The CRC Handbook of Finite Fields (hereafter referred to as the Handbook) is a reference
book for the theory and applications of finite fields. It is not intended to be an introductory …

Permutation polynomials over finite fields — A survey of recent advances - ScienceDirect Skip
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Motivated by several constructions of permutation polynomials done by several authors
(most notably by Zieve), we propose a unified treatment for a large set of classes of …

Several recent papers have given criteria for certain polynomials to permute $\mathbb {F} _q
$, in terms of the periods of certain generalized Lucas sequences. We show that these …

The degree of a polynomial is an important parameter in the study of numerous problems on
polynomials over finite fields. Recently, a new notion of the index of a polynomial over a …

Cyclotomic Mapping Permutation Polynomials over Finite Fields Page 1 Cyclotomic
Mapping Permutation Polynomials over Finite Fields Qiang Wang⋆ School of Mathematics …

Determination of a type of permutation trinomials over finite fields, II - ScienceDirect Skip to
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In this paper, we survey on the recent results and methods in the study of compositional
inverses of permutation polynomials over finite fields. In particular, we describe a framework …

Motivated by recent results on the constructions of permutation polynomials with few terms
over the finite field 𝔽 2 n \mathbbF_2^n, where n is a positive even integer, we focus on the …

Using a lemma proved by Akbary, Ghioca, and Wang, we derive several theorems on
permutation polynomials over finite fields. These theorems give not only a unified treatment …