A Proof for the Nonexistence of Some Homogeneous Bent Functions

作     者：MENGQing-shu ZHANGHuan-guo QINZhong-ping WANGZhang-yi 

作者机构：SchoolofComputerWuhanUniversityWuhan430072HubeiChina SchoolofSoftwareHuazhongUniversityotScienceandTechnologyWuhan430074HubeiChina 

出 版 物：《Wuhan University Journal of Natural Sciences》 (武汉大学学报（自然科学英文版）)

年 卷 期：2005年第10卷第3期

页      面：504-506页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：SupportedbytheNationalNaturalScienceFounda tionofChina(60373087 60473023 66973034) theNationalHigh TechnologyResearchandDevelopmentPlanofChina(2002AA41051) thePh.DProgramsFoundationofMinistryofEducationofChina(20020486046) 

主　　题：homogeneous bent functions Walsh transformation Hamming weight 

摘      要：By the relationship between the first linear spectra of a function at partialpoints and the Hamming weights of the sub-functions, and by the Hamming weight of homogenousBoolean function, it is proved that there exist no homogeneous bent functions ofdegree in in n = 2mvariables for m 3.