On the Symbol-Pair Distance of Repeated-Root Constacyclic Codes of Prime Power Lengths*
IEEE Let p be a prime, and & #x03BB; be a nonzero element of the finite field Fpm. The & #x03BB;-constacyclic codes of length ps over Fpm are linearly ordered under set-theoretic inclusion, i.e., they are the ideals & #x027E8;(x & #x2212; & #x03BB;0)i & #x027E9;, 0 &...
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2017
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th-cmuir.6653943832-402812017-09-28T04:08:41Z On the Symbol-Pair Distance of Repeated-Root Constacyclic Codes of Prime Power Lengths* Dinh H. Nguyen B. Singh A. Sriboonchitta S. IEEE Let p be a prime, and & #x03BB; be a nonzero element of the finite field Fpm. The & #x03BB;-constacyclic codes of length ps over Fpm are linearly ordered under set-theoretic inclusion, i.e., they are the ideals & #x027E8;(x & #x2212; & #x03BB;0)i & #x027E9;, 0 & #x2264; i & #x2264; ps of the chain ring Fpm & #x005B;x & #x005D; / & #x027E8;xps & #x2212; & #x03BB; & #x027E9;. This structure is used to establish the symbol-pair distances of all such & #x03BB;-constacyclic codes. Among others, all MDS symbol-pair constacyclic codes of length ps are obtained. 2017-09-28T04:08:41Z 2017-09-28T04:08:41Z 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/6653943832/40281 |
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IEEE Let p be a prime, and & #x03BB; be a nonzero element of the finite field Fpm. The & #x03BB;-constacyclic codes of length ps over Fpm are linearly ordered under set-theoretic inclusion, i.e., they are the ideals & #x027E8;(x & #x2212; & #x03BB;0)i & #x027E9;, 0 & #x2264; i & #x2264; ps of the chain ring Fpm & #x005B;x & #x005D; / & #x027E8;xps & #x2212; & #x03BB; & #x027E9;. This structure is used to establish the symbol-pair distances of all such & #x03BB;-constacyclic codes. Among others, all MDS symbol-pair constacyclic codes of length ps are obtained. |
| format |
Journal |
| author |
Dinh H. Nguyen B. Singh A. Sriboonchitta S. |
| spellingShingle |
Dinh H. Nguyen B. Singh A. Sriboonchitta S. On the Symbol-Pair Distance of Repeated-Root Constacyclic Codes of Prime Power Lengths* |
| author_facet |
Dinh H. Nguyen B. Singh A. Sriboonchitta S. |
| author_sort |
Dinh H. |
| 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 |
2017 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85028917637&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/40281 |
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1681421780877574144 |