On the non--existence of certain hyperovals in dual André planes of order $2^{2h}$

Mathematics – Combinatorics

Scientific paper

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6 pages; reviewed version with generalisation to some dual Andr\'e planes, as well as updated proofs

Scientific paper

No regular hyperoval of the Desarguesian affine plane $AG(2,2^{2h})$, with
$h>1$, is inherited by a dual Andr\'e plane of order $2^{2h}$ with dimension 2
over its centre.

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