#20919: Apparent bug in incomplete orthogonal arrays
-------------------------------+-------------------------------------
       Reporter:  eviatarbach  |         Type:  defect
         Status:  new          |     Priority:  major
      Milestone:  sage-7.3     |    Component:  combinatorial designs
       Keywords:  days78       |    Merged in:
        Authors:               |    Reviewers:
Report Upstream:  N/A          |  Work issues:
         Branch:               |       Commit:
   Dependencies:               |     Stopgaps:
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 The docstring for `designs.incomplete_orthogocal_array` claims that if
 `existence=True`, the function will return a boolean or `Unknown`.
 However, for certain values, it returns the array.

 For example,

 {{{
 sage: type(designs.incomplete_orthogonal_array(9,82,[9],existence=True))
 <type 'list'>
 }}}

 I encountered this while working on something else, and I have no idea of
 the math behind this, but it seems to be incorrect. The problem seems to
 be in the block starting at line 1371 in `orthogonal_arrays.py` ("From a
 quasi-difference matrix"); all other branches in the function take into
 account whether `existence` is set, but this one does not.

--
Ticket URL: <https://trac.sagemath.org/ticket/20919>
Sage <http://www.sagemath.org>
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