#15286: Latin squares
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       Reporter:         |        Owner:
  ncohen                 |       Status:  needs_review
           Type:         |    Milestone:  sage-6.1
  enhancement            |   Resolution:
       Priority:  major  |    Merged in:
      Component:         |    Reviewers:
  combinatorics          |  Work issues:
       Keywords:         |       Commit:
        Authors:         |  e02d42c390b8f3841cea5548abb1588efb6d99a3
  Nathann Cohen          |     Stopgaps:
Report Upstream:  N/A    |
         Branch:         |
  u/ncohen/15286         |
   Dependencies:         |
  #15285                 |
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Comment (by ncohen):

 Hellooooooooo !!

 > As far as I understand, when you raise the ValueError at line 162, it
 means that the code does not exist. Not that the entries are not
 consistent, right ? (I guess this is the purpose of your Warning in the
 documentation). I would then prefer a NotImplementedError.

 Well, it means that we have no idea whether it exists or not, and in
 particular that Sage cannot built it. I don't really think it matters, but
 I can change it if you want.

 For instance, this paper was published not very long ago :
 
http://onlinelibrary.wiley.com/doi/10.1002/jcd.21384/abstract;jsessionid=6D04BFDDEA53369FE1ACDF6839FB7BD5.f01t01

 So you can see what these MOLS mean : some guys are actually fighting to
 know the maximum order of MOLS of a given size.

 > Could you give the definition of your product (in the doc) ? Note that
 there is also a different product in sage.combinat.matrices.latin_square
 called `direct_product` and needs four latin squares as entries.

 `O_o`

 Well, the product I use is also called a direct product in Stinson's book.
 Only his actually takes two latin squares of sizes `n,m` and returns a
 latin square of size `nxm`, which makes infinitely more sense than taking
 `4` squares as input with disjoints sets of symbols and concatenating them
 in a larger matrix. Sigh.. Combinat code..

 Anyway. Done, too.

 > Because of your rebase on 6.1.beta2 I need some time to compile ;-(

 Yeah, that's one of the problems with git.. If you just checkout an old
 patch, you recompile everything. Well, at least now your Sage is up to
 date `^^;`

 Nathann

--
Ticket URL: <http://trac.sagemath.org/ticket/15286#comment:8>
Sage <http://www.sagemath.org>
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