English

On the non--existence of certain hyperovals in dual Andr\'e planes of order $2^{2h}$

Combinatorics 2013-06-03 v2

Abstract

No regular hyperoval of the Desarguesian affine plane AG(2,22h)AG(2,2^{2h}), with h>1h>1, is inherited by a dual Andr\'e plane of order 22h2^{2h} with dimension 2 over its centre.

Keywords

Cite

@article{arxiv.0803.1597,
  title  = {On the non--existence of certain hyperovals in dual Andr\'e planes of order $2^{2h}$},
  author = {A. Aguglia and L. Giuzzi},
  journal= {arXiv preprint arXiv:0803.1597},
  year   = {2013}
}

Comments

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