BIBD's with block-size seven
type: Item
instance of: scholarly article
title: BIBD's with block-size seven
zbMATH Open document ID: 0682.05010
DOI: 10.1016/0012-365X(89)90354-3
published in: Discrete Mathematics
publication date: 1989-01-01T00:00:00Z
review text: This paper is an addition to \textit{H. Hanani} [Balanced incomplete block designs and related designs, Discrete Math. 11, 255-269 (1975; Zbl 0361.62067)] and uses the numbering system from the preceding paper. The author proves that the obvious necessary conditions for the existence of a BIBD with \(k=7\) and \(\lambda =3\) and 21 are sufficient, with the possible exception of the values \(\lambda =3\) and \(v=323\), 351, 407, 519, 525, 575 and 665.
Mathematics Subject Classification ID: 05B05
zbMATH DE Number: 4116541
zbMATH Keywords: Balanced incomplete block designs
zbMATH Keywords: BIBD
author: Haim Hanani
reviewed by: Brian Alspach
MaRDI profile type: Publication
cites work: Balanced incomplete block designs and related designs
description: scientific article; zbMATH DE number 4116541