Free storage basis conversion over finite fields

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dc.authoridAhmet Sınak: 0000-0002-1071-765Xen_US
dc.contributor.authorAkyıldız, Ersan
dc.contributor.authorHarold, Ndangang Yampa
dc.contributor.authorSınak, Ahmet
dc.date.accessioned2020-01-18T21:03:00Z
dc.date.available2020-01-18T21:03:00Z
dc.date.issued2017
dc.departmentNEÜ, Fen Fakültesi, Matematik ve Bilgisayar Bilimleri Bölümüen_US
dc.descriptionWOS:000392340700010en_US
dc.description.abstractRepresentation 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 Fqp over Fq 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.en_US
dc.identifier.citationSınak, A., Akyıldız, E., Harold, N. Y. (2017). Free storage basis conversion over finite fields. Turkish Journal of Mathematics, 41, 1, 96-109.en_US
dc.identifier.doi10.3906/mat-1503-84en_US
dc.identifier.endpage109en_US
dc.identifier.issn1300-0098en_US
dc.identifier.issn1303-6149en_US
dc.identifier.issue1en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage96en_US
dc.identifier.urihttps://app.trdizin.gov.tr/makale/TWpRMU9ESTJOZz09/free-storage-basis-conversion-over-finite-fields
dc.identifier.urihttps://hdl.handle.net/20.500.12452/1405
dc.identifier.volume41en_US
dc.identifier.wosWOS:000392340700010en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakTR-Dizinen_US
dc.language.isoenen_US
dc.relation.ispartofTurkish Journal of Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US]
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectWelding oscillatoren_US
dc.subjectAutomationen_US
dc.subjectControlen_US
dc.subjectSmart weldingen_US
dc.subjectStepper motoren_US
dc.titleFree storage basis conversion over finite fieldsen_US
dc.typeArticleen_US

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