Repeated-root constacyclic codes of length ℓps and their duals

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...

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Bibliographic Details
Main Authors: Chen, Bocong, Dinh, Hai Q., Liu, Hongwei
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2014
Subjects:
Online Access:https://hdl.handle.net/10356/99874
http://hdl.handle.net/10220/24382
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Institution: Nanyang Technological University
Language: English
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Summary: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.