A note on the permutation behaviour of the Dickson polynomials of the second kind

被引:6
|
作者
Henderson, M [1 ]
机构
[1] UNIV QUEENSLAND,SCH INFORMAT TECHNOL,ST LUCIA,QLD 4072,AUSTRALIA
关键词
D O I
10.1017/S0004972700031300
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this note known factorisation results for the Dickson polynomials of the second kind, f(k)(X, a), are used to obtain simple restrictions on those Ic for which f(k)(X, a) is a permutation polynomial over F-q.
引用
收藏
页码:499 / 505
页数:7
相关论文
共 50 条
  • [1] On the permutation behaviour of Dickson polynomials of the second kind
    Coulter, RS
    Matthews, RW
    FINITE FIELDS AND THEIR APPLICATIONS, 2002, 8 (04) : 519 - 530
  • [2] DICKSON POLYNOMIALS OF THE SECOND KIND THAT PERMUTE Zm
    Qu, Longjiang
    Ding, Cunsheng
    SIAM JOURNAL ON DISCRETE MATHEMATICS, 2014, 28 (02) : 722 - 735
  • [3] Fixed Points of the Dickson Polynomials of the Second Kind
    Diene, Adama
    Salim, Mohamed A.
    JOURNAL OF APPLIED MATHEMATICS, 2013,
  • [4] A NOTE ON DICKSON POLYNOMIALS OF THE THIRD KIND AND LEGENDRE FUNCTIONS
    Fernando, Neranga
    Manukure, Solomon
    JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2019, 10 (01): : 151 - 160
  • [5] Necessary conditions for reversed Dickson polynomials of the second kind to be permutational
    Hong, Shaofang
    Qin, Xiaoer
    Zhao, Wei
    FINITE FIELDS AND THEIR APPLICATIONS, 2016, 37 : 54 - 71
  • [6] A note on the second kind Genocchi polynomials
    Ryoo, C. S.
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2011, 13 (05) : 986 - 992
  • [7] A note on polyexponential and unipoly Bernoulli polynomials of the second kind
    Ma, Minyoung
    Lim, Dongkyu
    OPEN MATHEMATICS, 2021, 19 (01): : 869 - 877
  • [8] A Note on the Poly-Bernoulli Polynomials of the Second Kind
    Yun, Sang Jo
    Park, Jin-Woo
    JOURNAL OF FUNCTION SPACES, 2020, 2020
  • [10] Dickson permutation polynomials that decompose in cycles of the same length
    Rubio, Ivelisse M.
    Mullen, Gary L.
    Corrada, Carlos
    Castro, Rancis N.
    FINITE FIELDS AND APPLICATIONS, 2008, 461 : 229 - +