View source for CCZ-inequivalent representatives from the known APN families for dimensions up to 11

CCZ-inequivalent APN Functions over <math>\mathbb{F}_{2^n}</math> from the Known APN Classes for <math>6\leqslant n \leqslant 11</math>

The function families are indexed according to the table of [[Known infinite families of APN power functions over GF(2^n)]] in the case of monomials, and according to the table of [[Known infinite families of quadratic APN polynomials over GF(2^n)]] in the case of polynomial families.

<table class="borderless">
<tr>
<th>Dimension</th>
<th><span class="htmlMath">N<sup>○</sup></span></th>
<th>Functions</th>
<th>Equivalent to</th>
<th>Walsh spectrum</th>
<th>Γ-rank</th>
<th>Δ-rank</th>
<th>Multiplier group</th>
</tr>

<tr class="divider">
<td rowspan="3"><span class="htmlMath">6</span></td>
<td class="noborderbelow"><span class="htmlMath">6.1</span></td>
<td><span class="htmlMath">x<sup>3</sup></span></td>
<td><span class="htmlMath">Gold</span></td>
<td>Gold</td>
<td>1102</td>
<td>94</td>
<td>24192 = 2<sup>7</sup> * 3<sup>3</sup> * 7</td>
</tr>


<tr>
<td class="noborderbelow"><span class="htmlMath">6.2</span></td>
<td><span class="htmlMath">x<sup>24</sup>+ax<sup>17</sup>+a<sup>8</sup>x<sup>10</sup>+ax<sup>9</sup>+x<sup>3</sup></span></td>
<td><span class="htmlMath">C3</span></td>
<td>Gold</td>
<td>1146</td>
<td>94</td>
<td>4032 = 2<sup>6</sup> * 3<sup>2</sup> * 7</td>
</tr>

<tr>
<td class="noborderbelow"><span class="htmlMath">6.3</span></td>
<td><span class="htmlMath">ax<sup>3</sup>+x<sup>17</sup>+a<sup>4</sup>x<sup>24</sup></span></td>
<td><span class="htmlMath">C7-C9</span></td>
<td>Gold</td>
<td>1166</td>
<td>96</td>
<td>896 = 2<sup>7</sup> * 7</td>
</tr>


<tr class="divider">
<td rowspan="7"><span class="htmlMath">7</span></td>
<td class="noborderbelow"><span class="htmlMath">7.1</span></td>
<td><span class="htmlMath">x<sup>3</sup></span></td>
<td><span class="htmlMath">Gold</span></td>
<td>Gold</td>
<td>3610</td>
<td>198</td>
<td>113792 = 2<sup>7</sup> * 7 * 127 </td>
</tr>


<tr>
<td class="noborderbelow"><span class="htmlMath">7.2</span></td>
<td><span class="htmlMath">x<sup>5</sup></span></td>
<td><span class="htmlMath">Gold</span></td>
<td>Gold</td>
<td>3708</td>
<td>198</td>
<td>113792 = 2<sup>7</sup> * 7 * 127 </td>
</tr>


<tr>
<td class="noborderbelow"><span class="htmlMath">7.3</span></td>
<td><span class="htmlMath">x<sup>9</sup></span></td>
<td><span class="htmlMath">Gold</span></td>
<td>Gold</td>
<td>3610</td>
<td>198</td>
<td>113792 = 2<sup>7</sup> * 7 * 127 </td>
</tr>


<tr>
<td class="noborderbelow"><span class="htmlMath">7.4</span></td>
<td><span class="htmlMath">x<sup>13</sup></span></td>
<td><span class="htmlMath">Kasami</span></td>
<td>Gold</td>
<td>4270</td>
<td>338</td>
<td>889 = 7 * 127</td>
</tr>

<tr>
<td class="noborderbelow"><span class="htmlMath">7.5</span></td>
<td><span class="htmlMath">x<sup>57</sup></span></td>
<td><span class="htmlMath">Kasami</span></td>
<td>Gold</td>
<td>4704</td>
<td>436</td>
<td>889 = 7 * 127</td>
</tr>


