An equivalence between \((T,M,S)\)-nets and strongly orthogonal hypercubes
type: Item
instance of: scholarly article
title: An equivalence between \((T,M,S)\)-nets and strongly orthogonal hypercubes
zbMATH Open document ID: 0860.05012
published in: Journal of Combinatorial Theory. Series A
publication date: 1997-04-21T00:00:00Z
review text: It is shown that the existence of a \((t,t+k,s)\)-net in base \(b\) is equivalent to the existence of a set of \(s\) strongly orthogonal hypercubes of dimension \(t+k\), order \(b\) and strength \(k\). The relationships between nets, orthogonal arrays and ordered orthogonal arrays are also discussed.
Mathematics Subject Classification ID: 05B15
Mathematics Subject Classification ID: 11K45
Mathematics Subject Classification ID: 65C05
zbMATH DE Number: 935001
zbMATH Keywords: strongly orthogonal hypercubes
zbMATH Keywords: nets
zbMATH Keywords: orthogonal arrays
author: Gary L. Mullen
author: Wolfgang Ch. Schmid
reviewed by: Kishore Sinha
MaRDI profile type: Publication
full work available at URL: jcta.1996.0098
OpenAlex ID: W2078062550
DOI: 10.1006/JCTA.1996.0098
description: scientific article; zbMATH DE number 935001