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 A recursive construction of permutation polynomials over F-q2 with odd characteristic related to Redei functions Fu, Shihui1; Feng, Xiutao1,2; Lin, Dongdai3; Wang, Qiang4 2019-07-01 Source Publication DESIGNS CODES AND CRYPTOGRAPHY ISSN 0925-1022 Volume 87Issue:7Pages:1481-1498 Abstract In this paper, we construct two classes of permutation polynomials over Fq2 with odd characteristic closely related to rational Redei functions. Two distinct characterizations of their compositional inverses are also obtained. These permutation polynomials can be generated recursively. As a consequence, we can generate permutation polynomials with an arbitrary number of terms in a very simple way. Moreover, several classes of permutation binomials and trinomials are given. With the help of a computer, we find that the number of permutation polynomials of these types is quite big. Keyword Finite fields Permutation polynomials Compositional inverse Redei functions Dickson polynomials DOI 10.1007/s10623-018-0548-4 Language 英语 Funding Project National Key Research and Development Program of China[2016YFB0800401] ; Hubei Provincial Natural Science Foundation of China[2016CFB454] ; Science and Technology on Communication Security Laboratory[6142103010701] ; National Natural Science Foundation of China[61572491] ; National Natural Science Foundation of China[11688101] ; NSERC of Canada WOS Research Area Computer Science ; Mathematics WOS Subject Computer Science, Theory & Methods ; Mathematics, Applied WOS ID WOS:000469019000002 Publisher SPRINGER Citation statistics Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/34796 Collection 系统科学研究所 Corresponding Author Wang, Qiang Affiliation 1.Chinese Acad Sci, Key Lab Math Mechanizat, Acad Math & Syst Sci, Beijing 100190, Peoples R China2.Sci & Technol Commun Secur Lab, Chengdu 610041, Sichuan, Peoples R China3.Chinese Acad Sci, Inst Informat Engn, State Key Lab Informat Secur, Beijing 100093, Peoples R China4.Carleton Univ, Sch Math & Stat, Ottawa, ON K1S 5B6, Canada Recommended CitationGB/T 7714 Fu, Shihui,Feng, Xiutao,Lin, Dongdai,et al. A recursive construction of permutation polynomials over F-q2 with odd characteristic related to Redei functions[J]. DESIGNS CODES AND CRYPTOGRAPHY,2019,87(7):1481-1498. APA Fu, Shihui,Feng, Xiutao,Lin, Dongdai,&Wang, Qiang.(2019).A recursive construction of permutation polynomials over F-q2 with odd characteristic related to Redei functions.DESIGNS CODES AND CRYPTOGRAPHY,87(7),1481-1498. MLA Fu, Shihui,et al."A recursive construction of permutation polynomials over F-q2 with odd characteristic related to Redei functions".DESIGNS CODES AND CRYPTOGRAPHY 87.7(2019):1481-1498.
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