ON THE MINIMAL COSET COVERING FOR A SPECIAL SUBSET IN DIRECT PRODUCT OF TWO FINITE FIELDS

Authors

  • A.V. Minasyan Chair of Discrete Mathematics and Theoretical Informatics, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2017.51.3.236

Keywords:

linear algebra, covering with cosets.

Abstract

In this paper we estimate the minimal number of systems of linear equations of $n+m$ variables over a finite field $F_q$ such that the union of all solutions of all the systems coincides exactly with all elements of $\overset{\ast}{\mathbb{F}_{q}^{n}} \times \overset{\ast}{\mathbb{F}_{q}^{m}}$.

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Published

2017-12-15

How to Cite

Minasyan, A. (2017). ON THE MINIMAL COSET COVERING FOR A SPECIAL SUBSET IN DIRECT PRODUCT OF TWO FINITE FIELDS. Proceedings of the YSU A: Physical and Mathematical Sciences, 51(3 (244), 236–240. https://doi.org/10.46991/PYSU:A/2017.51.3.236

Issue

Section

Mathematics