#16866: Radical difference families
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       Reporter:  vdelecroix         |        Owner:
           Type:  enhancement        |       Status:  needs_info
       Priority:  major              |    Milestone:  sage-6.4
      Component:  combinatorial      |   Resolution:
  designs                            |    Merged in:
       Keywords:                     |    Reviewers:
        Authors:  Vincent Delecroix  |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  721af75ec2b2c6ca904f2feaf86e75e054cb089d
  u/vdelecroix/16866                 |     Stopgaps:
   Dependencies:  #16863             |
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Comment (by ncohen):

 > No. I want that all differences belong to different coset.

 Why can you make that assumption ?

 > This comes from computing what is Delta {1, r, r^2^, ..., r^k-1^} (where
 r is a k-th root of unity). If you do that you will see that it is the
 same as {+1, -1} A H^mt^. In the case of k even you want to compute Delta
 {0, 1, r, ..., r^k-2^} (where r is a (k-1)-th root of unity).

 I have absolutely no intuition of what H^mt^ represents.

 > > And so far I do not understand how your code works.
 >
 > Good point

 Do you think that the tiling problem that you solve is equivalent, by the
 previous remarks, to the non-reduced problem ? If so, that would make it
 easier for me to understand.

 Nathann

--
Ticket URL: <http://trac.sagemath.org/ticket/16866#comment:24>
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