1 Ocak 2017 Dergi makalesi Açık Erişim

Akyildiz, Ersan; Harold, Ndangang Yampa; Sinak, Ahmet

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{
  "@context": "https://schema.org/", 
  "@id": 48975, 
  "@type": "ScholarlyArticle", 
  "creator": [
    {
      "@type": "Person", 
      "name": "Akyildiz, Ersan"
    }, 
    {
      "@type": "Person", 
      "affiliation": "Middle East Techn Univ, Inst Appl Math, Ankara, Turkey", 
      "name": "Harold, Ndangang Yampa"
    }, 
    {
      "@type": "Person", 
      "name": "Sinak, Ahmet"
    }
  ], 
  "datePublished": "2017-01-01", 
  "description": "Representation of a field element plays a crucial role in the efficiency of field arithmetic. If an efficient representation of a field element in one basis exists, then field arithmetic in the hardware and/or software implementations becomes easy. Otherwise, a basis conversion to an efficient one is searched for easier arithmetic. However, this conversion often brings a storage problem for transition matrices associated with these bases. In this paper, we study this problem for conversion between normal and polynomial bases in the extension field F-qp over F-q where q = p(n). We construct transition matrices that are of a special form. This provides free storage basis conversion algorithms between normal and polynomial bases, which is crucial from the implementation point of view.", 
  "headline": "Free storage basis conversion over finite fields", 
  "identifier": 48975, 
  "image": "https://aperta.ulakbim.gov.tr/static/img/logo/aperta_logo_with_icon.svg", 
  "license": "http://www.opendefinition.org/licenses/cc-by", 
  "name": "Free storage basis conversion over finite fields", 
  "url": "https://aperta.ulakbim.gov.tr/record/48975"
}