A Proof for the Nonexistence of Some Homogeneous Bent Functions

By the relationship between the first linear spectra of a function at partial points and the Hamming weights of the sub-functions, and by the Hamming weight of homogenous Boolean function, it is proved that there exist no homogeneous bent functions of degree rn in n= 2m variables for m＞3.

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Bibliographic Details
Published in:Wuhan University journal of natural sciences 2005-05, Vol.10 (3), p.504-506
Main Authors: Meng, Qing-Shu, Zhang, Huan-Guo, Qin, Zhong-Ping, Wang, Zhang-Yi
Format: Article
Language:English
Subjects:
Boolean functions
Hamming加权
Mathematical analysis
Walsh变换
不存在性
同类倾向函数
布尔函数
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Description
Summary:By the relationship between the first linear spectra of a function at partial points and the Hamming weights of the sub-functions, and by the Hamming weight of homogenous Boolean function, it is proved that there exist no homogeneous bent functions of degree rn in n= 2m variables for m＞3.
ISSN:1007-1202
1993-4998
DOI:10.1007/bf02831133