On incomplete orthogonal arrays
type: Item
instance of: scholarly article
title: On incomplete orthogonal arrays
zbMATH Open document ID: 0581.05012
DOI: 10.1016/0097-3165(85)90060-3
author: Francis Maurin
published in: Journal of Combinatorial Theory. Series A
publication date: 1985-01-01T00:00:00Z
review text: \textit{E. T. Parker} [Proc. Am. Math. Soc. 13, 219-221 (1962; Zbl 0105.015)] remarked that if an incomplete orthogonal array with parameters (1,r,s,k,2) exists then \(s\geq (r-1)k\). As the author shows, this result is easily extended to incomplete orthogonal arrays (1,r,s,k,t) for which \(s\geq (r-t+1)k\). \textit{K. A. Bush} [Ann. Math. Statistics 23, 426-434 (1952; Zbl 0047.017)] showed that, in an incomplete orthogonal array (1,r,s,k,t), if \(s\leq t\), then \(r\leq t+1\), and the author here observes that if \(s| t\), then \(r=t+1\).
Mathematics Subject Classification ID: 05B15
zbMATH DE Number: 3929020
zbMATH Keywords: incomplete orthogonal array
reviewed by: Katherine Heinrich
MaRDI profile type: Publication
full work available at URL: 0097-3165(85)90060-3
OpenAlex ID: W2091731131
cites work: Orthogonal Arrays of Index Unity
cites work: Sub-Latin squares and incomplete orthogonal arrays
cites work: Q5553299
cites work: Q5601477
description: scientific article; zbMATH DE number 3929020