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Existence of orthogonal latin squares with aligned subsquares

✍ Scribed by Katherine Heinrich; L Zhu

Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
600 KB
Volume
59
Category
Article
ISSN
0012-365X

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✦ Synopsis

It is shown that for both v and n even, v > n > 0, there exists a pair of orthogonal latin squares of order v with an aligned subsquare of order n if and only if v ~> 3n, v ~ 6, n 4= 2, 6. This is the final case in showing that the above result is true for all v J: 6 and for all n ~ 2, 6. When n = 6, the analogous result is obtained for incomplete arrays; the case n = 2 having been completed in earlier work.

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