Some classes of complete permutation polynomials in the form of (xpm - x

被引：0
|
作者：
Xu, Xiaofang [1 ]
Fan, Jinmei [2 ]
机构：
[1] Hubei Polytech Univ, Sch Math & Phys, Huangshi 435003, Hubei, Peoples R China
[2] Guilin Univ Technol, Sch Sci, Guilin 541006, Peoples R China
来源：
APPLIED MATHEMATICS AND NONLINEAR SCIENCES | 2022年 / 8卷 / 01期
关键词：
complete permutation polynomial; finite field; AGW criterion; CONSTRUCTIONS;
D O I：
10.2478/amns.2021.2.00132
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Several classes of complete permutation polynomials (CPPs) in the form of (x(pm) - x + delta)(s) + ax(pm) + bx over F-p(2m) are described in this paper. For fractional exponent s, the permutation properties of the given polynomials are proved by the AGW criterion and for determining the bijectivity of the corresponding piecewise functions. For exponent s satisfying s = i(p(m) - 1) + p(j), the main proofs here depend on the AGW criterion and the quantity of solutions for certain linearised equations. Several results generalise some earlier results on permutation polynomials (PPs).
引用
收藏
页码：1979 / 1992
页数：13
相关论文
共 50 条
  • [1] SEVERAL CLASSES OF PERMUTATION POLYNOMIALS OF THE FORM (xpm - x + δ)s + L(x)
    Chen, Changhui
    Kan, Haibin
    Li, Yanjun
    Peng, Jie
    Zheng, Lijing
    [J]. ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2024,
  • [2] More classes of permutation polynomials of the form (xpm - x plus δ)s + L(x)
    Zheng, Dabin
    Chen, Zhen
    [J]. APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2017, 28 (03) : 215 - 223
  • [3] Some classes of permutation polynomials of the form (xpm - x + δ)s + x over Fp2m
    Zha, Zhengbang
    Hu, Lei
    [J]. FINITE FIELDS AND THEIR APPLICATIONS, 2016, 40 : 150 - 162
  • [4] Several classes of permutation polynomials of the form (xpm - x + δ)s + x over Fp2m
    Xu, Guangkui
    Luo, Gaojun
    Cao, Xiwang
    [J]. FINITE FIELDS AND THEIR APPLICATIONS, 2022, 79
  • [5] Complete permutation polynomials with the form (xpm- x plus δ)s + axpm + bx over Fpn
    Xu, Xiaofang
    Feng, Xiutao
    Zeng, Xiangyong
    [J]. FINITE FIELDS AND THEIR APPLICATIONS, 2019, 57 : 309 - 343
  • [6] Some classes of complete permutation polynomials over Fq
    Wu GaoFei
    Li Nian
    Helleseth Tor
    Zhang YuQing
    [J]. SCIENCE CHINA-MATHEMATICS, 2015, 58 (10) : 2081 - 2094
  • [7] Some classes of complete permutation polynomials over Fq
    WU GaoFei
    LI Nian
    HELLESETH Tor
    ZHANG YuQing
    [J]. Science China Mathematics, 2015, 58 (10) : 2081 - 2094
  • [8] New results on permutation polynomials of the form (xpm − x + δ)s + xpm + x over 𝔽 p2m
    Zhengbang Zha
    Lei Hu
    Zhizheng Zhang
    [J]. Cryptography and Communications, 2018, 10 : 567 - 578
  • [9] On some classes of permutation polynomials
    Akbary, Amir
    Alaric, Sean
    Wang, Qiang
    [J]. INTERNATIONAL JOURNAL OF NUMBER THEORY, 2008, 4 (01) : 121 - 133
  • [10] New results on permutation polynomials of the form (xpm - x + δ)S + xpm + x over F p2m
    Zha, Zhengbang
    Hu, Lei
    Zhang, Zhizheng
    [J]. CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2018, 10 (03): : 567 - 578
12345