Analyzing the Cryptographic Properties of the Boolean Representation of Quasigroups of order 4
Date Issued
2013
Author(s)
Trajcheska, Zlatka
Petkovska, Marija
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.
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.
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