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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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 …

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 …

Several types of functions over finite fields have relevant applications in applied areas of
mathematics, such as cryptography and coding theory. Among them, planar functions, APN …

We use cyclotomy to construct new classes of permutation polynomials over finite fields. This
allows us to generate permutation polynomials in an algorithmic way and also to unify …

This chapter focuses on the construction of the superstructure of CFST arch bridges, mainly
including the fabrication, welding and anti-corrosion coating of steel tube arch ribs, erection …

We study the compositional inverses of some general classes of permutation polynomials
over finite fields. We show that we can write these inverses in terms of the inverses of two …

In this note, we give a shorter proof of the result of Zheng, Yu, and Pei on the explicit formula
of inverses of generalized cyclotomic permutation polynomials over finite fields. Moreover …

We study compositional inverses of permutation polynomials and complete map**s over
finite fields. Recently the compositional inverses of linearized permutation binomials were …