Original Data of Publication "q-analogs of group divisible designs"

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dc.contributor.authorBuratti, Marco
dc.contributor.authorKiermaier, Michael
dc.contributor.authorKurz, Sascha
dc.contributor.authorNakic, Anamari
dc.contributor.authorWassermann, Manfred
dc.date.accessioned2024-03-13T15:58:20Z
dc.date.available2024-03-13T15:58:20Z
dc.date.issued2018-07-27
dc.description.abstractA 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, packing designs 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 packing design consisting of 180 blocks that such every 2-dimensional subspace in GF(2^6) is covered at most twice.en
dc.identifier.doi10.15495/do_ubt-10150018-3693
dc.identifier.urihttps://doi.org/10.15495/do_ubt-10150018-3693
dc.identifier.urihttps://rdspace.uni-bayreuth.de/handle/rdspace-ubt/22
dc.language.isoen
dc.publisherUniversity of Bayreuth
dc.relation.ispartof10.48550/arXiv.1804.11172
dc.relation.urihttps://doi.org/10.48550/arXiv.1804.11172
dc.rights.licenseCreative Commons Attribution Non Commercial Share Alike 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/4.0/
dc.subjectCombinatorics
dc.subjectFinite Geometry
dc.subjectGroup Divisible Design
dc.subjectSubspace Design
dc.subjectq-analogs of Design
dc.subjectScattered Subspace
dc.subject.dfg3 Natural Sciences
dc.subject.dfg3 Natural Sciences :: 33 Mathematics
dc.subject.dfg3 Natural Sciences :: 33 Mathematics :: 312 Mathematics
dc.subject.dfg3 Natural Sciences :: 33 Mathematics :: 312 Mathematics :: 312-01 Mathematics
dc.subject.openaire01 natural sciences
dc.subject.openaire01 natural sciences :: 0101 mathematics
dc.titleOriginal Data of Publication "q-analogs of group divisible designs"en
dc.typeDataset

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