Symbol-triple distance of repeated-root constacyclic codes of prime power lengths
© 2020 World Scientific Publishing Company. Let p be an odd prime, s and m be positive integers and λ be a nonzero element of pm. The λ-constacyclic codes of length ps over pm are linearly ordered under set theoretic inclusion as ideals of the chain ring pm[x]/(xps - λ). Using this structure, the sy...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Journal |
| Published: |
2020
|
| Subjects: | |
| Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85074929597&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/67923 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Chiang Mai University |
| id |
th-cmuir.6653943832-67923 |
|---|---|
| record_format |
dspace |
| spelling |
th-cmuir.6653943832-679232020-04-02T15:11:42Z Symbol-triple distance of repeated-root constacyclic codes of prime power lengths Hai Q. Dinh Sampurna Satpati Abhay Kumar Singh Woraphon Yamaka Mathematics © 2020 World Scientific Publishing Company. Let p be an odd prime, s and m be positive integers and λ be a nonzero element of pm. The λ-constacyclic codes of length ps over pm are linearly ordered under set theoretic inclusion as ideals of the chain ring pm[x]/(xps - λ). Using this structure, the symbol-triple distances of all such λ-constacyclic codes are established in this paper. All maximum distance separable symbol-triple constacyclic codes of length ps are also determined as an application. 2020-04-02T15:11:42Z 2020-04-02T15:11:42Z 2019-01-01 Journal 02194988 2-s2.0-85074929597 10.1142/S0219498820502096 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85074929597&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/67923 |
| institution |
Chiang Mai University |
| building |
Chiang Mai University Library |
| country |
Thailand |
| collection |
CMU Intellectual Repository |
| topic |
Mathematics |
| spellingShingle |
Mathematics Hai Q. Dinh Sampurna Satpati Abhay Kumar Singh Woraphon Yamaka Symbol-triple distance of repeated-root constacyclic codes of prime power lengths |
| description |
© 2020 World Scientific Publishing Company. Let p be an odd prime, s and m be positive integers and λ be a nonzero element of pm. The λ-constacyclic codes of length ps over pm are linearly ordered under set theoretic inclusion as ideals of the chain ring pm[x]/(xps - λ). Using this structure, the symbol-triple distances of all such λ-constacyclic codes are established in this paper. All maximum distance separable symbol-triple constacyclic codes of length ps are also determined as an application. |
| format |
Journal |
| author |
Hai Q. Dinh Sampurna Satpati Abhay Kumar Singh Woraphon Yamaka |
| author_facet |
Hai Q. Dinh Sampurna Satpati Abhay Kumar Singh Woraphon Yamaka |
| author_sort |
Hai Q. Dinh |
| title |
Symbol-triple distance of repeated-root constacyclic codes of prime power lengths |
| title_short |
Symbol-triple distance of repeated-root constacyclic codes of prime power lengths |
| title_full |
Symbol-triple distance of repeated-root constacyclic codes of prime power lengths |
| title_fullStr |
Symbol-triple distance of repeated-root constacyclic codes of prime power lengths |
| title_full_unstemmed |
Symbol-triple distance of repeated-root constacyclic codes of prime power lengths |
| title_sort |
symbol-triple distance of repeated-root constacyclic codes of prime power lengths |
| publishDate |
2020 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85074929597&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/67923 |
| _version_ |
1681426724951162880 |