Please use this identifier to cite or link to this item: http://cmuir.cmu.ac.th/jspui/handle/6653943832/55948
Title: Repeated-root constacyclic codes of prime power length over [Formula presented] and their duals
Authors: Hai Q. Dinh
Sompong Dhompongsa
Songsak Sriboonchitta
Keywords: Mathematics
Issue Date: 6-Jun-2016
Abstract: © 2016 Elsevier B.V. The units of the chain ring [formula presented] are partitioned into a distinct types. It is shown that for any unit Λ of Type k, a unit λ of Type k∗can be constructed, such that the class of λ-constacyclic of length psof Type k∗codes is one-to-one correspondent to the class of Λ-constacyclic codes of the same length of Type k via a ring isomorphism. The units of Raof the form Λ=Λ0+uΛ1+⋯+ua−1Λa−1, where Λ0,Λ1,…,Λa−1∈Fpm, Λ0≠0,Λ1≠0, are considered in detail. The structure, duals, Hamming and homogeneous distances of Λ-constacyclic codes of length psover Raare established. It is shown that self-dual Λ-constacyclic codes of length psover Raexist if and only if a is even, and in such case, it is unique. Among other results, we discuss some conditions when a code is both α- and β-constacyclic over Rafor different units α, β.
URI: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84977522194&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/55948
ISSN: 0012365X
Appears in Collections:CMUL: Journal Articles

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