Sensitivities and block sensitivities of elementary symmetric Boolean functions

Autor: Zhang Jing, Li Yuan, Adeyeye John O.
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Journal of Mathematical Cryptology, Vol 15, Iss 1, Pp 434-453 (2021)
Druh dokumentu: article
ISSN: 1862-2984
DOI: 10.1515/jmc-2020-0042
Popis: Boolean functions have important applications in molecular regulatory networks, engineering, cryptography, information technology, and computer science. Symmetric Boolean functions have received a lot of attention in several decades. Sensitivity and block sensitivity are important complexity measures of Boolean functions. In this paper, we study the sensitivity of elementary symmetric Boolean functions and obtain many explicit formulas. We also obtain a formula for the block sensitivity of symmetric Boolean functions and discuss its applications in elementary symmetric Boolean functions.
Databáze: Directory of Open Access Journals