Throughout this package, elements of the GF are represented as an int
for convenience and speed (but at the cost of memory).</p>
</section>


    <h5 class="phpdocumentor-tag-list__heading" id="tags">
        Tags
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    </h5>
    <dl class="phpdocumentor-tag-list">
                                    <dt class="phpdocumentor-tag-list__entry">
                    <span class="phpdocumentor-tag__name">author</span>
                </dt>
                <dd class="phpdocumentor-tag-list__definition">
                                                                                
                                                 <section class="phpdocumentor-description"><p>Sean Owen</p>
</section>

                                    </dd>
                            <dt class="phpdocumentor-tag-list__entry">
                    <span class="phpdocumentor-tag__name">author</span>
                </dt>
                <dd class="phpdocumentor-tag-list__definition">
                                                                                
                                                 <section class="phpdocumentor-description"><p>David Olivier</p>
</section>

                                    </dd>
                                            </dl>

    
<h3 id="toc">
    Table of Contents
    <a href="classes/chillerlan-QRCode-Common-GF256.html#toc" class="headerlink"><i class="fas fa-link"></i></a>

</h3>


<h4 id="toc-constants">
    Constants
    <a href="classes/chillerlan-QRCode-Common-GF256.html#toc-constants" class="headerlink"><i class="fas fa-link"></i></a>

</h4>
<dl class="phpdocumentor-table-of-contents">
            <dt class="phpdocumentor-table-of-contents__entry -constant -private">
    <a class="" href="classes/chillerlan-QRCode-Common-GF256.html#constant_expTable">expTable</a>
    <span>
        &nbsp;= [1, 2, 4, 8, 16, 32, 64, 128, 29, 58, 116, 232, 205, 135, 19, 38, 76, 152, 45, 90, 180, 117, 234, 201, 143, 3, 6, 12, 24, 48, 96, 192, 157, 39, 78, 156, 37, 74, 148, 53, 106, 212, 181, 119, 238, 193, 159, 35, 70, 140, 5, 10, 20, 40, 80, 160, 93, 186, 105, 210, 185, 111, 222, 161, 95, 190, 97, 194, 153, 47, 94, 188, 101, 202, 137, 15, 30, 60, 120, 240, 253, 231, 211, 187, 107, 214, 177, 127, 254, 225, 223, 163, 91, 182, 113, 226, 217, 175, 67, 134, 17, 34, 68, 136, 13, 26, 52, 104, 208, 189, 103, 206, 129, 31, 62, 124, 248, 237, 199, 147, 59, 118, 236, 197, 151, 51, 102, 204, 133, 23, 46, 92, 184, 109, 218, 169, 79, 158, 33, 66, 132, 21, 42, 84, 168, 77, 154, 41, 82, 164, 85, 170, 73, 146, 57, 114, 228, 213, 183, 115, 230, 209, 191, 99, 198, 145, 63, 126, 252, 229, 215, 179, 123, 246, 241, 255, 227, 219, 171, 75, 150, 49, 98, 196, 149, 55, 110, 220, 165, 87, 174, 65, 130, 25, 50, 100, 200, 141, 7, 14, 28, 56, 112, 224, 221, 167, 83, 166, 81, 162, 89, 178, 121, 242, 249, 239, 195, 155, 43, 86, 172, 69, 138, 9, 18, 36, 72, 144, 61, 122, 244, 245, 247, 243, 251, 235, 203, 139, 11, 22, 44, 88, 176, 125, 250, 233, 207, 131, 27, 54, 108, 216, 173, 71, 142, 1]                            </span>
</dt>

