This article is cited in 2 papers

Mathematics

On the minimal coset covering for a special subset in direct product of two finite fields

A. V. Minasyan

Chair of Discrete Mathematics and Theoretical Informatics YSU, Armenia

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 $\overset{\ast}{\mathbb{F}_{q}^{n}} \times \overset{\ast}{\mathbb{F}_{q}^{m}}$

Keywords: linear algebra, covering with cosets.

MSC: Primary 97H60; Secondary 14N20, 51E21

Received: 31.07.2017
Accepted: 22.10.2017

Language: English