<tr>
<td class="noborderbelow"><span class="htmlMath">7.6</span></td>
<td><span class="htmlMath">x<sup>63</sup></span></td>
<td><span class="htmlMath">Inverse</span></td>
<td>Inverse</td>
<td>8128</td>
<td>4928</td>
<td>1778 = 2 * 7 * 127</td>
</tr>



<tr>
<td class="noborderbelow"><span class="htmlMath">7.7</span></td>
<td><span class="htmlMath">x<sup>3</sup>+<span class="latexCommand">Tr</span><sub>7</sub>(x<sup>9</sup>)</span></td>
<td><span class="htmlMath">C4</span></td>
<td>Gold</td>
<td>4026</td>
<td>212</td>
<td>896 = 2<sup>7</sup> * 7</td>
</tr>


<tr class="divider">
<td rowspan="8"><span class="htmlMath">8</span></td>
<td class="noborderbelow"><span class="htmlMath">8.1</span></td>
<td><span class="htmlMath">x<sup>3</sup></span></td>
<td><span class="htmlMath">Gold</span></td>
<td>Gold</td>
<td>11818</td>
<td>420</td>
<td>522240 = 2<sup>11</sup> * 3 * 5 * 17</td>
</tr>

<tr>
<td class="noborderbelow"><span class="htmlMath">8.2</span></td>
<td><span class="htmlMath">x<sup>9</sup></span></td>
<td><span class="htmlMath">Gold</span></td>
<td>Gold</td>
<td>12370</td>
<td>420</td>
<td>522240 = 2<sup>11</sup> * 3 * 5 * 17</td>
</tr>


<tr>
<td class="noborderbelow"><span class="htmlMath">8.3</span></td>
<td><span class="htmlMath">x<sup>57</sup></span></td>
<td><span class="htmlMath">Kasami</span></td>
<td>Gold</td>
<td>15358</td>
<td>960</td>
<td>2040 = 2<sup>3</sup> * 3 * 5 * 17</td>
</tr>

<tr>
<td class="noborderbelow"><span class="htmlMath">8.4</span></td>
<td><span class="htmlMath">x<sup>3</sup>+x<sup>17</sup>+p<sup>48</sup>x<sup>18</sup>+p<sup>3</sup>x<sup>33</sup>+px<sup>34</sup>+x<sup>48</sup></span></td>
<td><span class="htmlMath">C3</span></td>
<td>Gold</td>
<td>13200</td>
<td>414</td>
<td>46080 = 2<sup>10</sup> * 3<sup>2</sup> * 5</td>
</tr>

<tr>
<td class="noborderbelow"><span class="htmlMath">8.5</span></td>
<td><span class="htmlMath">x<sup>3</sup>+<span class="latexCommand">Tr</span><sub>8</sub>(x<sup>9</sup>)</span></td>
<td><span class="htmlMath">C4</span></td>
<td>Gold</td>
<td>13200</td>
<td>432</td>
<td>6144 = 2<sup>11</sup> * 3</td>
</tr>

<tr>
<td class="noborderbelow"><span class="htmlMath">8.6</span></td>
<td><span class="htmlMath">x<sup>3</sup>+a<sup>-1</sup><span class="latexCommand">Tr</span><sub>8</sub>(a<sup>3</sup>x<sup>9</sup>)</span></td>
<td><span class="htmlMath">C4</span></td>
<td>Gold</td>
<td>13842</td>
<td>436</td>
<td>3072 = 2<sup>10</sup> * 3</td>
</tr>

<tr>
<td class="noborderbelow"><span class="htmlMath">8.7</span></td>
<td><span class="htmlMath">a(x+x<sup>16</sup>)(ax+a<sup>16</sup>x<sup>16</sup>)+a<sup>17</sup>(ax+a<sup>16</sup>x<sup>16</sup>)<sup>12</sup></span></td>
<td><span class="htmlMath">C10</span></td>
<td>Gold</td>
<td>13642</td>
<td>436</td>
<td>46080 = 2<sup>10</sup> * 3<sup>2</sup> * 5</td>
</tr>

