#17662: Evenly distributed sets
-------------------------------------+-------------------------------------
       Reporter:  vdelecroix         |        Owner:
           Type:  enhancement        |       Status:  needs_info
       Priority:  major              |    Milestone:  sage-6.5
      Component:  combinatorial      |   Resolution:
  designs                            |    Merged in:
       Keywords:                     |    Reviewers:
        Authors:  Vincent Delecroix  |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:  public/17662       |  87eea8dce29ccb3e8eda0d35e982ac4352aa5179
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------

Comment (by vdelecroix):

 Thanks for the commit.

 Replying to [comment:15 ncohen]:
 > I also have a couple of questions:
 >
 > Could you explain somewhere why being an EDS is preserved by
 relabelling?

 Yes, easy: $(ax+b) - (ax'+b) = a(x-x')$. So the cosets of the differences
 `x-x'` are just permuted by the multiplication by `a`. Because the
 condition is "hit each of them twice", it is invariant under permutation.

 Will write it.

 > Also, why an 'if' there?
 > {{{
 > if BB > B:
 >    relabs.add(tuple(BB))
 > }}}

 Right, can be safely removed. Will do.

 - I have a commit with much cleaner/better branch cut, am I free to add it
 now?
 - I can get rid of `sage.ratio` by reorganizing `self.list_K`  into `[x^i
 for i in range(self.q-1)]`. That way the ratio would just be
 `(x-y)%(q-1)`. Do you think it would be better?

 Vincent

--
Ticket URL: <http://trac.sagemath.org/ticket/17662#comment:17>
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