On the Symbol-Pair Distance of Repeated-Root Constacyclic Codes of Prime Power Lengths
© 1963-2012 IEEE. Let p be a prime, and λ be a nonzero element of the finite field Fpm. The λ-constacyclic codes of length psover Fpmare linearly ordered under set-theoretic inclusion, i.e., they are the ideals (x-λ0)i, 0 ≤ i ≤ psof the chain ring [(Fpm[x])/(xps-λ)]. This structure is used to establ...
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th-cmuir.6653943832-585082018-09-05T04:40:29Z On the Symbol-Pair Distance of Repeated-Root Constacyclic Codes of Prime Power Lengths Hai Q. Dinh Bac Trong Nguyen Abhay Kumar Singh Songsak Sriboonchitta Computer Science Social Sciences © 1963-2012 IEEE. Let p be a prime, and λ be a nonzero element of the finite field Fpm. The λ-constacyclic codes of length psover Fpmare linearly ordered under set-theoretic inclusion, i.e., they are the ideals (x-λ0)i, 0 ≤ i ≤ psof the chain ring [(Fpm[x])/(xps-λ)]. This structure is used to establish the symbol-pair distances of all such λ-constacyclic codes. Among others, all maximum distance separable symbol-pair constacyclic codes of length p^{s} are obtained. 2018-09-05T04:25:44Z 2018-09-05T04:25:44Z 2018-04-01 Journal 00189448 2-s2.0-85028917637 10.1109/TIT.2017.2726691 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85028917637&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/58508 |
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Computer Science Social Sciences |
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Computer Science Social Sciences Hai Q. Dinh Bac Trong Nguyen Abhay Kumar Singh Songsak Sriboonchitta On the Symbol-Pair Distance of Repeated-Root Constacyclic Codes of Prime Power Lengths |
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© 1963-2012 IEEE. Let p be a prime, and λ be a nonzero element of the finite field Fpm. The λ-constacyclic codes of length psover Fpmare linearly ordered under set-theoretic inclusion, i.e., they are the ideals (x-λ0)i, 0 ≤ i ≤ psof the chain ring [(Fpm[x])/(xps-λ)]. This structure is used to establish the symbol-pair distances of all such λ-constacyclic codes. Among others, all maximum distance separable symbol-pair constacyclic codes of length p^{s} are obtained. |
| format |
Journal |
| author |
Hai Q. Dinh Bac Trong Nguyen Abhay Kumar Singh Songsak Sriboonchitta |
| author_facet |
Hai Q. Dinh Bac Trong Nguyen Abhay Kumar Singh Songsak Sriboonchitta |
| author_sort |
Hai Q. Dinh |
| title |
On the Symbol-Pair Distance of Repeated-Root Constacyclic Codes of Prime Power Lengths |
| title_short |
On the Symbol-Pair Distance of Repeated-Root Constacyclic Codes of Prime Power Lengths |
| title_full |
On the Symbol-Pair Distance of Repeated-Root Constacyclic Codes of Prime Power Lengths |
| title_fullStr |
On the Symbol-Pair Distance of Repeated-Root Constacyclic Codes of Prime Power Lengths |
| title_full_unstemmed |
On the Symbol-Pair Distance of Repeated-Root Constacyclic Codes of Prime Power Lengths |
| title_sort |
on the symbol-pair distance of repeated-root constacyclic codes of prime power lengths |
| publishDate |
2018 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85028917637&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/58508 |
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