Intersection numbers for subspace designs

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
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