Secondary constructions of (non)weakly regular plateaued functions over finite fields

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dc.contributor.authorMesnager, Sihem
dc.contributor.authorOzbudak, Ferruh
dc.contributor.authorSinak, Ahmet
dc.date.accessioned2024-02-23T14:37:21Z
dc.date.available2024-02-23T14:37:21Z
dc.date.issued2021
dc.departmentNEÜen_US
dc.description.abstractPlateaued (vectorial) functions over finite fields have diverse applications in symmetric cryptography, coding theory, and sequence theory. Constructing these functions is an attractive research topic in the literature. We can distinguish two kinds of constructions of plateaued functions: secondary constructions and primary constructions. The first method uses already known functions to obtain new functions while the latter do not need to use previously constructed functions to obtain new functions. In this work, the first secondary constructions of (non)weakly regular plateaued (vectorial) functions are presented over the finite fields of odd characteristics. We also introduce some recursive constructions of (non)weakly regular plateaued p-ary functions by using already known such functions. We obtain nontrivial plateaued functions from the previously known trivial plateaued (partially bent) functions in the proposed construction methods.en_US
dc.identifier.doi10.3906/mat-2104-5
dc.identifier.endpage2306en_US
dc.identifier.issn1300-0098
dc.identifier.issn1303-6149
dc.identifier.issue5en_US
dc.identifier.scopus2-s2.0-85115737280en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage2295en_US
dc.identifier.urihttps://doi.org/10.3906/mat-2104-5
dc.identifier.urihttps://hdl.handle.net/20.500.12452/16066
dc.identifier.volume45en_US
dc.identifier.wosWOS:000697164500001en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherTubitak Scientific & Technological Research Council Turkeyen_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.subjectP-Ary Functionsen_US
dc.subjectPlateaued Functionsen_US
dc.subject(Non)Weakly Regular Plateaued Functionsen_US
dc.subjectSecondary Constructionen_US
dc.titleSecondary constructions of (non)weakly regular plateaued functions over finite fieldsen_US
dc.typeArticleen_US

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