A Steiner system \(S(5,6,108)\)
type: Item
instance of: scholarly article
title: A Steiner system \(S(5,6,108)\)
zbMATH Open document ID: 0803.05006
DOI: 10.1016/0012-365X(94)90159-7
author: T. S. Griggs
author: Michael John Grannell
published in: Discrete Mathematics
publication date: 1995-01-02T00:00:00Z
review text: The authors construct a Steiner system \(S(5,6,108)\) stabilized by PSL(2,107). This is the very first example of a Steiner system with such parameters and one of the few known ones with \((t,k)= (5,6)\). A collection of generators for 66 6-blocks orbits is given which under the action of the mentioned group provide all blocks of the Steiner system. The other known Steiner systems with \(t= 5\) are briefly surveyed.
Mathematics Subject Classification ID: 05B05
Mathematics Subject Classification ID: 51E10
Mathematics Subject Classification ID: 05B07
zbMATH DE Number: 562662
zbMATH Keywords: block designs
zbMATH Keywords: Steiner system
MaRDI profile type: Publication
cites work: Some New 5-Designs
cites work: Non-Isomorphic Reverse Steiner Triple Systems of Order 19
cites work: Q3884114
cites work: Q3048852
description: scientific article; zbMATH DE number 562662