            <dt class="phpdocumentor-table-of-contents__entry -constant -private">
    <a class="" href="classes/chillerlan-QRCode-Common-GF256.html#constant_logTable">logTable</a>
    <span>
        &nbsp;= [
    0,
    // the first value is never returned, index starts at 1
    0,
    1,
    25,
    2,
    50,
    26,
    198,
    3,
    223,
    51,
    238,
    27,
    104,
    199,
    75,
    4,
    100,
    224,
    14,
    52,
    141,
    239,
    129,
    28,
    193,
    105,
    248,
    200,
    8,
    76,
    113,
    5,
    138,
    101,
    47,
    225,
    36,
    15,
    33,
    53,
    147,
    142,
    218,
    240,
    18,
    130,
    69,
    29,
    181,
    194,
    125,
    106,
    39,
    249,
    185,
    201,
    154,
    9,
    120,
    77,
    228,
    114,
    166,
    6,
    191,
    139,
    98,
    102,
    221,
    48,
    253,
    226,
    152,
    37,
    179,
    16,
    145,
    34,
    136,
    54,
    208,
    148,
    206,
    143,
    150,
    219,
    189,
    241,
    210,
    19,
    92,
    131,
    56,
    70,
    64,
    30,
    66,
    182,
    163,
    195,
    72,
    126,
    110,
    107,
    58,
    40,
    84,
    250,
    133,
    186,
    61,
    202,
    94,
    155,
    159,
    10,
    21,
    121,
    43,
    78,
    212,
    229,
    172,
    115,
    243,
    167,
    87,
    7,
    112,
    192,
    247,
    140,
    128,
    99,
    13,
    103,
    74,
    222,
    237,
    49,
    197,
    254,
    24,
    227,
    165,
    153,
    119,
    38,
    184,
    180,
    124,
    17,
    68,
    146,
    217,
    35,
    32,
    137,
    46,
    55,
    63,
    209,
    91,
    149,
    188,
    207,
    205,
    144,
    135,
    151,
    178,
    220,
    252,
    190,
    97,
    242,
    86,
    211,
    171,
    20,
    42,
    93,
    158,
    132,
    60,
    57,
    83,
    71,
    109,
    65,
    162,
    31,
    45,
    67,
    216,
    183,
    123,
    164,
    118,
    196,
    23,
    73,
    236,
    127,
    12,
    111,
    246,
    108,
    161,
    59,
    82,
    41,
    157,
    85,
    170,
    251,
    96,
    134,
    177,
    187,
    204,
    62,
    90,
    203,
    89,
    95,
    176,
    156,
    169,
    160,
    81,
    11,
    245,
    22,
    235,
    122,
    117,
    44,
    215,
    79,
    174,
    213,
    233,
    230,
    231,
    173,
    232,
    116,
    214,
    244,
    234,
    168,
    80,
    88,
    175,
]                            </span>
</dt>
<dd>irreducible polynomial whose coefficients are represented by the bits of an int,
where the least-significant bit represents the constant coefficient</dd>

    </dl>


<h4 id="toc-methods">
    Methods
    <a href="classes/chillerlan-QRCode-Common-GF256.html#toc-methods" class="headerlink"><i class="fas fa-link"></i></a>

</h4>
<dl class="phpdocumentor-table-of-contents">
            <dt class="phpdocumentor-table-of-contents__entry -method -public">
    <a class="" href="classes/chillerlan-QRCode-Common-GF256.html#method_addOrSubtract">addOrSubtract()</a>
    <span>
                                &nbsp;: int    </span>
</dt>
<dd>Implements both addition and subtraction -- they are the same in GF(size).</dd>

            <dt class="phpdocumentor-table-of-contents__entry -method -public">
    <a class="" href="classes/chillerlan-QRCode-Common-GF256.html#method_buildMonomial">buildMonomial()</a>
    <span>
                                &nbsp;: <a href="classes/chillerlan-QRCode-Common-GenericGFPoly.html"><abbr title="\chillerlan\QRCode\Common\GenericGFPoly">GenericGFPoly</abbr></a>    </span>
</dt>

            <dt class="phpdocumentor-table-of-contents__entry -method -public">
    <a class="" href="classes/chillerlan-QRCode-Common-GF256.html#method_exp">exp()</a>
    <span>
                                &nbsp;: int    </span>
</dt>

            <dt class="phpdocumentor-table-of-contents__entry -method -public">
    <a class="" href="classes/chillerlan-QRCode-Common-GF256.html#method_inverse">inverse()</a>
    <span>
                                &nbsp;: int    </span>
</dt>

