Open AccessSeveral new classes of (balanced) Boolean functions with few Walsh transform values
Author(s) -
Tingting Pang,
Nian Li,
Li Zhang,
Xiangyong Zeng
Publication year - 2021
Publication title -
advances in mathematics of communications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.601
H-Index - 26
eISSN - 1930-5346
pISSN - 1930-5338
DOI - 10.3934/amc.2020095
Subject(s) - mathematics , boolean function , property (philosophy) , walsh function , product (mathematics) , bent function , discrete mathematics , combinatorics , arithmetic , mathematical analysis , philosophy , geometry , epistemology
Three classes of (balanced) Boolean functions with few Walsh transform values derived from bent functions, Gold functions and the product of linearized polynomials are obtained in this paper. Further, the value distributions of their Walsh transform are also determined by virtue of the property of bent functions, the Walsh transform property of Gold functions and the \begin{document}$ k $\end{document} -tuple balance property of trace functions respectively.