article.page.titleprefix Complete characterization of a class of permutation trinomials in characteristic five
dc.contributor.author | Grassl, Markus | |
dc.contributor.author | Özbudak, Ferruh | |
dc.contributor.author | Özkaya, Buket | |
dc.contributor.author | Gülmez Temür, Burcu | |
dc.date.accessioned | 2024-06-07T11:05:56Z | |
dc.date.available | 2024-06-07T11:05:56Z | |
dc.date.issued | 2024-02-21 | |
dc.description | Open 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.abstract | In 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.sponsorship | Open 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.citation | https://hdl.handle.net/20.500.14411/2044 | |
dc.identifier.issn | 1936-2455 | |
dc.identifier.uri | https://doi.org/10.1007/s12095-024-00705-2 | |
dc.language.iso | en | |
dc.publisher | Cryptography and Communications | |
dc.subject | Permutation polynomials | |
dc.subject | Finite fields | |
dc.subject | Absolutely irreducible | |
dc.subject | MSC 11T06 | |
dc.subject | 11T71 | |
dc.subject | 12E10 | |
dc.title | Complete characterization of a class of permutation trinomials in characteristic five | |
dc.type | Article | |
dspace.entity.type | Article |
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