            <dt class="phpdocumentor-table-of-contents__entry -method -public">
    <a class="" href="classes/chillerlan-QRCode-Common-GF256.html#method_log">log()</a>
    <span>
                                &nbsp;: int    </span>
</dt>

            <dt class="phpdocumentor-table-of-contents__entry -method -public">
    <a class="" href="classes/chillerlan-QRCode-Common-GF256.html#method_multiply">multiply()</a>
    <span>
                                &nbsp;: int    </span>
</dt>

    </dl>


    <section class="phpdocumentor-constants">
        <h3 class="phpdocumentor-elements__header" id="constants">
            Constants
            <a href="classes/chillerlan-QRCode-Common-GF256.html#constants" class="headerlink"><i class="fas fa-link"></i></a>

        </h3>
                    <article class="phpdocumentor-element -constant -private ">
    <h4 class="phpdocumentor-element__name" id="constant_expTable">
        expTable
        <a href="classes/chillerlan-QRCode-Common-GF256.html#constant_expTable" class="headerlink"><i class="fas fa-link"></i></a>

    </h4>

    <aside class="phpdocumentor-element-found-in">
    <abbr class="phpdocumentor-element-found-in__file" title="src/Common/GF256.php"><a href="files/src-common-gf256.html"><abbr title="src/Common/GF256.php">GF256.php</abbr></a></abbr>
    :
    <span class="phpdocumentor-element-found-in__line">58</span>

    </aside>

    
    <code class="phpdocumentor-signature phpdocumentor-code ">
    <span class="phpdocumentor-signature__visibility">private</span>
        <span class="phpdocumentor-signature__type">mixed</span>
    <span class="phpdocumentor-signature__name">expTable</span>
    = <span class="phpdocumentor-signature__default-value">[1, 2, 4, 8, 16, 32, 64, 128, 29, 58, 116, 232, 205, 135, 19, 38, 76, 152, 45, 90, 180, 117, 234, 201, 143, 3, 6, 12, 24, 48, 96, 192, 157, 39, 78, 156, 37, 74, 148, 53, 106, 212, 181, 119, 238, 193, 159, 35, 70, 140, 5, 10, 20, 40, 80, 160, 93, 186, 105, 210, 185, 111, 222, 161, 95, 190, 97, 194, 153, 47, 94, 188, 101, 202, 137, 15, 30, 60, 120, 240, 253, 231, 211, 187, 107, 214, 177, 127, 254, 225, 223, 163, 91, 182, 113, 226, 217, 175, 67, 134, 17, 34, 68, 136, 13, 26, 52, 104, 208, 189, 103, 206, 129, 31, 62, 124, 248, 237, 199, 147, 59, 118, 236, 197, 151, 51, 102, 204, 133, 23, 46, 92, 184, 109, 218, 169, 79, 158, 33, 66, 132, 21, 42, 84, 168, 77, 154, 41, 82, 164, 85, 170, 73, 146, 57, 114, 228, 213, 183, 115, 230, 209, 191, 99, 198, 145, 63, 126, 252, 229, 215, 179, 123, 246, 241, 255, 227, 219, 171, 75, 150, 49, 98, 196, 149, 55, 110, 220, 165, 87, 174, 65, 130, 25, 50, 100, 200, 141, 7, 14, 28, 56, 112, 224, 221, 167, 83, 166, 81, 162, 89, 178, 121, 242, 249, 239, 195, 155, 43, 86, 172, 69, 138, 9, 18, 36, 72, 144, 61, 122, 244, 245, 247, 243, 251, 235, 203, 139, 11, 22, 44, 88, 176, 125, 250, 233, 207, 131, 27, 54, 108, 216, 173, 71, 142, 1]</span>
</code>


    </article>
                    <article class="phpdocumentor-element -constant -private ">
    <h4 class="phpdocumentor-element__name" id="constant_logTable">
        logTable
        <a href="classes/chillerlan-QRCode-Common-GF256.html#constant_logTable" class="headerlink"><i class="fas fa-link"></i></a>

