Intersection numbers for subspace designs
Combinatorics
2015-10-16 v1
Abstract
Intersection numbers for subspace designs are introduced and -analogs of the Mendelsohn and K\"ohler equations are given. As an application, we are able to determine the intersection structure of a putative -analog of the Fano plane for any prime power . It is shown that its existence implies the existence of a - subspace design. Furthermore, several simplified or alternative proofs concerning intersection numbers of ordinary block designs are discussed.
Cite
@article{arxiv.1405.6110,
title = {Intersection numbers for subspace designs},
author = {Michael Kiermaier and Mario Osvin Pavčević},
journal= {arXiv preprint arXiv:1405.6110},
year = {2015}
}