#19184: HigmanSims design
-------------------------+-------------------------------------------------
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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