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.
| Main Authors: | , , |
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| Format: | Journal Article |
| Language: | English |
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2013
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| Online Access: | https://hdl.handle.net/10356/96406 http://hdl.handle.net/10220/9854 |
| _version_ | 1824455894482550784 |
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| author | Kiah, Han Mao Leung, Ka Hin Ling, San |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Kiah, Han Mao Leung, Ka Hin Ling, San |
| author_sort | Kiah, Han Mao |
| collection | NTU |
| 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. |
| first_indexed | 2025-02-19T03:45:27Z |
| format | Journal Article |
| id | ntu-10356/96406 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2025-02-19T03:45:27Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | ntu-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 |
| spellingShingle | DRNTU::Science::Mathematics::Applied mathematics Kiah, Han Mao Leung, Ka Hin Ling, San Cyclic codes over GR(p2,m) of length pk |
| title | 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_short | Cyclic codes over GR(p2,m) of length pk |
| title_sort | cyclic codes over gr p2 m of length pk |
| topic | DRNTU::Science::Mathematics::Applied mathematics |
| url | https://hdl.handle.net/10356/96406 http://hdl.handle.net/10220/9854 |
| work_keys_str_mv | AT kiahhanmao cycliccodesovergrp2moflengthpk AT leungkahin cycliccodesovergrp2moflengthpk AT lingsan cycliccodesovergrp2moflengthpk |