Complete classification of repeated-root \(\sigma\)-constacyclic codes of prime power length over \(\mathbb{F}_{p^m} [ u ] \slash \langle u^3 \rangle \)
type: Item
instance of: scholarly article
title: Complete classification of repeated-root \(\sigma\)-constacyclic codes of prime power length over \(\mathbb{F}_{p^m} [ u ] \slash \langle u^3 \rangle \)
zbMATH Open document ID: 1476.94049
author: Jamal Laaouine
author: Liqi Wang
author: Mohamed E. Charkani
published in: Discrete Mathematics
publication date: 2021-04-28T00:00:00Z
Mathematics Subject Classification ID: 94B15
Mathematics Subject Classification ID: 13M05
zbMATH DE Number: 7340573
zbMATH Keywords: chain rings
zbMATH Keywords: repeated-root codes
zbMATH Keywords: constacyclic codes
zbMATH Keywords: cyclic codes
zbMATH Keywords: torsion codes
zbMATH Keywords: local rings
MaRDI profile type: Publication
full work available at URL: j.disc.2021.112325
OpenAlex ID: W3136596203
cites work: Some constacyclic codes over finite chain rings
cites work: Constacyclic codes of length \(2p^{s}\) over \(\mathbb{F}_{p^m} + u \mathbb{F}_{p^m}\)
cites work: Negacyclic Codes of Length&lt;tex&gt;$2^s$&lt;/tex&gt;Over Galois Rings
cites work: On the linear ordering of some classes of negacyclic and cyclic codes and their distance distributions
cites work: Constacyclic Codes of Length $2^s$ Over Galois Extension Rings of ${\BBF}_{2}+u{\BBF}_2$
cites work: Constacyclic codes of length \(p^s\) over \(\mathbb F_{p^m} + u\mathbb F_{p^m}\)
cites work: On constacyclic codes of length \(4p^s\) over \(\mathbb{F}_{p^m} +u\mathbb{F}_{p^m}\)
cites work: Cyclic and Negacyclic Codes Over Finite Chain Rings
cites work: On a class of constacyclic codes of length 4ps over 𝔽pm + u𝔽pm
cites work: On (α + uβ)-constacyclic codes of length 4ps over 𝔽pm + u𝔽pm∗
cites work: Cyclic and negacyclic codes of length 4ps over 𝔽pm + u𝔽pm
cites work: Negacyclic codes of length \(2p^s\) over \(\mathbb{F}_{p^m} + u \mathbb{F}_{p^m}\)
cites work: On modular cyclic codes
cites work: The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
cites work: Cyclic codes over \(\text{GR}(p^2,m)\) of length \(p^k\)
cites work: Some classes of repeated-root constacyclic codes over \(\mathbb F_{p^m}+u\mathbb F_{p^m}+u^2\mathbb F_{p^m}\)
cites work: Cyclic and negacyclic codes over the Galois ring \(\text{GR}(p^2,m)\)
DOI: 10.1016/J.DISC.2021.112325
description: scientific article; zbMATH DE number 7340573