Talk:Cyclic code

Latest comment: 14 years ago by Zxl.gzhu in topic Irreducible code

Not cryptography

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This article is not cryptoraphy related, it is about coding schemes for robust telecommunications.


I have a degree in Management Information Systems. I am trying to learn what a cyclic code is. This article has left an emotional impression, but I have not learned what I came here seeking. I am leaving to go elsewhere on the Internet to learn what a cyclic code is.

james.carnell@yahoo.com

Irreducible code

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In the section "Algebraic structure", Wikipeida said:

An irreducible code is a cyclic code in which the code, as an ideal, is minimal in R, so that its generator is an irreducible polynomial.

But irreducible polynomial generate maximal ideal.

From J.H.van Lint's book "Introduction to Coding Theory" page 83, (6.1.6):

The cyclic code generated by   is called a maximal cyclic code(since it is a maximal ideal) and denote by  . The code generated by   is called a minimal cyclic code and denoted by  . Minimal cyclic codes are also called irreducible cyclic codes.

--Zxl.gzhu (talk) 09:33, 10 April 2010 (UTC)Reply