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Hamming and Symbol-Pair Distances of Repeated-Root Constacyclic Codes of Prime Power Lengths Over $\mathbb F_{p^m}+u\mathbb F_{p^m}$

Authors: 

Hai Q. Dinh, Bac Trong Nguyen, Abhay Kumar Singh, and Songsak Sriboonchitta

Source title: 
IEEE Communications Letters, 22(12): 2400-2403, 2018 (ISI)
Academic year of acceptance: 
2018-2019
Abstract: 

The ring R = Fp m + uFp m has precisely p m (p m -1) units which are of the forms γ and α + uβ, where 0 ≠ α, β, γ ϵ Fp m . Using generator polynomial structures of constacyclic codes of length p s 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