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.

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