Blocking sets in \((v,\{ 2,4 \} ,1)\)-designs
type: Item
instance of: scholarly article
title: Blocking sets in \((v,\{ 2,4 \} ,1)\)-designs
zbMATH Open document ID: 0869.05008
DOI: 10.1023/A:1008291502915
author: Lynn M. Batten
author: Anne Penfold Street
author: Kris Coolsaet
published in: Designs, Codes and Cryptography
publication date: 1997-07-01T00:00:00Z
review text: A blocking set in a design is a partition of the points into two groups so that no block lies entirely within one class of the partition. In this paper, pairwise balanced designs on \(v\) points with block sizes two and four are considered. When \(v\equiv 1, 2\), or \(4\pmod{12}\), it is shown that such a PBD with a blocking set exists except possibly when \(v=37, 40\), or 73. When \(v\equiv 0, 3, 5, 6, 7, 8, 9, 11\pmod{12}\), it is shown that no such PBD has a blocking set. The situation when \(v\equiv 10\pmod{12}\) remains open.
reviewed by: Charles J. Colbourn
Mathematics Subject Classification ID: 05B05
zbMATH DE Number: 993503
zbMATH Keywords: blocking set
zbMATH Keywords: pairwise balanced designs
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 993503