## 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 |