Intersection Numbers For Subspace Designs
Copyright policy )Intersection Numbers For Subspace Designs
AbstractIntersection 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.
- University of Bayereuth Germany
- University of Zagreb, Faculty of Electrical Engineering and Computing Croatia
- University of Bayreuth Germany
- University of Zagreb Croatia
\(q\)-analog, intersection number, subspace design; q-analog; intersection number; block design; Fano plane, Fano plane, Other designs, configurations, block design, FOS: Mathematics, Mathematics - Combinatorics, Primary 51E20, Secondary 05B05, 05B25, 11Txx, Combinatorics (math.CO), subspace design
\(q\)-analog, intersection number, subspace design; q-analog; intersection number; block design; Fano plane, Fano plane, Other designs, configurations, block design, FOS: Mathematics, Mathematics - Combinatorics, Primary 51E20, Secondary 05B05, 05B25, 11Txx, Combinatorics (math.CO), subspace design
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