2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63325We determine the Desarguesian planes which hold $r$-nets with ovals and those which hold $r$-nets with hyperovals for every $r \le 7$.21 pages, LaTeX. We have added a three-page section 6 (with non-existence results). We have also made explicit that ovals of Desarguesian nets are ``affinely equivalent'' under certain assumptionsCombinatorics51E14text