## Title data

Kiermaier, Michael ; Pavčević, Mario Osvin:

**Intersection numbers for subspace designs.**

*In:* Journal of Combinatorial Designs.
Vol. 23
(2015)
Issue 11
.
- pp. 463-480.

ISSN 1520-6610

DOI: https://doi.org/10.1002/jcd.21403

## Project information

Project title: |
Project's official title Project's id Action IC1104 Random Network Coding and Designs over GF(q) No information |
---|---|

Project financing: |
COST - European Cooperation in Science and Technology |

## Abstract in another language

Intersection numbers for subspace designs are introduced and q-analogs of the Mendelsohn and Köhler equations are given. As an application, we are able to determine the intersection structure of a putative q-analog of the Fano plane for any prime power q. It is shown that its existence implies the existence of a 2-(7,3,q^4)_q subspace design. Furthermore, several simplified or alternative proofs concerning intersection numbers of ordinary block designs are discussed.

## Further data

Item Type: | Article in a journal |
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Refereed: | Yes |

Subject classification: | Mathematics Subject Classification Code: 05B30 |

Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics II (Computer Algebra) 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: | 24 Mar 2016 07:40 |

Last Modified: | 02 Feb 2022 14:32 |

URI: | https://eref.uni-bayreuth.de/id/eprint/32032 |