MDS Symbol-Pair Cyclic Codes of Length 2p<sup>s</sup> over F<inf>p</inf><sup>m</sup>
© 1963-2012 IEEE. Let p be an odd prime, s and m be positive integers. Cyclic codes of length 2ps over Fpm are the ideals (x-1i(x+1)j, where 0 ≤ i, j ≤ ps, of the principal ideal ring Fpm [x]/ x2ps-1. Using this structure, the symbol-pair distances of all cyclic codes of length 2ps over Fpm are comp...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Journal |
| Published: |
2020
|
| Subjects: | |
| Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85075757089&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/68350 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Chiang Mai University |
| id |
th-cmuir.6653943832-68350 |
|---|---|
| record_format |
dspace |
| spelling |
th-cmuir.6653943832-683502020-04-02T15:30:36Z MDS Symbol-Pair Cyclic Codes of Length 2p<sup>s</sup> over F<inf>p</inf><sup>m</sup> Hai Q. DInh Bac T. Nguyen Songsak Sriboonchitta Computer Science Social Sciences © 1963-2012 IEEE. Let p be an odd prime, s and m be positive integers. Cyclic codes of length 2ps over Fpm are the ideals (x-1i(x+1)j, where 0 ≤ i, j ≤ ps, of the principal ideal ring Fpm [x]/ x2ps-1. Using this structure, the symbol-pair distances of all cyclic codes of length 2ps over Fpm are completely determined. In addition, we establish all MDS symbol-pair cyclic codes of length 2ps over Fpm. Some MDS symbol-pair cyclic codes are better than all the known ones. Among others, we discuss possible applications to construct quantum MDS symbol-pair codes. 2020-04-02T15:25:19Z 2020-04-02T15:25:19Z 2020-01-01 Journal 15579654 00189448 2-s2.0-85075757089 10.1109/TIT.2019.2941885 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85075757089&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/68350 |
| institution |
Chiang Mai University |
| building |
Chiang Mai University Library |
| country |
Thailand |
| collection |
CMU Intellectual Repository |
| topic |
Computer Science Social Sciences |
| spellingShingle |
Computer Science Social Sciences Hai Q. DInh Bac T. Nguyen Songsak Sriboonchitta MDS Symbol-Pair Cyclic Codes of Length 2p<sup>s</sup> over F<inf>p</inf><sup>m</sup> |
| description |
© 1963-2012 IEEE. Let p be an odd prime, s and m be positive integers. Cyclic codes of length 2ps over Fpm are the ideals (x-1i(x+1)j, where 0 ≤ i, j ≤ ps, of the principal ideal ring Fpm [x]/ x2ps-1. Using this structure, the symbol-pair distances of all cyclic codes of length 2ps over Fpm are completely determined. In addition, we establish all MDS symbol-pair cyclic codes of length 2ps over Fpm. Some MDS symbol-pair cyclic codes are better than all the known ones. Among others, we discuss possible applications to construct quantum MDS symbol-pair codes. |
| format |
Journal |
| author |
Hai Q. DInh Bac T. Nguyen Songsak Sriboonchitta |
| author_facet |
Hai Q. DInh Bac T. Nguyen Songsak Sriboonchitta |
| author_sort |
Hai Q. DInh |
| title |
MDS Symbol-Pair Cyclic Codes of Length 2p<sup>s</sup> over F<inf>p</inf><sup>m</sup> |
| title_short |
MDS Symbol-Pair Cyclic Codes of Length 2p<sup>s</sup> over F<inf>p</inf><sup>m</sup> |
| title_full |
MDS Symbol-Pair Cyclic Codes of Length 2p<sup>s</sup> over F<inf>p</inf><sup>m</sup> |
| title_fullStr |
MDS Symbol-Pair Cyclic Codes of Length 2p<sup>s</sup> over F<inf>p</inf><sup>m</sup> |
| title_full_unstemmed |
MDS Symbol-Pair Cyclic Codes of Length 2p<sup>s</sup> over F<inf>p</inf><sup>m</sup> |
| title_sort |
mds symbol-pair cyclic codes of length 2p<sup>s</sup> over f<inf>p</inf><sup>m</sup> |
| publishDate |
2020 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85075757089&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/68350 |
| _version_ |
1681426804164788224 |