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Biometrics
Article . 1976 . Peer-reviewed
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https://dx.doi.org/10.2307/252...
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A Note on the Construction of Mutually Orthogonal Latin Squares

A note on the construction of mutually orthogonal latin squares
descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1976Publisher:JSTORJournal:Biometrics, volume 32, page 191 (issn: 0006-341X, Copyright policy )
Authors: Boob, B. S.; Agrawal, H. L.;

doi: 10.2307/2529349

A Note on the Construction of Mutually Orthogonal Latin Squares

Abstract

The construction of mutually orthogonal latin squares (MOLS) of side v when v is a prime power is well known (Bose, [19381). Methods of construction of mutually orthogonal latin squares for non-prime powers have been considered by many authors (MacNeish [1922], Mann [1942] and Raghavarao [19711). In this paper a very simple construction of s MOLS of side v is given where v = VIV2 ... Vm, S = min (St, S2, S.m) and si is the number of MOLS of side vs (i = 1, 2, ... , m).

Keywords

Orthogonal arrays, Latin squares, Room squares

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
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