    </h4>

    <aside class="phpdocumentor-element-found-in">
    <abbr class="phpdocumentor-element-found-in__file" title="src/Common/GF256.php"><a href="files/src-common-gf256.html"><abbr title="src/Common/GF256.php">GF256.php</abbr></a></abbr>
    :
    <span class="phpdocumentor-element-found-in__line">38</span>

    </aside>

        <p class="phpdocumentor-summary">irreducible polynomial whose coefficients are represented by the bits of an int,
where the least-significant bit represents the constant coefficient</p>

    
    <code class="phpdocumentor-signature phpdocumentor-code ">
    <span class="phpdocumentor-signature__visibility">private</span>
        <span class="phpdocumentor-signature__type">mixed</span>
    <span class="phpdocumentor-signature__name">logTable</span>
    = <span class="phpdocumentor-signature__default-value">[
    0,
    // the first value is never returned, index starts at 1
    0,
    1,
    25,
    2,
    50,
    26,
    198,
    3,
    223,
    51,
    238,
    27,
    104,
    199,
    75,
    4,
    100,
    224,
    14,
    52,
    141,
    239,
    129,
    28,
    193,
    105,
    248,
    200,
    8,
    76,
    113,
    5,
    138,
    101,
    47,
    225,
    36,
    15,
    33,
    53,
    147,
    142,
    218,
    240,
    18,
    130,
    69,
    29,
    181,
    194,
    125,
    106,
    39,
    249,
    185,
    201,
    154,
    9,
    120,
    77,
    228,
    114,
    166,
    6,
    191,
    139,
    98,
    102,
    221,
    48,
    253,
    226,
    152,
    37,
    179,
    16,
    145,
    34,
    136,
    54,
    208,
    148,
    206,
    143,
    150,
    219,
    189,
    241,
    210,
    19,
    92,
    131,
    56,
    70,
    64,
    30,
    66,
    182,
    163,
    195,
    72,
    126,
    110,
    107,
    58,
    40,
    84,
    250,
    133,
    186,
    61,
    202,
    94,
    155,
    159,
    10,
    21,
    121,
    43,
    78,
    212,
    229,
    172,
    115,
    243,
    167,
    87,
    7,
    112,
    192,
    247,
    140,
    128,
    99,
    13,
    103,
    74,
    222,
    237,
    49,
    197,
    254,
    24,
    227,
    165,
    153,
    119,
    38,
    184,
    180,
    124,
    17,
    68,
    146,
    217,
    35,
    32,
    137,
    46,
    55,
    63,
    209,
    91,
    149,
    188,
    207,
    205,
    144,
    135,
    151,
    178,
    220,
    252,
    190,
    97,
    242,
    86,
    211,
    171,
    20,
    42,
    93,
    158,
    132,
    60,
    57,
    83,
    71,
    109,
    65,
    162,
    31,
    45,
    67,
    216,
    183,
    123,
    164,
    118,
    196,
    23,
    73,
    236,
    127,
    12,
    111,
    246,
    108,
    161,
    59,
    82,
    41,
    157,
    85,
    170,
    251,
    96,
    134,
    177,
    187,
    204,
    62,
    90,
    203,
    89,
    95,
    176,
    156,
    169,
    160,
    81,
    11,
    245,
    22,
    235,
    122,
    117,
    44,
    215,
    79,
    174,
    213,
    233,
    230,
    231,
    173,
    232,
    116,
    214,
    244,
    234,
    168,
    80,
    88,
    175,
]</span>
</code>


    </article>
            </section>

        
            <section class="phpdocumentor-methods">
        <h3 class="phpdocumentor-elements__header" id="methods">
            Methods
            <a href="classes/chillerlan-QRCode-Common-GF256.html#methods" class="headerlink"><i class="fas fa-link"></i></a>

