#16662: OA for n=1046,1059,2164,3992,3994
-------------------------------------+-------------------------------------
       Reporter:  ncohen             |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.4
      Component:  combinatorial      |   Resolution:
  designs                            |    Merged in:
       Keywords:                     |    Reviewers:
        Authors:  Nathann Cohen      |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:  u/ncohen/16662     |  8fcaed066b7f110af10c6a471cbebcad370bd312
   Dependencies:  #16604             |     Stopgaps:
-------------------------------------+-------------------------------------

Comment (by vdelecroix):

 Hello,

 Moving the `good` part would change nothing to the timings. You already
 have the following for the `m` loop which is the cost of everything
 {{{
             if not (orthogonal_array(k,m+0,existence=True) and
                     orthogonal_array(k,m+1,existence=True) and
                     orthogonal_array(k,m+2,existence=True)):
                 continue
 }}}
 If you feel like this function is too costly, we can remove it from the
 `find_recursive_constructions` and just store the interesting values:
 {{{
 if (k,n) not in  ((10,1046), (10,1048), (10,1059), (11,1524),
                   (11,2164), (12,3362), (12,3992),  (12,3994)):
     return False
 }}}

 About your question, you were right and we can even go up to `n=N-1`.

 Tell me what you think about the first question and I will add a commit.

 Vincent

--
Ticket URL: <http://trac.sagemath.org/ticket/16662#comment:28>
Sage <http://www.sagemath.org>
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