Please use this identifier to cite or link to this item: http://cmuir.cmu.ac.th/jspui/handle/6653943832/66706
Title: A class of linear codes of length 2 over finite chain rings
Authors: Yonglin Cao
Yuan Cao
Hai Q. Dinh
Fang Wei Fu
Jian Gao
Songsak Sriboonchitta
Keywords: Mathematics
Issue Date: 1-Jan-2019
Abstract: © 2020 World Scientific Publishing Company. Let pm be a finite field of cardinality pm, where p is an odd prime, k,λ be positive integers satisfying λ ≥ 2, and denote = pm[x]/(f(x)λpk), where f(x) is an irreducible polynomial in pm[x]. In this note, for any fixed invertible element ω ×, we present all distinct linear codes S over of length 2 satisfying the condition: (ωf(x)pka1,a0) S for all (a0,a1) S. This conclusion can be used to determine the structure of (δ + αu2)-constacyclic codes over the finite chain ring pm[u]/(u2λ) of length npk for any positive integer n satisfying gcd(p,n) = 1.
URI: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85070193939&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/66706
ISSN: 02194988
Appears in Collections:CMUL: Journal Articles

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