#16552: oval in finite projective plane
-------------------------------------+-------------------------------------
       Reporter:  vdelecroix         |        Owner:
           Type:  enhancement        |       Status:  needs_info
       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:                     |  f7989eb77ceb0f23b07568e8433d7a27b74861de
  u/vdelecroix/16552                 |     Stopgaps:
   Dependencies:  #16500             |
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Changes (by ncohen):

 * status:  needs_review => needs_info


Comment:

 > and hyperovals are here too for `GF(2^k)` ;-)

 Ahem. Vincent, I thank  you for the feature but the code really needs some
 reorganization `:-P`

 First, why wouldn't the system of coordinates be provided by
 `DesarguesianProjectivePlane` when you create one ? Clearly getting the
 "coordinates" of the points can be useful, and the only reason why it is
 not already the case is that `BlockDesign` only supports integers as a
 ground set. But you could return the dictionary along with the projective
 plane, couldn't you ?

 additional question : is the `_desarguesian_projective_plane_coordinates`
 properly defined anyway ? Or is that why it is just an internal function ?

 Similarly, the oval functions have no reason to return integers. They can
 just return the triples of coordinates.

 Besides, we can't just dump "Oval functions" like that in
 `block_designs.py`. And... Well, though you were not the worst in the
 crowd, I think I can easily gather 50+ emails that were exchanged just
 because I created a `ProjectivePlane` function which returned a
 desarguesian projective plane. How can you now create a function as well
 defined as `OvalInDesarguesianProjectivePlaneDesign` ?.. `:-P`

 Nathann

--
Ticket URL: <http://trac.sagemath.org/ticket/16552#comment:4>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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