<tr>
<td class="noborderbelow"><span class="htmlMath">8.8</span></td>
<td><span class="htmlMath">x<sup>9</sup>+<span class="latexCommand">Tr</span><sub>8</sub>(x<sup>3</sup>)</span></td>
<td><span class="htmlMath">C11</span></td>
<td>Gold</td>
<td>13804</td>
<td>434</td>
<td>6144 = 2<sup>11</sup> * 3</td>
</tr>

<tr class="divider">
<td rowspan="11"><span class="htmlMath">9</span></td>
<td class="noborderbelow"><span class="htmlMath">9.1</span></td>
<td><span class="htmlMath">x<sup>3</sup></span></td>
<td><span class="htmlMath">Gold</span></td>
<td>Gold</td>
<td>38470</td>
<td>872</td>
<td>2354688 = 2<sup>9</sup> * 3<sup>2</sup> * 7 * 73</td>
</tr>


<tr>
<td class="noborderbelow"><span class="htmlMath">9.2</span></td>
<td><span class="htmlMath">x<sup>5</sup></span></td>
<td><span class="htmlMath">Gold</span></td>
<td>Gold</td>
<td>41494</td>
<td>872</td>
<td>2354688 = 2<sup>9</sup> * 3<sup>2</sup> * 7 * 73</td>
</tr>

<tr>
<td class="noborderbelow"><span class="htmlMath">9.3</span></td>
<td><span class="htmlMath">x<sup>17</sup></span></td>
<td><span class="htmlMath">Gold</span></td>
<td>Gold</td>
<td>38470</td>
<td>872</td>
<td>2354688 = 2<sup>9</sup> * 3<sup>2</sup> * 7 * 73</td>
</tr>

<tr>
<td class="noborderbelow"><span class="htmlMath">9.4</span></td>
<td><span class="htmlMath">x<sup>13</sup></span></td>
<td><span class="htmlMath">Kasami</span></td>
<td>Gold</td>
<td>58676</td>
<td>3086</td>
<td>4599 = 3<sup>2</sup> * 7 * 73</td>
</tr>

<tr>
<td class="noborderbelow"><span class="htmlMath">9.5</span></td>
<td><span class="htmlMath">x<sup>241</sup></span></td>
<td><span class="htmlMath">Kasami</span></td>
<td>Gold</td>
<td>61726</td>
<td>3482</td>
<td>4599 = 3<sup>2</sup> * 7 * 73</td>
</tr>

<tr>
<td class="noborderbelow"><span class="htmlMath">9.6</span></td>
<td><span class="htmlMath">x<sup>19</sup></span></td>
<td><span class="htmlMath">Welch</span></td>
<td>Gold</td>
<td>60894</td>
<td>3956</td>
<td>4599 = 3<sup>2</sup> * 7 * 73</td>
</tr>

<tr>
<td class="noborderbelow"><span class="htmlMath">9.7</span></td>
<td><span class="htmlMath">x<sup>255</sup></span></td>
<td><span class="htmlMath">Inverse</span></td>
<td>Inverse</td>
<td>130816</td>
<td>93024</td>
<td>9198 = 2 * 3<sup>2</sup> * 7 * 73</td>
</tr>

<tr>
<td class="noborderbelow"><span class="htmlMath">9.8</span></td>
<td><span class="htmlMath">x<sup>3</sup>+<span class="latexCommand">Tr</span><sub>9</sub>(x<sup>9</sup>)</span></td>
<td><span class="htmlMath">C4</span></td>
<td>Gold</td>
<td>47890</td>
<td>920</td>
<td>4608 = 2<sup>9</sup> * 3<sup>2</sup></td>
</tr>

