Title

Repeated-Root Constacyclic Codes of Length 2ℓmpn

Publication Title

Finite Fields and Their Applications

Publication Date

5-2015

Document Type

Article

DOI

10.1016/J.FFA.2014.11.006

Keywords

11T71, 94B05, finite field, constacyclic code, cyclic code, negacyclic code, dual code, generator polynomial

Disciplines

Algebra | Applied Mathematics | Mathematics

Abstract

For any different odd primes ℓ and p, structure of constacyclic codes of length 2ℓmpn over the finite field Fq of characteristic p and their duals is established in terms of their generator polynomials. Among other results, the characterization and enumeration of all linear complementary dual and self-dual constacyclic codes of length 2ℓmpn are obtained.

Publisher

Elsevier

Publisher Location

Amsterdam, Netherlands


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