Several Classes of Boolean Functions with Four-Valued Walsh Spectra

doi:10.1142/S0129054117500228

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	Several Classes of Boolean Functions with Four-Valued Walsh Spectra
	Sun, Zhiqiang 1; Hu, Lei 2
	2017-06-01
发表期刊	INTERNATIONAL JOURNAL OF FOUNDATIONS OF COMPUTER SCIENCE
ISSN	0129-0541
卷号	28 期号:4 页码:357-377
摘要	In this paper, we give constructions of several classes of Boolean functions with four-valued Walsh spectra, which are derived from the indirect sum construction. The Walsh spectra and spectrum distributions of these functions are determined. The result of functions with four-valued Walsh spectra derived from Bent functions is used to research Bent functions and o-polynomials. By investigating the indirect sum, we also give constructions of plateaued functions and functions with five-valued Walsh spectra.
关键词	Boolean function four-valued Walsh spectra Bent functions o-polynomials plateaued function five-valued Walsh spectra
DOI	10.1142/S0129054117500228
语种	英语
资助项目	National Key Basic Research Program of China[2013CB834203] ; National Natural Science Foundation of China[61472417]
WOS研究方向	Computer Science
WOS类目	Computer Science, Theory & Methods
WOS记录号	WOS:000407230400004
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/26229
专题	中国科学院数学与系统科学研究院
通讯作者	Sun, Zhiqiang
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Inst Informat Engn, State Key Lab Informat Secur, Beijing 100093, Peoples R China
推荐引用方式 GB/T 7714	Sun, Zhiqiang,Hu, Lei. Several Classes of Boolean Functions with Four-Valued Walsh Spectra[J]. INTERNATIONAL JOURNAL OF FOUNDATIONS OF COMPUTER SCIENCE,2017,28(4):357-377.
APA	Sun, Zhiqiang,&Hu, Lei.(2017).Several Classes of Boolean Functions with Four-Valued Walsh Spectra.INTERNATIONAL JOURNAL OF FOUNDATIONS OF COMPUTER SCIENCE,28(4),357-377.
MLA	Sun, Zhiqiang,et al."Several Classes of Boolean Functions with Four-Valued Walsh Spectra".INTERNATIONAL JOURNAL OF FOUNDATIONS OF COMPUTER SCIENCE 28.4(2017):357-377.