A certain generalized Lucas sequence and its application to the permutation binomials over finite fields

被引：0
作者：
Zhang, Zhilin [1 ]
Li, Hongjian [2 ]
Tian, Delu [3 ]
机构：
[1] Guangdong Univ Finance & Econ, Sch Stat & Math, Guangzhou 510320, Guangdong, Peoples R China
[2] Guangdong Univ Foreign Studies, Sch Math & Stat, Guangzhou 510006, Guangdong, Peoples R China
[3] Guangdong Univ Educ, Dept Math, Guangzhou 510640, Guangdong, Peoples R China
来源：
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2024年
基金：
中国国家自然科学基金;
关键词：
Generalized Lucas sequence; Permutation binomials; Finite fields; DIGITAL-SIGNATURES; POLYNOMIALS; TRINOMIALS; ELEMENTS;
D O I：
10.1007/s13226-024-00716-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we firstly present some basic properties of the certain generalized Lucas sequence. We subsequently describe a relationship between this sequence and the corresponding lacunary sums of binomial coefficients. Due to the relationship, we finally characterize a new class of permutation binomials over finite fields.
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页数：12
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