Cyclic codes over Z4 of even length
We determine the structure of cyclic codes over Z 4 for arbitrary even length giving the generator polynomial for these codes. We determine the number of cyclic codes for a given length. We describe the duals of the cyclic codes, describe the form of cyclic codes that are self-dual and give the numb...
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sg-ntu-dr.10356-964042023-02-28T19:40:20Z Cyclic codes over Z4 of even length Dougherty, Steven T. Ling, San School of Physical and Mathematical Sciences DRNTU::Engineering::Computer science and engineering::Data::Coding and information theory We determine the structure of cyclic codes over Z 4 for arbitrary even length giving the generator polynomial for these codes. We determine the number of cyclic codes for a given length. We describe the duals of the cyclic codes, describe the form of cyclic codes that are self-dual and give the number of these codes. We end by examining specific cases of cyclic codes, giving all cyclic self-dual codes of length less than or equal to 14. Accepted version 2013-04-22T08:30:51Z 2019-12-06T19:30:06Z 2013-04-22T08:30:51Z 2019-12-06T19:30:06Z 2006 2006 Journal Article Dougherty, S. T., & Ling, S. (2006). Cyclic Codes Over Z4 of Even Length. Designs, Codes and Cryptography, 39(2), 127-153. https://hdl.handle.net/10356/96404 http://hdl.handle.net/10220/9848 10.1007/s10623-005-2773-x en Designs, codes and cryptography © 2006 Springer Science+Business Media, Inc. This is the author created version of a work that has been peer reviewed and accepted for publication by Designs, Codes and Cryptography, Springer Science+Business Media, 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/10.1007/s10623-005-2773-x]. application/pdf |
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DRNTU::Engineering::Computer science and engineering::Data::Coding and information theory Dougherty, Steven T. Ling, San Cyclic codes over Z4 of even length |
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We determine the structure of cyclic codes over Z 4 for arbitrary even length giving the generator polynomial for these codes. We determine the number of cyclic codes for a given length. We describe the duals of the cyclic codes, describe the form of cyclic codes that are self-dual and give the number of these codes. We end by examining specific cases of cyclic codes, giving all cyclic self-dual codes of length less than or equal to 14. |
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School of Physical and Mathematical Sciences |
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School of Physical and Mathematical Sciences Dougherty, Steven T. Ling, San |
| format |
Article |
| author |
Dougherty, Steven T. Ling, San |
| author_sort |
Dougherty, Steven T. |
| title |
Cyclic codes over Z4 of even length |
| title_short |
Cyclic codes over Z4 of even length |
| title_full |
Cyclic codes over Z4 of even length |
| title_fullStr |
Cyclic codes over Z4 of even length |
| title_full_unstemmed |
Cyclic codes over Z4 of even length |
| title_sort |
cyclic codes over z4 of even length |
| publishDate |
2013 |
| url |
https://hdl.handle.net/10356/96404 http://hdl.handle.net/10220/9848 |
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1759855515819573248 |