Constacyclic codes over finite commutative semi-simple rings
Constacyclic codes over finite commutative semi-simple rings
Source title:
Finite Fields and Their Applications, 45: 1-18,
2017
(ISI)
Academic year of acceptance:
2016-2017
Abstract:
Finite commutative semi-simple rings are direct sum of finite fields. In this study, we investigate the algebraic structure of λ-constacyclic codes over such finite semi-simple rings. Among others, necessary and sufficient conditions for the existence of self-dual, LCD, and Hermitian dual-containing λ-constacyclic codes over finite semi-simple rings are provided. Using the CSS and Hermitian constructions, quantum MDS codes over finite semi-simple rings are constructed.