#16277: MOLS constructions rom the Handbook of Combinatorial Designs
-------------------------------------+-------------------------------------
       Reporter:  ncohen             |        Owner:
           Type:  enhancement        |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-6.2
      Component:  combinatorics      |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Nathann Cohen      |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:  u/ncohen/16277     |       Commit:
   Dependencies:  #16248, #16231,    |  d4f445b189ad16b28a436d9fd2fe82db53ebf3b1
  #16269, #16058                     |     Stopgaps:
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Comment (by ncohen):

 Yo !

 > 1) Could we make it go after #16272? There is a moderately trivial
 rebase to do. I think it would be easier in that direction.

 Yeah, no problem I guess.

 > 2) Could we also move the `TD_6_12` into the database module?

 Yepyep, I will do that.

 > 3) In the doctests of database, I would rather call directly the
 function themselves followed by `is_transversal_design`. We have no idea
 (at least me) that the corresponding design is actually returned when we
 call `designs.orthogonal_array` with the good parameters. Nevertheless it
 is a good test to check that the latter actually return a value for those
 parameters (and to see whether or not it is the corresponding value).

 'f you want ......

 > 4) (semi-stupid remark) For the 6 construction of OA from Vmt, the
 function is rather trivial. One way to avoid duplication is to modify the
 dictionnary into `n -> (k, constructor, extra_args)`. For the Vmt the
 entries would look like
 > {{{
 > OA_constructions = {
 > ...
 > 46: (6, OA_from_Vmt, (4,9,[0, 1, 3, 2, 8])),
 > 50: (8, OA_from_Vmt, (6,7,[0, 1, 3, 16, 35, 26, 36])),
 > ...
 > }
 > }}}

 If we do that the OA will be built when Sage starts. Plus I would like to
 thank Julian R. Abel somewhere.

 Nathann

--
Ticket URL: <http://trac.sagemath.org/ticket/16277#comment:8>
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