A class of three-designs
type: Item
instance of: scholarly article
title: A class of three-designs
zbMATH Open document ID: 0395.05007
DOI: 10.1016/0097-3165(79)90050-5
author: Haim Hanani
published in: Journal of Combinatorial Theory. Series A
publication date: 1979-01-01T00:00:00Z
review text: The author proves that the obvious necessary conditions for the existence of 3-designs with \(k = 5\) and \(\lambda=30\) are in fact sufficient. As in his previous similar results the author allows repeated blocks. Besides special construction and recursive techniques the author also uses transversal designs and pairwise balanced designs in the course of his proof.
Mathematics Subject Classification ID: 05B05
Mathematics Subject Classification ID: 62K10
zbMATH DE Number: 3613048
zbMATH Keywords: class of three-designs
zbMATH Keywords: blocks
zbMATH Keywords: transversal designs
zbMATH Keywords: pairwise balanced designs
zbMATH Keywords: 3-designs
MaRDI profile type: Publication
full work available at URL: 0097-3165(79)90050-5
OpenAlex ID: W4213366122
cites work: An infinite class of 4-designs
cites work: Some 3-designs and a 4-design
cites work: An infinite class of 5-designs
cites work: New 5-designs
cites work: Some New 5-Designs
cites work: Q5592263
cites work: On Some Tactical Configurations
cites work: Q5661898
cites work: Balanced incomplete block designs and related designs
cites work: Q4083438
cites work: Q5641927
cites work: Symmetry codes over GF(3) and new five-designs
description: scientific article; zbMATH DE number 3613048