Analysis of Some Quasigroup Transformations as Boolean Functions

摘要

Two kind of attacks on cryptographic primitives - the linear and the differential cryptanalysis, have been occupied the attention of the cryptographic community since several years ago. Every cryptographic primitive can be examined as a vector valued Boolean function. The prop ratio tables and the correlation matrices are important tools for analyzing the resistance of any Boolean function to the linear and the differential cryptanalysis. There are several cryptographic primitives based on the so called quasigroup transformations, and in this paper we analyze these quasigroup transformations as Boolean functions. We examine correlation matrices, prop ratio tables and some other cryptographic properties.