PERMUTATION TRINOMIALS OVER FINITE FIELDS WITH EVEN CHARACTERISTIC

被引：78
|
作者：
Ding, Cunsheng [1 ]
Qu, Longjiang [2 ]
Wang, Qiang [3 ]
Yuan, Jin
Yuan, Pingzhi [4 ]
机构：
[1] Hong Kong Univ Sci & Technol, Dept Comp Sci & Engn, Kowloon, Hong Kong, Peoples R China
[2] Natl Univ Def Technol, Coll Sci, Changsha 410073, Hunan, Peoples R China
[3] Carleton Univ, Sch Math & Stat, Ottawa, ON K1S 5B6, Canada
[4] S China Normal Univ, Sch Math, Guangzhou 510631, Guangdong, Peoples R China
来源：
SIAM JOURNAL ON DISCRETE MATHEMATICS | 2015年 / 29卷 / 01期
基金：
中国国家自然科学基金; 加拿大自然科学与工程研究理事会;
关键词：
cryptography; difference set; linear code; permutation polynomial; trinomial; POWER FUNCTIONS; POLYNOMIALS; CODES;
D O I：
10.1137/140960153
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Permutation polynomials have been a subject of study for a long time and have applications in many areas of science and engineering. However, only a small number of specific classes of permutation polynomials are described in the literature so far. In this paper we present a number of permutation trinomials over finite fields, which are of different forms.
引用
收藏
页码：79 / 92
页数：14
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