On the existence of pure \((v, 4, 3)\)-PMD
type: Item
instance of: scholarly article
title: On the existence of pure \((v, 4, 3)\)-PMD
zbMATH Open document ID: 0851.05019
DOI: 10.1016/0378-3758(95)00085-2
author: Qinglin Lu
published in: Journal of Statistical Planning and Inference
publication date: 1996-11-19T00:00:00Z
review text: A PMD is a perfect cyclic design, introduced by \textit{N. S. Mendelsohn} in his article [Perfect cyclic designs, Discrete Math. 20(1977), 63-68 (1978; Zbl 0369.05015)], and later called a perfect Mendelsohn design. A \((v, k, \lambda)\)-PMD can be viewed as a \((v, k, \lambda(k- 1))\)-BIBD. The PMD is called pure if the underlying BIBD contains no repeated blocks. The author of the present article shows that a pure \((v, 4, 3)\)-PMD exists if and only if \(v\equiv 0\) or \(1\pmod 4\) and \(v\geq 8\).
reviewed by: E. J. F. Primrose
Mathematics Subject Classification ID: 05B05
zbMATH DE Number: 906659
zbMATH Keywords: BIBD
zbMATH Keywords: perfect cyclic design
zbMATH Keywords: perfect Mendelsohn design
MaRDI profile type: Publication
full work available at URL: 0378-3758(95)00085-2
OpenAlex ID: W2077649786
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description: scientific article; zbMATH DE number 906659