#16231: Equivalence between OA/TD/MOLS
-------------------------+-------------------------------------------------
       Reporter:         |        Owner:
  ncohen                 |       Status:  needs_review
           Type:         |    Milestone:  sage-6.2
  enhancement            |   Resolution:
       Priority:  major  |    Merged in:
      Component:         |    Reviewers:
  combinatorics          |  Work issues:
       Keywords:         |       Commit:
        Authors:         |  a9dce705211f5593b926c0512a40ada05d978ff3
  Nathann Cohen          |     Stopgaps:
Report Upstream:  N/A    |
         Branch:         |
  u/ncohen/16231         |
   Dependencies:         |
  #15310, #16227         |
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Comment (by ncohen):

 Okay, I agree with your modifications except one :

 {{{
 +        if availability:
 +            return False
 +        from sage.categories.sets_cat import EmptySetError
 +        raise EmptySetError("No Transversal Design exists when k>=n+2")
 }}}

 We shouldn't duplicate non-existence results but rather forward them, in
 this case forward it from OA to TD.

 The nice thing is that later we will be able to implement a 'non-existence
 result' exactly like a construction !!

 A 'non-existence result' will be a function taking a "k,n,existence=" as
 parameter, which can sometimes return "False" as an answer instead of
 "Unknown" `;-)`

 Thiiiiiiiiiis code will become *COOL*.

 Nathann

--
Ticket URL: <http://trac.sagemath.org/ticket/16231#comment:8>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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