Two new classes of difference families
type: Item
instance of: scholarly article
title: Two new classes of difference families
zbMATH Open document ID: 0947.05013
author: Marco Buratti
published in: Journal of Combinatorial Theory. Series A
publication date: 2000-09-20T00:00:00Z
review text: Using elementary geometry on a finite field of order \(q\) classes of \((q^2,k,k-1)\) and \((q^2,k+1,k+1)\) difference families are constructed, where \(k=m(q-1)\) and \(q+1=mn\). There are \((q+1)!/n!(m!)^n\) ways to apply the theorem.
Mathematics Subject Classification ID: 05B10
zbMATH DE Number: 1474641
zbMATH Keywords: difference families
zbMATH Keywords: geometry on a finite field
reviewed by: Giovanni Ferrero
MaRDI profile type: Publication
full work available at URL: jcta.1999.3038
OpenAlex ID: W2061628096
cites work: Q4876947
cites work: New classes of residue supplementary difference systems
cites work: Cyclotomy and difference families in elementary Abelian groups
DOI: 10.1006/JCTA.1999.3038
description: scientific article; zbMATH DE number 1474641