#16500: New recursive constructions of Orthogonal Arrays
-------------------------------------+-------------------------------------
       Reporter:  ncohen             |        Owner:
           Type:  enhancement        |       Status:  needs_review
       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/16500     |  770a28da24236a2b13f905eab3d827e0fbfe34d8
   Dependencies:  #16499             |     Stopgaps:
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Comment (by ncohen):

 Yo !

 I updated the "find" functions a bit. Nothing smart, just common sense,
 and the `MOLS_table` function is fast again. Yeepeeeeeeeeee !!! `:-P`

 > - It would be nice to have references! You provide `[AC07]_` for
 `construction_3_4` but that's all.

 Ahahahah. I had nothing else `:-P`

 I tried to reverse-engineer the construction from the theorem's claim, and
 when I was not able too I asked Julian R. Abel for a hint. This being
 said, the explanations I give in the docstring are more or less like a
 proof.

 > - Why you did not move `product`, `one_truncated_group` and
 `two_trucated_group` in the recursive construction?

 Because I thought that it would be abusing your kindness. I waste my
 health implementing those things, but I still try to makes patches somehow
 readable so that reviewing them will not be hell for you. I can add a
 commit for that if you don't mind. As I told you by email, "this is in the
 plan" `:-P`

 > - Why not put the cache only for `find_recursive_construction`? (less
 cached function and less function calls)

 Because this function returns both OA and !True/False answers. The
 `find_*` functions I cached only return immutable stuff.

 Nathann

--
Ticket URL: <http://trac.sagemath.org/ticket/16500#comment:10>
Sage <http://www.sagemath.org>
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