I had stumbled across a page earlier today that contained the maximally sized sets for mutually orthogonal latin squares of prime power order. I cannot, however, find this page again. Would you be able to help me with this?
Directory of MOLS that are prime powers?
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1 Answers
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A set of (n-1)-MOLS(n), for prime power n, can be constructed similar to the constructed for prime n I mentioned in this other question, by generalising to finite fields. A proof is available in e.g.:
P. J. Cameron, Combinatorics: Topics, Techniques, Algorithms, (1994), Cambridge University Press.