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Some Constacyclic Codes over Finite Chain Rings (1212.3704v1)
Published 15 Dec 2012 in cs.IT and math.IT
Abstract: For $\lambda$ an $n$-th power of a unit in a finite chain ring we prove that $\lambda$-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 $\alpha +p \beta$-constacyclic codes of length $ps$ over the Galois ring $GR(pe,r)$.