1 Ocak 2017 Konferans bildirisi Açık Erişim

Kavut, Selcuk; Baloglu, Sevdenur

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<oai_dc:dc xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
  <dc:creator>Kavut, Selcuk</dc:creator>
  <dc:creator>Baloglu, Sevdenur</dc:creator>
  <dc:date>2017-01-01</dc:date>
  <dc:description>We give an efficient exhaustive search algorithm to enumerate 6x6 bijective S-boxes with the best known nonlinearity 24 in a class of S-boxes that are symmetric under the permutation tau (x) = (x(0), x(2), x(3), x(4), x(5), x(1)), where x = (x(0), x(1), ... , x(5)). is an element of F-2(6). Since any S-box S : F-2(6)-&gt; F-2(6) in this class has the property that S(tau (x)) = tau (S(x)) for all x, it can be considered as a construction obtained by the concatenation of 5 x 5 rotation-symmetric S-boxes (RSSBs). The size of the search space, i.e., the number of S-boxes belonging to the class, is 2(61.28). By performing our algorithm, we find that there exist 2(37.56) S-boxes with nonlinearity 24 and among them the number of differentially 4-uniform ones is 2(33.99), which indicates that the concatenation method provides a rich class in terms of high nonlinearity and low differential uniformity. Moreover, we classify those S-boxes achieving the best possible trade-off between nonlinearity and differential uniformity within the class with respect to absolute indicator, algebraic degree, and transparency order.</dc:description>
  <dc:identifier>https://aperta.ulakbim.gov.trrecord/46099</dc:identifier>
  <dc:identifier>oai:zenodo.org:46099</dc:identifier>
  <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
  <dc:rights>http://www.opendefinition.org/licenses/cc-by</dc:rights>
  <dc:title>Classification of 6 x 6 S-boxes Obtained by Concatenation of RSSBs</dc:title>
  <dc:type>info:eu-repo/semantics/conferencePaper</dc:type>
  <dc:type>publication-conferencepaper</dc:type>
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