#19184: HigmanSims design
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       Reporter:         |        Owner:
  ncohen                 |       Status:  needs_review
           Type:         |    Milestone:  sage-6.9
  enhancement            |   Resolution:
       Priority:  major  |    Merged in:
      Component:  graph  |    Reviewers:
  theory                 |  Work issues:
       Keywords:         |       Commit:
        Authors:         |  848a9724b6565639b2dd182f8468782150105bdf
  Nathann Cohen          |     Stopgaps:
Report Upstream:  N/A    |
         Branch:         |
  public/19184           |
   Dependencies:         |
  #19133                 |
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Comment (by dimpase):

 Replying to [comment:10 ncohen]:
 > more explicitly: I am not sure that `HigmanSimsDesign` is *always* the
 same, i.e. that its labelling does not change according to the platform.

 well, I think it's platform-independent: have a look at
 {{{
 $SAGEROOT/local/gap/latest/pkg/design/lib/blockdesign.g
 }}}
 you'll see in `WittDesign`
 {{{
    M24:=Group([
 (1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23),
       (3,17,10,7,9)(4,13,14,19,5)(8,18,11,12,23)(15,20,22,21,16),
       (1,24)(2,23)(3,12)(4,16)(5,18)(6,10)(7,20)(8,14)(9,21)(11,17)(13,22)
       (15,19) ]);
    W24:=BlockDesign(24,[[1,2,3,4,5,8,11,13]],M24);
    W24.autGroup:=M24;
    Unbind(W24.autSubgroup);
    W24.allTDesignLambdas:=Immutable(TDesignLambdas(5,24,8,1));
    W:=W24;
    for i in Reversed([n+1..24]) do
       W:=DerivedBlockDesign(W,i);
    od;
 }}}
 it hardcodes the group and a block of the "big" Witt design S(5,8,24).

--
Ticket URL: <http://trac.sagemath.org/ticket/19184#comment:11>
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