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A short proof of the nonexistence of a pair of orthogonal latin squares of order six

โœ Scribed by D.R Stinson


Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
219 KB
Volume
36
Category
Article
ISSN
0097-3165

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๐Ÿ“œ SIMILAR VOLUMES


Six mutually orthogonal Latin squares of
โœ Mieczyslaw Wojtas ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 103 KB ๐Ÿ‘ 1 views

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

Embedding a latin square in a pair of or
โœ Peter Jenkins ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 123 KB

## Abstract In this paper, it is shown that a latin square of order __n__ with __n__โ€‰โ‰ฅโ€‰3 and __n__โ€‰โ‰ โ€‰6 can be embedded in a latin square of order __n__^2^ which has an orthogonal mate. A similar result for idempotent latin squares is also presented. ยฉ 2005 Wiley Periodicals, Inc. J Combin Designs 1

On the maximum number of different order
โœ Jeffrey H. Dinitz; Douglas R. Stinson ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 140 KB ๐Ÿ‘ 1 views

## Abstract In this paper, we study the problem of constructing sets of __s__ latin squares of order __m__ such that the average number of different ordered pairs obtained by superimposing two of the __s__ squares in the set is as large as possible. We solve this problem (for all __s__) when __m__