Further results on permutation polynomials of the form (x(pm) - x plus delta)(s) + L(x) over F-p2m

doi:10.1016/j.ffa.2016.11.007

CSpace > 系统科学研究所

	Further results on permutation polynomials of the form (x(pm) - x plus delta)(s) + L(x) over F-p2m
	Wang, Libo 1,2; Wu, Baofeng 1; Liu, Zhuojun2
	2017-03-01
发表期刊	FINITE FIELDS AND THEIR APPLICATIONS
ISSN	1071-5797
卷号	44 页码:92-112
摘要	In this paper, some classes of permutation polynomials of the form (x(pm) - x + delta)(s) + L(x) over the finite field F-p2m are investigated by determining the number of solutions of certain equations, where L(x) = x or x(pm) + x. More precisely, for an integer s satisfying s(p(m) +1) equivalent to p(m) +1 (mod p(2m) - 1), we give four classes of permutation polynomials of the form (x(2m) + x delta)(s) + x over F-22m, and five classes of permutation polynomials of the form (x(3m) - x + delta)(s) + x(3m) + x over F-32m, respectively. (C) 2016 Elsevier Inc. All rights reserved.
关键词	Finite field Permutation polynomial Cubic equation Quadratic equation
DOI	10.1016/j.ffa.2016.11.007
语种	英语
资助项目	National Natural Science Foundation of China[61502482] ; National Natural Science Foundation of China[61379139] ; National Natural Science Foundation of China[11526215] ; National Key Research Program of China[2016YFB0800401] ; "Strategic Priority Research Program" of the Chinese Academy of Sciences[XDA06010701]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000392167900007
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/24549
专题	系统科学研究所
通讯作者	Wu, Baofeng
作者单位	1.Chinese Acad Sci, Inst Informat Engn, SKLOIS, Beijing 100093, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Wang, Libo,Wu, Baofeng,Liu, Zhuojun. Further results on permutation polynomials of the form (x(pm) - x plus delta)(s) + L(x) over F-p2m[J]. FINITE FIELDS AND THEIR APPLICATIONS,2017,44:92-112.
APA	Wang, Libo,Wu, Baofeng,&Liu, Zhuojun.(2017).Further results on permutation polynomials of the form (x(pm) - x plus delta)(s) + L(x) over F-p2m.FINITE FIELDS AND THEIR APPLICATIONS,44,92-112.
MLA	Wang, Libo,et al."Further results on permutation polynomials of the form (x(pm) - x plus delta)(s) + L(x) over F-p2m".FINITE FIELDS AND THEIR APPLICATIONS 44(2017):92-112.