Existence conditions for self-orthogonal negacyclic codes over finite fields
In this paper, we obtain necessary and sufficient conditions for the nonexistence of nonzero self-orthogonal negacyclic codes over a finite field, of length relatively prime to the characteristic of the underlying field.
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sg-ntu-dr.10356-1074612023-02-28T19:47:51Z Existence conditions for self-orthogonal negacyclic codes over finite fields Lin, Liren Liu, Hongwei Chen, Bocong School of Physical and Mathematical Sciences DRNTU::Science::Mathematics In this paper, we obtain necessary and sufficient conditions for the nonexistence of nonzero self-orthogonal negacyclic codes over a finite field, of length relatively prime to the characteristic of the underlying field. Accepted version 2015-05-11T04:20:07Z 2019-12-06T22:31:39Z 2015-05-11T04:20:07Z 2019-12-06T22:31:39Z 2015 2015 Journal Article Lin, L., Liu, H., & Chen, B. (2015). Existence conditions for self-orthogonal negacyclic codes over finite fields. Advances in mathematics of communications, 9(1), 1-7. 1930-5346 https://hdl.handle.net/10356/107461 http://hdl.handle.net/10220/25491 10.3934/amc.2015.9.1 185848 en Advances in mathematics of communications © 2015 American Institute of Mathematical Sciences (AIMS). This is the author created version of a work that has been peer reviewed and accepted for publication by Advances in Mathematics of Communications, American Institute of Mathematical Sciences (AIMS). 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/10.3934/amc.2015.9.1]. 9 p. application/pdf |
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DRNTU::Science::Mathematics Lin, Liren Liu, Hongwei Chen, Bocong Existence conditions for self-orthogonal negacyclic codes over finite fields |
| description |
In this paper, we obtain necessary and sufficient conditions for the nonexistence of nonzero self-orthogonal negacyclic codes over a finite field, of length relatively prime to the characteristic of the underlying field. |
| author2 |
School of Physical and Mathematical Sciences |
| author_facet |
School of Physical and Mathematical Sciences Lin, Liren Liu, Hongwei Chen, Bocong |
| format |
Article |
| author |
Lin, Liren Liu, Hongwei Chen, Bocong |
| author_sort |
Lin, Liren |
| title |
Existence conditions for self-orthogonal negacyclic codes over finite fields |
| title_short |
Existence conditions for self-orthogonal negacyclic codes over finite fields |
| title_full |
Existence conditions for self-orthogonal negacyclic codes over finite fields |
| title_fullStr |
Existence conditions for self-orthogonal negacyclic codes over finite fields |
| title_full_unstemmed |
Existence conditions for self-orthogonal negacyclic codes over finite fields |
| title_sort |
existence conditions for self-orthogonal negacyclic codes over finite fields |
| publishDate |
2015 |
| url |
https://hdl.handle.net/10356/107461 http://hdl.handle.net/10220/25491 |
| _version_ |
1759857089651408896 |