Some permutations and complete permutation polynomials over finite fields

被引:3
|
作者
Ongan, Pinar [1 ]
Temur, Burcu Gulmez [2 ]
机构
[1] Middle East Tech Univ, Inst Appl Math, Ankara, Turkey
[2] Atilim Univ, Fac Sci, Dept Math, Ankara, Turkey
关键词
Permutation polynomials; complete permutation polynomials; finite fields;
D O I
10.3906/mat-1806-83
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we determine b is an element of F-qn*. for which the polynomial f(x) = x(s+1) + bx is an element of F-qn[x] is a permutation polynomial and determine b is an element of F-gn* for which the polynomial f(x) = x(s+1)+ bx is an element of F(q)n [x] is a complete permutation polynomial where s = q(n)-1/t, t is an element of Z(+) such that t vertical bar q(n) - 1.
引用
收藏
页码:2154 / 2160
页数:7
相关论文
共 50 条
  • [41] REGULAR COMPLETE PERMUTATION POLYNOMIALS OVER QUADRATIC EXTENSION FIELDS
    Wu, Xia
    Lu, Wei
    Cao, Xiwang
    Wang, Yufei
    ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2025, 19 (02) : 406 - 415
  • [42] REGULAR COMPLETE PERMUTATION POLYNOMIALS OVER QUADRATIC EXTENSION FIELDS
    Wu, Xia
    Lu, Wei
    Cao, Xiwang
    Wang, Yufei
    ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2025, 19 (02) : 406 - 415
  • [43] New Permutation Reversed Dickson Polynomials over Finite Fields
    Cheng, Kaimin
    ALGEBRA COLLOQUIUM, 2023, 30 (01) : 111 - 120
  • [44] Image encryption based on permutation polynomials over finite fields
    Wu, Jianhua
    Liu, Hai
    Zhu, Xishun
    OPTICA APPLICATA, 2020, 50 (03) : 357 - 376
  • [45] A survey of compositional inverses of permutation polynomials over finite fields
    Wang, Qiang
    DESIGNS CODES AND CRYPTOGRAPHY, 2024, : 831 - 870
  • [46] Permutation polynomials from trace functions over finite fields
    Zeng, Xiangyong
    Tian, Shizhu
    Tu, Ziran
    FINITE FIELDS AND THEIR APPLICATIONS, 2015, 35 : 36 - 51
  • [47] Permutation polynomials over finite fields - A survey of recent advances
    Hou, Xiang-dong
    FINITE FIELDS AND THEIR APPLICATIONS, 2015, 32 : 82 - 119
  • [48] Further results on a class of permutation polynomials over finite fields
    Li, Nian
    Helleseth, Tor
    Tang, Xiaohu
    FINITE FIELDS AND THEIR APPLICATIONS, 2013, 22 : 16 - 23
  • [50] On Inverses of Permutation Polynomials of Small Degree Over Finite Fields
    Zheng, Yanbin
    Wang, Qiang
    Wei, Wenhong
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2020, 66 (02) : 914 - 922