Hamming and Symbol-Pair Distances of Repeated-Root Constacyclic Codes of Prime Power Lengths over Fpm + uFpm
IEEE The ring R = Fpm + uFpm has precisely pm(pm–1) units, which are of the forms γ and α+uβ, where 0 ≠ α,β,γ ∈ Fpm. Using generator polynomial structures of constacyclic codes of length ps over R, the...
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th-cmuir.6653943832-626502018-11-29T07:47:58Z Hamming and Symbol-Pair Distances of Repeated-Root Constacyclic Codes of Prime Power Lengths over Fpm + uFpm Hai Q. Dinh Bac Trong Nguyen Abhay Kumar Singh Songsak Sriboonchitta Computer Science Engineering Mathematics IEEE The ring R = Fpm + uFpm has precisely pm(pm–1) units, which are of the forms γ and α+uβ, where 0 ≠ α,β,γ ∈ Fpm. Using generator polynomial structures of constacyclic codes of length ps over R, the Hamming and symbol-pair distance distributions of all such codes are completely determined. As examples, we provide some good codes with better parameters than the known ones. 2018-11-29T07:38:08Z 2018-11-29T07:38:08Z 2018-09-04 Journal 15582558 10897798 2-s2.0-85052869785 10.1109/LCOMM.2018.2868637 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85052869785&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/62650 |
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Computer Science Engineering Mathematics |
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Computer Science Engineering Mathematics Hai Q. Dinh Bac Trong Nguyen Abhay Kumar Singh Songsak Sriboonchitta Hamming and Symbol-Pair Distances of Repeated-Root Constacyclic Codes of Prime Power Lengths over Fpm + uFpm |
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IEEE The ring R = Fpm + uFpm has precisely pm(pm–1) units, which are of the forms γ and α+uβ, where 0 ≠ α,β,γ ∈ Fpm. Using generator polynomial structures of constacyclic codes of length ps over R, the Hamming and symbol-pair distance distributions of all such codes are completely determined. As examples, we provide some good codes with better parameters than the known ones. |
| 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 |
Hamming and Symbol-Pair Distances of Repeated-Root Constacyclic Codes of Prime Power Lengths over Fpm + uFpm |
| title_short |
Hamming and Symbol-Pair Distances of Repeated-Root Constacyclic Codes of Prime Power Lengths over Fpm + uFpm |
| title_full |
Hamming and Symbol-Pair Distances of Repeated-Root Constacyclic Codes of Prime Power Lengths over Fpm + uFpm |
| title_fullStr |
Hamming and Symbol-Pair Distances of Repeated-Root Constacyclic Codes of Prime Power Lengths over Fpm + uFpm |
| title_full_unstemmed |
Hamming and Symbol-Pair Distances of Repeated-Root Constacyclic Codes of Prime Power Lengths over Fpm + uFpm |
| title_sort |
hamming and symbol-pair distances of repeated-root constacyclic codes of prime power lengths over fpm + ufpm |
| publishDate |
2018 |
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https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85052869785&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/62650 |
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