#15310: Wilson's construction of Transversal Designs/Orthogonal Arrays/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: | d74341411288315f13da3d4383e515b884ba7440
Nathann Cohen | Stopgaps:
Report Upstream: N/A |
Branch: |
u/ncohen/15310 |
Dependencies: |
#15287, #15431 |
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Comment (by ncohen):
Yo !
> 1) with just parameters (like Wilson is now) , in which case the program
checks if the relevant TD/OAs exist and uses them
This is already done, as Sage will automatically use the product
construction to see if such a design exists. When you call
`designs.orthogonal_array(...)` the TD product construction will be called
from time to time.
> 2) with the relevant TD/OAs passed to the routine (as Product is now),
in which case the program checks that they are correct and have the needed
parameters and uses them if they are.
Yepyep, we can make the designs be optional parameters indeed ...
Really I don't mind but I am writing construction code and there is a lot
of work to do. If you want features like that, would you mind implementing
them ? It is not a lot of work, you just have to add optional parameters
in Wilson's construction equal to None, and if they are set to None Sage
will find the designs itself otherwise it will use those that are
provided.
> Python and thus Sage, is good at this kind of flexibility in function
calling and in design theory we often want to use specific "ingredients"
with property $P$, in a construction and hope/prove that the resulting
object had property $P$ as well.
Indeed indeed. But it is not like anybody will know that Sage can produce
MOLS/OA/TD already, so we have time before the crowd complains about the
missing features.. Right now I am just trying to implement what I need to
create more TD/OA/MOLS, and we will have all the time in the world to
create fancy features when it will be in `:-P`
I am two constructions away from having implemented all explicit
construction of length <= 80 that the Handbook provides, but they are
tricky ones. Then this step will be done too, and we will have to
implement the variants of Wilson's theorem.
Nathann
Vincent : is there anything I should do on this ticket ?
--
Ticket URL: <http://trac.sagemath.org/ticket/15310#comment:45>
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