A family of constacyclic codes over a class of non-chain rings \({\mathcal{A}}_{q,r}\) and new quantum codes
type: Item
instance of: scholarly article
title: A family of constacyclic codes over a class of non-chain rings \({\mathcal{A}}_{q,r}\) and new quantum codes
zbMATH Open document ID: 1501.94105
author: Habibul Islam
author: Shikha Patel
author: Om Prakash
author: Patrick Solé
published in: Journal of Applied Mathematics and Computing
publication date: 2022-10-06T00:00:00Z
review text: In the paper under review, the authors first studied \(\Lambda\)-constacyclic codes and then extended to skew \(\Lambda\)-constacyclic codes of length \(n\) over some class of finite commutative non-chain rings \(\mathcal{A}_{q,r}\). As a consequence, many quantum codes were determined via these codes by using Hermitian construction. Finally, a comparaison between the obtained codes and the best-known codes available in the literature is discussed.
reviewed by: Sami Omar
Mathematics Subject Classification ID: 94B15
Mathematics Subject Classification ID: 94B05
Mathematics Subject Classification ID: 94B35
Mathematics Subject Classification ID: 94B60
zbMATH DE Number: 7597364
zbMATH Keywords: non-chain ring
zbMATH Keywords: constacyclic code
zbMATH Keywords: skew constacyclic code
zbMATH Keywords: Gray map
zbMATH Keywords: Hermitian construction
zbMATH Keywords: quantum code
MaRDI profile type: Publication
full work available at URL: s12190-021-01623-9
OpenAlex ID: W3194706587
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DOI: 10.1007/S12190-021-01623-9
description: scientific article; zbMATH DE number 7597364