On self-dual cyclic codes of length pa over GR(p2,s)
In this paper, cyclic codes over the Galois ring GR(p2,s) are studied. The main result is the characterization and enumeration of Hermitian self-dual cyclic codes of length pa over GR(p2,s). Combining with some known results and the standard Discrete Fourier Transform decomposition, we arrive at the...
Saved in:
| Main Authors: | , , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
2017
|
| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/83776 http://hdl.handle.net/10220/42798 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Nanyang Technological University |
| Language: | English |
| id |
sg-ntu-dr.10356-83776 |
|---|---|
| record_format |
dspace |
| spelling |
sg-ntu-dr.10356-837762023-02-28T19:37:13Z On self-dual cyclic codes of length pa over GR(p2,s) Jitman, Somphong Ling, San Sangwisut, Ekkasit School of Physical and Mathematical Sciences Self-dual Codes Cyclic Codes In this paper, cyclic codes over the Galois ring GR(p2,s) are studied. The main result is the characterization and enumeration of Hermitian self-dual cyclic codes of length pa over GR(p2,s). Combining with some known results and the standard Discrete Fourier Transform decomposition, we arrive at the characterization and enumeration of Euclidean self-dual cyclic codes of any length over GR(p2,s). Accepted version 2017-07-04T07:31:52Z 2019-12-06T15:31:49Z 2017-07-04T07:31:52Z 2019-12-06T15:31:49Z 2016 Journal Article Jitman, S., Ling, S., & Sangwisut, E. (2016). On self-dual cyclic codes of length pa over GR(p2,s). Advances in Mathematics of Communications, 10(2), 255-273. 1930-5346 https://hdl.handle.net/10356/83776 http://hdl.handle.net/10220/42798 10.3934/amc.2016004 en Advances in Mathematics of Communications © 2016 American Institute of Mathematical Sciences (AIMS) and Shandong University (SDU). 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) and Shandong University (SDU). 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.2016004]. 20 p. application/pdf |
| institution |
Nanyang Technological University |
| building |
NTU Library |
| continent |
Asia |
| country |
Singapore Singapore |
| content_provider |
NTU Library |
| collection |
DR-NTU |
| language |
English |
| topic |
Self-dual Codes Cyclic Codes |
| spellingShingle |
Self-dual Codes Cyclic Codes Jitman, Somphong Ling, San Sangwisut, Ekkasit On self-dual cyclic codes of length pa over GR(p2,s) |
| description |
In this paper, cyclic codes over the Galois ring GR(p2,s) are studied. The main result is the characterization and enumeration of Hermitian self-dual cyclic codes of length pa over GR(p2,s). Combining with some known results and the standard Discrete Fourier Transform decomposition, we arrive at the characterization and enumeration of Euclidean self-dual cyclic codes of any length over GR(p2,s). |
| author2 |
School of Physical and Mathematical Sciences |
| author_facet |
School of Physical and Mathematical Sciences Jitman, Somphong Ling, San Sangwisut, Ekkasit |
| format |
Article |
| author |
Jitman, Somphong Ling, San Sangwisut, Ekkasit |
| author_sort |
Jitman, Somphong |
| title |
On self-dual cyclic codes of length pa over GR(p2,s) |
| title_short |
On self-dual cyclic codes of length pa over GR(p2,s) |
| title_full |
On self-dual cyclic codes of length pa over GR(p2,s) |
| title_fullStr |
On self-dual cyclic codes of length pa over GR(p2,s) |
| title_full_unstemmed |
On self-dual cyclic codes of length pa over GR(p2,s) |
| title_sort |
on self-dual cyclic codes of length pa over gr(p2,s) |
| publishDate |
2017 |
| url |
https://hdl.handle.net/10356/83776 http://hdl.handle.net/10220/42798 |
| _version_ |
1759856077549076480 |