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|Title:||Constacyclic codes over finite commutative semi-simple rings|
|Authors:||Hai Q. Dinh|
Bac T. Nguyen
|Abstract:||© 2016 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.|
|Appears in Collections:||CMUL: Journal Articles|
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