Several Classes of Boolean Functions with Four-Valued Walsh Spectra-Reference-Cited by-同舟云学术

Several Classes of Boolean Functions with Four-Valued Walsh Spectra

Published:2017-06 Issue:04 Volume:28 Page:357-377
ISSN:0129-0541
Container-title:International Journal of Foundations of Computer Science
language:en
Short-container-title:Int. J. Found. Comput. Sci.

Author:

Sun Zhiqiang¹^ORCID,Hu Lei²³

Affiliation:

1. Key Laboratory of Mathematics Mechanization, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, P. R. China

2. State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences, Beijing 100093, P. R. China

3. School of Cyber Security, University of Chinese Academy of Sciences, Beijing 100049, P. R. China

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computer Science (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129054117500228

Reference20 articles.

1. On Dillonʼs class H of bent functions, Niho bent functions and o-polynomials

2. One-to-One Highly Nonlinear Power Functions on GF(2 n )

3. Uniformly Representable Permutation Polynomials

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