| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5771580 | Finite Fields and Their Applications | 2017 | 18 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Hai Q. Dinh, Bac T. Nguyen, Songsak Sriboonchitta,