<?xml version="1.0" encoding="UTF-8"?>
<article article-type="Research Article">
  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher">journal-of-discrete-mathematical-sciences-and-cryptography</journal-id>
      <journal-title-group>
        <journal-title>Journal of Discrete Mathematical Sciences and Cryptography</journal-title>
      </journal-title-group>
      <issn publication-format="electronic">2169-0065</issn>
      <issn publication-format="print">0972-0529</issn>
      <publisher>
        <publisher-name>Taru Publications</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.47974/JDMSC-1724</article-id>
      <title-group>
        <article-title>Keyed S-boxes from sponge functions</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Merwe</surname>
            <given-names>Arthur van der</given-names>
          </name>
          <aff>School of Science and Technology, University of New England, Armidale, NSW, 2351, Australia</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Paul</surname>
            <given-names>David</given-names>
          </name>
          <aff>School of Science and Technology, University of New England, Armidale, NSW, 2351, Australia</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Schmalz</surname>
            <given-names>Jelena</given-names>
          </name>
          <aff>School of Science and Technology, University of New England, Armidale, NSW, 2351, Australia</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Schaerf</surname>
            <given-names>Timothy M.</given-names>
          </name>
          <aff>School of Science and Technology, University of New England, Armidale, NSW, 2351, Australia</aff>
        </contrib>
      </contrib-group>
      <volume>27</volume>
      <issue>8</issue>
      <fpage>2241</fpage>
      <lpage>2254</lpage>
      <pub-date date-type="pub">
        <day>18</day>
        <month>12</month>
        <year>2024</year>
      </pub-date>
      <abstract>
        <p>This paper examines the generation of key-dependent S-boxes using sponge functions. In this study, we render 8-bit key-dependent S-boxes employing a novel approach that contrasts previous techniques using a mixing strategy. We test the efficiency and security of the resultant S-boxes by performing a sequence of experiments. We consider the integration of the keyed S-boxes into a symmetric cipher and determine the probability of differential cryptanalysis. We found that the maximum differential distribution is approximately 12/256 or ≈ 2–6, with a mean of roughly 11/256 and a standard deviation of 1.2/256. Our review of other methods concludes that they have the same maximum differential distribution, while our generation method is significantly faster. We conclude by characterising future research on keyed S-boxes in a white-box context.</p>
      </abstract>
      <kwd-group>
        <kwd>Sponge</kwd>
        <kwd>Symmetric</kwd>
        <kwd>Encryption</kwd>
        <kwd>S-box</kwd>
        <kwd>Dynamic</kwd>
        <kwd>White-box encryption</kwd>
      </kwd-group>
      <custom-meta-group>
        <custom-meta>
          <meta-name>access</meta-name>
          <meta-value>open</meta-value>
        </custom-meta>
        <custom-meta>
          <meta-name>retracted</meta-name>
          <meta-value>no</meta-value>
        </custom-meta>
      </custom-meta-group>
    </article-meta>
  </front>
</article>
