110 research outputs found
MDS and Self-dual Codes over Rings
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
Some Constacyclic Codes over Finite Chain Rings
For an -th power of a unit in a finite chain ring we prove that
-constacyclic repeated-root codes over some finite chain rings are
equivalent to cyclic codes. This allows us to simplify the structure of some
constacylic codes. We also study the -constacyclic codes of
length over the Galois ring
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