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

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

2006-11-15

arxiv.org/abs/math/0611466v2

Results in Mathematics 52 no. 1-2: 17-33 (2008)

Mathematics

Combinatorics

17 pages

Scientific paper

10.1007/s00025-007-0268-y

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

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