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Research Article | Open Access |

Resistance to Statistical Attacks of Parastrophic Quasigroup Transformation

Author 1: Verica Bakeva Author 2: Aleksandra Popovska-Mitrovikj Author 3: Vesna Dimitrova
International Journal of Advanced Computer Science and Applications (IJACSA) · Vol. 6, No. 9 · Published 2015

DOI: 10.14569/IJACSA.2015.060935

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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.

Keywords

uniform distribution cryptographic properties sta-tistical attack encrypted message quasigroup parastrophic quasi-group transformation

How to Cite this Article

Bakeva, V., Popovska-Mitrovikj, A., & Dimitrova, V. (2015). Resistance to Statistical Attacks of Parastrophic Quasigroup Transformation. International Journal of Advanced Computer Science and Applications, 6(9). https://doi.org/10.14569/IJACSA.2015.060935

Bakeva, Verica, et al.. "Resistance to Statistical Attacks of Parastrophic Quasigroup Transformation." International Journal of Advanced Computer Science and Applications, vol. 6, no. 9, 2015, https://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},
  volume    = {6},
  number    = {9},
  year      = {2015},
  publisher = {The Science and Information Organization},
  author    = {Verica Bakeva and Aleksandra Popovska-Mitrovikj and Vesna Dimitrova},
  doi       = {10.14569/IJACSA.2015.060935},
  url       = {https://doi.org/10.14569/IJACSA.2015.060935}
}

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