#16227: Product construction of Transversal Designs
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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: | a512ab154b21caaf74d6ccef2cf32bf67179eee9
Nathann Cohen | Stopgaps:
Report Upstream: N/A |
Branch: |
u/ncohen/16227 |
Dependencies: |
#15310 |
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Comment (by ncohen):
> Sometimes you want only functions with the same prototype and sometimes
you claim it is better otherwise...
1) I think that having a TD product functions that accepts TD as input and
not only parameters is useful
2) I think that at the moment Wilson's construction with TD as input is
not really useful, as it is a complex thing and nobody knows it exists
3) I think that all constructors should have the same prototype to give us
a clean `orthogonal_array` function
4) Thus creating a second function that calls the current TD and has the
same prototype as the others makes sense to me.
> All right. What I meant is that it makes sense to try Wilson and product
in the same function that builds OA. But on the other hands, calling
divisors is relatively cheap on the kind of entries you will have. In a
near future (and according to the TODO) the Wilson construction might be
much more involved... will see.
Calling divisors is 100% free compared to the kind of constructions we
deal with. We create fields, products, long lists, temporary matrices of
thousands of entries. Calling divisors *is* free.
> There was doctest error that I solved on u/vdelecroix/16227. I also
added curiosity doctests (the current maximum k that Sage knows from n
between 10 and 20).
>
> See the changes in u/vdelecroix/16227, if you are happy with them this
is good to go.
I will look at this immediately.
Nathann
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Ticket URL: <http://trac.sagemath.org/ticket/16227#comment:9>
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