A family of group character codes
In IEEE Trans. Inform. Theory 46 (2000), 280, using characters of an elementary Abelian 2-group, a class of q-ary codes, where q is an odd prime power, is constructed. These codes share several features in common with binary Reed–Muller codes. This construction is generalized in this paper to yield...
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| Format: | Journal Article |
| Language: | English |
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2013
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| Online Access: | https://hdl.handle.net/10356/79659 http://hdl.handle.net/10220/9835 |
| _version_ | 1811680714317365248 |
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| author | Ling, San |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Ling, San |
| author_sort | Ling, San |
| collection | NTU |
| description | In IEEE Trans. Inform. Theory 46 (2000), 280, using characters of an elementary Abelian 2-group, a class of q-ary codes, where q is an odd prime power, is constructed. These codes share several features in common with binary Reed–Muller codes. This construction is generalized in this paper to yield codes with features that resemble those of generalized Reed–Muller codes. |
| first_indexed | 2024-10-01T03:29:26Z |
| format | Journal Article |
| id | ntu-10356/79659 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T03:29:26Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | ntu-10356/796592023-02-28T19:27:56Z A family of group character codes Ling, San School of Physical and Mathematical Sciences DRNTU::Engineering::Computer science and engineering::Data::Coding and information theory In IEEE Trans. Inform. Theory 46 (2000), 280, using characters of an elementary Abelian 2-group, a class of q-ary codes, where q is an odd prime power, is constructed. These codes share several features in common with binary Reed–Muller codes. This construction is generalized in this paper to yield codes with features that resemble those of generalized Reed–Muller codes. Accepted version 2013-04-18T07:53:57Z 2019-12-06T13:30:18Z 2013-04-18T07:53:57Z 2019-12-06T13:30:18Z 2004 2004 Journal Article Ling, S. (2004). A family of group character codes. European Journal of Combinatorics, 25(4), 579-590. 01956698 https://hdl.handle.net/10356/79659 http://hdl.handle.net/10220/9835 10.1016/j.ejc.2003.06.002 en European journal of combinatorics © 2003 Elsevier Ltd. This is the author created version of a work that has been peer reviewed and accepted for publication by European Journal of Combinatorics, Elsevier Ltd. 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.ejc.2003.06.002]. application/pdf |
| spellingShingle | DRNTU::Engineering::Computer science and engineering::Data::Coding and information theory Ling, San A family of group character codes |
| title | A family of group character codes |
| title_full | A family of group character codes |
| title_fullStr | A family of group character codes |
| title_full_unstemmed | A family of group character codes |
| title_short | A family of group character codes |
| title_sort | family of group character codes |
| topic | DRNTU::Engineering::Computer science and engineering::Data::Coding and information theory |
| url | https://hdl.handle.net/10356/79659 http://hdl.handle.net/10220/9835 |
| work_keys_str_mv | AT lingsan afamilyofgroupcharactercodes AT lingsan familyofgroupcharactercodes |