#16347: Wilson's constructions of OA with 2 truncated groups
-------------------------------------+-------------------------------------
       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:  public/16347       |  1d1a476fe12b2cca3e7249b092582e2a16005380
   Dependencies:  #16373             |     Stopgaps:
-------------------------------------+-------------------------------------
Changes (by ncohen):

 * status:  needs_info => needs_review
 * commit:  f5069f0dd30bd698489fa047b6fdabd7b8cdaf03 =>
     1d1a476fe12b2cca3e7249b092582e2a16005380
 * branch:  u/ncohen/16347 => public/16347


Comment:

 Yo !

 > I did several things at `public/16347`. But I still need to understand
 more the Wilson construction.

 I took a picture of a drawing I made, hoping that it helps.

 http://www.steinertriples.fr/ncohen/tmp/photo1.jpg

 > The only construction that does not belong to `orthogonal_array` is the
 product construction (which can be seen as a particular case of wilson
 construction). What do you think if we move it to `orthogonal_array` and
 remove the `who_asked` stuff? It would be much more readable.

 I agree, I agree. I intended to do this at some point, but.. Well... When
 the current patches will be reviewed, etc etc ...

 Actually, tickets #16500 and #16503 create a file named
 `orthogonal_arrays_recursive.py` which contain many pairs
 construction/find_parameters. I intended to move the "find decompositions"
 that we already have in other files there (e.g. the one implemented here,
 and the `find_product_decomposition`), and indeed to rewrite this last TD
 construction for TD.

 It will be done. For everty patch that you review I will write another one
 that does one of these things `:-P`

 Nathann
 ----
 New commits:
 
||[http://git.sagemath.org/sage.git/commit/?id=03c1f4515b266f11e905136d6bda9a9de126b322
 03c1f45]||{{{trac #16430: Small speedup for OA(None,p^c)}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=8e8a9f3226e5ee5815e40156bd71286998476ff0
 8e8a9f3]||{{{trac #16430: Merged with 6.3.beta4}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=162b83c0772a9c2a02eb3cea71028e8d14a6c0a7
 162b83c]||{{{trac #16430: Many bugfixes}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=3e01acb6cc2f189d606f6877264f7d635a9a2036
 3e01acb]||{{{trac #16430: micro improvements}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=81b9448a730769e28af52c3ea36faa5b8156232a
 81b9448]||{{{trac #16430: put back the seealso}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=d3f9702840c197937865d728f596549606c811ea
 d3f9702]||{{{trac #16347: merge #16430}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=8bcbe6f8ccf62f502a96fc8442ef2c0bd87467c5
 8bcbe6f]||{{{trac #16437: fix MOLS table doctest}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=49169d5da071b718c8e9340abf29af34f730ab5c
 49169d5]||{{{trac #16437: use is_sum_of_two_squares and fix error msg}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=1d1a476fe12b2cca3e7249b092582e2a16005380
 1d1a476]||{{{trac #16347: optimize find_wilson_decomposition}}}||

--
Ticket URL: <http://trac.sagemath.org/ticket/16347#comment:26>
Sage <http://www.sagemath.org>
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