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Can somebody help me in generating Euler Square of index q, q-1 (where q is any prime power). Also, kidly tell me if there is any code availeble for generating the stated Euler Square. The details of Euler Squares may be found at: www.jstor.org/stable/1967920‎ (In particular, I fail to understand A and B in section-4 of above link).

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  • $\begingroup$ It might go better if you were to include a definition of Euler square in the body opf your question. $\endgroup$
    – Gerry Myerson
    Commented Apr 6, 2014 at 6:29
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    $\begingroup$ 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). $\endgroup$
    – Peter Dukes
    Commented Apr 6, 2014 at 20:39
  • $\begingroup$ 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. $\endgroup$
    – user49191
    Commented Apr 9, 2014 at 7:58

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