Permutation polynomials from trace functions over finite fields

被引：22
|
作者：
Zeng, Xiangyong [1 ]
Tian, Shizhu [1 ]
Tu, Ziran [2 ]
机构：
[1] Hubei Univ, Hubei Key Lab Appl Math, Fac Math & Stat, Wuhan 430062, Peoples R China
[2] Henan Univ Sci & Technol, Sch Math & Stat, Luoyang 471003, Peoples R China
来源：
FINITE FIELDS AND THEIR APPLICATIONS | 2015年 / 35卷
基金：
中国国家自然科学基金;
关键词：
Permutation polynomial; Finite field; Trace function; DIFFERENTIALLY 4-UNIFORM PERMUTATIONS;
D O I：
10.1016/j.ffa.2015.03.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose several classes of permutation polynomials based on trace functions over finite fields of characteristic 2. The main result of this paper is obtained by determining the number of solutions of certain equations over finite fields. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：36 / 51
页数：16
相关论文
共 50 条
  • [1] Permutation Polynomials over Finite Fields
    万大庆
    [J]. Acta Mathematica Sinica,English Series, 1987, (01) : 1 - 5
  • [2] Permutation Polynomials over Finite Fields
    万大庆
    [J]. Acta Mathematica Sinica, 1987, (01) : 1 - 5
  • [3] Specific permutation polynomials over finite fields
    Marcos, Jose E.
    [J]. FINITE FIELDS AND THEIR APPLICATIONS, 2011, 17 (02) : 105 - 112
  • [4] Some permutation polynomials over finite fields
    Marcos, Jose E.
    [J]. APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2015, 26 (05) : 465 - 474
  • [5] Some permutation polynomials over finite fields
    José E. Marcos
    [J]. Applicable Algebra in Engineering, Communication and Computing, 2015, 26 : 465 - 474
  • [6] Permutation polynomials over finite fields from a powerful lemma
    Yuan, Pingzhi
    Ding, Cunsheng
    [J]. FINITE FIELDS AND THEIR APPLICATIONS, 2011, 17 (06) : 560 - 574
  • [7] CONSTRUCTING PERMUTATION POLYNOMIALS OVER FINITE FIELDS
    Qin, Xiaoer
    Hong, Shaofang
    [J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2014, 89 (03) : 420 - 430
  • [8] A note on permutation polynomials over finite fields
    Ma, Jingxue
    Ge, Gennian
    [J]. FINITE FIELDS AND THEIR APPLICATIONS, 2017, 48 : 261 - 270
  • [9] Further results on permutation polynomials and complete permutation polynomials over finite fields
    Liu, Qian
    Xie, Jianrui
    Liu, Ximeng
    Zou, Jian
    [J]. AIMS MATHEMATICS, 2021, 6 (12): : 13503 - 13514
  • [10] On permutation and complete permutation binomials and trinomials from linearized polynomials over finite fields
    Singh, Manpreet
    Gupta, Shalini
    Sharma, P. L.
    [J]. JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY, 2024, 27 (03): : 1073 - 1085
12345