#20039: Subfield subcodes
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Reporter: dlucas | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-7.1
Component: coding theory | Resolution:
Keywords: | Merged in:
Authors: David Lucas | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/dlucas/subfield_subcode | 6e1531d103dd2da2a3e0b77ade32b017a7d366bf
Dependencies: | Stopgaps:
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Changes (by {'newvalue': u'David Lucas', 'oldvalue': ''}):
* author: => David Lucas
Comment:
This is still a WIP I push here as there's some work done which might be
of any interest.
In my branch, one will find:
- a class dedicated to field embeddings which, considering `Fp` a finite
field (`p` prime), `Fq` (`q=p^s`) and `Fq^m`, gives a representation of
elements of `Fq^m` as vectors of `Fp` over a basis of `Fq`.
- an implementation of subfield subcodes
== Known issues ==
- Some names are quite bad and need to be reconsidered
- Subfield subcode's parity check matrix computation has not been
thoroughly tested
- A decoder for subfield subcodes is not yet implemented
- Some interesting methods could be implemented (e.g. dual code of a
subfield subcode)
--
Ticket URL: <http://trac.sagemath.org/ticket/20039#comment:3>
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