Low-degree permutation rational functions over finite fields

被引：10
作者：
Ding, Zhiguo [1 ]
Zieve, Michael E. [2 ]
机构：
[1] Hunan Inst Traff Engn, Hengyang 421001, Hunan, Peoples R China
[2] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA
来源：
ACTA ARITHMETICA | 2022年 / 202卷 / 03期
基金：
美国国家科学基金会;
关键词：
exceptional rational function; finite field; monodromy groups; permutation rational function; EXCEPTIONAL POLYNOMIALS;
D O I：
10.4064/aa210521-12-11
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
[No abstract available]
引用
收藏
页码：253 / 280
页数：28
相关论文
共 50 条
  • [41] THE DIFFERENCE BETWEEN PERMUTATION POLYNOMIALS OVER FINITE-FIELDS
    COHEN, SD
    MULLEN, GL
    SHIUE, PJS
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 123 (07) : 2011 - 2015
  • [42] 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
  • [43] A new approach to permutation polynomials over finite fields, II
    Fernando, Neranga
    Hou, Xiang-dong
    Lappano, Stephen D.
    FINITE FIELDS AND THEIR APPLICATIONS, 2013, 22 : 122 - 158
  • [44] Congruences for rational points on varieties over finite fields
    N. Fakhruddin
    C. S. Rajan
    Mathematische Annalen, 2005, 333 : 797 - 809
  • [45] Rational points on Fermat curves over finite fields
    Cao, Wei
    Han, Shanmeng
    Wang, Ruyun
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2017, 16 (03)
  • [46] Modular Counting of Rational Points over Finite Fields
    Daqing Wan
    Foundations of Computational Mathematics, 2008, 8 : 597 - 605
  • [47] On the differential uniformities of functions over finite fields
    Qu LongJiang
    Li Chao
    Dai QingPing
    Kong ZhiYin
    SCIENCE CHINA-MATHEMATICS, 2013, 56 (07) : 1477 - 1484
  • [48] ONE CLASS OF PERMUTATION POLYNOMIALS OVER FINITE FIELDS OF EVEN CHARACTERISTIC
    Bassalygo, L. A.
    Zinoviev, V. A.
    MOSCOW MATHEMATICAL JOURNAL, 2015, 15 (04) : 703 - 713
  • [49] On the differential uniformities of functions over finite fields
    QU LongJiang
    LI Chao
    DAI QingPing
    KONG ZhiYin
    Science China(Mathematics), 2013, 56 (07) : 1477 - 1484
  • [50] On the differential uniformities of functions over finite fields
    LongJiang Qu
    Chao Li
    QingPing Dai
    ZhiYin Kong
    Science China Mathematics, 2013, 56 : 1477 - 1484
12345