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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2017, Volume 51, Issue 3, Pages 236–240
(Mi uzeru416)
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This article is cited in 2 scientific papers (total 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.
Received: 31.07.2017 Accepted: 22.10.2017
Citation:
A. V. Minasyan, “On the minimal coset covering for a special subset in direct product of two finite fields”, Proceedings of the YSU, Physical and Mathematical Sciences, 51:3 (2017), 236–240
Linking options:
https://www.mathnet.ru/eng/uzeru416 https://www.mathnet.ru/eng/uzeru/v51/i3/p236
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Abstract page: | 101 | Full-text PDF : | 31 | References: | 19 |
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