[R] Mutually Orthogonal Latin Squares
r.hankin at noc.soton.ac.uk
Fri Apr 21 09:50:07 CEST 2006
Finding even a pair of mutually orthogonal latin squares for
arbitrary order is a difficult problem. For example, Euler
conjectured that no orthogonal latin squares exist for order
4n+2; this was only disproved in 1960 (in 1900 it
was proved that there are none of order 6). . . . evidently
a complicated research topic!
Now, this doesn't quite answer your question, but functions
panmagic.4(), panmagic.8() and magic.8() of the magic package
use Latin squares of sizes 4 and 8 for their construction.
On 20 Apr 2006, at 16:36, Jinsong Zhao wrote:
> Hi all,
> The package crossdes could contruct a complete sets of mutually
> orthogonal latin squares.
> The construction works for prime powers only.
> I hope to know whether there is a way to construct a mutually
> orthogonal Lation square for
> 10 or other numbers that could not be prime powers.
> Thanks for any suggestions.
> Best wishes,
> Jinsong Zhao
> R-help at stat.math.ethz.ch mailing list
> PLEASE do read the posting guide! http://www.R-project.org/posting-
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