A New Characterization of 2-Resilient Rotation Symmetric Boolean Functions
Jiao DU, Ziyu CHEN, Le Dong, Tianyin WANG, Shanqi Pang · IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences · 2023
In this paper, the notion of 2-tuples distribution matrices of the rotation symmetric orbits is proposed, by using the properties of the 2-tuples distribution matrix, a new characterization of 2-resilient rotation symmetric Boolean functions is demonstrated. Based on the new characterization of 2-resilient rotation symmetric Boolean functions, constructions of 2-resilient rotation symmetric Boolean functions (RSBFs) are further studied, and new 2-resilient rotation symmetric Boolean functions with prime variables are constructed.