Title

Repeated-Root Constacyclic Codes of Length 2p^s

Publication Title

Finite Fields and Their Applications

Publication Date

1-2012

Document Type

Article

DOI

10.1016/J.FFA.2011.07.003

Keywords

94B15, 12Y05, cyclic codes, negacyclic codes, constacyclic codes, dual codes, repeated-root codes

Disciplines

Algebra | Applied Mathematics | Mathematics

Abstract

The algebraic structures in term of polynomial generators of all constacyclic codes of length 2ps over the finite field Fpm are established. Among other results, all self-dual negacyclic codes of length 2ps, where p ≡ 1 (mod 4) (any m), or p ≡ 3 (mod 4) and m is even, are provided. It is also shown the non-existence of self-dual negacyclic codes of length 2ps, where p ≡ 3 (mod 4), m is odd, and self-dual cyclic codes of length 2ps, for any odd prime p.

Publisher

Elsevier

Publisher Location

Amsterdam, Netherlands


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