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Three mutually orthogonal Latin squares

โœ Scribed by W.H Mills


Publisher
Elsevier Science
Year
1972
Tongue
English
Weight
163 KB
Volume
13
Category
Article
ISSN
0097-3165

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Concerning eight mutually orthogonal lat
โœ R. Julian R. Abel; Nicholas Cavenagh ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 83 KB

## Abstract 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 ob

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Let N(n) denote the maximum numner of mutually orthogonal Latin squares of order n. II is shown that N(n) 3 7 for n > 4922.

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Let N ( n ) denote the maximum number of mutually orthogonal Latin squares of order n. It is shown that N(35) 2 5.

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A direct construction of six mutually orthogonal Latin squares of order 48 is given.