On a property of symmetric designs of order n\(\equiv 2(mod\,4)\)
type: Item
instance of: scholarly article
title: On a property of symmetric designs of order n\(\equiv 2(mod\,4)\)
zbMATH Open document ID: 0682.05014
DOI: 10.1007/BF01224230
author: Marco Buratti
published in: Journal of Geometry
publication date: 1989-01-01T00:00:00Z
review text: In this paper the author gives a new proof of the following theorem. If S is a symmetric (v,k,\(\lambda)\) design of order \(n\equiv 2\) (mod 4), then \(v\equiv \pm 1\) (mod 8). This theorem was first proved by U. Ott as a consequence of general results concerning unimodular lattices associated with such a design. This new proof uses only the Bruck-Ryser-Chowla theorem and the identity \(v\lambda =k^ 2-n\).
Mathematics Subject Classification ID: 05B05
Mathematics Subject Classification ID: 05B30
Mathematics Subject Classification ID: 51E05
zbMATH DE Number: 4116545
zbMATH Keywords: symmetric designs
zbMATH Keywords: block designs
zbMATH Keywords: Bruck-Ryser-Chowla theorem
MaRDI profile type: Publication
cites work: Q4090395
cites work: Q5582375
cites work: A Note on a Combinatorial Problem
description: scientific article; zbMATH DE number 4116545