#16559: Brouwer-Van Rees version of Wilson's decomposition
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       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/16559     |  30370573b908d3f1f132f1fa87ced73326e1b9b4
   Dependencies:  #16500             |     Stopgaps:
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Comment (by ncohen):

 > You can provide the OA explicitly.

 I can provide the `OA` to `wilson_decomposition`, but it will require a OA
 with holes of size >1 and for this the code will call
 `incomplete_orthogonal_array`.

 > I mean: as it is, the function gives nothing new! Or more precisely, it
 does but only in principle... the only current positive effect is to slow
 down the Wilson construction!

 Right now it cannot help us compute new designs, indeed. Later, when we
 will have ways to compute holes of size `>1`, we will be able to use it. I
 don't work miracles, man. I can just implement constructions. And you can
 help me by making the `incomplete_orthogonal_arrays` function return OA
 with bigger holes.

 > I really think that it is a good thing to have. But with no application
 in mind it is a bit premature.

 And so what ?... You refuse the patch because of that ?... What do we earn
 by doing that ?..

 Nathann

--
Ticket URL: <http://trac.sagemath.org/ticket/16559#comment:7>
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