Title data
Buratti, Marco ; Kiermaier, Michael ; Kurz, Sascha ; Nakić, Anamari ; Wassermann, Alfred:
qanalogs of group divisible designs.
Bayreuth
,
2018
.  17 S.


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Project information
Project title: 
Project's official title Project's id Ganzzahlige Optimierungsmodelle für Subspace Codes und endliche Geometrie No information 

Project financing: 
Deutsche Forschungsgemeinschaft 
Abstract
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 $q^r$divisible 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.
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 qanalogs of group divisible designs. (deposited 04 May 2018 06:21) [Currently Displayed]