Construction of (n,r)-arcs in PG(2,q)

Titelangaben

Braun, Michael ; Kohnert, Axel ; Wassermann, Alfred:
Construction of (n,r)-arcs in PG(2,q).
In: Innovations in Incidence Geometry. Bd. 1 (2005) . - S. 133-141.
ISSN 1781-6475

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Abstract

We construct new (n,r)-arcs in PG(2,q) by prescribing a group of automorphisms and solving the resulting Diophantine linear system with lattice point enumeration. We can improve the known lower bounds for q = 11, 13, 16, 17, 19 and give the first example of a double blocking set of size n in PG(2,p) with n < 3p and p prime.