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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
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.
ISSN: 19305338
Appears in Collections:CMUL: Journal Articles

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