Paper 2021/1512

BLOCK CIPHER DEFINED BY MATRIX PRESENTATION OF QUASIGROUPS

Smile Markovski, Vesna Dimitrova, Zlatka Trajcheska, Marija Petkovska, Mile Kostadinoski, and Damjan Buhov

Abstract

Designing new cryptosystems and their cryptanalysis is the basic cycle of advancement in the field of cryptography. In this paper we introduce a block cipher based on the quasigroup transformations, which are defined by the matrix presentation of the quasigroup operations. This type of quasigroup presentation is suitable for constructing a block cipher since it doesn't require too much memory space to store all the necessary data, so it can be used even for lightweight cryptographic purposes. For now, we are considering only the quasigroups of order 4. Constructions with quasigroups of higher order and examination of the strengths and weaknesses of this design will be considered in next papers.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Preprint. Minor revision.
Keywords
block ciphersquasigroupmatrix form of quasigroup
Contact author(s)
smile markovski @ gmail com
vesna dimitrova @ finki ukim mk
History
2021-11-20: received
Short URL
https://ia.cr/2021/1512
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2021/1512,
      author = {Smile Markovski and Vesna Dimitrova and Zlatka Trajcheska and Marija Petkovska and Mile Kostadinoski and Damjan Buhov},
      title = {BLOCK CIPHER DEFINED BY MATRIX PRESENTATION OF QUASIGROUPS},
      howpublished = {Cryptology ePrint Archive, Paper 2021/1512},
      year = {2021},
      note = {\url{https://eprint.iacr.org/2021/1512}},
      url = {https://eprint.iacr.org/2021/1512}
}
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