On the structure of repeated-root polycyclic codes over local rings
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Date
2024
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Access Rights
info:eu-repo/semantics/openAccess
Abstract
This paper provides the Generalized Mattson Solomon polynomial for repeated-root polycyclic codes over local rings that gives an explicit decomposition of them in terms of idempotents. It also states some structural properties of repeated-root polycyclic codes over finite fields in terms of matrix product codes. Both approaches provide a description of the perpendicular to 0-dual code for a given polycyclic code. (c) 2023 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
Description
Keywords
Polyclyclic Code, Duality, Repeated-Root Code, Mattson-Solomon Transform, Matrix-Product Code, Matrix-Product Codes, Cyclic Codes, Algebraic Structure, Finite
Journal or Series
Discrete Mathematics
WoS Q Value
N/A
Scopus Q Value
Q1
Volume
347
Issue
1
