Cyclic codes over GR(p2,m) of length pk

We study cyclic codes of length pk over GR(p2,m), or equivalently, ideals of the ring GR(p2,m)/ upk − 1 . We derive a method of representing the ideals, and classify all ideals in the ring GR(p2,m)/upk −1 . We also analyse the duals, and identify the self-dual ideals.

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Bibliographic Details
Main Authors: Kiah, Han Mao, Leung, Ka Hin, Ling, San
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2013
Subjects:
Online Access:https://hdl.handle.net/10356/96406
http://hdl.handle.net/10220/9854
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Institution: Nanyang Technological University
Language: English
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