1-generator quasi-cyclic codes over finite chain rings
type: Item
instance of: scholarly article
title: 1-generator quasi-cyclic codes over finite chain rings
zbMATH Open document ID: 1326.94136
published in: Applicable Algebra in Engineering, Communication and Computing
publication date: 2013-02-21T00:00:00Z
Mathematics Subject Classification ID: 94B15
Mathematics Subject Classification ID: 11T71
Mathematics Subject Classification ID: 13M05
zbMATH DE Number: 6138198
zbMATH Keywords: quasi-cyclic code
zbMATH Keywords: finite chain ring
zbMATH Keywords: parity check polynomial in standard form
zbMATH Keywords: Gröbner basis
zbMATH Keywords: direct sum decomposition
author: Yonglin Cao
MaRDI profile type: Publication
full work available at URL: s00200-012-0182-8
OpenAlex ID: W1976515744
cites work: Generalized quasi-cyclic codes over Galois rings: structural properties and enumeration
cites work: Quaternary 1-generator quasi-cyclic codes
cites work: On the groups of units of finite commutative chain rings.
cites work: On the structure of linear and cyclic codes over a finite chain ring
cites work: On the Hamming distance of linear codes over a finite chain ring
cites work: Strong Gröbner bases for polynomials over a principal ideal ring.
cites work: Cyclic codes and minimal strong Gröbner bases over a principal ideal ring.
cites work: Gröbner Bases, Coding, and Cryptography
cites work: A Class of 1-Generator Quasi-Cyclic Codes
cites work: Q4939390
DOI: 10.1007/S00200-012-0182-8
description: scientific article; zbMATH DE number 6138198