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Some Constacyclic Codes over Finite Chain Rings

Information Theory 2012-12-18 v1 math.IT

Abstract

For λ\lambda an nn-th power of a unit in a finite chain ring we prove that λ\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 α+pβ\alpha +p \beta-constacyclic codes of length psp^s over the Galois ring GR(pe,r)GR(p^e,r).

Keywords

Cite

@article{arxiv.1212.3704,
  title  = {Some Constacyclic Codes over Finite Chain Rings},
  author = {Aicha Batoul and Kenza Guenda and T. Aaron Gulliver},
  journal= {arXiv preprint arXiv:1212.3704},
  year   = {2012}
}
R2 v1 2026-06-21T22:55:02.733Z