Further results on permutation polynomials of the form (x(pm) - x plus delta)(s) + L(x) over F-p2m | |
Wang, Libo1,2; Wu, Baofeng1; Liu, Zhuojun2 | |
刊名 | FINITE FIELDS AND THEIR APPLICATIONS |
2017-03-01 | |
卷号 | 44页码:92-112 |
关键词 | Finite field Permutation polynomial Cubic equation Quadratic equation |
ISSN号 | 1071-5797 |
DOI | 10.1016/j.ffa.2016.11.007 |
英文摘要 | 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. |
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 |
语种 | 英语 |
出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
WOS记录号 | WOS:000392167900007 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/24548] |
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. |
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