<tr>
<td class="noborderbelow"><span class="htmlMath">9.9</span></td>
<td><span class="htmlMath">x<sup>3</sup>+<span class="latexCommand">Tr</span><sup>3</sup><sub>9</sub>(x<sup>9</sup>+x<sup>18</sup>)</span></td>
<td><span class="htmlMath">C5</span></td>
<td>Gold</td>
<td>48428</td>
<td>930</td>
<td>4608 = 2<sup>9</sup> * 3<sup>2</sup></td>
</tr>

<tr>
<td class="noborderbelow"><span class="htmlMath">9.10</span></td>
<td><span class="htmlMath">x<sup>3</sup>+<span class="latexCommand">Tr</span><sup>3</sup><sub>9</sub>(x<sup>18</sup>+x<sup>36</sup>)</span></td>
<td><span class="htmlMath">C6</span></td>
<td>Gold</td>
<td>48460</td>
<td>944</td>
<td>4608 = 2<sup>9</sup> * 3<sup>2</sup></td>
</tr>

<tr>
<td class="noborderbelow"><span class="htmlMath">9.11</span></td>
<td><span class="htmlMath">x<sup>3</sup>+a<sup>246</sup>x<sup>10</sup>+a<sup>47</sup>x<sup>17</sup>+a<sup>181</sup>x<sup>66</sup>+a<sup>428</sup>x<sup>129</sup></span></td>
<td><span class="htmlMath">C11</span></td>
<td>Gold</td>
<td>48596</td>
<td>944</td>
<td>10752 = 2<sup>9</sup> * 3 * 7</td>
</tr>

<tr class="divider">
<td rowspan="16"><span class="htmlMath">10</span></td>
<td class="noborderbelow"><span class="htmlMath">10.1</span></td>
<td><span class="htmlMath">x<sup>3</sup></span></td>
<td><span class="htmlMath">Gold</span></td>
<td>Gold</td>
<td>125042</td>
<td></td>
<td>10475520 = 2<sup>11</sup> * 3 * 5 * 11 * 31</td>
</tr>

<tr>
<td class="noborderbelow"><span class="htmlMath">10.2</span></td>
<td><span class="htmlMath">x<sup>9</sup></span></td>
<td><span class="htmlMath">Gold</span></td>
<td>Gold</td>
<td>136492</td>
<td></td>
<td>10475520 = 2<sup>11</sup> * 3 * 5 * 11 * 31</td>
</tr>

<tr>
<td class="noborderbelow"><span class="htmlMath">10.3</span></td>
<td><span class="htmlMath">x<sup>57</sup></span></td>
<td><span class="htmlMath">Kasami</span></td>
<td>Gold</td>
<td>186416</td>
<td></td>
<td>10230 = 2 * 3 * 5 * 11 * 31</td>
</tr>

<tr>
<td class="noborderbelow"><span class="htmlMath">10.4</span></td>
<td><span class="htmlMath">x<sup>339</sup></span></td>
<td><span class="htmlMath">Dobbertin</span></td>
<td>Dobbertin</td>
<td>280604</td>
<td></td>
<td>10230 = 2 * 3 * 5 * 11 * 31</td>
</tr>

<tr>
<td class="noborderbelow"><span class="htmlMath">10.5</span></td>
<td><span class="htmlMath">x<sup>6</sup>+x<sup>33</sup>+p<sup>31</sup>x<sup>192</sup></span></td>
<td><span class="htmlMath">C3</span></td>
<td>Gold</td>
<td>151216</td>
<td></td>
<td>476160 = 2<sup>10</sup> * 3 * 5 * 31</td>
</tr>

<tr>
<td class="noborderbelow"><span class="htmlMath">10.6</span></td>
<td><span class="htmlMath">x<sup>33</sup>+x<sup>72</sup>+p<sup>31</sup>x<sup>258</sup></span></td>
<td><span class="htmlMath">C3</span></td>
<td>Gold</td>
<td>153896</td>
<td></td>
<td>476160 = 2<sup>10</sup> * 3 * 5 * 31</td>
</tr>

