#16430: Small speedup for OA(None,p^c)
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       Reporter:  ncohen             |        Owner:
           Type:  enhancement        |       Status:  needs_info
       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/16430     |  03c1f4515b266f11e905136d6bda9a9de126b322
   Dependencies:                     |     Stopgaps:
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Comment (by ncohen):

 Okayyyyyyyyy... I fixed several things, as this ticket seems to be a
 "small bugfixes" dictionary `:-P`

 1) More explicit error messages in _check_pbd. This function will be
 rewritten in Cython later anyway, but this way we will not forget the
 error messages.

 2) We can always build an `OA(1341,0)`, i.e. the empty list

 3) There is always an `orthogonal_array(t,n,t=t)`. It is just the result
 of `[k]^k`

 4) I fixed the "undefined for `t<k` bug you mentionned, but I wondered if
 there was a reason to have such an exception. I mean, if you want a
 property to hold "for any t columns", it holds in particular when you have
 <t columns doesn't it ? So I would vote for removing this exception. If
 you agree with it I will add a commit, while in the updated branch the
 problem is avoided without touching this line

 5) I return an `OA(t,n,t)` directly to avoid calling
 `is_orthogonal_array`. It is safe because the orthogonal array I return IS
 an orthogonal array, and I do it because `is_orthogonal_array` does not
 support t>2 yet. But then, those orthogonal arrays are the only ones we
 can return with t>2.

 Nathann

--
Ticket URL: <http://trac.sagemath.org/ticket/16430#comment:11>
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