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Several Classes of Boolean Functions with Four-Valued Walsh Spectra

文献类型：期刊论文

作者Sun, Zhiqiang1; Hu, Lei2
刊名INTERNATIONAL JOURNAL OF FOUNDATIONS OF COMPUTER SCIENCE
出版日期2017-06-01
卷号28期号:4页码:357-377
关键词Boolean function four-valued Walsh spectra Bent functions o-polynomials plateaued function five-valued Walsh spectra
ISSN号0129-0541
DOI10.1142/S0129054117500228
英文摘要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.
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
语种英语
WOS记录号WOS:000407230400004
出版者WORLD SCIENTIFIC PUBL CO PTE LTD
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/26228]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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