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 F pm . The λ-constacyclic codes of length p s over F pm are linearly ordered under set-theoretic inclusion, i.e., they are the ideals (x-λ 0 ) i , 0 ≤ i ≤ p s of the chain ring [(F pm [x])/(x ps -λ)]. This structure i...
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th-cmuir.6653943832-484442018-04-25T10:12:28Z 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 © 1963-2012 IEEE. Let p be a prime, and λ be a nonzero element of the finite field F pm . The λ-constacyclic codes of length p s over F pm are linearly ordered under set-theoretic inclusion, i.e., they are the ideals (x-λ 0 ) i , 0 ≤ i ≤ p s of the chain ring [(F pm [x])/(x ps -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. 2018-04-25T10:12:28Z 2018-04-25T10:12:28Z 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/6653943832/48444 |
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© 1963-2012 IEEE. Let p be a prime, and λ be a nonzero element of the finite field F pm . The λ-constacyclic codes of length p s over F pm are linearly ordered under set-theoretic inclusion, i.e., they are the ideals (x-λ 0 ) i , 0 ≤ i ≤ p s of the chain ring [(F pm [x])/(x ps -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 |
| spellingShingle |
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 |
| 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/6653943832/48444 |
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1681423250216714240 |