Three new infinite families of bent functions

doi:10.1007/s11432-016-0624-x

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	Three new infinite families of bent functions
	Wang, Libo 1,2; Wu, Baofeng 1; Liu, Zhuojun2 ; Lin, Dongdai 1
	2018-03-01
发表期刊	SCIENCE CHINA-INFORMATION SCIENCES
ISSN	1674-733X
卷号	61 期号:3 页码:14
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.
关键词	bent function Hadamard matrix Kasami function Gold-like function Niho exponent
DOI	10.1007/s11432-016-0624-x
语种	英语
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
WOS类目	Computer Science, Information Systems
WOS记录号	WOS:000417486900003
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/29199
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.