Publication Title

Mathematical Problems in Engineering

Publication Date

1-2016

Document Type

Article

DOI

10.1155/2016/3965789

Keywords

cyclic codes, finite fields (algebra), ring theory, euclidean domains, hermitian forms

Disciplines

Algebra | Engineering | Mathematics

Abstract

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 andskew 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.

Creative Commons License

Creative Commons Attribution 4.0 License
This work is licensed under a Creative Commons Attribution 4.0 License.

Publisher

Hindawi

Publisher Location

London, England


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