中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
首页 机构 成果 学者
  
  1. CAS IR Grid
  2. 数学与系统科学研究院
  3. 中国科学院数学与系统科学研究院
  4. 系统科学研究所
Further results on complete permutation monomials over finite fields

文献类型：期刊论文

作者Feng, Xiutao2; Lin, Dongdai1; Wang, Liping1; Wang, Qiang3
刊名FINITE FIELDS AND THEIR APPLICATIONS
出版日期2019-05-01
卷号57页码:47-59
关键词Finite fields Permutation polynomials Complete permutation polynomials Monomials
ISSN号1071-5797
DOI10.1016/j.ffa.2019.01.003
英文摘要In this paper, we construct several new classes of complete permutation monomials a(-1)x(d) over a finite field F-qn= with exponents d=q(n)-1/q-1 + 1,q(p-1)-1/q-1 + 1, and q(q-1)-1/q-1 + 1, respectively, where q = p(k) is a power of a prime number p. Our approach uses the AGW criterion (the multiplicative case) together with Dickson permutation polynomials and a class of exceptional polynomials respectively. One of our results confirms Conjecture 4.18 by G. Wu, N. Li, T. Helleseth, Y. Zhang in [42] under the assumption that the characteristic p is primitive modulo a prime number n + 1. Moreover, we show that Conjecture 4.18 is false in general using our approach and a counterexample is provided. We also reconfirm Conjecture 4.20 in [42] that was proved recently in [24], and extend some of these recent results to more general n's and more general a's. (C) 2019 Elsevier Inc. All rights reserved.
资助项目National Key Research and Development Program of China[2016YFB0800401] ; National Natural Science Foundation of China[61572491] ; National Natural Science Foundation of China[11688101] ; National Natural Science Foundation of China[61872355] ; NSERC of Canada[RGPIN-2017-06410]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000464301700004
出版者ACADEMIC PRESS INC ELSEVIER SCIENCE
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/34392]  
专题系统科学研究所
通讯作者Wang, Qiang
作者单位1.Chinese Acad Sci, Inst Informat Engn, State Key Lab Informat Secur, Beijing 100093, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechizat, Beijing 100190, Peoples R China
3.Carleton Univ, Sch Math & Stat, Ottawa, ON K1S 5B6, Canada
推荐引用方式
GB/T 7714		 Feng, Xiutao,Lin, Dongdai,Wang, Liping,et al. Further results on complete permutation monomials over finite fields[J]. FINITE FIELDS AND THEIR APPLICATIONS,2019,57:47-59.
APA Feng, Xiutao,Lin, Dongdai,Wang, Liping,&Wang, Qiang.(2019).Further results on complete permutation monomials over finite fields.FINITE FIELDS AND THEIR APPLICATIONS,57,47-59.
MLA Feng, Xiutao,et al."Further results on complete permutation monomials over finite fields".FINITE FIELDS AND THEIR APPLICATIONS 57(2019):47-59.

入库方式： OAI收割

来源：数学与系统科学研究院

浏览0
下载0
收藏0
其他版本

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。