Constacyclic codes over finite commutative semi-simple rings |
| |
| Institution: | 1. Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Viet Nam;2. Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Viet Nam;3. Department of Mathematical Sciences, Kent State University, 4314 Mahoning Avenue, Warren, OH 44483, USA;4. Department of Mathematics, Faculty of Science, Mahidol University, Bangkok 10400, Thailand;5. Department of Basic Sciences, University of Economics and Business Administration, Thai Nguyen University, Thai Nguyen Province, Viet Nam;6. Faculty of Economics, Chiang Mai University, Chiang Mai 52000, Thailand |
| |
| 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. |
| |
| Keywords: | Constacyclic codes Dual codes Semi-simple rings Quantum codes MDS codes |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
