The polycyclic codes over the finite field $ \mathbb{F}_q $

This article extended the properties of the idempotent generator of cyclic codes to polycyclic codes over the finite field $ \mathbb{F}_q $. In addition, the check matrix of polycyclic codes was provided over $ \mathbb{F}_q $. Specifically, it has been proven that the constacyclic code is an $ {{{\r...

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Bibliographic Details
Published in:AIMS Mathematics
Main Author: Wei Qi
Format: Article
Language:English
Published: AIMS Press 2024-10-01
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20241439?viewType=HTML