Natural Science, Mathematics, 2025
ON THE MINIMAL COSET COVERING FOR A SPECIAL SUBSET IN DIRECT PRODUCT OF TWO FINITE FIELDS
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Submitted: 2025-02-04; Published: 2025-02-04
Š 2025 by author(s) and The Gufo Inc.
This work is licensed under Creative Commons AttributionâNonCommercial International License
(CC BY-NC 4.0).
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 FqnâĂFqmâ.