Vol. 1, No. 1, 2005

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Construction of $(n,r)$-arcs in $\mathrm{PG}(2,q)$

Michael Braun, Axel Kohnert and Alfred Wassermann

Vol. 1 (2005), No. 1, 133–141

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.

Mathematical Subject Classification 2000
Primary: 05B25, 51E20, 51E20
Received: 23 December 2004
Accepted: 17 January 2005
Michael Braun
Axel Kohnert
Alfred Wassermann