Some permutation polynomials over finite fields

被引:5
作者
Marcos, Jose E. [1 ]
机构
[1] Univ Valladolid, Fac Ciencias, Valladolid 47010, Spain
关键词
Finite field; Permutation polynomial; Complete mapping; TRINOMIALS;
D O I
10.1007/s00200-015-0260-9
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
This paper shows new permutation polynomials over finite fields. Some of them are of the form (x(pk) +/- x + delta)(s) + hx. Some others are complete mappings.
引用
收藏
页码:465 / 474
页数:10
相关论文
共 27 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]  
Ball S, 2004, LECT NOTES COMPUT SC, V2948, P79
[3]  
Blokhuis A, 2001, FINITE FIELDS AND APPLICATIONS, P37
[4]   Two classes of quadratic APN binomials inequivalent to power functions [J].
Budaghyan, Lilya ;
Carlet, Claude ;
Leander, Gregor .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2008, 54 (09) :4218-4229
[5]   New methods for generating permutation polynomials over finite fields [J].
Cao, Xiwang ;
Hu, Lei .
FINITE FIELDS AND THEIR APPLICATIONS, 2011, 17 (06) :493-503
[6]  
Coulter RS, 1998, ACTA ARITH, V83, P241
[7]  
Ding CS, 2009, SCI CHINA SER A, V52, P639, DOI 10.1007/s11425-008-0142-8
[8]   Almost perfect nonlinear power functions on GF(2n):: The Welch case [J].
Dobbertin, H .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1999, 45 (04) :1271-1275
[9]   New Kloosterman sums identities over F2m for all m [J].
Helleseth, T ;
Zinoviev, V .
FINITE FIELDS AND THEIR APPLICATIONS, 2003, 9 (02) :187-193
[10]   Permutation polynomials over finite fields - A survey of recent advances [J].
Hou, Xiang-dong .
FINITE FIELDS AND THEIR APPLICATIONS, 2015, 32 :82-119