#6452: Codes over rings
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Reporter: wdj | Owner: rlm
Type: | Status: needs_work
enhancement | Milestone: sage-6.9
Priority: major | Resolution:
Component: | Merged in:
coding theory | Reviewers:
Keywords: | Work issues:
Authors: | Commit:
Report Upstream: N/A | 1177056cb4942b0ce938a30537357bcb07f1bf19
Branch: | Stopgaps:
public/6452 |
Dependencies: |
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Comment (by vdelecroix):
All right, I will try to do something. I had a more careful look at the
code (and the corresponding master thesis) but I was not able to
understand anything. With the Smith form it will also be straightforward
to implement a (possibly very efficient) iterator over the elements of the
module.
One non trivial point is to decide equality of sub-modules. The only
canonical part of the Smith form is the diagonal matrix (which only gives
you a hint about isomorphisms between submodules). But I guess that we can
somehow echelonize the part corresponding to a given ideal. I would be
much more happy with a clean reference...
Since this is more about submodules of `(ZZ/nZZ)^r` I am not sure it
should go at all inside `sage.codings`. I would rather put it in
`sage.modules`. And (as I already told you), it would be better to
factorize more between `sage.modules` and `sage.codings` when the code is
'''only''' given by a generator matrix. So, for the sake of this ticket,
my concrete proposal is:
- implement submodules of `(ZZ/nZZ)^r` with a canonical form
- have an efficient iterator
If you think it is not too far from the original purpose of this ticket, I
will modify the ticket description accordingly.
--
Ticket URL: <http://trac.sagemath.org/ticket/6452#comment:22>
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