Construction for indecomposable simple \((v, k, \lambda)\)-BIBDs
type: Item
instance of: scholarly article
title: Construction for indecomposable simple \((v, k, \lambda)\)-BIBDs
zbMATH Open document ID: 0859.05018
DOI: 10.1016/0012-365X(94)00358-P
author: Xuebin Zhang
published in: Discrete Mathematics
publication date: 1997-04-13T00:00:00Z
review text: A \((v,k,\lambda)\)-BIBD is simple if it contains no repeated blocks and is decomposable if the blocks of the design can be partitioned into two designs with parameters \((v,k,\lambda_1)\) and \((v,k,\lambda_2)\) where \(\lambda_1+\lambda_2= \lambda\). It is indecomposable if it is not decomposable. This paper gives a new construction for indecomposable simple \((v,k,\lambda)\)-BIBD. As an application, the author proves that there exists an indecomposable simple \((v,3,\lambda)\)-BIBD for all \(v\geq 24\lambda-5\) satisfying the necessary conditions. This greatly improves the previous best bound which was of order \(\lambda^4\).
reviewed by: J. H. Dinitz
Mathematics Subject Classification ID: 05B05
zbMATH DE Number: 932573
zbMATH Keywords: indecomposable simple BIBD
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 932573