# On some quasigroup cryptographical primitives

@article{Csrg2011OnSQ, title={On some quasigroup cryptographical primitives}, author={Piroska Cs{\"o}rg{\"o} and Victor A. Shcherbacov}, journal={ArXiv}, year={2011}, volume={abs/1110.6591} }

Using Vojvoda approach [34] we demonstrate that cryptographical primitives proposed in [26] are vulnerable relative to chosen ciphertext attack and chosen plaintext attack. We develop proposed in [31] modifications and add some new modifications of known quasigroup based stream ciphers [19, 26]. Systems of orthogonal n-ary groupoids are used.

## 4 Citations

Quasigroup based crypto-algorithms

- Mathematics, Computer ScienceArXiv
- 2012

Modifications of Markovski quasigroup based crypto-algorithm have been proposed, some of which are based on the systems of orthogonal n-ary groupoids.

New Developments in Quasigroup-Based Cryptography

- Computer Science, Mathematics
- 2014

This chapter offers an overview of new developments in quasigroup-based cryptography, especially of new defined quasGovernments, including Multivariate Quadratic Quasigroups and MQQ public key schemes, because of their potential to become one of the most efficient pubic key algorithms today.

Non-associative public-key cryptography

- Mathematics, Computer ScienceAMS-EMS-SPM Joint Meeting
- 2016

It is shown that left selfdistributive systems appear in a natural special case of a generalized AAG-KEP for magmas, and it is proposed, among others instances, concrete realizations using $f$-conjugacy in groups and shifted conjugacy in braid groups.

Orthogonality of linear (alinear) quasigroups and their parastrophes

- Mathematics
- 2014

Necessary and sufficient conditions of orthogonality of left(right) linear (alinear) quasigroups in various combinations are given. As corollary we obtain conditions of parastroph orthogonality of…

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