A recursive construction of permutation polynomials over F-q2 with odd characteristic related to Redei functions
文献类型：期刊论文
| 作者 | Fu, Shihui2; Feng, Xiutao2,3 ; Lin, Dongdai1; Wang, Qiang4
|
| 刊名 | DESIGNS CODES AND CRYPTOGRAPHY
 |
| 出版日期 | 2019-07-01 |
| 卷号 | 87期号:7页码:1481-1498 |
| 关键词 | Finite fields Permutation polynomials Compositional inverse Redei functions Dickson polynomials |
| ISSN号 | 0925-1022 |
| DOI | 10.1007/s10623-018-0548-4 |
| 英文摘要 | 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. |
| 资助项目 | 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研究方向 | Computer Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000469019000002 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/34795]  |
| 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, Key Lab Math Mechanizat, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Sci & Technol Commun Secur Lab, Chengdu 610041, Sichuan, Peoples R China 4.Carleton Univ, Sch Math & Stat, Ottawa, ON K1S 5B6, Canada |
| 推荐引用方式 GB/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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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