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

نویسندگان

  • San Ling
  • Patrick Solé
چکیده

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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عنوان ژورنال:
  • Des. Codes Cryptography

دوره 30  شماره 

صفحات  -

تاریخ انتشار 2003