Some new classes of permutation trinomials over finite fields with even characteristic -
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In this paper, we characterize the coefficients of f (x)= x+ a 1 xq (q− 1)+ 1+ a 2 x 2 (q− 1)+ 1
in F q 2 [x] for even q that lead f (x) to be a permutation of F q 2. We transform the problem …

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 …

Permutation polynomials are an interesting subject of mathematics and have applications in
other areas of mathematics and engineering. In this paper, we determine all permutation …

Permutation polynomials are an interesting subject of mathematics and have applications in
other areas of mathematics and engineering. In this paper, we develop general theorems on …

In this paper, we propose three new classes of permutation trinomials over F q 3. The first
two classes are of the form x+ L (xq 2+ q− 1), where L (x)∈{x+ A xq, x+ A xq 2}, q even, and …

A class of permutation polynomials with given form over finite fields is investigated in this
paper, which is a further study on a recent work of Zha and Hu. Based on some particular …

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 …

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

The study of computing compositional inverses of permutation polynomials over finite fields
efficiently is motivated by an open problem proposed by GL Mullen (1991), as well as the …