#16211: Implement Hadamard 3-Designs
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Reporter: knsam | Owner:
Type: enhancement | Status: new
Priority: minor | Milestone: sage-6.2
Component: combinatorics | Keywords:
Merged in: | Authors:
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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At the moment in sage-6.2.beta7, in designs.HadamardDesign, we have
implemented the Hadamard 2-design with paramters 2-(4n-1, 2n-1, n-1) one
gets from a Hadamard matrix of order 4n.
But, of course, this design extends uniquely to a (necessarily) 2-(4n, 2n,
n-1) design: the blocks of this design are blocks of the old design union
a new point infinity and complements (in the old point set) of the blocks
of old design. And, any contraction is isomorphic to a Hadamard 2-design
we started off with. So, unsurprisingly, this family is called Hadamard
3-designs.
We could very easily implement these too.
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Ticket URL: <http://trac.sagemath.org/ticket/16211>
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