1 Ocak 2017 Konferans bildirisi Açık Erişim

Kavut, Selcuk; Baloglu, Sevdenur

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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/46099</identifier>
  <creators>
    <creator>
      <creatorName>Kavut, Selcuk</creatorName>
      <givenName>Selcuk</givenName>
      <familyName>Kavut</familyName>
      <affiliation>Balikesir Univ, Dept Comp Engn, TR-10145 Balikesir, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Baloglu, Sevdenur</creatorName>
      <givenName>Sevdenur</givenName>
      <familyName>Baloglu</familyName>
      <affiliation>Middle East Tech Univ, Inst Appl Math, TR-06800 Ankara, Turkey</affiliation>
    </creator>
  </creators>
  <titles>
    <title>Classification Of 6 X 6 S-Boxes Obtained By Concatenation Of Rssbs</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2017</publicationYear>
  <dates>
    <date dateType="Issued">2017-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Conference paper</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/46099</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.1007/978-3-319-55714-4_8</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="http://www.opendefinition.org/licenses/cc-by">Creative Commons Attribution</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
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  <descriptions>
    <description descriptionType="Abstract">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)-&amp;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.</description>
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