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

A. Aguglia; L. Giuzzi

doi:10.1007/s00025-007-0268-y

paper

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

arXiv:math/0611466 · doi:10.1007/s00025-007-0268-y

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 $\PG(2,q^2)$.

17 pages