On the b-distance of repeated-root constacyclic codes of prime power lengths
© 2019 Elsevier B.V. Let p be a prime, s, m be positive integers, λ be a nonzero element of the finite field Fpm. The b-distance generalizes the Hamming distance (b=1), and the symbol-pair distance (b=2). While the Hamming and symbol-pair distances of all λ-constacyclic codes of length ps are comple...
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th-cmuir.6653943832-684522020-04-02T15:27:38Z On the b-distance of repeated-root constacyclic codes of prime power lengths Hai Q. Dinh Xiaoqiang Wang Hongwei Liu Songsak Sriboonchitta Mathematics © 2019 Elsevier B.V. Let p be a prime, s, m be positive integers, λ be a nonzero element of the finite field Fpm. The b-distance generalizes the Hamming distance (b=1), and the symbol-pair distance (b=2). While the Hamming and symbol-pair distances of all λ-constacyclic codes of length ps are completely determined, the general b-distance of such codes was left opened. In this paper, we provide a new technique to establish the b-distance of all λ-constacyclic codes of length ps, where 1≤b≤⌊ [Formula presented] ⌋. As an application, all MDS b-symbol constacyclic codes of length ps over Fpm are obtained. 2020-04-02T15:27:38Z 2020-04-02T15:27:38Z 2020-04-01 Journal 0012365X 2-s2.0-85076711891 10.1016/j.disc.2019.111780 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85076711891&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/68452 |
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Mathematics Hai Q. Dinh Xiaoqiang Wang Hongwei Liu Songsak Sriboonchitta On the b-distance of repeated-root constacyclic codes of prime power lengths |
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© 2019 Elsevier B.V. Let p be a prime, s, m be positive integers, λ be a nonzero element of the finite field Fpm. The b-distance generalizes the Hamming distance (b=1), and the symbol-pair distance (b=2). While the Hamming and symbol-pair distances of all λ-constacyclic codes of length ps are completely determined, the general b-distance of such codes was left opened. In this paper, we provide a new technique to establish the b-distance of all λ-constacyclic codes of length ps, where 1≤b≤⌊ [Formula presented] ⌋. As an application, all MDS b-symbol constacyclic codes of length ps over Fpm are obtained. |
| format |
Journal |
| author |
Hai Q. Dinh Xiaoqiang Wang Hongwei Liu Songsak Sriboonchitta |
| author_facet |
Hai Q. Dinh Xiaoqiang Wang Hongwei Liu Songsak Sriboonchitta |
| author_sort |
Hai Q. Dinh |
| title |
On the b-distance of repeated-root constacyclic codes of prime power lengths |
| title_short |
On the b-distance of repeated-root constacyclic codes of prime power lengths |
| title_full |
On the b-distance of repeated-root constacyclic codes of prime power lengths |
| title_fullStr |
On the b-distance of repeated-root constacyclic codes of prime power lengths |
| title_full_unstemmed |
On the b-distance of repeated-root constacyclic codes of prime power lengths |
| title_sort |
on the b-distance of repeated-root constacyclic codes of prime power lengths |
| publishDate |
2020 |
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https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85076711891&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/68452 |
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