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

Ashot Minasyan

Received N/A; revised N/A; accepted N/A

This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

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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