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On the non-existence of certain hyperovals in dual André planes of order 2\(^{2h}\). (English) Zbl 1160.51301

Summary: No regular hyperoval of the Desarguesian affine plane \(AG(2,2^{2h})\), with \(h>1\), is inherited by a dual André plane of order \(2^{2h}\) and dimension 2 over its kernel.

MSC:

51E15 Finite affine and projective planes (geometric aspects)
51E21 Blocking sets, ovals, \(k\)-arcs
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