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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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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spelling sg-ntu-dr.10356-964062023-02-28T19:40:22Z Cyclic codes over GR(p2,m) of length pk Kiah, Han Mao Leung, Ka Hin Ling, San School of Physical and Mathematical Sciences DRNTU::Science::Mathematics::Applied mathematics 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. Accepted version 2013-04-23T07:25:55Z 2019-12-06T19:30:09Z 2013-04-23T07:25:55Z 2019-12-06T19:30:09Z 2008 2008 Journal Article 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. 10715797 https://hdl.handle.net/10356/96406 http://hdl.handle.net/10220/9854 10.1016/j.ffa.2008.02.003 en Finite fields and their applications © 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: [http://dx.doi.org/10.1016/j.ffa.2008.02.003]. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic DRNTU::Science::Mathematics::Applied mathematics
spellingShingle DRNTU::Science::Mathematics::Applied mathematics
Kiah, Han Mao
Leung, Ka Hin
Ling, San
Cyclic codes over GR(p2,m) of length pk
description 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.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Kiah, Han Mao
Leung, Ka Hin
Ling, San
format Article
author Kiah, Han Mao
Leung, Ka Hin
Ling, San
author_sort Kiah, Han Mao
title Cyclic codes over GR(p2,m) of length pk
title_short Cyclic codes over GR(p2,m) of length pk
title_full Cyclic codes over GR(p2,m) of length pk
title_fullStr Cyclic codes over GR(p2,m) of length pk
title_full_unstemmed Cyclic codes over GR(p2,m) of length pk
title_sort cyclic codes over gr(p2,m) of length pk
publishDate 2013
url https://hdl.handle.net/10356/96406
http://hdl.handle.net/10220/9854
_version_ 1759858169904889856