Vectorial bent functions in odd characteristic and their components

Basit Öğe Kaydı
dc.authoridCesmelioglu, Ayca/0000-0001-5049-9135
dc.authorwosidCesmelioglu, Ayca/AAE-4933-2020
dc.contributor.authorCesmelioglu, Ayca
dc.contributor.authorMeidl, Wilfried
dc.contributor.authorPott, Alexander
dc.date.accessioned2024-07-18T20:42:20Z
dc.date.available2024-07-18T20:42:20Z
dc.date.issued2020
dc.departmentİstanbul Bilgi Üniversitesien_US
dc.description.abstractBent functions in odd characteristic can be either (weakly) regular or non-weakly regular. Furthermore one can distinguish between dual-bent functions, which are bent functions for which the dual is bent as well, and non-dual bent functions. Whereas a weakly regular bent function always has a bent dual, a non-weakly regular bent function can be either dual-bent or non-dual-bent. The classical constructions (like quadratic bent functions, Maiorana-McFarland or partial spread) yield weakly regular bent functions, but meanwhile one knows constructions of infinite classes of non-weakly regular bent functions of both types, dual-bent and non-dual-bent. In this article we focus on vectorial bent functions in odd characteristic. We first show that mostp-ary bent monomials and binomials are actually vectorial constructions. In the second part we give a positive answer to the question if non-weakly regular bent functions can be components of a vectorial bent function. We present the first construction of vectorial bent functions of which the components are non-weakly regular but dual-bent, and the first construction of vectorial bent functions with non-dual-bent components.en_US
dc.description.sponsorshipFWF Project [P 30966]en_US
dc.description.sponsorshipW.M. is supported by the FWF Project P 30966.en_US
dc.identifier.doi10.1007/s12095-020-00444-0
dc.identifier.endpage912en_US
dc.identifier.issn1936-2447
dc.identifier.issn1936-2455
dc.identifier.issue5en_US
dc.identifier.scopus2-s2.0-85087991425en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage899en_US
dc.identifier.urihttps://doi.org/10.1007/s12095-020-00444-0
dc.identifier.urihttps://hdl.handle.net/11411/7249
dc.identifier.volume12en_US
dc.identifier.wosWOS:000548782000002en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofCryptography and Communications-Discrete-Structures Boolean Functions and Sequencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectVectorial Bent Functionsen_US
dc.subjectFinite-Fieldsen_US
dc.subjectConstructionsen_US
dc.subjectBoundsen_US
dc.titleVectorial bent functions in odd characteristic and their componentsen_US
dc.typeArticleen_US

Dosyalar

Koleksiyon

Web of Science Indexed Publications
Scopus Indexed Publications