Abstract
d-dimensional dual hyperovals in a projective space of dimension n are the natural generalization of dual hyperovals in a projective plane. After proving some general properties of them, we get the classification of two-dimensional dual hyperovals in projective spaces of order 2. A characterization of the only two-dimensional dual hyperoval which is known in PG(5,4) is also given. Finally the classification of 2-transitive two-dimensional dual hyperovals is reached.
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Del Fra, A. On d-Dimensional Dual Hyperovals. Geometriae Dedicata 79, 157–178 (2000). https://doi.org/10.1023/A:1005244404475
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DOI: https://doi.org/10.1023/A:1005244404475