Abstract
In this paper, we study constacyclic codes over finite principal ideal rings. An isomorphism between constacyclic codes and cyclic codes over finite principal ideal rings is given. Further, an open question is partially answered by giving necessary and sufficient conditions for the existence of non-trivial cyclic self-dual codes over finite principal ideal rings. As an example of codes over a finite principal ideal ring, we study constacyclic codes over \(R+vR\) where \(v^2=v\) and R is a finite chain ring.
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Batoul, A., Guenda, K., Gulliver, T.A., Aydin, N. (2017). Constacyclic Codes over Finite Principal Ideal Rings. In: El Hajji, S., Nitaj, A., Souidi, E. (eds) Codes, Cryptology and Information Security. C2SI 2017. Lecture Notes in Computer Science(), vol 10194. Springer, Cham. https://doi.org/10.1007/978-3-319-55589-8_11
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DOI: https://doi.org/10.1007/978-3-319-55589-8_11
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