Salagean, Ana Repeated-root cyclic and negacyclic codes over a finite chain ring 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. Repeated-root cyclic codes;Finite chain ring;Principal ideal ring;Computation Theory and Mathematics;Information and Computing Sciences not elsewhere classified 2006-08-21
    https://repository.lboro.ac.uk/articles/journal_contribution/Repeated-root_cyclic_and_negacyclic_codes_over_a_finite_chain_ring/9402986