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Title: Cyclic codes over GR(p2,m) of length pk
Authors: Kiah, Han Mao
Leung, Ka Hin
Ling, San
Keywords: DRNTU::Science::Mathematics::Applied mathematics
Issue Date: 2008
Source: Kiah, H. M., Leung, K. H., & Ling, S. (2008). Cyclic codes over GR(p2,m) of length pk. Finite Fields and Their Applications, 14(3), 834-846.
Series/Report no.: Finite fields and their applications
Abstract: 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.
ISSN: 10715797
DOI: 10.1016/j.ffa.2008.02.003
Rights: © 2008 Elsevier Inc. This is the author created version of a work that has been peer reviewed and accepted for publication by Finite Fields and Their Applications, Elsevier Inc. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [].
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

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