2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/145876It is proved that for any two subsets $A$ and $B$ of an arbitrary finite field $\Fq$ such that $|A||B|>q$ the identity $16AB=\Fq$ holds. Moreover, it is established that for every subsets $X, Y\subset \Fq$ with the property $|X||Y|\geqslant 2q$ the equality $8XY=\Fq$ holds.11 pagesNumber TheoryCombinatorics11P05; 11T30text