A new construction of weightwise perfectly balanced Boolean functions
| Autor: | Sihong Su, Rui Zhang |
|---|---|
| Rok vydání: | 2023 |
| Předmět: |
Discrete mathematics
Class (set theory) Algebra and Number Theory Degree (graph theory) Computer Networks and Communications Computer Science::Information Retrieval Applied Mathematics 020206 networking & telecommunications 0102 computer and information sciences 02 engineering and technology 01 natural sciences Microbiology Nonlinear system Integer 010201 computation theory & mathematics Algebraic immunity Quartic function 0202 electrical engineering electronic engineering information engineering Discrete Mathematics and Combinatorics Algebraic number Boolean function Mathematics |
| Zdroj: | Advances in Mathematics of Communications. 17:757-770 |
| ISSN: | 1930-5338 1930-5346 |
| Popis: | In this paper, we first introduce a class of quartic Boolean functions. And then, the construction of weightwise perfectly balanced Boolean functions on \begin{document}$ 2^m $\end{document} variables are given by modifying the support of the quartic functions, where \begin{document}$ m $\end{document} is a positive integer. The algebraic degree, the weightwise nonlinearity, and the algebraic immunity of the newly constructed weightwise perfectly balanced functions are discussed at the end of this paper. |
| Databáze: | OpenAIRE |
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