On Tue, Jan 25, 2022 at 9:36 AM GUSTAVO TERRA BASTOS
wrote:
>
> Hey guys. Hope everyone is fine.
> I am sage beginner, I´d like to know how to describe all the codewords from
> my linear code C. Best, Gustavo.
>
>
Welcome Gustavo!
Here's an example:
sage: C = codes.HammingCode(GF(2),3); C
[7, 4] Hamming Code over GF(2)
sage: C.list()
[(0, 0, 0, 0, 0, 0, 0),
(1, 0, 0, 0, 0, 1, 1),
(0, 1, 0, 0, 1, 0, 1),
(1, 1, 0, 0, 1, 1, 0),
(0, 0, 1, 0, 1, 1, 0),
(1, 0, 1, 0, 1, 0, 1),
(0, 1, 1, 0, 0, 1, 1),
(1, 1, 1, 0, 0, 0, 0),
(0, 0, 0, 1, 1, 1, 1),
(1, 0, 0, 1, 1, 0, 0),
(0, 1, 0, 1, 0, 1, 0),
(1, 1, 0, 1, 0, 0, 1),
(0, 0, 1, 1, 0, 0, 1),
(1, 0, 1, 1, 0, 1, 0),
(0, 1, 1, 1, 1, 0, 0),
(1, 1, 1, 1, 1, 1, 1)]
More info is here
https://wiki.sagemath.org/Coding_Theory
and here
https://groups.google.com/g/sage-coding-theory
- David
>
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