Some Constacyclic Codes over Finite Chain Rings

For $λ$ an $n$-th power of a unit in a finite chain ring we prove that $λ$-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 $α+p β$-constacyclic codes of length $p^s$ over the Galois ring $GR(p^e,r)$.

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