an:07067791
Zbl 1412.11138
Xu, Xiaofang; Feng, Xiutao; Zeng, Xiangyong
Complete permutation polynomials with the form \((x^{p^m} - x + \delta)^s + a x^{p^m} + b x\) over \(\mathbb{F}_{p^n}\)
EN
Finite Fields Appl. 57, 309-343 (2019).
00434146
2019
j
11T06
complete permutation polynomial; permutation polynomial; AGW criterion; finite field
Summary: In this paper, several classes of complete permutation polynomials with the form \((x^{p^m} - x + \delta)^s + a x^{p^m} + b x\) over \(\mathbb{F}_{p^n}\) are proposed by the AGW criterion and determining the number of solutions of some equations. Our results also enrich constructions of known permutation polynomials.