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Concerning eight mutually orthogonal latin squares
Author(s) -
Abel R. Julian R.,
Cavenagh Nicholas
Publication year - 2007
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/jcd.20121
Subject(s) - latin square , orthogonal array , mathematics , combinatorics , algebra over a field , pure mathematics , statistics , taguchi methods , rumen , chemistry , food science , fermentation
In this article, we provide a direct construction for 8 mutually orthogonal latin squares (MOLS)(48). Using this design together with one of Wilson's recursive constructions produces 8 new MOLS( v ) for 88 other values of v . We also mention a few other new sets of 8 and 12 MOLS obtained recursively. © 2006 Wiley Periodicals, Inc. J Combin Designs 15: 255–261, 2007
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