A class of linear codes with good parameters from algebraic curves
A class of linear codes with good parameters is constructed in this correspondence. It turns out that linear codes of this class are subcodes of the subfield subcodes of Goppa's geometry codes. In particular, we find 61 improvements on Brouwer's table based on our codes.
| Main Authors: | , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2012
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| Online Access: | https://hdl.handle.net/10356/79954 http://hdl.handle.net/10220/8820 |
| _version_ | 1826116965848055808 |
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| author | Xing, Chaoping Ling, San |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Xing, Chaoping Ling, San |
| author_sort | Xing, Chaoping |
| collection | NTU |
| description | A class of linear codes with good parameters is constructed in this correspondence. It turns out that linear codes of this class are subcodes of the subfield subcodes of Goppa's geometry codes. In particular, we find 61 improvements on Brouwer's table based on our codes. |
| first_indexed | 2024-10-01T04:20:03Z |
| format | Journal Article |
| id | ntu-10356/79954 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T04:20:03Z |
| publishDate | 2012 |
| record_format | dspace |
| spelling | ntu-10356/799542023-02-28T19:22:16Z A class of linear codes with good parameters from algebraic curves Xing, Chaoping Ling, San School of Physical and Mathematical Sciences DRNTU::Science::Mathematics::Geometry A class of linear codes with good parameters is constructed in this correspondence. It turns out that linear codes of this class are subcodes of the subfield subcodes of Goppa's geometry codes. In particular, we find 61 improvements on Brouwer's table based on our codes. Accepted version 2012-10-29T08:22:54Z 2019-12-06T13:37:30Z 2012-10-29T08:22:54Z 2019-12-06T13:37:30Z 2000 2000 Journal Article Xing, C., & Ling, S. (2000). A class of linear codes with good parameters from algebraic curves. IEEE Transactions on Information Theory, 46(4), 1527-1532. 00189448 https://hdl.handle.net/10356/79954 http://hdl.handle.net/10220/8820 10.1109/18.850687 en IEEE transactions on information theory © 2000 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. The published version is available at: http://dx.doi.org/10.1109/18.850687. application/pdf |
| spellingShingle | DRNTU::Science::Mathematics::Geometry Xing, Chaoping Ling, San A class of linear codes with good parameters from algebraic curves |
| title | A class of linear codes with good parameters from algebraic curves |
| title_full | A class of linear codes with good parameters from algebraic curves |
| title_fullStr | A class of linear codes with good parameters from algebraic curves |
| title_full_unstemmed | A class of linear codes with good parameters from algebraic curves |
| title_short | A class of linear codes with good parameters from algebraic curves |
| title_sort | class of linear codes with good parameters from algebraic curves |
| topic | DRNTU::Science::Mathematics::Geometry |
| url | https://hdl.handle.net/10356/79954 http://hdl.handle.net/10220/8820 |
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