#6452: Submodules of (ZZ/nZZ)^r
-------------------------+-------------------------------------------------
Reporter: wdj | Owner: rlm
Type: | Status: needs_review
enhancement | Milestone: sage-6.9
Priority: major | Resolution:
Component: | Merged in:
linear algebra | Reviewers:
Keywords: | Work issues:
Authors: | Commit:
Vincent Delecroix | 708863f5754603bbed1abe786e7f718ce1e1c782
Report Upstream: N/A | Stopgaps:
Branch: |
u/vdelecroix/6452 |
Dependencies: |
-------------------------+-------------------------------------------------
Changes (by {'newvalue': u'Vincent Delecroix', 'oldvalue': ''}):
* status: needs_work => needs_review
* author: => Vincent Delecroix
* component: coding theory => linear algebra
* branch: public/6452 => u/vdelecroix/6452
* commit: 1177056cb4942b0ce938a30537357bcb07f1bf19 =>
708863f5754603bbed1abe786e7f718ce1e1c782
Old description:
> This module constructs codes over the finite rings `ZZ/mZZ`, that is,
> submodules of `FreeModule(IntegerModRing(m), n)`.
>
> The main authors are Cesar Agustin Garcia-Vazquez (who was an undergrad
> in Mexico when he wrote this) and Carlos A. Lopez-Andrade (his advisor).
>
> ----
>
> Comments from the original ticket description by by David Joyner:
>
> I made some changes to make it more consistent with `LinearCode`. (It
> still has some hidden differences - the basic problem being that
> `FreeModule` has no submodule or span method analogous that of
> `VectorSpace`.)
>
> It is in Cython, which I confess I don't really understand well. My role
> is simply to take Cesar's code (which he emailed to me), tweek it a bit,
> and create a patch. He has explicitly agreed to distributing it under
> GPLv2+.
New description:
This ticket add some support to submodules of `(ZZ/mZZ)^r` (e.g.
containment, iteration). There is no new algorithm, we just use the code
available for submodules of `ZZ^r` and the Schmidt normal form of integer
matrix.
--
Comment:
New commits:
||[http://git.sagemath.org/sage.git/commit/?id=708863f5754603bbed1abe786e7f718ce1e1c782
708863f]||{{{Trac 6452: free module over ZZ/nZZ and submodules}}}||
--
Ticket URL: <http://trac.sagemath.org/ticket/6452#comment:25>
Sage <http://www.sagemath.org>
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