Authors: Dimitrova, Vesna
Bakeva, Verica
Popovska-Mitrovikj, Aleksandra
Krapež, Aleksandar 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Cryptographic properties of parastrophic quasigroup transformation
Journal: Advances in Intelligent Systems and Computing
Volume: 207 AISC
First page: 235
Last page: 243
Conference: 4th ICT Innovations Conference on Secure and Intelligent Systems; Ohrid; North Macedonia; 12 September 2012 through 15 September 2012
Issue Date: 1-Jan-2013
ISBN: 978-3-642-37168-4
ISSN: 2194-5357
DOI: 10.1007/978-3-642-37169-1_23
We consider cryptographic properties of parastrophic quasigroup transformation defined elsewhere. Using this transformation we classify the quasigroups of order 4 into three classes: 1) parastrophic fractal; 2) fractal and parastrophic non-fractal; and 3) non-fractal. We investigate the algebraic properties of above classes and present a relationship between fractal and algebraic properties of quasigroups of order 4. We also find a number of different parastrophes of each quasigroup of order 4 and use it to divide the set of all quasigroups of order 4 into four classes. Using these classifications the number of quasigroups of order 4 which are suitable for designing of cryptographic primitives is increased compared to the case where parastrophes are not used.
Keywords: cryptographic properties | experimental mathematics | parastrophic quasigroup transformations | quasigroup
Publisher: Springer Link

Show full item record


checked on Dec 3, 2023

Page view(s)

checked on Dec 3, 2023

Google ScholarTM




Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.