an:07331815
Zbl 07331815
Li, Lisha; Wang, Qiang; Xu, Yunge; Zeng, Xiangyong
Several classes of complete permutation polynomials with Niho exponents
EN
Finite Fields Appl. 72, Article ID 101831, 31 p. (2021).
00461152
2021
j
11T06 11T55 05A05
finite field; permutation polynomial; complete permutation polynomial; trace function
Summary: In this paper, eight classes of complete permutation polynomials with Niho exponents are proposed. Based on certain polynomials over \(\mathbb{F}_{q^2}\) whose \((q-1)\)-th powers are 1 or monomials on the unit circle, three classes of complete permutation polynomials are obtained. In addition, we completely characterize the complete permutation properties of five classes of known permutation trinomials.