%0 Journal Article %A Salagean, Ana %D 2006 %T Repeated-root cyclic and negacyclic codes over a finite chain ring %U https://repository.lboro.ac.uk/articles/journal_contribution/Repeated-root_cyclic_and_negacyclic_codes_over_a_finite_chain_ring/9402986 %2 https://repository.lboro.ac.uk/ndownloader/files/17019566 %K Repeated-root cyclic codes %K Finite chain ring %K Principal ideal ring %K Computation Theory and Mathematics %K Information and Computing Sciences not elsewhere classified %X 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. %I Loughborough University