#17941: Automatic guess of the groups in a GDD
-------------------------------------+-------------------------------------
       Reporter:  brett              |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.6
      Component:  combinatorial      |   Resolution:
  designs                            |    Merged in:
       Keywords:  group divisible    |    Reviewers:  Vincent Delecroix
  design, block design               |  Work issues:
        Authors:  Nathann Cohen      |       Commit:
Report Upstream:  N/A                |  884a359e7b5cf4d65000bbf67d9fa4aaf63c7bdb
         Branch:  public/17941       |     Stopgaps:
   Dependencies:                     |
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Changes (by ncohen):

 * status:  needs_info => needs_review


Comment:

 Hello,

 > Shouldn't
 > {{{
 > if matrix[i*n+j] == 0:
 >     ...
 > }}}
 > be
 > {{{
 > if matrix[i*n+j] < l:
 >    ...
 > }}}

 Both work. Consider the whole matrix: for the design to be a GDD, it must
 have two types of entries only: `0` or `l`.

 1) If the matrix is a real GDD, you can see that the two are equivalent
 2) If the matrix is not a GDD, the 'error' message will differ. (wrong
 size of groups, or a pair not present the right number of times, or two
 points of a group contained in the same set, ...)

 > This suggest to add an example with `lambd > 1`.

 Do you have an example in mind?

 Nathann

--
Ticket URL: <http://trac.sagemath.org/ticket/17941#comment:6>
Sage <http://www.sagemath.org>
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