On the algebraic structure of quasi-cyclic codes II : chain rings

On the algebraic structure of quasi-cyclic codes II : chain rings

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...

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Bibliographic Details
Main Authors: Ling, San, Sole, Patrick
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2013
Subjects:
DRNTU::Engineering::Computer science and engineering::Computing methodologies::Symbolic and algebraic manipulation
Online Access:https://hdl.handle.net/10356/96415
http://hdl.handle.net/10220/9833
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Institution: Nanyang Technological University
Language: English
Description
Summary: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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