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Apr 9, 2014 at 7:58 comment added user49191 Thank you for your reply. 'Euler Squares' by Harris F. MacNeish is available on google. This paper guarantees the existence/construction of Euler Square of index q,q-1 for prime or prime power q. I fail to understand it. I am interested in generating it (or coding it up). Quite frankly, I have just started reading papers on this topic.
Apr 6, 2014 at 20:39 comment added Peter Dukes Clarifications: (1) I can't get the link above to work. (2) If, by "Euler square of index $q$", you mean a pair of orthogonal latin squares of size $q$ as in mathworld.wolfram.com/EulerSquare.html, then your question is not really of research interest; sorry. This is just basic finite fields. (3) On the other hand, a pair of orthogonal latin squares of order $q-1$ may be a nontrivial matter (but still about 50 years old).
Apr 6, 2014 at 6:29 comment added Gerry Myerson It might go better if you were to include a definition of Euler square in the body opf your question.
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Apr 5, 2014 at 11:20
Apr 5, 2014 at 11:00 history asked user49191 CC BY-SA 3.0