## Abstract In this paper, it is shown that a latin square of order __n__ with __n__ββ₯β3 and __n__ββ β6 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. Β© 2005 Wiley Periodicals, Inc. J Combin Designs 1
Some isomorphisms between pairs of latin squares
β Scribed by Judith Q Longyear
- Publisher
- Elsevier Science
- Year
- 1976
- Tongue
- English
- Weight
- 248 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0095-8956
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## 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__
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