Analyzing the Cryptographic Properties of the Boolean Representation of Quasigroups of order 4

Abstract

The advancement of cryptology includes various types of mathematical disciplines. Quasigroups are algebraic structures that are fit for cryptographic use and their cryptographic properties are intriguing. Looking into these properties we can classify the quasigroups based on different criteria and sort out the ones with best attributes for encryption and resistance to attacks. The Boolean representations of quasigroups allow us to find out more about their cryptographic properties. In this paper we will use those representations to analyze some of their properties and compare the results with previous research. The scope of this research are quasigroups of order 4.