#16295: Faster is_orthogonal_array
-------------------------------------+-------------------------------------
       Reporter:  ncohen             |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.3
      Component:  combinatorial      |   Resolution:
  designs                            |    Merged in:
       Keywords:                     |    Reviewers:
        Authors:  Nathann Cohen      |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:  u/ncohen/16295     |  31e84b82913815b2005b5e2e45650c1568a45761
   Dependencies:  #16236             |     Stopgaps:
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Comment (by ncohen):

 Hello !

 Replying to [comment:47 brett]:
 > I have made almost all the changes.  In the code line
 >
 >
 > {{{
 > if verbose:
 >     print {"OA"   : "Columns {} and {} are not orthogonal".format(i,j),
 >            "MOLS" : "Matrices {} and {} are not
 orthogonal".format(i,j)}[terminology]
 >     return False
 > }}}
 >
 > Is there a compact way of switching depending on the values of i and j
 in the case that terminology=MOLS?  if i = 0 and j>1 then "square j-2" is
 not row latin.  if i=1 and J> 1 then square j-2 is not column latin"  if
 both i,j >2 then "square i-2 is not orthogonal to square j-2"

 This block of code is not about each matrix being a latin square.
 Actually, this is not checked anywhere so I will add a commit.

 This block of code is about the orthogonality of two matrices, i.e. do you
 find all possible pairs of integers when you read them simultaneously cell
 by cell.

 Nathann

--
Ticket URL: <http://trac.sagemath.org/ticket/16295#comment:48>
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