Mathematical Problems in Engineering
cyclic codes, finite fields (algebra), ring theory, euclidean domains, hermitian forms
Algebra | Engineering | Mathematics
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.
Dinh, Hai Q.; Nguyen, Bac T.; and Sriboonchitta, Songsak (2016). Skew Constacyclic Codes over Finite Fields and Finite Chain Rings. Mathematical Problems in Engineering 2016, 1-17. doi: 10.1155/2016/3965789 Retrieved from https://digitalcommons.kent.edu/mathpubs/13
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