Hyperovals arising from a Singer group action on H(3,q2)$\mathcal{H}(3, q^2)$, q even

Author:

Cossidente Antonio1,King Oliver H.2,Marino Giuseppe3

Affiliation:

1. Dipartimento di Matematica, Informatica ed Economia, Università della Basilicata, 85100 Potenza, Italy

2. School of Mathematics and Statistics, Newcastle University, Newcastle upon Tyne NE1 7RU, England

3. Dipartimento di Matematica e Fisica, Seconda Università di Napoli, 81100 Caserta, Italy

Abstract

Abstract The action of a Singer cyclic group of order q 2 + 1 on the Hermitian surface H ( 3 , q 2 ) $\mathcal{H}(3, q^2)$ , q even, is investigated. Infinite families of hyperovals of size 2(q 2 + 1), q even, are then constructed.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

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