Titlebar

Export bibliographic data
Literature by the same author
plus on the publication server
plus at Google Scholar

 

q-analogs of group divisible designs

Title data

Buratti, Marco ; Kiermaier, Michael ; Kurz, Sascha ; Nakić, Anamari ; Wassermann, Alfred:
q-analogs of group divisible designs.
In: Schmidt, Kai-Uwe ; Winterhof, Arne (ed.): Combinatorics and Finite Fields : Difference Sets, Polynomials, Pseudorandomness and Applications. - Berlin : De Gruyter , 2019 . - (Radon Series on Computational and Applied Mathematics ; 23 )
ISBN 978-3-11-064179-0

Project information

Project title:
Project's official titleProject's id
Ganzzahlige Optimierungsmodelle für Subspace Codes und endliche GeometrieNo information

Project financing: Deutsche Forschungsgemeinschaft

Abstract in another language

A well known class of objects in combinatorial design theory are group divisible designs.Here, we introduce the q-analogs of group divisible designs. It turns out that there are interesting connections to scattered subspaces, q-Steiner systems, design packings and q^r-divisible projective sets. We give necessary conditions for the existence of q-analogs of group divisible designs, construct an infinite series of examples, and provide further existence results with the help of a computer search. One example is a (6,3,2,2)₂ group divisible design over GF(2) which is a design packing consisting of 180 blocks that such every 2-dimensional subspace in GF(2)⁶ is covered at most twice.

Further data

Item Type: Article in a book
Refereed: Yes
Keywords: group divisible designs; q-analogs; scattered subspaces; packing designs; divisible sets; Steiner systems
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 in Economy
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics and Didactics
Result of work at the UBT: Yes
DDC Subjects: 000 Computer Science, information, general works > 004 Computer science
500 Science > 510 Mathematics
Date Deposited: 17 Apr 2019 07:10
Last Modified: 17 Apr 2019 07:10
URI: https://eref.uni-bayreuth.de/id/eprint/48691