Please use this identifier to cite or link to this item: http://cmuir.cmu.ac.th/jspui/handle/6653943832/68453
Title: On matrix-product structure of repeated-root constacyclic codes over finite fields
Authors: Yonglin Cao
Yuan Cao
Hai Q. Dinh
Fang Wei Fu
Paravee Maneejuk
Keywords: Mathematics
Issue Date: 1-Apr-2020
Abstract: © 2019 Elsevier B.V. For any prime number p, positive integers m,k,n, where n satisfies gcd(p,n)=1, and for any non-zero element λ0 of the finite field Fpm of cardinality pm, we prove that any λ0pk-constacyclic code of length pkn over the finite field Fpm is monomially equivalent to a matrix-product code of a nested sequence of pkλ0-constacyclic codes with length n over Fpm. As an application, we completely determine the Hamming distances of all negacyclic codes of length 7⋅2l over F7 for any integer l≥3.
URI: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85076694051&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/68453
ISSN: 0012365X
Appears in Collections:CMUL: Journal Articles

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