#16846: a difference_matrices module
-------------------------------------+-------------------------------------
       Reporter:  ncohen             |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:
      Component:  combinatorial      |   Resolution:
  designs                            |    Merged in:
       Keywords:                     |    Reviewers:
        Authors:  Nathann Cohen      |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:  u/ncohen/16846     |  2649805f41094602cfbd2787f75028d806cf2d05
   Dependencies:  #16817             |     Stopgaps:
-------------------------------------+-------------------------------------

Comment (by ncohen):

 Yo !

 > I guess that difference matrices are interesting only over Abelian
 groups. Is that true?

 I have no idea about that, but all examples I saw were on abelian groups
 indeed.

 > It would be nice to coordinate with difference families for
 input/output. For example, in #16802, in the database, you can ask a
 difference family with a given group and not only a fixed cardinality. It
 is not perfect, but I tried to start involving the group...

 Hmmmmm... So a structure like that ?
 {{{
 DM_constructions = {
    order_of_the_group : {
      signature_of_the_abelian_group: [
          (k1,matrix_constructor1),
          (k2,matrix_constructor2)
          ]
      }
 }
 }}}

 Having several difference families/matrices or OA and stuff is a hobby of
 yours, you know ? To me it's just not the interesting direction `:-P`

 It can be done anyway but we have to do that later, this heap of patches
 is really getting dangerous. Plus Travis wrote a patch that is totally
 incompatible with this one, and there are like 10 tickets in linear order
 an `needs_review` at the moment `:-P`

 Nathann

--
Ticket URL: <http://trac.sagemath.org/ticket/16846#comment:5>
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