2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/168653The fundamental combinatorial structure of a net in CP^2 is its associated set of mutually orthogonal latin squares. We define equivalence classes of sets of orthogonal Latin squares by label equivalences of the lines of the corresponding net in CP^2. Then we count these equivalence classes for small cases. Finally, we prove that the realization spaces of these classes in CP^2 are empty to show some non-existence results for 4-nets in CP^2.14 pagesCombinatoricsAlgebraic Geometry52C30; 05B30text