#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 brett):
I do not think it is abstraction for abstraction’s sake to have an single
internal format. When this gets turned into a class of its own with
internal methods, etc. (later, not now) then it will need to have a single
internal data structure. For example incidence structures (and by
extension, designs) are stored as their sets of sets. The incidence
matrix is equivalent but it is not a separate object with its own
construction methods distinct from incidence structures. In addition to
Vincint's comments, a single internal format allows
- a single place to check all known non-existence results
- future ease in making this a class
In principal I do not mind if the constructions that you have implemented
for TDs stay as they are but are wrapped by OA->TD translation TD
construction followed by TD-OA translation. It can be left as a possible
future task to clean this up.
Some kind of path used to construct an OA/TD is a great idea that the user
can obtain. This is used by Charlie Colbourn on his Covering Array
tables, but his cannot be parsed completely to the full list of exact
objects and constructions used. I thought a lot about this for CAs in my
thesis but I never came up with and format I liked. Are there these kind
of certificates for other objects anywhere in Sage that we could look to
for ideas?
brett
--
Ticket URL: <http://trac.sagemath.org/ticket/15310#comment:36>
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