MDS and self-dual codes over rings |
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| Authors: | Kenza Guenda T. Aaron Gulliver |
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| Affiliation: | 1. Faculty of Mathematics, USTHB, University of Science and Technology of Algiers, Algeria;2. Department of Electrical and Computer Engineering, University of Victoria, PO Box 3055, STN CSC, Victoria, BC, V8W 3P6, Canada |
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| Abstract: | In this paper we give the structure of constacyclic codes over formal power series and chain rings. We also present necessary and sufficient conditions on the existence of MDS codes over principal ideal rings. These results allow for the construction of infinite families of MDS self-dual codes over finite chain rings, formal power series and principal ideal rings. We also define the Reed–Solomon codes over principal ideal rings. |
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