Geodesic
Classification of the hyperovals in \(\mathrm{PG}(2,64)\)
Peter Vandendriessche1
1Ghent University
The electronic journal of combinatorics, Tome 26 (2019) no. 2
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In this paper, we present a full classification of the hyperovals in the finite projective plane $\mathrm{PG}(2,64)$, showing that there are exactly 4 isomorphism classes. The techniques developed to obtain this result can be applied more generally to classify point sets with $0$ or $2$ points on every line, in a broad range of highly symmetric incidence structures.
DOI : 10.37236/7589
Classification : 51E22
Mots-clés : hyperovals, projective planes

Peter Vandendriessche  1

1 Ghent University 
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Peter Vandendriessche. Classification of the hyperovals in \(\mathrm{PG}(2,64)\). The electronic journal of combinatorics, Tome 26 (2019) no. 2. doi: 10.37236/7589

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