Title data
Buratti, Marco ; Kiermaier, Michael ; Kurz, Sascha ; Nakić, Anamari ; Wassermann, Alfred:
qanalogs of group divisible designs.
In: Schmidt, KaiUwe ; 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 9783110641790
Project information
Project title: 



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 qanalogs of group divisible designs. It turns out that there are interesting connections to scattered subspaces, qSteiner systems, design packings and q^rdivisible projective sets. We give necessary conditions for the existence of qanalogs 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 2dimensional subspace in GF(2)⁶ is covered at most twice.
Further data
Item Type:  Article in a book 

Refereed:  Yes 
Keywords:  group divisible designs; qanalogs; 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.unibayreuth.de/id/eprint/48691 