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Title: On the Symbol-Pair Distance of Repeated-Root Constacyclic Codes of Prime Power Lengths
Authors: Hai Q. Dinh
Bac Trong Nguyen
Abhay Kumar Singh
Songsak Sriboonchitta
Keywords: Computer Science
Social Sciences
Issue Date: 1-Apr-2018
Abstract: © 1963-2012 IEEE. Let p be a prime, and λ be a nonzero element of the finite field Fpm. The λ-constacyclic codes of length psover Fpmare linearly ordered under set-theoretic inclusion, i.e., they are the ideals (x-λ0)i, 0 ≤ i ≤ psof the chain ring [(Fpm[x])/(xps-λ)]. This structure is used to establish the symbol-pair distances of all such λ-constacyclic codes. Among others, all maximum distance separable symbol-pair constacyclic codes of length p^{s} are obtained.
ISSN: 00189448
Appears in Collections:CMUL: Journal Articles

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