<tr>
<td class="noborderbelow"><span class="htmlMath">10.7</span></td>
<td><span class="htmlMath">x<sup>3</sup>+<span class="latexCommand">Tr</span><sub>10</sub>(x<sup>9</sup>)</span></td>
<td><span class="htmlMath">C4</span></td>
<td>Gold</td>
<td>164034</td>
<td></td>
<td>30720 = 2<sup>11</sup> * 3 * 5</td>
</tr>

<tr>
<td class="noborderbelow"><span class="htmlMath">10.8</span></td>
<td><span class="htmlMath">x<sup>3</sup>+a<sup>-1</sup><span class="latexCommand">Tr</span><sub>10</sub>(a<sup>3</sup>x<sup>9</sup>)</span></td>
<td><span class="htmlMath">C4</span></td>
<td>Gold</td>
<td>164098</td>
<td></td>
<td>15360 = 2<sup>10</sup> * 3 * 5</td>
</tr>

<tr>
<td class="noborderbelow"><span class="htmlMath">10.9</span></td>
<td><span class="htmlMath">x<sup>3</sup> + p<sup>341</sup>x<sup>9</sup> + p<sup>682</sup>x<sup>96</sup> + x<sup>288</sup></span></td>
<td><span class="htmlMath">C13</span></td>
<td>Gold</td>
<td>166068</td>
<td></td>
<td>476160 = 2<sup>10</sup> * 3 * 5 * 31</td>
</tr>

<tr>
<td class="noborderbelow"><span class="htmlMath">10.10</span></td>
<td><span class="htmlMath">x<sup>3</sup> + p<sup>341</sup>x<sup>129</sup> + p<sup>682</sup>x<sup>96</sup> + x<sup>36</sup></span></td>
<td><span class="htmlMath">C13</span></td>
<td>Gold</td>
<td>166168</td>
<td></td>
<td>476160 = 2<sup>10</sup> * 3 * 5 * 31</td>
</tr>

<tr>
<td class="noborderbelow"><span class="htmlMath">10.11</span></td>
<td><span class="htmlMath">x<sup>3</sup> + a<sup>128</sup>x<sup>6</sup> + a<sup>384</sup>x<sup>12</sup> + a<sup>133</sup>x<sup>33</sup> + x<sup>34</sup> + a<sup>2</sup>x<sup>64</sup> + x<sup>65</sup> + a<sup>128</sup>x<sup>68</sup> + x<sup>96</sup> + a<sup>4</sup>x<sup>130</sup> + a<sup>260</sup>x<sup>136</sup> + a<sup>4</sup>x<sup>192</sup> + a<sup>136</sup>x<sup>260</sup> + a<sup>12</sup>x<sup>384</sup></span></td>
<td><span class="htmlMath">C12</span></td>
<td>Gold</td>
<td>162550</td>
<td></td>
<td>158720</td>
</tr>

<tr>
<td class="noborderbelow"><span class="htmlMath">10.12</span></td>
<td><span class="htmlMath">x<sup>3</sup> + a<sup>920</sup>x<sup>6</sup> + a<sup>153</sup>x<sup>12</sup> + a<sup>925</sup>x<sup>33</sup> + x<sup>34</sup> + a<sup>794</sup>x<sup>64</sup> + x<sup>65</sup> + a<sup>920</sup>x<sup>68</sup> + x<sup>96</sup> + a<sup>796</sup>x<sup>130</sup> + a<sup>29</sup>x<sup>136</sup> + a<sup>796</sup>x<sup>192</sup> + a<sup>928</sup>x<sup>260</sup> + a<sup>804</sup>x<sup>384</sup>                                                                                                                          </span></td>
<td><span class="htmlMath">C12</span></td>
<td>Gold</td>
<td>163400</td>
<td></td>
<td>31744</td>
</tr>

