Some permutations and complete permutation polynomials over finite fields

被引：3

作者：

Ongan, Pinar ^{[1
]}

Temur, Burcu Gulmez ^{[2
]}

机构：

[1] Middle East Tech Univ, Inst Appl Math, Ankara, Turkey

[2] Atilim Univ, Fac Sci, Dept Math, Ankara, Turkey

来源：

TURKISH JOURNAL OF MATHEMATICS | 2019年 / 43卷 / 05期

关键词：

Permutation polynomials; complete permutation polynomials; finite fields;

D O I：

10.3906/mat-1806-83

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we determine b is an element of F-qn*. for which the polynomial f(x) = x(s+1) + bx is an element of F-qn[x] is a permutation polynomial and determine b is an element of F-gn* for which the polynomial f(x) = x(s+1)+ bx is an element of F(q)n [x] is a complete permutation polynomial where s = q(n)-1/t, t is an element of Z(+) such that t vertical bar q(n) - 1.

引用

页码：2154 / 2160

页数：7

共 50 条

[1] A specific type of permutation and complete permutation polynomials over finite fields
Ongan, Pinar
Temur, Burcu Gulmez
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2020, 19 (04)
[2] Some generalized permutation polynomials over finite fields
Qin, Xiaoer
Yan, Li
BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2021, 64 (01): : 75 - 87
[3] Some new results on permutation polynomials over finite fields
Ma, Jingxue
Zhang, Tao
Feng, Tao
Ge, Gennian
DESIGNS CODES AND CRYPTOGRAPHY, 2017, 83 (02) : 425 - 443
[4] Some new results on permutation polynomials over finite fields
Jingxue Ma
Tao Zhang
Tao Feng
Gennian Ge
Designs, Codes and Cryptography, 2017, 83 : 425 - 443
[5] Some classes of monomial complete permutation polynomials over finite fields of characteristic two
Wu, Gaofei
Li, Nian
Helleseth, Tor
Zhang, Yuqing
FINITE FIELDS AND THEIR APPLICATIONS, 2014, 28 : 148 - 165
[6] Complete permutation polynomials over finite fields of odd characteristic
Xu Guangkui
Cao, Xiwang
FINITE FIELDS AND THEIR APPLICATIONS, 2015, 31 : 228 - 240
[7] Permutations, hyperplanes and polynomials over finite fields
Gacs, Andras
Heger, Tamas
Nagy, Zoltan Lorant
Palvolgyi, Domotor
FINITE FIELDS AND THEIR APPLICATIONS, 2010, 16 (05) : 301 - 314
[8] Cyclotomic mapping permutation polynomials over finite fields
Wang, Qiang
SEQUENCES, SUBSEQUENCES, AND CONSEQUENCES, 2007, 4893 : 119 - 128
[9] Further results on complete permutation monomials over finite fields
Feng, Xiutao
Lin, Dongdai
Wang, Liping
Wang, Qiang
FINITE FIELDS AND THEIR APPLICATIONS, 2019, 57 : 47 - 59
[10] Some classes of permutation polynomials over finite fields with odd characteristic
Liu, Qian
Sun, Yujuan
Zhang, WeiGuo
APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2018, 29 (05) : 409 - 431

← 1 2 3 4 5 →