학술논문
Some new forms of permutation polynomials based on the AGW criterion.
Document Type
Journal
Author
Li, Zengxiang (PRC-NCH3-GQC) AMS Author Profile; Wang, Miao (PRC-HUBMS) AMS Author Profile; Wu, Jianhua (PRC-NCH-SIE) AMS Author Profile; Zhu, Xishun (PRC-NCH3-GQC) AMS Author Profile
Source
Subject
05 Combinatorics -- 05A Enumerative combinatorics
05A05Permutations, words, matrices
11Number theory -- 11T Finite fields and commutative rings
11T55Arithmetic theory of polynomial rings over finite fields
05A05
11
11T55
Language
English
Abstract
In this paper, several classes of permutation polynomials over $\Bbb F_{2^{2m}}$ of the form ${x + ({\rm Tr}^n_ m(x)^k + \delta)^s}$ and $x + ({\rm Tr}^n_ m(x)^{k_1} + \delta_1)^{s_1}+ ({\rm Tr}^n_ m(x)^{k_2} + \delta_2)^{s_2}$ are proposed. The proofs are based on the AGW criterion.