A characterization of projective subspaces of codimension two as quasi-symmetric designs with good blocks

Baartmans, Alphonse ; Sane, Sharad (2006) A characterization of projective subspaces of codimension two as quasi-symmetric designs with good blocks Discrete Mathematics, 306 (14). pp. 1493-1501. ISSN 0012-365X

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Official URL: http://www.sciencedirect.com/science/article/pii/S...

Related URL: http://dx.doi.org/10.1016/j.disc.2005.11.034

Abstract

Consider an incidence structure whose points are the points of a PGn(n+2,q) and whose block are the subspaces of codimension two, where n≥2. Since every two subspaces of codimension two intersect in a subspace of codimension three or codimension four, it is easily seen that this incidence structure is a quasi-symmetric design. The aim of this paper is to prove a characterization of such designs (that are constructed using projective geometries) among the class of all the quasi-symmetric designs with correct parameters and with every block a good block. The paper also improves an earlier result for the special case of n=2 and obtains a Dembowski-Wagner-type result for the class of all such quasi-symmetric designs.

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Deposited On:02 Nov 2011 03:12
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