#16655: Resolvable TD/OA
-----------------------------------------+----------------------------
       Reporter:  ncohen                 |        Owner:
           Type:  enhancement            |       Status:  needs_review
       Priority:  major                  |    Milestone:  sage-6.3
      Component:  combinatorial designs  |   Resolution:
       Keywords:                         |    Merged in:
        Authors:  Nathann Cohen          |    Reviewers:
Report Upstream:  N/A                    |  Work issues:
         Branch:                         |       Commit:
   Dependencies:  #16598                 |     Stopgaps:
-----------------------------------------+----------------------------
Changes (by ncohen):

 * status:  new => needs_review


Old description:

> A resolvable `OA(k,n)` is a `OA(k,n+1)`. This is just user interface,
> nothing smart.
>
> Nathann

New description:

 A resolvable `OA(k,n)` is a `OA(k,n+1)`, and the same holds for TD of
 course. This patch adds a "resolvable" boolean to the two constructors to
 get resolvable designs.

 For OA, the classes are provided by sorting the blocks appropriately.

 For TD, which are now `IncidenceStructure`, the same is not possible as
 incidence structure sort their blocks. Thuuuuuus I was forced to create a
 (useful) `is_resolvable` function (expect it to be slow on non-
 ridiculously-small input) which returns the classes.

 This is what turned this a priori straightforward patch into ... my whole
 morning `:-P`

 Nathann

 Nathann

--

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Ticket URL: <http://trac.sagemath.org/ticket/16655#comment:1>
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