Open AccessThe GAC Property of a Class of 1‐Resilient Functions with High Nonlinearity
Author(s) -
Ge Hui,
Sun Yujuan,
Xie Chunlei
Publication year - 2020
Publication title -
chinese journal of electronics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.267
H-Index - 25
eISSN - 2075-5597
pISSN - 1022-4653
DOI - 10.1049/cje.2019.12.008
Subject(s) - nonlinear system , boolean function , class (philosophy) , property (philosophy) , mathematics , boolean network , discrete mathematics , computer science , physics , quantum mechanics , artificial intelligence , philosophy , epistemology
The absolute and sum‐of‐squares indicators are used to evaluate the Global avalanche characteristics (GAC) of Boolean functions in a global manner. The GAC properties of a class of highly nonlinear 1‐resilient Boolean functions are given. We derive new upper bounds of the absolute and sumofsquares indicators for a class of 1‐resilient Boolean functions with high nonlinearity. Compared to the known 1‐resilient Boolean functions, the constructed functions possess higher nonlinearity and better GAC properties.