Hulls of cyclic and negacyclic codes over finite fields
We study the hulls of cyclic and negacyclic codes of length n over a finite field Fq with respect to the Euclidean and Hermitian inner products. Based on the characterization of their generator polynomials, the dimensions of the hulls of cyclic and negacyclic codes of length n over Fq are determined...
| Հիմնական հեղինակներ: | , , , |
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| Այլ հեղինակներ: | |
| Ձևաչափ: | Journal Article |
| Լեզու: | English |
| Հրապարակվել է: |
2015
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| Առցանց հասանելիություն: | https://hdl.handle.net/10356/107296 http://hdl.handle.net/10220/25441 |
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| author | Sangwisut, Ekkasit Jitman, Somphong Ling, San Udomkavanich, Patanee |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Sangwisut, Ekkasit Jitman, Somphong Ling, San Udomkavanich, Patanee |
| author_sort | Sangwisut, Ekkasit |
| collection | NTU |
| description | We study the hulls of cyclic and negacyclic codes of length n over a finite field Fq with respect to the Euclidean and Hermitian inner products. Based on the characterization of their generator polynomials, the dimensions of the hulls of cyclic and negacyclic codes of length n over Fq are determined. The enumerations of cyclic codes and negacyclic codes of length n over Fq having hulls of a given dimension are established as well. As special cases, known results concerning complementary dual and self-dual cyclic codes can be viewed as corollaries of the results in this paper. |
| first_indexed | 2024-10-01T06:37:34Z |
| format | Journal Article |
| id | ntu-10356/107296 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T06:37:34Z |
| publishDate | 2015 |
| record_format | dspace |
| spelling | ntu-10356/1072962023-02-28T19:43:12Z Hulls of cyclic and negacyclic codes over finite fields Sangwisut, Ekkasit Jitman, Somphong Ling, San Udomkavanich, Patanee School of Physical and Mathematical Sciences DRNTU::Science::Mathematics::Discrete mathematics::Algorithms We study the hulls of cyclic and negacyclic codes of length n over a finite field Fq with respect to the Euclidean and Hermitian inner products. Based on the characterization of their generator polynomials, the dimensions of the hulls of cyclic and negacyclic codes of length n over Fq are determined. The enumerations of cyclic codes and negacyclic codes of length n over Fq having hulls of a given dimension are established as well. As special cases, known results concerning complementary dual and self-dual cyclic codes can be viewed as corollaries of the results in this paper. Accepted version 2015-04-22T04:44:45Z 2019-12-06T22:28:21Z 2015-04-22T04:44:45Z 2019-12-06T22:28:21Z 2014 2014 Journal Article Sangwisut, E., Jitman, S., Ling, S., & Udomkavanich, P. (2015). Hulls of cyclic and negacyclic codes over finite fields. Finite fields and their applications, 33, 232-257. 1071-5797 https://hdl.handle.net/10356/107296 http://hdl.handle.net/10220/25441 10.1016/j.ffa.2014.12.008 en Finite fields and their applications © 2014 Elsevier Inc. This is the author created version of a work that has been peer reviewed and accepted for publication by Finite Fields and Their Applications, Elsevier 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: [Article DOI: http://dx.doi.org/10.1016/j.ffa.2014.12.008]. 29 p. application/pdf |
| spellingShingle | DRNTU::Science::Mathematics::Discrete mathematics::Algorithms Sangwisut, Ekkasit Jitman, Somphong Ling, San Udomkavanich, Patanee Hulls of cyclic and negacyclic codes over finite fields |
| title | Hulls of cyclic and negacyclic codes over finite fields |
| title_full | Hulls of cyclic and negacyclic codes over finite fields |
| title_fullStr | Hulls of cyclic and negacyclic codes over finite fields |
| title_full_unstemmed | Hulls of cyclic and negacyclic codes over finite fields |
| title_short | Hulls of cyclic and negacyclic codes over finite fields |
| title_sort | hulls of cyclic and negacyclic codes over finite fields |
| topic | DRNTU::Science::Mathematics::Discrete mathematics::Algorithms |
| url | https://hdl.handle.net/10356/107296 http://hdl.handle.net/10220/25441 |
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