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Concerning seven and eight mutually orthogonal Latin squares
Author(s) -
R. Abel R. Julian,
Colbourn Charles J.,
Wojtas Mieczyslaw
Publication year - 2003
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.10070
Subject(s) - mathematics , orthogonal array , latin square , combinatorics , value (mathematics) , statistics , organic chemistry , rumen , chemistry , taguchi methods , fermentation
In this paper, three new direct Mutually Orthogonal Latin Squares (MOLS) constructions are presented for 7 MOLS(24), 7 MOLS(75) and 8 MOLS(36); then using recursive methods, several new constructions for 7 and 8 MOLS are obtained. These reduce the largest value for which 7 MOLS are unknown from 780 to 570, and the largest odd value for which 8 MOLS are unknown from 1935 to 419. © 2003 Wiley Periodicals, Inc.
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