        </h3>
                    <article
        class="phpdocumentor-element
            -method
            -public
                                    -static                    "
>
    <h4 class="phpdocumentor-element__name" id="method_addOrSubtract">
        addOrSubtract()
        <a href="classes/chillerlan-QRCode-Common-GF256.html#method_addOrSubtract" class="headerlink"><i class="fas fa-link"></i></a>

    </h4>
    <aside class="phpdocumentor-element-found-in">
    <abbr class="phpdocumentor-element-found-in__file" title="src/Common/GF256.php"><a href="files/src-common-gf256.html"><abbr title="src/Common/GF256.php">GF256.php</abbr></a></abbr>
    :
    <span class="phpdocumentor-element-found-in__line">82</span>

    </aside>

        <p class="phpdocumentor-summary">Implements both addition and subtraction -- they are the same in GF(size).</p>

    <code class="phpdocumentor-code phpdocumentor-signature ">
    <span class="phpdocumentor-signature__visibility">public</span>
            <span class="phpdocumentor-signature__static">static</span>        <span class="phpdocumentor-signature__name">addOrSubtract</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">int&nbsp;</span><span class="phpdocumentor-signature__argument__name">$a</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">int&nbsp;</span><span class="phpdocumentor-signature__argument__name">$b</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">int</span></code>

    <div class="phpdocumentor-label-line">
        </div>
    
    
        <h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
    <dl class="phpdocumentor-argument-list">
                    <dt class="phpdocumentor-argument-list__entry">
                <span class="phpdocumentor-signature__argument__name">$a</span>
                : <span class="phpdocumentor-signature__argument__return-type">int</span>
                            </dt>
            <dd class="phpdocumentor-argument-list__definition">
                
            </dd>
                    <dt class="phpdocumentor-argument-list__entry">
                <span class="phpdocumentor-signature__argument__name">$b</span>
                : <span class="phpdocumentor-signature__argument__return-type">int</span>
                            </dt>
            <dd class="phpdocumentor-argument-list__definition">
                
            </dd>
            </dl>

    
            <section>
        <h5 class="phpdocumentor-return-value__heading">Return values</h5>
        <span class="phpdocumentor-signature__response_type">int</span>
                    &mdash;
                <section class="phpdocumentor-description"><p>sum/difference of a and b</p>
</section>

            </section>

</article>
                    <article
        class="phpdocumentor-element
            -method
            -public
                                    -static                    "
>
    <h4 class="phpdocumentor-element__name" id="method_buildMonomial">
        buildMonomial()
        <a href="classes/chillerlan-QRCode-Common-GF256.html#method_buildMonomial" class="headerlink"><i class="fas fa-link"></i></a>

    </h4>
    <aside class="phpdocumentor-element-found-in">
    <abbr class="phpdocumentor-element-found-in__file" title="src/Common/GF256.php"><a href="files/src-common-gf256.html"><abbr title="src/Common/GF256.php">GF256.php</abbr></a></abbr>
    :
    <span class="phpdocumentor-element-found-in__line">90</span>

    </aside>

    
    <code class="phpdocumentor-code phpdocumentor-signature ">
    <span class="phpdocumentor-signature__visibility">public</span>
            <span class="phpdocumentor-signature__static">static</span>        <span class="phpdocumentor-signature__name">buildMonomial</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">int&nbsp;</span><span class="phpdocumentor-signature__argument__name">$degree</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">int&nbsp;</span><span class="phpdocumentor-signature__argument__name">$coefficient</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type"><a href="classes/chillerlan-QRCode-Common-GenericGFPoly.html"><abbr title="\chillerlan\QRCode\Common\GenericGFPoly">GenericGFPoly</abbr></a></span></code>

    <div class="phpdocumentor-label-line">
        </div>
    
    
        <h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
    <dl class="phpdocumentor-argument-list">
                    <dt class="phpdocumentor-argument-list__entry">
                <span class="phpdocumentor-signature__argument__name">$degree</span>
                : <span class="phpdocumentor-signature__argument__return-type">int</span>
                            </dt>
            <dd class="phpdocumentor-argument-list__definition">
                
