Please use this identifier to cite or link to this item: http://cmuir.cmu.ac.th/jspui/handle/6653943832/70462
Title: Repeated-root constacyclic codes of length 3ℓ<sup>m</sup>p<sup>s</sup>
Authors: Yan Liu
Minjia Shi
Hai Q. Dinh
Songsak Sriboonchitta
Keywords: Computer Science
Mathematics
Issue Date: 1-Jan-2020
Abstract: © 2020 AIMS. Let p be a prime different from 3, and ℓ be an odd prime different from 3 and p. In terms of generator polynomials, structures of constacyclic codes and their duals of length 3ℓmps over Fq are established, where q is a power of p. We discuss the enumeration of all cyclic codes of length 3 · 2sℓm, that generalizes the construction of [15] (2016), which is the special case of m = 1. In addition, as an application, the characterization and enumeration of all linear complementary dual cyclic codes of length 6ℓmps over Fq are obtained.
URI: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85086666745&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/70462
ISSN: 19305338
19305346
Appears in Collections:CMUL: Journal Articles

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