#16272: redesign transversal designs
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Reporter: vdelecroix | Owner: Vincent
Type: enhancement | Delecroix
Priority: major | Status: new
Component: PLEASE CHANGE | Milestone: sage-6.2
Keywords: designs, orthogona arrays | Resolution:
Authors: Vincent Delecroix | Merged in:
Report Upstream: N/A | Reviewers:
Branch: | Work issues:
Dependencies: | Commit:
| Stopgaps:
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Description changed by vdelecroix:
Old description:
> The tickets #15310 and #16227 introduce a nice `availability` keywords
> that answer to the question "Does Sage knows how to build a TD(k,n)"?
> Using `Unknown` from `sage.misc.unknown` we can turn the question into
> "Do we now mathematically how to build a TD(k,n)?" whose answer would be:
> - `True` if Sage knows how to do it
> - `Unknwon` if neither Sage nor mathematics can help
> - `False` if we know mathematically that such construction does not
> exist
>
> As the semantic changes, we will also turn the keyword `availability`
> into `existence` (or maybe have both).
New description:
The tickets #15310 and #16227 introduce a nice `availability` keywords to
the function `transversal_design`. With `availability=True` the return
value is the answer to the question "Does Sage know how to build a
TD(k,n)"? Using `Unknown` from `sage.misc.unknown` we can turn the
question into "Do we know mathematically that a TD(k,n) exist?" whose
answer would be:
- `True` if Sage knows how to do it
- `Unknwon` if neither Sage nor mathematics can help
- `False` if we know mathematically that such construction does not exist
As the semantic changes, we will also turn the keyword `availability` into
`existence` (or maybe have both).
In the same ticket, we will include some of the known non existence of
transversal designs.
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Ticket URL: <http://trac.sagemath.org/ticket/16272#comment:1>
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