#16361: OA(7,66), OA(7,68), OA(8,69), OA(7,74) and OA(8,76)
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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/16361     |  20ef21682cfe8b6532e2e2621b88d921236528f2
   Dependencies:  #16356             |     Stopgaps:
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Comment (by vdelecroix):

 Hello,

 `incomplete_orthogonal_array`:

 - Under the condition `x <= 3 and n > k-1 and k >= 3` it should return
 `orthogonal_array(k,n,existence=True)` and not `True`.

 - If `k=n+1` then we have a projective planes and all blocks intersect...
 so there is no `OA(n+1,n) - 2.OA(n+1,1)`. I added the appropriate test in
 `incomplete_orthogonal_array`.

 `OA_from_PBD`:

 - it makes more sense to use the function `incomplete_orthogonal_array`
 since it is here!!

 - I changed the end of the if/elif to forward the non-existence (and also
 avoid doctest error because of #16388)

 - I changed the doctest (which was just a copy of the one in
 `database.py`!!) to be something non-trivial

 see the changes on the branch `public/16361` (where #16461 is merged). I
 was able to build the doc and all test pass...

 Do you have further remarks? Otherwise it deserves a positive review.

 Vincent

--
Ticket URL: <http://trac.sagemath.org/ticket/16361#comment:9>
Sage <http://www.sagemath.org>
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