Six new classes of permutation trinomials over F33k

被引：0
作者：
Wang, Yanping [1 ,2 ]
Zha, Zhengbang [2 ,3 ]
Zhang, Weiguo [1 ,2 ]
机构：
[1] Xidian Univ, ISN Lab, Xian 710071, Peoples R China
[2] State Key Lab Cryptol, POB 5159, Beijing 100878, Peoples R China
[3] Luoyang Normal Univ, Sch Math Sci, Luoyang 471934, Peoples R China
来源：
APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING | 2018年 / 29卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Finite field; Permutation polynomial; Trinomial; Multivariate method; FINITE-FIELDS; POLYNOMIALS; BINOMIALS; F-2M;
D O I：
10.1007/s00200-018-0353-3
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
Permutation trinomials over finite fields are of great interest for their simple algebraic forms and important applications in many areas of mathematics and engineering. In this paper, six new classes of permutation trinomials over F-3(3k) are presented based on the multivariate method. Their permutation properties are proved by using the resultant elimination method.
引用
收藏
页码：479 / 499
页数：21
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