Cyclic Codes

GUSTAVO TERRA BASTOS

unread,

Jul 11, 2023, 4:10:34 AM7/11/23

to sage-support

Hi !

I have been facing problems to describe cyclic codes over finite extension fields. It is easy to do with GF(p), but I can´t explicit codes over GF(p^m) (noticing all the mathematical background). Anyone could provide me an example?

Best,

David Joyner

unread,

Jul 11, 2023, 4:13:49 AM7/11/23

to sage-s...@googlegroups.com

On Tue, Jul 11, 2023 at 4:10 AM GUSTAVO TERRA BASTOS <gtba...@ufsj.edu.br> wrote:

Hi !

I have been facing problems to describe cyclic codes over finite extension fields. It is easy to do with GF(p), but I can´t explicit codes over GF(p^m) (noticing all the mathematical background). Anyone could provide me an example?

I'm not sure what you mean by "describe" but the tutorial might help:

https://doc.sagemath.org/html/en/thematic_tutorials/coding_theory.html

Best,

--
You received this message because you are subscribed to the Google Groups "sage-support" group.
To unsubscribe from this group and stop receiving emails from it, send an email to sage-support...@googlegroups.com.
To view this discussion on the web visit https://groups.google.com/d/msgid/sage-support/56deffc7-4ce2-4b41-bc68-61d9f1a13240n%40googlegroups.com.

GUSTAVO TERRA BASTOS

unread,

Jul 11, 2023, 1:46:17 PM7/11/23

to sage-support

Firstly I define the finite extension field and the generator polynomial. Then, when I try to define/describe the cyclic code using " Cc = codes.CyclicCode(generator_pol = g, length =n)" I got the following message: 'sage.rings.finite_rings.element_givaro.FiniteField_givaroElement' object has no attribute 'degree'.

Best

David Joyner

unread,

Jul 11, 2023, 1:59:17 PM7/11/23

to sage-s...@googlegroups.com

On Tue, Jul 11, 2023 at 1:46 PM GUSTAVO TERRA BASTOS <gtba...@ufsj.edu.br> wrote:

Firstly I define the finite extension field and the generator polynomial. Then, when I try to define/describe the cyclic code using " Cc = codes.CyclicCode(generator_pol = g, length =n)" I got the following message: 'sage.rings.finite_rings.element_givaro.FiniteField_givaroElement' object has no attribute 'degree'.

There are examples of how to use the syntax here:

https://doc.sagemath.org/html/en/reference/coding/sage/coding/cyclic_code.html

Best

Em terça-feira, 11 de julho de 2023 às 05:13:49 UTC-3, David Joyner escreveu:
On Tue, Jul 11, 2023 at 4:10 AM GUSTAVO TERRA BASTOS <gtba...@ufsj.edu.br> wrote:
Hi !

I have been facing problems to describe cyclic codes over finite extension fields. It is easy to do with GF(p), but I can´t explicit codes over GF(p^m) (noticing all the mathematical background). Anyone could provide me an example?

I'm not sure what you mean by "describe" but the tutorial might help:
https://doc.sagemath.org/html/en/thematic_tutorials/coding_theory.html

Best,

--
You received this message because you are subscribed to the Google Groups "sage-support" group.
To unsubscribe from this group and stop receiving emails from it, send an email to sage-support...@googlegroups.com.
To view this discussion on the web visit https://groups.google.com/d/msgid/sage-support/56deffc7-4ce2-4b41-bc68-61d9f1a13240n%40googlegroups.com.

--
You received this message because you are subscribed to the Google Groups "sage-support" group.
To unsubscribe from this group and stop receiving emails from it, send an email to sage-support...@googlegroups.com.

To view this discussion on the web visit https://groups.google.com/d/msgid/sage-support/def4b40d-0b33-469e-a143-6193c3f16c29n%40googlegroups.com.

Reply all

Reply to author

Forward