Three new infinite families of bent functions

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 系统科学研究所

	Three new infinite families of bent functions
	Wang Libo 2; Wu Baofeng 2; Liu Zhuojun1 ; Lin Dongdai 2
刊名	Science China. Information Science
	2018
卷号	61 期号:3 页码:14
ISSN号	1674-733X
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.
语种	英语
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/33881]
专题	系统科学研究所
作者单位	1.中国科学院数学与系统科学研究院 2.中国科学院信息工程研究所
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 Science,2018,61(3):14.
APA	Wang Libo,Wu Baofeng,Liu Zhuojun,&Lin Dongdai.(2018).Three new infinite families of bent functions.Science China. Information Science,61(3),14.
MLA	Wang Libo,et al."Three new infinite families of bent functions".Science China. Information Science 61.3(2018):14.