Known instances of APN functions over GF(2^7) - Revision history

http://boolean.wiki.uib.no/index.php?action=history&feed=atom&title=Known_instances_of_APN_functions_over_GF%282%5E7%29 Known instances of APN functions over GF(2^7) - Revision history 2026-05-28T15:28:06Z Revision history for this page on the wiki MediaWiki 1.39.6 http://boolean.wiki.uib.no/index.php?title=Known_instances_of_APN_functions_over_GF(2%5E7)&diff=499&oldid=prev Nikolay: Nikolay moved page Known quadratic APN polynomial functions over GF(2^7) to Known instances of APN functions over GF(2^7) 2020-07-09T17:47:52Z

<p>Nikolay moved page <a href="/Known_quadratic_APN_polynomial_functions_over_GF(2%5E7)" class="mw-redirect" title="Known quadratic APN polynomial functions over GF(2^7)">Known quadratic APN polynomial functions over GF(2^7)</a> to <a href="/Known_instances_of_APN_functions_over_GF(2%5E7)" title="Known instances of APN functions over GF(2^7)">Known instances of APN functions over GF(2^7)</a></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <tr class="diff-title" lang="language"> <td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 17:47, 9 July 2020</td> </tr><tr><td colspan="2" class="diff-notice" lang="language"><div class="mw-diff-empty">(No difference)</div> </td></tr></table>

Nikolay http://boolean.wiki.uib.no/index.php?title=Known_instances_of_APN_functions_over_GF(2%5E7)&diff=498&oldid=prev Nikolay at 17:43, 9 July 2020 2020-07-09T17:43:51Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="language"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 17:43, 9 July 2020</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>The following table lists all currently known APN polynomials over <math>\mathbb{F}_{2^7}</math>. The majority of these were obtained by the matrix method described in <ref name="yuyin">Yu <del style="font-weight: bold; text-decoration: none;">Y</del>, Wang <del style="font-weight: bold; text-decoration: none;">M</del>, Li <del style="font-weight: bold; text-decoration: none;">Y</del>. A matrix approach for constructing quadratic APN functions. Designs, <del style="font-weight: bold; text-decoration: none;">codes </del>and <del style="font-weight: bold; text-decoration: none;">cryptography</del>. <del style="font-weight: bold; text-decoration: none;">2014 Nov 1;73(2):</del>587-600.</ref> and appear there for the first time. The table is compiled from Appendix 1 in <ref name="yuyin" />. The symbol "g" in the table is a primitive element of <math>\mathbb{F}_{2^7}</math>.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>The following table lists all currently known APN polynomials over <math>\mathbb{F}_{2^7}</math>. The majority of these were obtained by the matrix method described in <ref name="yuyin"><ins style="font-weight: bold; text-decoration: none;">Y. </ins>Yu, <ins style="font-weight: bold; text-decoration: none;">M. </ins>Wang, <ins style="font-weight: bold; text-decoration: none;">Y. </ins>Li. A matrix approach for constructing quadratic APN functions. Designs, <ins style="font-weight: bold; text-decoration: none;">Codes </ins>and <ins style="font-weight: bold; text-decoration: none;">Cryptography 73, pp</ins>. 587-600<ins style="font-weight: bold; text-decoration: none;">, 2014</ins>. <ins style="font-weight: bold; text-decoration: none;">https://doi.org/10.1007/s10623-014-9955-3</ins></ref> and appear there for the first time. The table is compiled from Appendix 1 in <ref name="yuyin" />. The symbol "g" in the table is a primitive element of <math>\mathbb{F}_{2^7}</math>.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Source code for <i>Magma</i> which produces a sequence of these functions in the same order as given in the table [[:File:Quadratic_apn_polynomials_7.txt|is available]].</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Source code for <i>Magma</i> which produces a sequence of these functions in the same order as given in the table [[:File:Quadratic_apn_polynomials_7.txt|is available <ins style="font-weight: bold; text-decoration: none;">here</ins>]].</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><table></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><table></div></td></tr> </table>

Nikolay http://boolean.wiki.uib.no/index.php?title=Known_instances_of_APN_functions_over_GF(2%5E7)&diff=250&oldid=prev Nikolay: Created page with "The following table lists all currently known APN polynomials over <math>\mathbb{F}_{2^7}</math>. The majority of these were obtained by the matrix method described in <ref na..." 2019-07-15T10:05:35Z

<p>Created page with "The following table lists all currently known APN polynomials over <math>\mathbb{F}_{2^7}</math>. The majority of these were obtained by the matrix method described in <ref na..."</p> <a href="http://boolean.wiki.uib.no/index.php?title=Known_instances_of_APN_functions_over_GF(2%5E7)&diff=250">Show changes</a>

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