Creative Commons Attribution Non Commercial Share Alike 4.0 InternationalBuratti, MarcoMarcoBurattiKiermaier, MichaelMichaelKiermaierKurz, SaschaSaschaKurzNakic, AnamariAnamariNakicWassermann, ManfredManfredWassermann2024-03-132018-07-2710.15495/do_ubt-10150018-3693https://doi.org/10.15495/do_ubt-10150018-3693https://rdspace.uni-bayreuth.de/handle/rdspace-ubt/22A 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.enCombinatoricsFinite GeometryGroup Divisible DesignSubspace Designq-analogs of DesignScattered SubspaceDatasetNatural SciencesMathematicsMathematicsMathematicsnatural sciencesmathematics