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Existence of conjugate orthogonal diagonal Latin squares
Author(s) -
Bennett F. E.,
Du B.,
Zhang H.
Publication year - 1997
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/(sici)1520-6610(1997)5:6<449::aid-jcd6>3.0.co;2-f
Subject(s) - diagonal , latin square , conjugate , mathematics , orthogonal array , combinatorics , square (algebra) , main diagonal , statistics , mathematical analysis , geometry , taguchi methods , rumen , chemistry , food science , fermentation
We shall refer to a diagonal Latin square which is orthogonal to its (3, 2, 1)‐conjugate and having its (3, 2, 1)‐conjugate also a diagonal Latin square as a (3, 2, 1)‐conjugate orthogonal diagonal Latin square, briefly CODLS. This article investigates the spectrum of CODLS and it is found that it contains all positive integers v except 2, 3, 6, and possibly 10. © 1997 John Wiley & Sons, Inc. J Combin Designs 5: 449–461, 1997