2014/05/23 by Michael Kiermaier, Mario Osvin Pavčević · 29 citations
Computer Science · Decision Sciences · Engineering · Mathematics · #Block (permutation group theory) #Coding theory and cryptography #Combinatorics #Discrete mathematics #Fano plane #Geometry #Intersection (aeronautics) #Mathematical analysis #Mathematical proof #Mathematics #Optimal Experimental Design Methods #Prime (order theory) #Prime power #Pure mathematics #Subspace topology #graph theory and CDMA systems #math.CO #msc:05B05 #msc:05B25 #msc:11Txx #msc:51E20
paper · pdf · doi:10.1002/jcd.21403
published in Journal of Combinatorial Designs 23(11), 463-480 (Wiley)
arxiv created 2014/05/23 · openalex publication_date 2014/07/29 · arxiv updated 2015/10/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Abstract Intersection numbers for subspace designs are introduced and q ‐analogs of the Mendelsohn and Köhler equations are given. As an application, we are able to determine the intersection structure of a putative q ‐analog of the Fano plane for any prime power q . It is shown that its existence implies the existence of a 2‐ subspace design. Furthermore, several simplified or alternative proofs concerning intersection numbers of ordinary block designs are discussed.