Title
Balanced Odd-Variable Rsbfs With Optimum Ai, High Nonlinearity And Good Behavior Against Faas
Abstract
Rotation symmetric Boolean functions which are invariant under the action of cyclic group have been used in many different cryptosystems. This paper presents a new construction of balanced odd-variable rotation symmetric Boolean functions with optimum algebraic immunity. It is checked that, at least for some small variables, such functions have very good behavior against fast algebraic attacks. Compared with some known rotation symmetric Boolean functions with optimum algebraic immunity, the new construction has really better nonlinearity. Further, the algebraic degree of the constructed functions is also high enough.
Year
DOI
Venue
2019
10.1587/transfun.E102.A.818
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES
Keywords
Field
DocType
rotation symmetric Boolean function, algebraic immunity, nonlinearity, algebraic degree, fast algebraic immunity
Applied mathematics,Discrete mathematics,Nonlinear system,Mathematics
Journal
Volume
Issue
ISSN
E102A
6
0916-8508
Citations 
PageRank 
References 
0
0.34
0
Authors
5
Name
Order
Citations
PageRank
Yindong Chen1158.07
Fei Guo225.53
Hongyan Xiang300.34
Weihong Cai446.51
Xianmang He523.76