一类新的有限域上的置换多项式
A NEW CLASS OF PERMUTATION POLYNOMIALS OVER FLNITE FLELDS

本文研究了有限域上置换多项式的构造问题.利用分段方法构造了Fq2上形如（xq-x+c）（k（q2-1））/（d）+1+xq+x的置换多项式，其中1≤k < d且d是q-1的任意因子，推广了已有文献中的某些结果.
In this paper, the problem of constructing permutation polynomials over finite fields is investigated. By using the piecewise method, a class of permutation polynomials of the form (xq-x+c)(k(q2-1))/(d)+1+xq+x over Fq2 is constructed, where 1≤k < d and d is an arbitrary factor of q-1, which generalizes some known results in the literature