Resistance to Statistical Attacks of Parastrophic Quasigroup Transformation

Abstract: The resistance to statistical kind of attacks of encrypted messages is a very important property for designing cryptographic primitives. In this paper, the parastrophic quasigroup PE-transformation, proposed elsewhere, is considered and the proof that it has this cryptographic property is given. Namely, it is proven that if PE-transformation is used for design of an encryption function then after n applications of it on arbitrary message the distribution of m-tuples (m = 1; 2; : : : ; n) is uniform. These uniform distributions imply the resistance to statistical attack of the encrypted messages. For illustration of theoretical results, some experimental results are presented as well.

Verica Bakeva, Aleksandra Popovska-Mitrovikj and Vesna Dimitrova. “Resistance to Statistical Attacks of Parastrophic Quasigroup Transformation”. International Journal of Advanced Computer Science and Applications (IJACSA) 6.9 (2015). http://dx.doi.org/10.14569/IJACSA.2015.060935

@article{Bakeva2015,
title = {Resistance to Statistical Attacks of Parastrophic Quasigroup Transformation},
journal = {International Journal of Advanced Computer Science and Applications},
doi = {10.14569/IJACSA.2015.060935},
url = {http://dx.doi.org/10.14569/IJACSA.2015.060935},
year = {2015},
publisher = {The Science and Information Organization},
volume = {6},
number = {9},
author = {Verica Bakeva and Aleksandra Popovska-Mitrovikj and Vesna Dimitrova}
}