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Please, some help on the 36-officers problem

  1. Jul 24, 2004 #1
    Can anyone explain me the problem of the 36-officers and the relation to finite fields ???

    References to other explainatory website-links are also very usefull.
  2. jcsd
  3. Jul 26, 2004 #2


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    I believe you would get more responses if you actually described the problem. I'm sure most of us don't know what the 36-officers problem is.
  4. Jul 26, 2004 #3
    Euler's famous 36 officers problem basically asks the question "Is it possible to construct mutually orthogonal latin squares of order 6?" The answer is no there does not exist a pair. It was shown by brute force by G. Tarry. I remember learning about this problem in my combinatorics class. As for the relation to finite fields, I'm not sure, I'll email one of my professors.
  5. Jul 26, 2004 #4


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