Method for the rate of a linear code.

[johanrosenkilde]

The "rate" of a linear code is k/n where k is the dimension and n the length of the code. This is fundamental number that all coding theorists use. This should be available for any linear code in Sage.

Note that it should be implemented on the class AbstractLinearCode to be available to both LinearCode and specific families of codes such as GeneralizedReedSolomonCode.

CC: @sagetrac-dlucas

Component: coding theory

Keywords: linear code, sd75

Author: David Lucas

Branch/Commit: e397cec

Reviewer: Daniel Augot

Issue created by migration from https://trac.sagemath.org/ticket/20342

[sagetrac-dlucas]

Branch: u/dlucas/rate_method_for_linear_codes

[sagetrac-dlucas]

Commit: d3f2662

[sagetrac-dlucas]

comment:2

Hello,

I implemented a generic method to compute the rate of a code.
Setting to needs-review.

David

---

New commits:

d3f2662

Implemented a method to compute the rate of a linear code

[sagetrac-dlucas]

Changed keywords from linear code to linear code, sd75

[sagetrac-dlucas]

Author: David Lucas

[sagetrac-danielaugot]

comment:4

Hi David,

the docstring "Return the ratio of information symbols to code length." should be "Return the ratio of the number of information symbols to the code length."

Daniel

[sagetrac-git]

Changed commit from d3f2662 to 2d23e2f

[sagetrac-git]

Branch pushed to git repo; I updated commit sha1. New commits:

2d23e2f

Improved grammar for the documentation of rate method

[vbraun]

comment:7

Reviewer name...

[johanrosenkilde]

Reviewer: Daniel Augot

[vbraun]

comment:9

Merge conflict

[jlavauzelle]

Changed branch from u/dlucas/rate_method_for_linear_codes to u/jlavauzelle/rate_method_for_linear_codes

[sagetrac-git]

Branch pushed to git repo; I updated commit sha1. New commits:

e397cec

Fixed the doctest.

[sagetrac-git]

Changed commit from 2d23e2f to e397cec

[jlavauzelle]

comment:12

Hi,

I fixed the merge conflict. Back to positive review.

Julien

[vbraun]

Changed branch from u/jlavauzelle/rate_method_for_linear_codes to e397cec