            </dd>
                    <dt class="phpdocumentor-argument-list__entry">
                <span class="phpdocumentor-signature__argument__name">$coefficient</span>
                : <span class="phpdocumentor-signature__argument__return-type">int</span>
                            </dt>
            <dd class="phpdocumentor-argument-list__definition">
                
            </dd>
            </dl>

    
    <h5 class="phpdocumentor-tag-list__heading" id="tags">
        Tags
        <a href="classes/chillerlan-QRCode-Common-GF256.html#method_buildMonomial#tags" class="headerlink"><i class="fas fa-link"></i></a>

    </h5>
    <dl class="phpdocumentor-tag-list">
                                    <dt class="phpdocumentor-tag-list__entry">
                    <span class="phpdocumentor-tag__name">throws</span>
                </dt>
                <dd class="phpdocumentor-tag-list__definition">
                                                                <span class="phpdocumentor-tag-link"><a href="classes/chillerlan-QRCode-QRCodeException.html"><abbr title="\chillerlan\QRCode\QRCodeException">QRCodeException</abbr></a></span>
                                                            
                                             
                                    </dd>
                                            </dl>

        
            <section>
        <h5 class="phpdocumentor-return-value__heading">Return values</h5>
        <span class="phpdocumentor-signature__response_type"><a href="classes/chillerlan-QRCode-Common-GenericGFPoly.html"><abbr title="\chillerlan\QRCode\Common\GenericGFPoly">GenericGFPoly</abbr></a></span>
                    &mdash;
                <section class="phpdocumentor-description"><p>the monomial representing coefficient * x^degree</p>
</section>

            </section>

</article>
                    <article
        class="phpdocumentor-element
            -method
            -public
                                    -static                    "
>
    <h4 class="phpdocumentor-element__name" id="method_exp">
        exp()
        <a href="classes/chillerlan-QRCode-Common-GF256.html#method_exp" class="headerlink"><i class="fas fa-link"></i></a>

    </h4>
    <aside class="phpdocumentor-element-found-in">
    <abbr class="phpdocumentor-element-found-in__file" title="src/Common/GF256.php"><a href="files/src-common-gf256.html"><abbr title="src/Common/GF256.php">GF256.php</abbr></a></abbr>
    :
    <span class="phpdocumentor-element-found-in__line">105</span>

    </aside>

    
    <code class="phpdocumentor-code phpdocumentor-signature ">
    <span class="phpdocumentor-signature__visibility">public</span>
            <span class="phpdocumentor-signature__static">static</span>        <span class="phpdocumentor-signature__name">exp</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">int&nbsp;</span><span class="phpdocumentor-signature__argument__name">$a</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">int</span></code>

    <div class="phpdocumentor-label-line">
        </div>
    
    
        <h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
    <dl class="phpdocumentor-argument-list">
                    <dt class="phpdocumentor-argument-list__entry">
                <span class="phpdocumentor-signature__argument__name">$a</span>
                : <span class="phpdocumentor-signature__argument__return-type">int</span>
                            </dt>
            <dd class="phpdocumentor-argument-list__definition">
                
            </dd>
            </dl>

    
            <section>
        <h5 class="phpdocumentor-return-value__heading">Return values</h5>
        <span class="phpdocumentor-signature__response_type">int</span>
                    &mdash;
                <section class="phpdocumentor-description"><p>2 to the power of $a in GF(size)</p>
</section>

            </section>

</article>
                    <article
        class="phpdocumentor-element
            -method
            -public
                                    -static                    "
>
    <h4 class="phpdocumentor-element__name" id="method_inverse">
        inverse()
        <a href="classes/chillerlan-QRCode-Common-GF256.html#method_inverse" class="headerlink"><i class="fas fa-link"></i></a>

    </h4>
    <aside class="phpdocumentor-element-found-in">
    <abbr class="phpdocumentor-element-found-in__file" title="src/Common/GF256.php"><a href="files/src-common-gf256.html"><abbr title="src/Common/GF256.php">GF256.php</abbr></a></abbr>
    :
    <span class="phpdocumentor-element-found-in__line">134</span>

