SEVERAL CLASSES OF PERMUTATION POLYNOMIALS OF THE FORM (xpm - x + δ)s + L(x)

被引：0
|
作者：
Chen, Changhui [1 ]
Kan, Haibin [3 ,4 ,5 ,6 ]
Li, Yanjun [2 ,4 ]
Peng, Jie [1 ]
Zheng, Lijing [7 ]
机构：
[1] Shanghai Normal Univ, Math & Sci Coll, Shanghai 200234, Peoples R China
[2] Anhui Univ Finance & Econ, Inst Stat & Appl Math, Bengbu 233030, Anhui, Peoples R China
[3] Fudan Univ, Shanghai Key Lab Intelligent Informat Proc, Shanghai 200433, Peoples R China
[4] Fudan Univ, Sch Comp Sci, Shanghai 200433, Peoples R China
[5] Shanghai Engn Res Ctr Blockchain, Shanghai 200433, Peoples R China
[6] Fudan Univ, Yiwu Res Inst, Yiwu City 322000, Peoples R China
[7] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China
来源：
ADVANCES IN MATHEMATICS OF COMMUNICATIONS | 2024年
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
Finite field; permutation polynomials; complete permutation polynomials;
D O I：
10.3934/amc.2023062
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, we give six classes of permutation polynomials of the form (x(pm) - x + delta)(s) + a(x) over F-2(2m) and six classes of permutation polynomials of the form (x(pm) - x + delta)(s) + ax(pm) + a(pm) x over F-p(2m) (p being an odd prime), respectively. In addition, we also investigate permutation polynomials obtained from piecewise functions. Consequently, we find some complete permutation polynomials.
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页数：18
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