Ovals and Hyperovals in Desarguesian Nets

Mathematics – Combinatorics

Scientific paper

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21 pages, LaTeX. We have added a three-page section 6 (with non-existence results). We have also made explicit that ovals of D

Scientific paper

We determine the Desarguesian planes which hold $r$-nets with ovals and those
which hold $r$-nets with hyperovals for every $r \le 7$.

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