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Constacyclic codes over finite commutative semi-simple rings

Authors: 

Hai Q. Dinh, Bac T. Nguyen, Songsak Sriboonchitta

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.