Browsing by Author "Grassl,M."

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    Complete Characterization of a Class of Permutation Trinomials in Characteristic Five
    (Springer, 2024) Grassl,M.; Özbudak,F.; Özkaya,B.; Temür,B.G.
    In 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.