ONE CLASS OF PERMUTATION POLYNOMIALS OVER FINITE FIELDS OF EVEN CHARACTERISTIC

被引：1
|
作者：
Bassalygo, L. A. [1 ]
Zinoviev, V. A. [1 ]
机构：
[1] Russian Acad Sci, Kharkevich Inst Informat Transmiss Problems, Bolshoi Karetnyi Per 19,GSP-4, Moscow 127994, Russia
来源：
MOSCOW MATHEMATICAL JOURNAL | 2015年 / 15卷 / 04期
关键词：
Finite field; permutation polynomial;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Polynomials of type x(q3+q2+q+2) + bx over the field F(q)4, where q - 2(m), m >= 2, are considered. All cases when these polynomials are permutation polynomials are classified.
引用
收藏
页码：703 / 713
页数：11
相关论文
共 50 条
  • [21] PERMUTATION POLYNOMIALS OF DEGREE 8 OVER FINITE FIELDS OF ODD CHARACTERISTIC
    Fan, Xiang
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2020, 101 (01) : 40 - 55
  • [22] Some classes of permutation polynomials over finite fields with odd characteristic
    Qian Liu
    Yujuan Sun
    WeiGuo Zhang
    Applicable Algebra in Engineering, Communication and Computing, 2018, 29 : 409 - 431
  • [23] A class of permutation trinomials over finite fields of odd characteristic
    Ziran Tu
    Xiangyong Zeng
    Cryptography and Communications, 2019, 11 : 563 - 583
  • [24] A class of permutation trinomials over finite fields of odd characteristic
    Tu, Ziran
    Zeng, Xiangyong
    CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2019, 11 (04): : 563 - 583
  • [25] Permutation Polynomials over Finite Fields
    万大庆
    Acta Mathematica Sinica, 1987, (01) : 1 - 5
  • [26] Permutation Polynomials over Finite Fields
    万大庆
    Acta Mathematica Sinica,English Series, 1987, (01) : 1 - 5
  • [27] Some new classes of permutation trinomials over finite fields with even characteristic
    Gupta, Rohit
    Sharma, R. K.
    FINITE FIELDS AND THEIR APPLICATIONS, 2016, 41 : 89 - 96
  • [28] More classes of permutation hexanomials and pentanomials over finite fields with even characteristic
    Zhang, Tongliang
    Zheng, Lijing
    Hao, Xinghui
    FINITE FIELDS AND THEIR APPLICATIONS, 2023, 91
  • [29] Permutation polynomials with low differential uniformity over finite fields of odd characteristic
    WenJie Jia
    XiangYong Zeng
    ChunLei Li
    Tor Helleseth
    Lei Hu
    Science China Mathematics, 2013, 56 : 1429 - 1440
  • [30] Permutation polynomials with low differential uniformity over finite fields of odd characteristic
    Jia WenJie
    Zeng XiangYong
    Li ChunLei
    Helleseth, Tor
    Hu Lei
    SCIENCE CHINA-MATHEMATICS, 2013, 56 (07) : 1429 - 1440
12345