<tr>
<td class="noborderbelow"><span class="htmlMath">10.13</span></td>
<td><span class="htmlMath">x<sup>3</sup> + p<sup>788</sup>x<sup>6</sup> + p<sup>21</sup>x<sup>12</sup> + p<sup>793</sup>x<sup>33</sup> + x<sup>34</sup> + p<sup>662</sup>x<sup>64</sup> + x<sup>65</sup> + p<sup>788</sup>x<sup>68</sup> + x<sup>96</sup> + p<sup>664</sup>x<sup>130</sup> + p<sup>920</sup>x<sup>136</sup> + p<sup>664</sup>x<sup>192</sup> + p<sup>796</sup>x<sup>260</sup> + p<sup>672</sup>x<sup>384</sup></span></td>
<td><span class="htmlMath">C12</span></td>
<td>Gold</td>
<td>163398</td>
<td></td>
<td>31744</td>
</tr>

<tr>
<td class="noborderbelow"><span class="htmlMath">10.14</span></td>
<td><span class="htmlMath">x<sup>5</sup> + p<sup>576</sup>x<sup>18</sup> + p<sup>512</sup>x<sup>20</sup> + p<sup>133</sup>x<sup>33</sup> + x<sup>36</sup> + p<sup>2</sup>x<sup>64</sup> + p<sup>514</sup>x<sup>80</sup> + x<sup>129</sup> + p<sup>512</sup>x<sup>144</sup> + x<sup>160</sup> + p<sup>80</sup>x<sup>514</sup> + p<sup>16</sup>x<sup>516</sup> + p<sup>18</sup>x<sup>576</sup> + p<sup>16</sup>x<sup>640</sup></span></td>
<td><span class="htmlMath">C12</span></td>
<td>Gold</td>
<td>163308</td>
<td></td>
<td>158720</td>
</tr>

<tr>
<td class="noborderbelow"><span class="htmlMath">10.15</span></td>
<td><span class="htmlMath">x<sup>5</sup> + a<sup>477</sup>x<sup>18</sup> + a<sup>413</sup>x<sup>20</sup> + a<sup>34</sup>x<sup>33</sup> + x<sup>36</sup> + a<sup>926</sup>x<sup>64</sup> + a<sup>415</sup>x<sup>80</sup> + x<sup>129</sup> + a<sup>413</sup>x<sup>144</sup> + x<sup>160</sup> + a<sup>1004</sup>x<sup>514</sup> + a<sup>940</sup>x<sup>516</sup> + a<sup>942</sup>x<sup>576</sup> + a<sup>940</sup>x<sup>640</sup></span></td>
<td><span class="htmlMath">C12</span></td>
<td>Gold</td>
<td>164026</td>
<td></td>
<td>31744</td>
</tr>

<tr>
<td class="noborderbelow"><span class="htmlMath">10.16</span></td>
<td><span class="htmlMath">x<sup>5</sup> + a<sup>81</sup>x<sup>18</sup> + a<sup>17</sup>x<sup>20</sup> + a<sup>661</sup>x<sup>33</sup> + x<sup>36</sup> + a<sup>530</sup>x<sup>64</sup> + a<sup>19</sup>x<sup>80</sup> + x<sup>129</sup> + a<sup>17</sup>x<sup>144</sup> + x<sup>160</sup> + a<sup>608</sup>x<sup>514</sup> + a<sup>544</sup>x<sup>516</sup> + a<sup>546</sup>x<sup>576</sup> + a<sup>544</sup>x<sup>640</sup></span></td>
<td><span class="htmlMath">C12</span></td>
<td>Gold</td>
<td>164026</td>
<td></td>
<td>31744</td>
</tr>

<tr class="divider">
<td rowspan="13"><span class="htmlMath">11</span></td>
<td class="noborderbelow"><span class="htmlMath">11.1</span></td>
<td><span class="htmlMath">x<sup>3</sup></span></td>
<td><span class="htmlMath">Gold</span></td>
<td>Gold</td>
<td></td>
<td></td>
<td></td>
</tr>

