2014/05/21 by Michael Kiermaier, Reinhard Laue · 27 citations
Computer Science · Decision Sciences · Engineering · Mathematics · #Algorithm #Applied mathematics #Computer science #Discrete mathematics #Generalization #Manufacturing Process and Optimization #Mathematical analysis #Mathematics #Optimal Experimental Design Methods #Residual #Set (abstract data type) #Subspace topology #VLSI and Analog Circuit Testing #math.CO #msc:05B05 #msc:05B25 #msc:11Txx #msc:51E20
paper · pdf · doi:10.3934/amc.2015.9.105
published in Advances in Mathematics of Communications 9(1), 105-115 (American Institute of Mathematical Sciences)
arxiv created 2014/05/21 · openalex publication_date 2015/01/01 · arxiv updated 2015/10/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A generalization of forming derived and residual designs from t-designs to subspace designs is proposed.A q-analog of a theorem by Tran Van Trung, van Leijenhorst and Driessen is proven, stating that if for some (not necessarily realizable) parameter set the derived and residual parameter set are realizable, the same is true for the reduced parameter set.  As a result, we get the existence of several previously unknown subspace designs.Some consequences are derived for the existence of large sets of subspace designs.Furthermore, it is shown that there is no q-analog of the large Witt design.