| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4583021 | Finite Fields and Their Applications | 2012 | 15 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
