Pairwise orthogonal F-rectangle designs
type: Item
instance of: scholarly article
title: Pairwise orthogonal F-rectangle designs
zbMATH Open document ID: 0551.05024
DOI: 10.1016/0378-3758(84)90060-0
published in: Journal of Statistical Planning and Inference
publication date: 1984-01-01T00:00:00Z
full work available at URL: https://hdl.handle.net/1813/32895
review text: This paper applies the concept of orthogonal Latin squares to F-rectangle designs. Several results are obtained, among others: (i) A pair of orthogonal F-rectangle designs exists for any set of v treatments; (ii) Complete sets of orthogonal F-rectangle designs exist for all v for which v is a prime power; (iii) t orthogonal F-rectangle designs exist if t orthogonal Latin squares exist; (iv) Complete sets of orthogonal F- rectangle designs are constructed for \(v=2\) in 2 rows and 4k columns if a Hadamard matrix of order 4k exists. Some applications are presented to codes and orthogonal arrays.
Mathematics Subject Classification ID: 05B15
Mathematics Subject Classification ID: 62K99
zbMATH DE Number: 3877202
zbMATH Keywords: pairwise orthogonal Latin squares
zbMATH Keywords: pairwise orthogonal designs
zbMATH Keywords: row- column designs
author: Walter T. Federer
author: A. S. Hedayat
author: John P. Mandeli
reviewed by: B. Leo Raktoe
MaRDI profile type: Publication
OpenAlex ID: W2072654096
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description: scientific article; zbMATH DE number 3877202