In 1974, J. Thas constructed a new class of maximal arcs for the Desarguesian plane of order $q^2$. The construction relied upon the existence of a regular spread of tangent lines to an ovoid in $\PG(3,q)$ and, in particular, it does apply to the Suzuki--Tits ovoid. In this paper, we describe an algorithm for obtaining a possible representation of such arcs in $\PG(2,q^2)$.

An algorithm for constructing some maximal arcs in PG(2,q^2)

GIUZZI, Luca
2008-01-01

Abstract

In 1974, J. Thas constructed a new class of maximal arcs for the Desarguesian plane of order $q^2$. The construction relied upon the existence of a regular spread of tangent lines to an ovoid in $\PG(3,q)$ and, in particular, it does apply to the Suzuki--Tits ovoid. In this paper, we describe an algorithm for obtaining a possible representation of such arcs in $\PG(2,q^2)$.
2008
Altra università italiana
PE1_5 Geometry
Esperti anonimi
Inglese
Internazionale
52
17
33
17
Maximal arcs; Desarguesian planes; Spreads
2
info:eu-repo/semantics/article
262
Aguglia, A; Giuzzi, Luca
1 Contributo su Rivista::1.1 Articolo in rivista
none
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11379/24712
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