article.page.titleprefix
Complete characterization of a class of permutation trinomials in characteristic five

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dc.contributor.authorGrassl, Markus
dc.contributor.authorÖzbudak, Ferruh
dc.contributor.authorÖzkaya, Buket
dc.contributor.authorGülmez Temür, Burcu
dc.date.accessioned2024-06-07T11:05:56Z
dc.date.available2024-06-07T11:05:56Z
dc.date.issued2024-02-21
dc.descriptionOpen Access; Published by Cryptography and Communications; https://doi.org/10.1007/s12095-024-00705-2; Markus Grassl, International Centre for Theory of Quantum Technologies, University of Gdansk, Gdansk, Poland; Ferruh Özbudak, FENS, Sabancı University, Ístanbul, Turkey; Buket Özkaya, Institute of Applied Mathematics, Middle East Technical University, Ankara, Turkey; Burcu Gülmez Temür, Department of Mathematics, Atılım University, Ankara, Turkey.
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) = x^4q+1 + λ_1x^5q + λ_2x^q+4 over the finite field F_5^k , which are not quasimultiplicative equivalent to any of the known permutation polynomials in the literature. We find necessary and sufficient conditions on λ1, λ2 ∈ F_5^k so that f (x) is a permutation monomial, binomial, or trinomial of F_5^2k .
dc.description.sponsorshipOpen access funding provided by the Scientific and Technological Research Council of Türkiye (TÜİTAK). Markus Grassl received research support from Fundacja na rzecz Nauki Polskiej, MAB/2018/5.
dc.identifier.citationhttps://hdl.handle.net/20.500.14411/2044
dc.identifier.issn1936-2455
dc.identifier.urihttps://doi.org/10.1007/s12095-024-00705-2
dc.language.isoen
dc.publisherCryptography and Communications
dc.subjectPermutation polynomials
dc.subjectFinite fields
dc.subjectAbsolutely irreducible
dc.subjectMSC 11T06
dc.subject11T71
dc.subject12E10
dc.titleComplete characterization of a class of permutation trinomials in characteristic five
dc.typeArticle
dspace.entity.typeArticle

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