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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| Main Authors: | , , , |
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| Format: | Journal |
| Published: |
2017
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| Online Access: | 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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| Institution: | Chiang Mai University |
| Summary: | 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. |
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