    </aside>

    
    <code class="phpdocumentor-code phpdocumentor-signature ">
    <span class="phpdocumentor-signature__visibility">public</span>
            <span class="phpdocumentor-signature__static">static</span>        <span class="phpdocumentor-signature__name">inverse</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">int&nbsp;</span><span class="phpdocumentor-signature__argument__name">$a</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">int</span></code>

    <div class="phpdocumentor-label-line">
        </div>
    
    
        <h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
    <dl class="phpdocumentor-argument-list">
                    <dt class="phpdocumentor-argument-list__entry">
                <span class="phpdocumentor-signature__argument__name">$a</span>
                : <span class="phpdocumentor-signature__argument__return-type">int</span>
                            </dt>
            <dd class="phpdocumentor-argument-list__definition">
                
            </dd>
            </dl>

    
    <h5 class="phpdocumentor-tag-list__heading" id="tags">
        Tags
        <a href="classes/chillerlan-QRCode-Common-GF256.html#method_inverse#tags" class="headerlink"><i class="fas fa-link"></i></a>

    </h5>
    <dl class="phpdocumentor-tag-list">
                                    <dt class="phpdocumentor-tag-list__entry">
                    <span class="phpdocumentor-tag__name">throws</span>
                </dt>
                <dd class="phpdocumentor-tag-list__definition">
                                                                <span class="phpdocumentor-tag-link"><a href="classes/chillerlan-QRCode-QRCodeException.html"><abbr title="\chillerlan\QRCode\QRCodeException">QRCodeException</abbr></a></span>
                                                            
                                             
                                    </dd>
                                            </dl>

        
            <section>
        <h5 class="phpdocumentor-return-value__heading">Return values</h5>
        <span class="phpdocumentor-signature__response_type">int</span>
                    &mdash;
                <section class="phpdocumentor-description"><p>multiplicative inverse of a</p>
</section>

            </section>

</article>
                    <article
        class="phpdocumentor-element
            -method
            -public
                                    -static                    "
>
    <h4 class="phpdocumentor-element__name" id="method_log">
        log()
        <a href="classes/chillerlan-QRCode-Common-GF256.html#method_log" class="headerlink"><i class="fas fa-link"></i></a>

    </h4>
    <aside class="phpdocumentor-element-found-in">
    <abbr class="phpdocumentor-element-found-in__file" title="src/Common/GF256.php"><a href="files/src-common-gf256.html"><abbr title="src/Common/GF256.php">GF256.php</abbr></a></abbr>
    :
    <span class="phpdocumentor-element-found-in__line">121</span>

    </aside>

    
    <code class="phpdocumentor-code phpdocumentor-signature ">
    <span class="phpdocumentor-signature__visibility">public</span>
            <span class="phpdocumentor-signature__static">static</span>        <span class="phpdocumentor-signature__name">log</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">int&nbsp;</span><span class="phpdocumentor-signature__argument__name">$a</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">int</span></code>

    <div class="phpdocumentor-label-line">
        </div>
    
    
        <h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
    <dl class="phpdocumentor-argument-list">
                    <dt class="phpdocumentor-argument-list__entry">
                <span class="phpdocumentor-signature__argument__name">$a</span>
                : <span class="phpdocumentor-signature__argument__return-type">int</span>
                            </dt>
            <dd class="phpdocumentor-argument-list__definition">
                
            </dd>
            </dl>

    
    <h5 class="phpdocumentor-tag-list__heading" id="tags">
        Tags
        <a href="classes/chillerlan-QRCode-Common-GF256.html#method_log#tags" class="headerlink"><i class="fas fa-link"></i></a>

    </h5>
    <dl class="phpdocumentor-tag-list">
                                    <dt class="phpdocumentor-tag-list__entry">
                    <span class="phpdocumentor-tag__name">throws</span>
                </dt>
                <dd class="phpdocumentor-tag-list__definition">
                                                                <span class="phpdocumentor-tag-link"><a href="classes/chillerlan-QRCode-QRCodeException.html"><abbr title="\chillerlan\QRCode\QRCodeException">QRCodeException</abbr></a></span>
                                                            
