#16347: Wilson's constructions of OA with 2 truncated groups
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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/16347     |  2e463514ceb2fb48d3c6fdc2a3391055bfafe373
   Dependencies:  #16391, #16373     |     Stopgaps:
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Changes (by vdelecroix):

 * status:  needs_review => needs_info


Comment:

 Hi Nathann,

 I do not like the fact that we would have to cache everything. Could we
 instead cache the construction? In other words, have a function
 {{{
 @cached_function
 def orthogonal_array_construction(n):
     r"""
     Return a triple `(k,f,args)` such that `k` is the maximum value
     such that Sage knows how to build a `OA(k,n)` and `f(*args)` actually
     return this `OA(k,n)`.
     """
 }}}
 Advantages:
  - that function can be use to speed up both boolean and designs answers
 of `orthogonal_array`.
  - we can remove the current cache from `find_wilson_decomposition*` and
 `TD_find_product_decomposition`
  - it might be used later on to draw the tree of constructions.

 I am not sure it is feasible, but without thinking too much, it looks like
 a good solution.

 Vincent

--
Ticket URL: <http://trac.sagemath.org/ticket/16347#comment:12>
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