#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:
-------------------------------------+-------------------------------------

Comment (by ncohen):

 Hello,

 > I understand what the code is doing.  When I say "square" I mean "latin
 square"  and in the language of MOLS column 0 of an OA is the row index of
 the Squares, column 1 is the column index and column i is latin square
 i-2.

 Right now when `are_mutually_latin_squares` calls `is_orthogonal_array` it
 does not check that the resulting OA is a `OA(k+2,n)` but only that it is
 a `OA(k,n)`. This, because the OA that is produced has only k columns and
 not k+2. This, because the columns corresponding to the row indices and
 the columns indices are not added to the OA.

 This way, when the sequence of matrices is not a MOLS, the error message
 is that "matrix i is not orthogonal with matrix j" or that "matrix i is
 not a latin squares".

 Which is, I believe, clearer to the user and easier to implement than by
 messing with the error messages of `is_orthogonal_design`.

 Nathann

--
Ticket URL: <http://trac.sagemath.org/ticket/16295#comment:51>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

-- 
You received this message because you are subscribed to the Google Groups 
"sage-trac" group.
To unsubscribe from this group and stop receiving emails from it, send an email 
to [email protected].
To post to this group, send email to [email protected].
Visit this group at http://groups.google.com/group/sage-trac.
For more options, visit https://groups.google.com/d/optout.

Reply via email to