5-designs with three intersection numbers
type: Item
instance of: scholarly article
title: 5-designs with three intersection numbers
zbMATH Open document ID: 0823.05013
DOI: 10.1016/0097-3165(95)90105-1
author: M. S. Shrikhande
author: Yury J. Ionin
published in: Journal of Combinatorial Theory. Series A
publication date: 1995-02-09T00:00:00Z
review text: It is proved that the Witt 5-(24,8,1) design is the unique 5-\((v, k, \lambda)\) design with exactly three intersection numbers if \(k- 1\) is a prime or \(\lambda\leq 4\) or at least two intersection numbers are less than 5.
Mathematics Subject Classification ID: 05B05
Mathematics Subject Classification ID: 05B07
zbMATH DE Number: 720825
zbMATH Keywords: Witt 5-design
zbMATH Keywords: Steiner system
zbMATH Keywords: intersection numbers
reviewed by: Kishore Sinha
MaRDI profile type: Publication
full work available at URL: 0097-3165(95)90105-1
OpenAlex ID: W2065608274
cites work: Q3686719
cites work: A Diophantine equation arising from tight 4-designs
cites work: Quasi-Symmetric 3-Designs and Elliptic Curves
cites work: Q5707657
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cites work: Corrections and supplements to ``On tight 4-designs''
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cites work: On tight 6-designs
cites work: On t-designs
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description: scientific article; zbMATH DE number 720825