Non weakly regular bent polynomials from vectorial quadratic functions

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dc.contributor.authorÇeşmelioğlu, Ayça
dc.contributor.authorMeidl, Wilfried
dc.date.accessioned2021-05-15T12:40:36Z
dc.date.available2021-05-15T12:40:36Z
dc.date.issued2015
dc.departmentMühendislik ve Doğa Bilimleri Fakültesi, Mimarlık Bölümüen_US
dc.description11th International Conference on Finite Fields and their Applications -- JUL 22-26, 2013 -- Magdeburg, GERMANY
dc.description.abstractThe Fourier spectrum of some classes of vectorial quadratic functions is analysed. We obtain counting functions for vectorial quadratic functions with prescribed Fourier spectrum using discrete Fourier transform. Vectorial quadratic functions with prescribed Fourier spectrum are then used to construct polynomials in F-pn [x] inducing non weakly regular bent functions from F-pn. to F-p in even dimension n. With a class of vectorial 2-plateaued binomials we explicitly present one infinite class of non weakly regular bent functions with a simple representation.en_US
dc.description.sponsorshipGerman Res Fdn, Otto von Guericke Univ Magdeburgen_US
dc.identifier.doi10.1090/conm/632/12620
dc.identifier.endpage93en_US
dc.identifier.isbn978-0-8218-9860-4
dc.identifier.issn0271-4132
dc.identifier.scopus2-s2.0-85051022157
dc.identifier.scopusqualityQ3
dc.identifier.startpage83en_US
dc.identifier.urihttps://doi.org/10.1090/conm/632/12620
dc.identifier.urihttps://hdl.handle.net/20.500.12939/629
dc.identifier.volume632en_US
dc.identifier.wosWOS:000361092200007
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorÇeşmelioğlu, Ayça
dc.language.isoen
dc.publisherAmer Mathematical Socen_US
dc.relation.ispartofTopics in Finite Fields
dc.relation.ispartofseriesContemporary Mathematics
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectBent Functionen_US
dc.subjectNon Weakly Regular Benten_US
dc.subjectVectorial Quadratic Functionen_US
dc.subjectVectorial Partially Bent Functionen_US
dc.subjectDiscrete Fourier Transformen_US
dc.titleNon weakly regular bent polynomials from vectorial quadratic functions
dc.typeConference Object

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