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Hamming distance of repeated-root constacyclic codes of length 2ps over Fpm + uFpm

Authors: 

Hai Q. Dinh, A. Gaur, Indivar Gupta, Abhay K. Singh, Manoj Kumar Singh, Roengchai Tansuchat

Source title: 
Applicable Algebra in Engineering, Communication and Computing, 31: 291-305, 2020 (ISI)
Academic year of acceptance: 
2020-2021
Abstract: 

Let p be an odd prime, and δ be an arbitrary unit of the finite chain ring a (u2 = 0). The Hamming distances of all δ-constacyclic codes of length 2ps over a 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 δδ-constacyclic codes of length 2ps over a.