KMS Of Academy of mathematics and systems sciences, CAS
| Three new infinite families of bent functions | |
Wang, Libo1,2; Wu, Baofeng1; Liu, Zhuojun2 ; Lin, Dongdai1
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| 2018-03-01 | |
| Source Publication | SCIENCE CHINA-INFORMATION SCIENCES
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| ISSN | 1674-733X |
| Volume | 61Issue:3Pages:14 |
| Abstract | Bent functions are maximally nonlinear Boolean functions with an even number of variables. They are closely related to some interesting combinatorial objects and also have important applications in coding, cryptography and sequence design. In this paper, we firstly give a necessary and sufficient condition for a type of Boolean functions, which obtained by adding the product of finitely many linear functions to given bent functions, to be bent. In the case that these known bent functions are chosen to be Kasami functions, Gold- like functions and functions with Niho exponents, respectively, three new explicit infinite families of bent functions are obtained. Computer experiments show that the proposed familes also contain such bent functions attaining optimal algebraic degree. |
| Keyword | bent function Hadamard matrix Kasami function Gold-like function Niho exponent |
| DOI | 10.1007/s11432-016-0624-x |
| Language | 英语 |
| Funding Project | 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 Chinese Academy of Sciences[XDA06010701] |
| WOS Research Area | Computer Science |
| WOS Subject | Computer Science, Information Systems |
| WOS ID | WOS:000417486900003 |
| Publisher | SCIENCE PRESS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/29199 |
| Collection | 系统科学研究所 |
| Corresponding Author | Wu, Baofeng |
| Affiliation | 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 Mech, Beijing 100190, Peoples R China |
| Recommended Citation GB/T 7714 | Wang, Libo,Wu, Baofeng,Liu, Zhuojun,et al. Three new infinite families of bent functions[J]. SCIENCE CHINA-INFORMATION SCIENCES,2018,61(3):14. |
| APA | Wang, Libo,Wu, Baofeng,Liu, Zhuojun,&Lin, Dongdai.(2018).Three new infinite families of bent functions.SCIENCE CHINA-INFORMATION SCIENCES,61(3),14. |
| MLA | Wang, Libo,et al."Three new infinite families of bent functions".SCIENCE CHINA-INFORMATION SCIENCES 61.3(2018):14. |
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