#16597: Singer difference set and fix OA_9_135
-------------------------------------+-------------------------------------
       Reporter:  vdelecroix         |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.3
      Component:  combinatorial      |   Resolution:
  designs                            |    Merged in:
       Keywords:                     |    Reviewers:
        Authors:  Vincent Delecroix  |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  f725726fa68094215f1d4e19fac2378c0c29d3e8
  u/vdelecroix/16597                 |     Stopgaps:
   Dependencies:                     |
-------------------------------------+-------------------------------------

Comment (by ncohen):

 Hello again !

 Sorry but it still is a bit hard for me to read those explanations and I
 go slowly, it isn't really my world `^^;`

 - In the doc of `are_projective_space_parameters` you give the equations
 that `v,k,lmbda` must satisfy, but could you say it "with words" before
 that ? Something like "such that the projective geometry of parameters
 xx,xx,xx is a xx,xx,xx design ?"

 - I had begun to write a commit linking this function with
 `ProjectiveGeometryDesign` but I did not know enough to finish the review
 `^^;`

 {{{
 #!diff
 diff --git a/src/sage/combinat/designs/block_design.py
 b/src/sage/combinat/designs/block_design.py
 --- a/src/sage/combinat/designs/block_design.py
 +++ b/src/sage/combinat/designs/block_design.py
 @@ -117,6 +117,10 @@ def ProjectiveGeometryDesign(n, d, F,
 algorithm=None):
        GAP's "design" package must be available in this case, and that it
 can be
        installed with the ``gap_packages`` spkg.

 +    .. SEEALSO::
 +
 +
 :func:`sage.combinat.designs.difference_family.are_projective_space_parameters`
 +
      EXAMPLES:

      The points of the following design are the `\\frac {2^{2+1}-1}
 {2-1}=7`
 diff --git a/src/sage/combinat/designs/difference_family.py
 b/src/sage/combinat/designs/difference_family.py
 --- a/src/sage/combinat/designs/difference_family.py
 +++ b/src/sage/combinat/designs/difference_family.py
 @@ -184,6 +184,10 @@ def are_projective_space_parameters(v, k, lmbda,
 return_parameters=False):
      - a boolean or, if ``return_parameters`` is set to ``True`` a pair
        ``(True, (q,d))`` or ``(False, (None,None))``.

 +    .. SEEALSO::
 +
 +
 :func:`sage.combinat.designs.block_design.ProjectiveGeometryDesign`
 +
      EXAMPLES::

          sage: from sage.combinat.designs.difference_family import
 are_projective_space_parameters
 }}}

 - I do not understand the code yet, but don't you want to use the
 'conway=True` trick in `singer_difference_set` ?

 Nathann

--
Ticket URL: <http://trac.sagemath.org/ticket/16597#comment:15>
Sage <http://www.sagemath.org>
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