2017; Physical and Mathematical Sciences, 51(3 (244): 236–240
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ON THE MINIMAL COSET COVERING FOR A SPECIAL SUBSET IN DIRECT PRODUCT OF TWO FINITE FIELDS

Ashot Minasya*

Received: 2025-02-05 · Published: 2017-12-15

© 2017 The Author(s) and the original publisher.

CC BY-NC 4.0 This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
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Original title
ON THE MINIMAL COSET COVERING FOR A SPECIAL SUBSET IN DIRECT PRODUCT OF TWO FINITE FIELDS
Author
Ashot Minasya
Published
2017-12-15
Licence
Creative Commons Attribution-NonCommercial 4.0 International
Original
https://doi.org/10.46991/PYSU:A/2017.51.3.236

Abstract

In this paper we estimate the minimal number of systems of linear equations of n+m variables over a finite field Fq such that the union of all solutions of all the systems coincides exactly with all elements of Fqn∗×Fqm∗.
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