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Title: Hamming and Symbol-Pair Distances of Repeated-Root Constacyclic Codes of Prime Power Lengths over Fpm + uFpm
Authors: Hai Q. Dinh
Bac Trong Nguyen
Abhay Kumar Singh
Songsak Sriboonchitta
Keywords: Computer Science
Issue Date: 4-Sep-2018
Abstract: 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.
ISSN: 15582558
Appears in Collections:CMUL: Journal Articles

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