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Three new infinite families of bent functions

文献类型：期刊论文

作者Wang, Libo1,2; Wu, Baofeng1; Liu, Zhuojun2; Lin, Dongdai1
刊名SCIENCE CHINA-INFORMATION SCIENCES
出版日期2018-03-01
卷号61期号:3页码:14
关键词bent function Hadamard matrix Kasami function Gold-like function Niho exponent
ISSN号1674-733X
DOI10.1007/s11432-016-0624-x
英文摘要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.
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 Chinese Academy of Sciences[XDA06010701]
WOS研究方向Computer Science
语种英语
WOS记录号WOS:000417486900003
出版者SCIENCE PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/29198]  
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, 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
推荐引用方式
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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