#16272: redesign transversal designs
-------------------------------------+-------------------------------------
       Reporter:  vdelecroix         |        Owner:  Vincent Delecroix
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.2
      Component:  combinatorics      |   Resolution:
       Keywords:  designs,           |    Merged in:
  orthogona arrays                   |    Reviewers:
        Authors:  Vincent Delecroix  |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:  public/16272       |  ba89d70cda40900f7410574f2d0c3f987f5f47b8
   Dependencies:  #15310, #16227     |     Stopgaps:
-------------------------------------+-------------------------------------

Comment (by vdelecroix):

 I can not use the current !ProjectivePlaneDesign... here are the timings:
 {{{
 sage: %timeit designs.ProjectivePlaneDesign(9)
 1 loops, best of 3: 2.63 s per loop
 sage: %timeit designs.ProjectivePlaneDesign(16)  # WTF?
 1 loops, best of 3: 42.3 s per loop
 }}}
 2 secs are reasonable but 42 secs are not and I do not want to go further.
 Now with the straigthforward one I used it takes less than 1 sec:
 {{{
 sage: from sage.combinat.designs.block_design import
 projective_plane_as_OA
 sage: %timeit projective_plane_as_OA(9)
 100 loops, best of 3: 5.95 ms per loop
 sage: %timeit projective_plane_as_OA(16)
 10 loops, best of 3: 39.5 ms per loop
 }}}

 I do not want either to rewrite the whole !ProjectivePlaneDesign as it is
 not the purpose of that ticket. So please find a reasonable solution.

--
Ticket URL: <http://trac.sagemath.org/ticket/16272#comment:29>
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