Hyperovals of Hermitian polar spaces
type: Item
instance of: scholarly article
title: Hyperovals of Hermitian polar spaces
zbMATH Open document ID: 1253.51007
author: Antonio Cossidente
author: Giuseppe Marino
published in: Designs, Codes and Cryptography
publication date: 2012-07-31T00:00:00Z
review text: The authors construct the first infinite family of hyperovals of the Hermitian generalized quadrangle arising from \({\mathcal H}(4,q^2)\), where \(q\) is even. They also give alternative geometric descriptions of the known hyperovals of \({{\mathcal H}(5,4)}\).
reviewed by: Basri Çelik
Mathematics Subject Classification ID: 51E20
Mathematics Subject Classification ID: 51E14
zbMATH DE Number: 6062563
zbMATH Keywords: Hermitian polar space
zbMATH Keywords: symmetric group
zbMATH Keywords: hyperoval
zbMATH Keywords: complete span
zbMATH Keywords: cyclic spread of a unital
MaRDI profile type: Publication
full work available at URL: s10623-011-9579-9
OpenAlex ID: W2030487062
cites work: Tight sets and \(m\)-ovoids of finite polar spaces
cites work: Locally polar spaces and related rank 3 groups
cites work: Hyperovals on \(\mathcal H(3,q^2)\)
cites work: Q3558618
cites work: The Action of the Group, q Even, and Related Combinatorial Structures
cites work: On hyperovals of polar spaces
cites work: Some maximal subgroups of \(PSL(n,q)\), \(n\geq 3,\;q=2^r\)
cites work: Extending polar spaces of rank at least 3
cites work: Q4217275
DOI: 10.1007/S10623-011-9579-9
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description: scientific article; zbMATH DE number 6062563