Constructions of rotation symmetric Boolean functions satisfying almost all cryptographic criteria

Abstract

Constructions of Boolean functions with various cryptographic properties have always been an important challenge in cryptography. This paper proposes systematic constructions of even-variable rotation symmetric Boolean functions satisfying almost all cryptographic criteria, that is, resiliency, optimal algebraic degree, strict avalanche criterion, high nonlinearity, nonexistence of nonzero linear structures, good global avalanche characteristics. Moreover, some of the constructions also have high algebraic immunity. This is the first time that Boolean functions having such cryptographic properties are obtained, which can be considered as good candidates for the design of real-life encryption schemes.