Constructing quasi-cyclic codes from linear algebra theory
type: Item
instance of: scholarly article
title: Constructing quasi-cyclic codes from linear algebra theory
zbMATH Open document ID: 1259.94066
author: Jian Gao
author: Yonglin Cao
published in: Designs, Codes and Cryptography
publication date: 2013-02-05T00:00:00Z
Mathematics Subject Classification ID: 94B05
Mathematics Subject Classification ID: 11T71
Mathematics Subject Classification ID: 16S50
Mathematics Subject Classification ID: 94B15
zbMATH DE Number: 6134584
zbMATH Keywords: quasi-cyclic code
zbMATH Keywords: polynomial ring over matrix ring
zbMATH Keywords: reversible polynomial
zbMATH Keywords: invariant subspace
zbMATH Keywords: cyclic code
zbMATH Keywords: finite chain ring
MaRDI profile type: Publication
full work available at URL: s10623-011-9586-x
OpenAlex ID: W1994507438
cites work: Cyclic codes over the rings \(\mathbb Z_2 + u\mathbb Z_2\) and \(\mathbb Z_2 + u\mathbb Z_2 + u^2 \mathbb Z_2\)
cites work: Cyclic codes and self-dual codes over F/sub 2/+uF/sub 2/
cites work: Structural properties and enumeration of 1-generator generalized quasi-cyclic codes
cites work: Quasi-cyclic codes as codes over rings of matrices
cites work: Some results on quasi-cyclic codes
cites work: Structural properties and enumeration of quasi cyclic codes
cites work: Cyclic and Negacyclic Codes Over Finite Chain Rings
cites work: Decoding of circulant codes (Corresp.)
cites work: A Gilbert-Varshamov bound for quasi-cycle codes of rate 1/2 (Corresp.)
cites work: Quasicyclic Codes of Index ℓ over F q Viewed as F q[x]-Submodules of F q ℓ[x]/〈x m−1〉
cites work: Algebraic structure of quasicyclic codes
cites work: On the algebraic structure of quasi-cyclic codes .I. Finite fields
cites work: On the algebraic structure of quasi-cyclic codes. II: Chain rings
cites work: On the Algebraic Structure of Quasi-Cyclic Codes III: Generator Theory
cites work: Q4146667
cites work: The multiple-recursive matrix method for pseudorandom number generation
cites work: On the structure of linear and cyclic codes over a finite chain ring
cites work: Repeated-root cyclic and negacyclic codes over a finite chain ring
cites work: A Connection Between Block and Convolutional Codes
cites work: Q4435447
DOI: 10.1007/S10623-011-9586-X
description: scientific article; zbMATH DE number 6134584