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
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 (Computer Algebra) 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 |