Hyperovals arising from a Singer group action on H(3,q2)$\mathcal{H}(3, q^2)$, q even-Reference-Cited by-同舟云学术

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

Published:2016-10-01 Issue:4 Volume:16 Page:481-486
ISSN:1615-7168
Container-title:Advances in Geometry
language:en
Short-container-title:

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

Link

https://www.degruyter.com/document/doi/10.1515/advgeom-2016-0021/pdf

Reference18 articles.

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2. B. Bagchi, N. S. Narasimha Sastry, Intersection pattern of the classical ovoids in symplectic 3-space of even order. J. Algebra126 (1989), 147–160. MR1023290 Zbl 0685.51006

3. S. Ball, P. Govaerts, L. Storme, On ovoids of parabolic quadrics. Des. Codes Cryptogr. 38 (2006), 131–145. MR2191130 Zbl 1172.51300

4. J. Bamberg, M. Law, T. Penttila, Tight sets and m-ovoids of generalised quadrangles. Combinatorica29 (2009), 1–17. MR2506384

5. F. Buekenhout, X. Hubaut, Locally polar spaces and related rank 3 groups. J. Algebra45 (1977), 391–434. MR0460155 Zbl 0351.05021

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