#16499: Cheap speedup in the OA recursive constructions
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   Reporter:  ncohen                 |            Owner:
       Type:  enhancement            |           Status:  new
   Priority:  major                  |        Milestone:  sage-6.3
  Component:  combinatorial designs  |         Keywords:
  Merged in:                         |          Authors:  Nathann Cohen
  Reviewers:                         |  Report Upstream:  N/A
Work issues:                         |           Branch:
     Commit:                         |     Dependencies:
   Stopgaps:                         |
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 There is a lot to save by not trying to build an Orthogonal Array when ...
 we already know that we are going to fail.

 This is the case when `orthogonal_arrays(k-1,n)` was called and returned
 "Unknown" : there is no point in trying to build an
 `orthogonal_array(k,n)` later.

 This can be cheaply fixed by querying the cache before trying to build the
 design.

 The "clean" fix would be to introduce a `is_available` along with the
 `existence` parameter, but this interface will probably change very soon
 so it is not the right time to touch all functions and deal with all
 combinations of existence/available/etc because of that. Besides, the
 current fix already does the job quite well.

 This will all become an Object Oriented Hell quite soon anyway .... `:-P`

 Nathann

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Ticket URL: <http://trac.sagemath.org/ticket/16499>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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