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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sg-ntu-dr.10356-998742023-02-28T19:41:50Z Repeated-root constacyclic codes of length ℓps and their duals Chen, Bocong Dinh, Hai Q. Liu, Hongwei School of Physical and Mathematical Sciences DRNTU::Science::Mathematics 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. Accepted version 2014-12-09T06:03:38Z 2019-12-06T20:12:44Z 2014-12-09T06:03:38Z 2019-12-06T20:12:44Z 2014 2014 Journal Article Chen, B., Dinh, H. Q., & Liu, H. (2014). Repeated-root constacyclic codes of length ℓps and their duals. Discrete Applied Mathematics, 177, 60-70. https://hdl.handle.net/10356/99874 http://hdl.handle.net/10220/24382 10.1016/j.dam.2014.05.046 180561 en 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]. 18 p. application/pdf |
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DRNTU::Science::Mathematics Chen, Bocong Dinh, Hai Q. Liu, Hongwei Repeated-root constacyclic codes of length ℓps and their duals |
| description |
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. |
| author2 |
School of Physical and Mathematical Sciences |
| author_facet |
School of Physical and Mathematical Sciences Chen, Bocong Dinh, Hai Q. Liu, Hongwei |
| format |
Article |
| author |
Chen, Bocong Dinh, Hai Q. Liu, Hongwei |
| author_sort |
Chen, Bocong |
| title |
Repeated-root constacyclic codes of length ℓps and their duals |
| title_short |
Repeated-root constacyclic codes of length ℓps and their duals |
| title_full |
Repeated-root constacyclic codes of length ℓps and their duals |
| title_fullStr |
Repeated-root constacyclic codes of length ℓps and their duals |
| title_full_unstemmed |
Repeated-root constacyclic codes of length ℓps and their duals |
| title_sort |
repeated-root constacyclic codes of length ℓps and their duals |
| publishDate |
2014 |
| url |
https://hdl.handle.net/10356/99874 http://hdl.handle.net/10220/24382 |
| _version_ |
1759858011406336000 |