Construction of two \((15, 3,1)\) block designs
type: Item
instance of: scholarly article
title: Construction of two \((15, 3,1)\) block designs
zbMATH Open document ID: 0859.51002
DOI: 10.1007/BF02953323
published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
publication date: 1996-05-14T00:00:00Z
review text: It is known that there are 80 distinct 2--(15,3,1) designs, of which the classical one is the points and lines of \(PG (3,2)\). Here, two non-isomorphic designs are constructed from the \(10_3\) configuration whose points are the vertices of a tetrahedron \(T\) and the midpoints of its edges in an affine space over a field of characteristic not 2 or 3. Adding the centroids of the faces and the centroid of \(T\) completes the 15 points. The two designs are constructed from these 15 points, and one is \(PG (3,2)\).
Mathematics Subject Classification ID: 51E05
Mathematics Subject Classification ID: 05B05
zbMATH DE Number: 878374
zbMATH Keywords: block design
zbMATH Keywords: 15 points
author: Guenter Pickert
MaRDI profile type: Publication
cites work: Q4777977
cites work: An observation on certain point-line configurations in classical planes
cites work: Q4064611
full work available at URL: https://doi.org/10.1007/bf02953323
OpenAlex ID: W2013629209
description: scientific article; zbMATH DE number 878374