On the symbol-pair distances of repeated-root constacyclic codes of length 2p<sup>s</sup>
© 2019 Elsevier B.V. Let p be an odd prime, and λ be a nonzero element of the finite field Fpm. The λ-constacyclic codes of length 2ps over Fpm are classified as the ideals of quotient ring [Formula presented] in terms of their generator polynomials. Based on these generator polynomials, the symbol-...
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th-cmuir.6653943832-657052019-08-05T04:39:50Z On the symbol-pair distances of repeated-root constacyclic codes of length 2p<sup>s</sup> H. Q. Dinh Xiaoqiang Wang Hongwei Liu Songsak Sriboonchitta Mathematics © 2019 Elsevier B.V. Let p be an odd prime, and λ be a nonzero element of the finite field Fpm. The λ-constacyclic codes of length 2ps over Fpm are classified as the ideals of quotient ring [Formula presented] in terms of their generator polynomials. Based on these generator polynomials, the symbol-pair distances of all such λ-constacyclic codes of length 2ps are obtained in this paper. As an application, all MDS symbol-pair constacyclic codes of length 2ps over Fpm are established, which produce many new MDS symbol-pair codes with good parameters. 2019-08-05T04:39:50Z 2019-08-05T04:39:50Z 2019-01-01 Journal 0012365X 2-s2.0-85068236507 10.1016/j.disc.2019.06.017 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85068236507&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/65705 |
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Mathematics H. Q. Dinh Xiaoqiang Wang Hongwei Liu Songsak Sriboonchitta On the symbol-pair distances of repeated-root constacyclic codes of length 2p<sup>s</sup> |
| description |
© 2019 Elsevier B.V. Let p be an odd prime, and λ be a nonzero element of the finite field Fpm. The λ-constacyclic codes of length 2ps over Fpm are classified as the ideals of quotient ring [Formula presented] in terms of their generator polynomials. Based on these generator polynomials, the symbol-pair distances of all such λ-constacyclic codes of length 2ps are obtained in this paper. As an application, all MDS symbol-pair constacyclic codes of length 2ps over Fpm are established, which produce many new MDS symbol-pair codes with good parameters. |
| format |
Journal |
| author |
H. Q. Dinh Xiaoqiang Wang Hongwei Liu Songsak Sriboonchitta |
| author_facet |
H. Q. Dinh Xiaoqiang Wang Hongwei Liu Songsak Sriboonchitta |
| author_sort |
H. Q. Dinh |
| title |
On the symbol-pair distances of repeated-root constacyclic codes of length 2p<sup>s</sup> |
| title_short |
On the symbol-pair distances of repeated-root constacyclic codes of length 2p<sup>s</sup> |
| title_full |
On the symbol-pair distances of repeated-root constacyclic codes of length 2p<sup>s</sup> |
| title_fullStr |
On the symbol-pair distances of repeated-root constacyclic codes of length 2p<sup>s</sup> |
| title_full_unstemmed |
On the symbol-pair distances of repeated-root constacyclic codes of length 2p<sup>s</sup> |
| title_sort |
on the symbol-pair distances of repeated-root constacyclic codes of length 2p<sup>s</sup> |
| publishDate |
2019 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85068236507&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/65705 |
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