Negacyclic codes of length \(4 p^s\) over \(\mathbb{F}_{p^m} + u \mathbb{F}_{p^m}\) and their duals
type: Item
instance of: scholarly article
title: Negacyclic codes of length \(4 p^s\) over \(\mathbb{F}_{p^m} + u \mathbb{F}_{p^m}\) and their duals
zbMATH Open document ID: 1415.94485
author: Bac T. Nguyen
author: Songsak Sriboonchitta
author: Hai Quang Dinh
published in: Discrete Mathematics
publication date: 2018-02-23T00:00:00Z
Mathematics Subject Classification ID: 94B15
Mathematics Subject Classification ID: 11T71
zbMATH DE Number: 6842965
zbMATH Keywords: negacyclic codes
zbMATH Keywords: cyclic codes
zbMATH Keywords: dual codes
zbMATH Keywords: repeated-root codes
zbMATH Keywords: chain rings
zbMATH Keywords: local rings
MaRDI profile type: Publication
full work available at URL: j.disc.2017.12.019
OpenAlex ID: W2792440227
cites work: On the generators of Z/sub 4/ cyclic codes of length 2/sup e/
cites work: Q5694991
cites work: Type II codes over \(\mathbb F_2+ u\mathbb F_2\) and applications to Hermitian modular forms
cites work: Q4060863
cites work: Q5532872
cites work: Cyclic codes over \(\mathbb{Z}_{4}\) of oddly even length.
cites work: Negacyclic codes over Z/sub 4/ of even length
cites work: Cyclic codes and self-dual codes over F/sub 2/+uF/sub 2/
cites work: On repeated-root cyclic codes
cites work: Negacyclic Codes of Length&lt;tex&gt;$2^s$&lt;/tex&gt;Over Galois Rings
cites work: Constacyclic codes of length \(p^s\) over \(\mathbb F_{p^m} + u\mathbb F_{p^m}\)
cites work: Repeated-root constacyclic codes of length
cites work: Structure of repeated-root constacyclic codes of length \(3p^s\) and their duals
cites work: Q5168097
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: Negacyclic codes of length \(2p^s\) over \(\mathbb{F}_{p^m} + u \mathbb{F}_{p^m}\)
cites work: Q3942888
cites work: The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
cites work: Fundamentals of Error-Correcting Codes
cites work: Polynomial weights and code constructions
cites work: Weight distributions of cyclic self-dual codes
cites work: On cyclic MDS codes of length q over GF(q) (Corresp.)
cites work: Repeated-root cyclic and negacyclic codes over a finite chain ring
cites work: Repeated-root cyclic codes
cites work: Negacyclic and cyclic codes over Z/sub 4/
DOI: 10.1016/J.DISC.2017.12.019
description: scientific article; zbMATH DE number 6842965