Skew constacyclic codes over finite fields and finite chain rings
type: Item
instance of: scholarly article
title: Skew constacyclic codes over finite fields and finite chain rings
zbMATH Open document ID: 1400.94192
DOI: 10.1155/2016/3965789
author: Bac T. Nguyen
author: Songsak Sriboonchitta
author: Hai Quang Dinh
published in: Mathematical Problems in Engineering
publication date: 2018-10-12T00:00:00Z
review text: Summary: This paper overviews the study of skew \(\Theta\)-\(\lambda\)-constacyclic codes over finite fields and finite commutative chain rings. The structure of skew \(\Theta\)-\(\lambda\)-constacyclic codes and their duals are provided. Among other results, we also consider the Euclidean and Hermitian dual codes of skew \(\Theta\)-cyclic and skew \(\Theta\)-negacyclic codes over finite chain rings in general and over \(\mathbb{F}_{p^m} + u \mathbb{F}_{p^m}\) in particular. Moreover, general decoding procedure for decoding skew BCH codes with designed distance and an algorithm for decoding skew BCH codes are discussed.
Mathematics Subject Classification ID: 94B15
zbMATH DE Number: 6953139
Wikidata QID: Q59131219
describes a project that uses: Magma
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/3965789
OpenAlex ID: W2224413256
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description: scientific article; zbMATH DE number 6953139