Can we find two mutually orthogonal diagonal latin squares of orders $4$ and $8$? A diagonal Latin square is a Latin square of order $n$ where the symbols $1$ thru $n$ fil both the forward diagonal and the back diagonal? It'd be great if you could show me the actual MOLS as well as the methodology.
Can we find two mutually orthogonal diagonal latin squares of orders $4$ and $8$?
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combinatorics
latin-square
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0I added an 8x8 example to my answer. – 2012-07-27