1 Ocak 2017 Konferans bildirisi Açık Erişim

Kavut, Selcuk; Baloglu, Sevdenur

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{
  "@context": "https://schema.org/", 
  "@id": 46099, 
  "@type": "ScholarlyArticle", 
  "creator": [
    {
      "@type": "Person", 
      "affiliation": "Balikesir Univ, Dept Comp Engn, TR-10145 Balikesir, Turkey", 
      "name": "Kavut, Selcuk"
    }, 
    {
      "@type": "Person", 
      "affiliation": "Middle East Tech Univ, Inst Appl Math, TR-06800 Ankara, Turkey", 
      "name": "Baloglu, Sevdenur"
    }
  ], 
  "datePublished": "2017-01-01", 
  "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)-> 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.", 
  "headline": "Classification of 6 x 6 S-boxes Obtained by Concatenation of RSSBs", 
  "identifier": 46099, 
  "image": "https://aperta.ulakbim.gov.tr/static/img/logo/aperta_logo_with_icon.svg", 
  "license": "http://www.opendefinition.org/licenses/cc-by", 
  "name": "Classification of 6 x 6 S-boxes Obtained by Concatenation of RSSBs", 
  "url": "https://aperta.ulakbim.gov.tr/record/46099"
}