Combinatorial Designs with Two Singular Values II. Partial Geometric Designs

In this and an earlier paper [17] we study combinatorial designs whose incidence matrix has two distinct singular values.These generalize (v, k, ë) designs, and include uniform multiplicative designs and partial geometric designs.Here we study the latter, which are precisely the designs with constant replication and block size.We collect most known results, give new characterization results, and we enumerate, partly by computer, all small ones.

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Year of publication:	2003
Authors:	van Dam, Edwin Robert ; Spence, E.
Institutions:	Tilburg University, Center for Economic Research
Subject:	matrices \| singularities \| geometry \| combinatorics

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Extent:	application/pdf
Series:	Discussion Paper.
Type of publication:	Book / Working Paper
Notes:	The text is part of a series CentER Discussion Paper Number 2003-94
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011092417