#16231: Equivalence between OA/TD/MOLS
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Reporter: | Owner:
ncohen | Status: needs_review
Type: | Milestone: sage-6.2
enhancement | Resolution:
Priority: major | Merged in:
Component: | Reviewers:
combinatorics | Work issues:
Keywords: | Commit:
Authors: | a9dce705211f5593b926c0512a40ada05d978ff3
Nathann Cohen | Stopgaps:
Report Upstream: N/A |
Branch: |
u/ncohen/16231 |
Dependencies: |
#15310, #16227 |
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Comment (by ncohen):
Yo !
> I added some documentation, please start editing from u/vdelecroix/16231
Okay, I'll look at that right now.
> If `n` is a prime power, there is an optimal construction, i.e. a
`TD(n+1,n)` and there is no need to check for product or Wilson
construction. But right now the code in `transversal_design` does. For
prime powers there are two places where some code is implemented:
> - in orthogonal_array (you refer to theorem 6.39 and 6.40 of Stinson)
> - in mutually_orthogonal_latin_squares (you refer to section 6.4.1 of
Stinson)
> Are the outputs equivalent?
No idea. They return valid answers, but I have no idea if they are the
same. I would say "no", but really who cares ? Let's keep only one.
> Note that there is no way to test it with the current code, unless I use
the forbidden `who_asked` parameter.
Am I guilty for that ?... `:-P`
> Would it be possible to isolate the two constructions in two functions?
Why do we need two constructions for the case of `n` being a prime power?
I don't think we need two constructions of the same designs... I mean.
AFTER this patch is merged, I don't think we need two, given that they all
communicate with each other. BEFORE this patch, we actually need three
different implementations `;-)`
Nathann
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Ticket URL: <http://trac.sagemath.org/ticket/16231#comment:7>
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