曹喜望
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Several classes of Boolean functions with few Walsh transform values
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Affiliation of Author(s):理学院

Journal:APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING

Key Words:Boolean function Bent function Semi-bent function Five-valued function Walsh transform

Abstract:In this paper, several classes of Boolean functions with few Walsh transform values, including bent, semi-bent and five-valued functions, are obtained by adding the product of two or three linear functions to some known bent functions. Numerical results show that the proposed class contains cubic bent functions that are affinely inequivalent to all known quadratic ones.

ISSN No.:0938-1279

Translation or Not:no

Date of Publication:2017-03-01

Co-author:Xu, Guangkui,Xu, Shanding

Correspondence Author:cxw

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Professor
Supervisor of Doctorate Candidates

Gender:Male

Education Level:北京大学

Degree:Doctoral Degree in Science

School/Department:College of Science

Discipline:Basic Mathematics. Applied Mathematics. Mathematics

Contact Information:http://faculty.nuaa.edu.cn/cxw1/zh_CN/index.htm

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