#19422: A new structure for Punctured Codes
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Reporter: dlucas | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.10
Component: coding theory | Keywords:
Merged in: | Authors:
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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This ticket proposes a new implementation for punctured codes.
It contains:
- a new code class, `PuncturedCode`
- a dedicated encoder to compute the generator matrix of a Punctured Code.
This new structure presents the following advantages:
- it keeps track of the code it comes from. If one punctures a code A, the
punctured code he gets will remember it comes from A.
- This allows to perform several operations, like encoding or picking a
random element without constructing the generator matrix for the punctured
code, thus saving time and memory.
- Later on, it will also allow to decode words using a decoder over the
original code of the punctured code.
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Ticket URL: <http://trac.sagemath.org/ticket/19422>
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