On the Algebraic Structure of Quasi-cyclic Codes II: Chain Rings

@article{Ling2003OnTA,
  title={On the Algebraic Structure of Quasi-cyclic Codes II: Chain Rings},
  author={San Ling and Patrick Sol{\'e}},
  journal={Des. Codes Cryptography},
  year={2003},
  volume={30},
  pages={113-130}
}
The ring decomposition technique of part I is extended to the case when the factors in the direct product decomposition are no longer fields but arbitrary chain rings. This includes not only the case of quasi-cyclic codes over rings but also the case of quasi-cyclic codes over fields whose co-index is no longer prime to the characteristic of the field. A new quaternary construction of the Leech lattice is derived. 
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