Repeated-root constacyclic codes of length ℓps and their duals
Dinh, Hai Q.
Date of Issue2014
School of Physical and Mathematical Sciences
An equivalence relation is introduced on the nonzero elements of the finite field Fpm to classify constacyclic codes of arbitrary length over Fpm. According to the equivalence classes, all constacyclic codes of length ℓps over Fpm and their duals are characterized, where ℓ is a prime different from p and s is a positive integer. Self-dual cyclic codes of length ℓps over Fpm exist precisely when pp is equal to two; in this case, all self-dual cyclic codes of length 2sℓ over F2m are presented.
Discrete applied mathematics
© 2014 Elsevier. This is the author created version of a work that has been peer reviewed and accepted for publication by Discrete Applied Mathematics, Elsevier. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [Article DOI: http://dx.doi.org/10.1016/j.dam.2014.05.046].