Skew Constacyclic Codes over Finite Commutative Semi-Simple Rings
Skew Constacyclic Codes over Finite Commutative Semi-Simple Rings
Source title:
Bulletin of the Korean Mathematical Society, 56(2): 419-437,
2019
(ISI)
Academic year of acceptance:
2019-2020
Abstract:
This paper investigates skew Θ − λ-constacyclic codes over R = F0⊕F1⊕⋯⊕Fk−1, where Fi′s are finite fields. The structures of skew λ-constacyclic codes over finite commutative semi-simple rings and their duals are provided. Moreover, skew λ-constacyclic codes of arbitrary length are studied under a new definition. We also show that a skew cyclic code of arbitrary length over finite commutative semi-simple rings is equivalent to either a cyclic code over R or a quasi-cyclic code over R.