Permutation polynomials and their compositional inverses over finite fields by a local method

被引:5
作者
Wu, Danyao [1 ]
Yuan, Pingzhi [2 ]
机构
[1] Dongguan Univ Technol, Sch Comp Sci & Technol, Dongguan 523808, Peoples R China
[2] South China Normal Univ, Sch Math, Guangzhou 510631, Peoples R China
关键词
Finite fields; Polynomials; Permutation polynomials; Compositional inverses; Local method;
D O I
10.1007/s10623-023-01308-3
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Recently, P. Yuan presented a local method to find permutation polynomials and their compositional inverses over finite fields. The work of P. Yuan inspires us to construct some classes of permutation polynomials and their compositional inverses by the local method.
引用
收藏
页码:267 / 276
页数:10
相关论文
共 34 条
[1]   On constructing permutations of finite fields [J].
Akbary, Amir ;
Ghioca, Dragos ;
Wang, Qiang .
FINITE FIELDS AND THEIR APPLICATIONS, 2011, 17 (01) :51-67
[2]   Permutations via linear translators [J].
Cepak, Nastja ;
Charpin, Pascale ;
Pasalic, Enes .
FINITE FIELDS AND THEIR APPLICATIONS, 2017, 45 :19-42
[3]   The compositional inverse of a class of permutation polynomials over a finite field [J].
Coulter, RS ;
Henderson, M .
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2002, 65 (03) :521-526
[4]   A family of skew Hadamard difference sets [J].
Ding, Cunsheng ;
Yuan, Jin .
JOURNAL OF COMBINATORIAL THEORY SERIES A, 2006, 113 (07) :1526-1535
[5]   Binary cyclic codes from explicit polynomials over GF(2m) [J].
Ding, Cunsheng ;
Zhou, Zhengchun .
DISCRETE MATHEMATICS, 2014, 321 :76-89
[6]   CYCLIC CODES FROM SOME MONOMIALS AND TRINOMIALS [J].
Ding, Cunsheng .
SIAM JOURNAL ON DISCRETE MATHEMATICS, 2013, 27 (04) :1977-1994
[7]   New classes of permutation trinomials over Fq3 [J].
Gupta, Rohit ;
Gahlyan, Pooja ;
Sharma, R. K. .
FINITE FIELDS AND THEIR APPLICATIONS, 2022, 84
[8]   Permutation polynomials and applications to coding theory [J].
Laigle-Chapuy, Yann .
FINITE FIELDS AND THEIR APPLICATIONS, 2007, 13 (01) :58-70
[9]   Compositional inverses of permutation polynomials of the form xrh(xs) over finite fields [J].
Li, Kangquan ;
Qu, Longjiang ;
Wang, Qiang .
CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2019, 11 (02) :279-298
[10]   New classes of permutation binomials and permutation trinomials over finite fields [J].
Li, Kangquan ;
Qu, Longjiang ;
Chen, Xi .
FINITE FIELDS AND THEIR APPLICATIONS, 2017, 43 :69-85