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2015•SIAM Journal on Discrete MathematicsRequires access

Permutation Trinomials Over Finite Fields with Even Characteristic

Cunsheng Ding, Longjiang Qu, Qiang Wang, Jin Yun Yuan, Pingzhi Yuan

Open publisher page 101 citations

Abstract

Permutation polynomials have been a subject of study for a long time and have applications in many areas of science and engineering. However, only a small number of specific classes of permutation polynomials are described in the literature so far. In this paper we present a number of permutation trinomials over finite fields, which are of different forms.

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What this paper is about

Permutation polynomials have been a subject of study for a long time and have applications in many areas of science and engineering. However, only a small number of specific classes of permutation polynomials are described in the literature so far. In this paper we present a number of permutation trinomials over finite fields, which are of different forms.

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OpenAlex reports 101 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Permutation polynomials have been a subject of study for a long time and have applications in many areas of science and engineering. However, only a small number of specific classes of permutation polynomials are described in the literature so far. In this paper we present a number of permutation trinomials over finite fields, which are of different forms.

Key concepts: Trinomial, Permutation (music), Finite field, Mathematics, Combinatorics, Cyclic permutation, Permutation graph, Partial permutation

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