Publisher: John Wiley & Sons Inc
E-ISSN: 1520-6610|23|11|463-480
ISSN: 1063-8539
Source: JOURNAL OF COMBINATORIAL DESIGNS, Vol.23, Iss.11, 2015-11, pp. : 463-480
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
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‐(7,3,q4)q subspace design. Furthermore, several simplified or alternative proofs concerning intersection numbers of ordinary block designs are discussed.
Related content
Intersection Numbers for Twisted Homology
By Togi Toyoshi
manuscripta mathematica, Vol. 114, Iss. 2, 2004-06 ,pp. :
Self-Intersection Numbers of Curves in the Doubly Punctured Plane
By Chas Moira Phillips Anthony
Experimental Mathematics, Vol. 21, Iss. 1, 2012-03 ,pp. :
Measured lamination spaces on surfaces and geometric intersection numbers
Topology and its Applications, Vol. 136, Iss. 1, 2004-01 ,pp. :