Complete Characterization of a Class of Permutation Trinomials in Characteristic Five

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dc.authorscopusid7004572871
dc.authorscopusid6603589033
dc.authorscopusid57190189096
dc.authorscopusid22136765100
dc.contributor.authorGrassl,M.
dc.contributor.authorÖzbudak,F.
dc.contributor.authorÖzkaya,B.
dc.contributor.authorTemür,B.G.
dc.date.accessioned2024-07-05T15:50:42Z
dc.date.available2024-07-05T15:50:42Z
dc.date.issued2024
dc.departmentAtılım Universityen_US
dc.department-tempGrassl M., International Centre for Theory of Quantum Technologies, University of Gdansk, Gdansk, Poland; Özbudak F., FENS, Sabancı University, Ístanbul, Turkey; Özkaya B., Institute of Applied Mathematics, Middle East Technical University, Ankara, Turkey; Temür B.G., Department of Mathematics, Atılım University, Ankara, Turkeyen_US
dc.description.abstractIn this paper, we address an open problem posed by Bai and Xia in [2]. We study polynomials of the form f(x)=x4q+1+λ1x5q+λ2xq+4 over the finite field F5k, which are not quasi-multiplicative equivalent to any of the known permutation polynomials in the literature. We find necessary and sufficient conditions on λ1,λ2∈F5k so that f(x) is a permutation monomial, binomial, or trinomial of F52k. © The Author(s) 2024.en_US
dc.description.sponsorshipTÜİTAK; European Commission, EC; Fundacja na rzecz Nauki Polskiej, FNP; Türkiye Bilimsel ve Teknolojik Araştırma Kurumu, TÜBİTAKen_US
dc.identifier.citationcount0
dc.identifier.doi10.1007/s12095-024-00705-2
dc.identifier.endpage841en_US
dc.identifier.issn1936-2447
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85185476761
dc.identifier.scopusqualityQ3
dc.identifier.startpage825en_US
dc.identifier.urihttps://doi.org/10.1007/s12095-024-00705-2
dc.identifier.urihttps://hdl.handle.net/20.500.14411/4167
dc.identifier.volume16en_US
dc.identifier.wosqualityQ2
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofCryptography and Communicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.scopus.citedbyCount1
dc.subject11T71en_US
dc.subject12E10en_US
dc.subjectAbsolutely irreducibleen_US
dc.subjectFinite fieldsen_US
dc.subjectMSC 11T06en_US
dc.subjectPermutation polynomialsen_US
dc.titleComplete Characterization of a Class of Permutation Trinomials in Characteristic Fiveen_US
dc.typeArticleen_US
dspace.entity.typePublication

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