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Title: Hamming distance of repeated-root constacyclic codes of length 2 p<sup>s</sup> over F<sup>pm</sup>+uF<sup>pm</sup>
Authors: Hai Q. Dinh
A. Gaur
Indivar Gupta
Abhay K. Singh
Manoj Kumar Singh
Roengchai Tansuchat
Keywords: Mathematics
Issue Date: 1-Jun-2020
Abstract: © 2020, Springer-Verlag GmbH, DE. Let p be an odd prime, and δ be an arbitrary unit of the finite chain ring Fpm+uFpm(u2=0). The Hamming distances of all δ-constacyclic codes of length 2 ps over Fpm+uFpm are completely determined. We provide some examples from which some codes have better parameters than the existing ones. As applications, we determine all MDS repeated-root δ-constacyclic codes of length 2 ps over Fpm+uFpm.
ISSN: 09381279
Appears in Collections:CMUL: Journal Articles

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