<tr>
<td class="noborderbelow"><span class="htmlMath">11.2</span></td>
<td><span class="htmlMath">x<sup>5</sup></span></td>
<td><span class="htmlMath">Gold</span></td>
<td>Gold</td>
<td></td>
<td></td>
<td></td>
</tr>

<tr>
<td class="noborderbelow"><span class="htmlMath">11.3</span></td>
<td><span class="htmlMath">x<sup>9</sup></span></td>
<td><span class="htmlMath">Gold</span></td>
<td>Gold</td>
<td></td>
<td></td>
<td></td>
</tr>

<tr>
<td class="noborderbelow"><span class="htmlMath">11.4</span></td>
<td><span class="htmlMath">x<sup>17</sup></span></td>
<td><span class="htmlMath">Gold</span></td>
<td>Gold</td>
<td></td>
<td></td>
<td></td>
</tr>

<tr>
<td class="noborderbelow"><span class="htmlMath">11.5</span></td>
<td><span class="htmlMath">x<sup>33</sup></span></td>
<td><span class="htmlMath">Gold</span></td>
<td>Gold</td>
<td></td>
<td></td>
<td></td>
</tr>

<tr>
<td class="noborderbelow"><span class="htmlMath">11.6</span></td>
<td><span class="htmlMath">x<sup>13</sup></span></td>
<td><span class="htmlMath">Kasami</span></td>
<td>Gold</td>
<td></td>
<td></td>
<td></td>
</tr>

<tr>
<td class="noborderbelow"><span class="htmlMath">11.7</span></td>
<td><span class="htmlMath">x<sup>57</sup></span></td>
<td><span class="htmlMath">Kasami</span></td>
<td>Gold</td>
<td></td>
<td></td>
<td></td>
</tr>

<td class="noborderbelow"><span class="htmlMath">11.8</span></td>
<td><span class="htmlMath">x<sup>241</sup></span></td>
<td><span class="htmlMath">Kasami</span></td>
<td>Gold</td>
<td></td>
<td></td>
<td></td>
</tr>

<td class="noborderbelow"><span class="htmlMath">11.9</span></td>
<td><span class="htmlMath">x<sup>993</sup></span></td>
<td><span class="htmlMath">Kasami</span></td>
<td>Gold</td>
<td></td>
<td></td>
<td></td>
</tr>

<td class="noborderbelow"><span class="htmlMath">11.10</span></td>
<td><span class="htmlMath">x<sup>35</sup></span></td>
<td><span class="htmlMath">Welch</span></td>
<td>Gold</td>
<td></td>
<td></td>
<td></td>
</tr>

<td class="noborderbelow"><span class="htmlMath">11.11</span></td>
<td><span class="htmlMath">x<sup>287</sup></span></td>
<td><span class="htmlMath">Niho</span></td>
<td>Gold</td>
<td></td>
<td></td>
<td></td>
</tr>

<td class="noborderbelow"><span class="htmlMath">11.12</span></td>
<td><span class="htmlMath">x<sup>1023</sup></span></td>
<td><span class="htmlMath">Inverse</span></td>
<td>Inverse</td>
<td></td>
<td></td>
<td></td>
</tr>

<td class="noborderbelow"><span class="htmlMath">11.13</span></td>
<td><span class="htmlMath">x<sup>3</sup>+<span class="latexCommand">Tr</span><sub>11</sub>(x<sup>9</sup>)</span></td>
<td><span class="htmlMath">C4</span></td>
<td>Gold</td>
<td></td>
<td></td>
<td></td>
</tr>


</table>

Note: In dimension 10, not all instances of family C11 have been checked. The ones that we have checked are CCZ-equivalent to the representatives currently given in the table above, but, at the moment, we cannot assert that the representatives from the table exhaust all possible CCZ-classes corresponding to C11 in dimension 10.