Skew constacyclic codes over finite fields and finite chain rings (Q1793100)

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.