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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.
ISSN: 0012365X
Appears in Collections:CMUL: Journal Articles

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