Skew Constacyclic Codes over Finite Fields and Finite Chain Rings

This paper overviews the study of skew Θ-λ-constacyclic codes over finite fields and finite commutative chain rings. The structure of skew Θ-λ-constacyclic codes and their duals are provided. Among other results, we also consider the Euclidean and Hermitian dual codes of skew Θ-cyclic and skew Θ-neg...

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Bibliographic Details
Published inMathematical problems in engineering Vol. 2016; no. 2016; pp. 1 - 17
Main Authors Dinh, Hai Q., Sriboonchitta, Songsak, Nguyen, Bac T.
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Publishing Corporation 01.01.2016
John Wiley & Sons, Inc
Subjects
Algorithms
BCH codes
Binary system
Chains
Codes
Coding theory
Decoding
Error correction & detection
Fields (mathematics)
Low density parity check codes
Mathematical analysis
Rings (mathematics)
Online AccessGet full text
ISSN1024-123X
1026-7077
1563-5147
1563-5147
DOI10.1155/2016/3965789

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Summary:This paper overviews the study of skew Θ-λ-constacyclic codes over finite fields and finite commutative chain rings. The structure of skew Θ-λ-constacyclic codes and their duals are provided. Among other results, we also consider the Euclidean and Hermitian dual codes of skew Θ-cyclic and skew Θ-negacyclic codes over finite chain rings in general and over Fpm+uFpm in particular. Moreover, general decoding procedure for decoding skew BCH codes with designed distance and an algorithm for decoding skew BCH codes are discussed.
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ISSN:1024-123X
1026-7077
1563-5147
1563-5147
DOI:10.1155/2016/3965789