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# Repeated-root cyclic and negacyclic codes over a finite chain ring

@article{Salagean2006RepeatedrootCA, title={Repeated-root cyclic and negacyclic codes over a finite chain ring}, author={Ana Salagean}, journal={Discrete Applied Mathematics}, year={2006}, volume={154}, pages={413-419} }

- Published 2006 in Discrete Applied Mathematics
DOI:10.1016/j.dam.2005.03.016

We show that repeated-root cyclic codes over a finite chain ring are in general not principally generated. Repeated-root negacyclic codes are principally generated if the ring is a Galois ring with characteristic a power of 2. For any other finite chain ring they are in general not principally generated. We also prove results on the structure, cardinality and Hamming distance of repeated-root cyclic and negacyclic codes over a finite chain ring.Â