#16281: redesign projective plane
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Reporter: vdelecroix | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.2
Component: combinatorics | Keywords: design, projective plane
Merged in: | Authors: Vincent Delecroix
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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Projective planes are currently implemented as block designs but are
'''very''' slow to construct (see timings in #16272). Moreover the
specifications and the behaviour are contradictory.
In this ticket
- we create several function that aim to build a specific projective
planes (Desarguesian, Hall, Hugues)
- we replace the function `ProjectivePlaneDesign` with `projective_plane`
that return '''a''' projective plane if there is an available
construction, or raise a `EmptySetError` if no construction is possible or
raise a `NotImplementedError` if no construction is currently available.
We also implement two translation functions `projective_plane_to_OA` and
`OA_to_projective_plane` that make the translation between orthogonal
arrays (with parameters `k=n+1` and `t=2`) and projective planes.
This is an intermediate step for #16272
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Ticket URL: <http://trac.sagemath.org/ticket/16281>
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