#15310: Wilson's construction of Transversal Designs/Orthogonal Arrays/MOLS
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       Reporter:         |        Owner:
  ncohen                 |       Status:  needs_review
           Type:         |    Milestone:  sage-6.2
  enhancement            |   Resolution:
       Priority:  major  |    Merged in:
      Component:         |    Reviewers:
  combinatorics          |  Work issues:
       Keywords:         |       Commit:
        Authors:         |  f23fa885ee5a080f2a8051f23f7fc9f130541849
  Nathann Cohen          |     Stopgaps:
Report Upstream:  N/A    |
         Branch:         |
  u/ncohen/15310         |
   Dependencies:         |
  #15287, #15431         |
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Comment (by ncohen):

 Yoooooooooooo !!

 > I am not sure I would be able to do the full review.

 PLeaaaaaaaaaaase.. I swear, all the results are checked before being
 returned ! And the algorithms are so weird that the slightest typo would
 make all results wrong `:-P`
 > Nevertheless, you can can speed up '''a lot''' the function
 `find_wilson_decomposition` using the fact that if a TD(k,n) exists then
 we have the inequality `k <= n+1`.

 Oh ?

 > Here is a sample version of what can be done:

 What does it change exactly ? That the `TD(k,u)` is not called when the
 answer is obviously no ? Wouldn't we get the very same result by moving
 the check of `TD(k,u)` to the top of the 4 tests ?

 Nathann

--
Ticket URL: <http://trac.sagemath.org/ticket/15310#comment:16>
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