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

Title data

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

Official URL: Volltext

Abstract in another language

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.

Further data

Item Type: Article in a journal
Refereed: Yes
Keywords: arcs; blocking set; projective plane; incidence matrix; group of automorphisms; lattice point enumeration
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics II
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics and Didactics
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 22 Jan 2015 15:15
Last Modified: 22 Jan 2015 15:15
URI: https://eref.uni-bayreuth.de/id/eprint/5800