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Title: On the b-distance of repeated-root constacyclic codes of prime power lengths
Authors: Hai Q. Dinh
Xiaoqiang Wang
Hongwei Liu
Songsak Sriboonchitta
Keywords: Mathematics
Issue Date: 1-Apr-2020
Abstract: © 2019 Elsevier B.V. Let p be a prime, s, m be positive integers, λ be a nonzero element of the finite field Fpm. The b-distance generalizes the Hamming distance (b=1), and the symbol-pair distance (b=2). While the Hamming and symbol-pair distances of all λ-constacyclic codes of length ps are completely determined, the general b-distance of such codes was left opened. In this paper, we provide a new technique to establish the b-distance of all λ-constacyclic codes of length ps, where 1≤b≤⌊ [Formula presented] ⌋. As an application, all MDS b-symbol constacyclic codes of length ps over Fpm are obtained.
ISSN: 0012365X
Appears in Collections:CMUL: Journal Articles

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