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

• Main Authors: Kiah, Han Mao, Leung, Ka Hin, Ling, San
• 其他作者: School of Physical and Mathematical Sciences
• 格式: Article
• 語言: English
• 出版: 2013
• 主題: DRNTU::Science::Mathematics::Applied mathematics
• 在線閱讀: https://hdl.handle.net/10356/96406; http://hdl.handle.net/10220/9854

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.