Allgemeine Schnittzahlen in t-Designs. (General intersection numbers in t-designs)
type: Item
instance of: scholarly article
title: Allgemeine Schnittzahlen in t-Designs. (General intersection numbers in t-designs)
zbMATH Open document ID: 0683.05009
DOI: 10.1016/0012-365X(88)90141-0
author: Egmont Köhler
published in: Discrete Mathematics
publication date: 1989-01-01T00:00:00Z
review text: The author examines the intersection numbers of t-designs and establishes a formula relating them. He uses his formula to show that a \(t- (v,k,\lambda)\) design does not exist whenever, for twin primes, p and \(p+2\) with \(p\geq 5,\) \(t=p-1,\) \(v=2p+1,\) \(k=p+3,\) \(\lambda =(1/6)(p+7).\)
Mathematics Subject Classification ID: 05B05
zbMATH DE Number: 4118382
zbMATH Keywords: intersection numbers
zbMATH Keywords: t-designs
MaRDI profile type: Publication
cites work: Q3686719
cites work: Q5707657
cites work: Intersection triangles and block intersection numbers of Steiner systems
cites work: Q4135542
cites work: Q5187289
cites work: Q5626681
cites work: Q5672644
cites work: On t-designs
description: scientific article; zbMATH DE number 4118382