                                             
                                    </dd>
                                            </dl>

        
            <section>
        <h5 class="phpdocumentor-return-value__heading">Return values</h5>
        <span class="phpdocumentor-signature__response_type">int</span>
                    &mdash;
                <section class="phpdocumentor-description"><p>base 2 log of $a in GF(size)</p>
</section>

            </section>

</article>
                    <article
        class="phpdocumentor-element
            -method
            -public
                                    -static                    "
>
    <h4 class="phpdocumentor-element__name" id="method_multiply">
        multiply()
        <a href="classes/chillerlan-QRCode-Common-GF256.html#method_multiply" class="headerlink"><i class="fas fa-link"></i></a>

    </h4>
    <aside class="phpdocumentor-element-found-in">
    <abbr class="phpdocumentor-element-found-in__file" title="src/Common/GF256.php"><a href="files/src-common-gf256.html"><abbr title="src/Common/GF256.php">GF256.php</abbr></a></abbr>
    :
    <span class="phpdocumentor-element-found-in__line">146</span>

    </aside>

    
    <code class="phpdocumentor-code phpdocumentor-signature ">
    <span class="phpdocumentor-signature__visibility">public</span>
            <span class="phpdocumentor-signature__static">static</span>        <span class="phpdocumentor-signature__name">multiply</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">int&nbsp;</span><span class="phpdocumentor-signature__argument__name">$a</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">int&nbsp;</span><span class="phpdocumentor-signature__argument__name">$b</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">int</span></code>

    <div class="phpdocumentor-label-line">
        </div>
    
    
        <h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
    <dl class="phpdocumentor-argument-list">
                    <dt class="phpdocumentor-argument-list__entry">
                <span class="phpdocumentor-signature__argument__name">$a</span>
                : <span class="phpdocumentor-signature__argument__return-type">int</span>
                            </dt>
            <dd class="phpdocumentor-argument-list__definition">
                
            </dd>
                    <dt class="phpdocumentor-argument-list__entry">
                <span class="phpdocumentor-signature__argument__name">$b</span>
                : <span class="phpdocumentor-signature__argument__return-type">int</span>
                            </dt>
            <dd class="phpdocumentor-argument-list__definition">
                
            </dd>
            </dl>

    
            <section>
        <h5 class="phpdocumentor-return-value__heading">Return values</h5>
        <span class="phpdocumentor-signature__response_type">int</span>
                    &mdash;
                <section class="phpdocumentor-description"><p>product of a and b in GF(size)</p>
</section>

            </section>

</article>
            </section>

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    <div class="phpdocumentor-modal-bg" data-exit-button></div>
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                                        <li><a href="classes/chillerlan-QRCode-Common-GF256.html#toc-constants">Constants</a></li>
                                                                                <li><a href="classes/chillerlan-QRCode-Common-GF256.html#toc-methods">Methods</a></li>
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                                                    <li class=""><a href="classes/chillerlan-QRCode-Common-GF256.html#constant_expTable">expTable</a></li>
                                                    <li class=""><a href="classes/chillerlan-QRCode-Common-GF256.html#constant_logTable">logTable</a></li>
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                                            <li class=""><a href="classes/chillerlan-QRCode-Common-GF256.html#method_addOrSubtract">addOrSubtract()</a></li>
                                            <li class=""><a href="classes/chillerlan-QRCode-Common-GF256.html#method_buildMonomial">buildMonomial()</a></li>
                                            <li class=""><a href="classes/chillerlan-QRCode-Common-GF256.html#method_exp">exp()</a></li>
                                            <li class=""><a href="classes/chillerlan-QRCode-Common-GF256.html#method_inverse">inverse()</a></li>
                                            <li class=""><a href="classes/chillerlan-QRCode-Common-GF256.html#method_log">log()</a></li>
                                            <li class=""><a href="classes/chillerlan-QRCode-Common-GF256.html#method_multiply">multiply()</a></li>
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