1. Open Access Kent State
  2. Skew Constacyclic Codes over Finite Fields and Finite Chain Rings
Author(s)
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.
Format
Article
Identifier(s)
10.1155/2016/3965789
Publication Date
2016-01-01
Publication Title
Hindawi
Volume
2016
Last Page
17
Keywords
Subject
License
Creative Commons Attribution 4.0
Community
Department of Mathematical Sciences
Permalink https://oaks.kent.edu/mathpubs/13
Dinh, H., Nguyen, B., & Sriboonchitta, S. (2016). Skew Constacyclic Codes over Finite Fields and Finite Chain Rings. Hindawi. https://doi.org/10.1155/2016/3965789
Dinh, Hai, Bac Nguyen, and Songsak Sriboonchitta. 2016. “Skew Constacyclic Codes over Finite Fields and Finite Chain Rings”. Hindawi. https://doi.org/10.1155/2016/3965789.
Dinh, H., B. Nguyen, and S. Sriboonchitta. Skew Constacyclic Codes over Finite Fields and Finite Chain Rings. Hindawi, 1 Jan. 2016, doi:10.1155/2016/3965789.