Several classes of permutation polynomials over the finite field Fp2m

被引：3
|
作者：
Li, Guanghui [1 ]
Cao, Xiwang [1 ,2 ]
机构：
[1] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 211106, Peoples R China
[2] MIIT, Key Lab Math Modelling & High Performance Comp Air, Nanjing 211106, Peoples R China
来源：
FINITE FIELDS AND THEIR APPLICATIONS | 2023年 / 89卷
基金：
中国国家自然科学基金;
关键词：
Permutation polynomial; Trace function; Finite field; FORM; (X(PM);
D O I：
10.1016/j.ffa.2023.102197
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let Fq denote the finite field with q elements. In this paper, based on the AGW criterion and determining the number of solutions to certain equations over the finite field Fp2m , several classes of permutation polynomials with given forms are proposed. Some of them are the permutation polynomials of the form (xpm - x + 5)s + L(x), where L(x) is a linearized polynomial. Others are the permutation polynomials of the form (xpm - x + 5)s1 + (xpm - x + 5)s2 + x. (c) 2023 Elsevier Inc. All rights reserved.
引用
收藏
页数：18
相关论文
共 50 条
  • [1] Several classes of permutation polynomials of the form (xpm - x + δ)s + x over Fp2m
    Xu, Guangkui
    Luo, Gaojun
    Cao, Xiwang
    FINITE FIELDS AND THEIR APPLICATIONS, 2022, 79
  • [2] Several classes of permutation pentanomials with the form xrh(xpm-1) over Fp2m
    Liu, Qian
    Chen, Guifeng
    Liu, Ximeng
    Zou, Jian
    FINITE FIELDS AND THEIR APPLICATIONS, 2023, 92
  • [3] Some classes of permutation polynomials of the form (xpm - x + δ)s + x over Fp2m
    Zha, Zhengbang
    Hu, Lei
    FINITE FIELDS AND THEIR APPLICATIONS, 2016, 40 : 150 - 162
  • [4] Permutation polynomials of the form (xpm-x plus δ)s+L(x) over the finite field Fp2m of odd characteristic
    Tu, Ziran
    Zeng, Xiangyong
    Li, Chunlei
    Helleseth, Tor
    FINITE FIELDS AND THEIR APPLICATIONS, 2015, 34 : 20 - 35
  • [5] More constructions of permutation pentanomials and hexanomials over Fp2m
    Shen, Ruihua
    Liu, Xianping
    Xu, Xiaofang
    APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2024,
  • [6] Several classes of permutation polynomials based on the AGW criterion over the finite field F22m
    Li, Guanghui
    Cao, Xiwang
    FINITE FIELDS AND THEIR APPLICATIONS, 2024, 95
  • [7] Further results on permutation polynomials of the form (xpm - x plus δ)s + x over Fp2m
    Gupta, Rohit
    Sharma, R. K.
    FINITE FIELDS AND THEIR APPLICATIONS, 2018, 50 : 196 - 208
  • [8] Further results on permutation polynomials of the form (xpm - x plus δ)s + L(x) over Fp2m
    Wang, Libo
    Wu, Baofeng
    Liu, Zhuojun
    FINITE FIELDS AND THEIR APPLICATIONS, 2017, 44 : 92 - 112
  • [9] Further results on permutation polynomials of the form (xpm - x plus δ)s + L(x) over Fp2m
    Xu, Guangkui
    Cao, Xiwang
    Xu, Shanding
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2016, 15 (05)
  • [10] Several classes of complete permutation polynomials over finite fields of even characteristic
    Tu, Ziran
    Zeng, Xiangyong
    Mao, Jinxiu
    Zhou, Junchao
    FINITE FIELDS AND THEIR APPLICATIONS, 2020, 68
12345