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Could you show me an example of an order 7 pandiagonal latin square? A pandiagonal latin square is one where no broken diagonal contains repeated symbols. I have found examples for smaller order but am unable to create one for $7\times 7$.

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    Danielle, the basic recipe: $L(i,j)=i+aj\pmod p$ works again. Has this not been covered in the book you are studying? Quite a few of your recent questions could be solved by looking for suitable conditions for the extra parameter $a$, and these exercises in the book have the air that you are expected to apply that rather than trying to brute force your way to a suitable latin square by educated guessing.2012-07-20

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