Duadic codes over F2 + uF2
Duadic codes over F2+uF2 are introduced as abelian codes by their zeros. This is the function field analogue of duadic codes over Z4 introduced recently by Langevin and Solé. They produce binary self-dual codes via a suitable Gray map. Their binary images are themselves abelian, thus generalizing a...
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sg-ntu-dr.10356-958822023-02-28T19:39:51Z Duadic codes over F2 + uF2 Ling, San Sole, Patrick School of Physical and Mathematical Sciences DRNTU::Engineering::Computer science and engineering::Data::Coding and information theory Duadic codes over F2+uF2 are introduced as abelian codes by their zeros. This is the function field analogue of duadic codes over Z4 introduced recently by Langevin and Solé. They produce binary self-dual codes via a suitable Gray map. Their binary images are themselves abelian, thus generalizing a result of van Lint for cyclic binary codes of even length. We classify them in modest lengths and exhibit interesting non-cyclic examples. Accepted version 2013-04-18T04:06:52Z 2019-12-06T19:22:47Z 2013-04-18T04:06:52Z 2019-12-06T19:22:47Z 2001 2001 Journal Article Ling, S. & Solé, P. (2001). Duadic Codes over F2 + uF2. Applicable Algebra in Engineering, Communication and Computing, 12(5), 365-379. 0938-1279 https://hdl.handle.net/10356/95882 http://hdl.handle.net/10220/9825 10.1007/s002000100079 en Applicable algebra in engineering, communication and computing © 2001 Springer-Verlag. This is the author created version of a work that has been peer reviewed and accepted for publication by Applicable Algebra in Engineering, Communication and Computing, Springer-Verlag. 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: [DOI: http://dx.doi.org/10.1007/s002000100079]. application/pdf |
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DRNTU::Engineering::Computer science and engineering::Data::Coding and information theory Ling, San Sole, Patrick Duadic codes over F2 + uF2 |
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Duadic codes over F2+uF2 are introduced as abelian codes by their zeros. This is the function field analogue of duadic codes over Z4 introduced recently by Langevin and Solé. They produce binary self-dual codes via a suitable Gray map. Their binary images are themselves abelian, thus generalizing
a result of van Lint for cyclic binary codes of even length. We classify them in modest lengths and exhibit interesting non-cyclic examples. |
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School of Physical and Mathematical Sciences |
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School of Physical and Mathematical Sciences Ling, San Sole, Patrick |
| format |
Article |
| author |
Ling, San Sole, Patrick |
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Ling, San |
| title |
Duadic codes over F2 + uF2 |
| title_short |
Duadic codes over F2 + uF2 |
| title_full |
Duadic codes over F2 + uF2 |
| title_fullStr |
Duadic codes over F2 + uF2 |
| title_full_unstemmed |
Duadic codes over F2 + uF2 |
| title_sort |
duadic codes over f2 + uf2 |
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2013 |
| url |
https://hdl.handle.net/10356/95882 http://hdl.handle.net/10220/9825 |
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