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Title: Constacyclic codes over finite commutative semi-simple rings
Authors: Hai Q. Dinh
Bac T. Nguyen
Songsak Sriboonchitta
Keywords: Engineering
Issue Date: 1-May-2017
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.
ISSN: 10902465
Appears in Collections:CMUL: Journal Articles

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