Repeated-root constacyclic codes of length 2ℓmpn
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...
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sg-ntu-dr.10356-1068362023-02-28T19:47:00Z Repeated-root constacyclic codes of length 2ℓmpn Chen, Bocong Dinh, Hai Q. Liu, Hongwei School of Physical and Mathematical Sciences DRNTU::Science::Mathematics 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. MOE (Min. of Education, S’pore) Accepted version 2015-02-27T06:31:55Z 2019-12-06T22:19:23Z 2015-02-27T06:31:55Z 2019-12-06T22:19:23Z 2014 2014 Journal Article Chen, B., Dinh, H. Q., & Liu, H. (2015). Repeated-root constacyclic codes of length 2ℓmpn. Finite fields and their applications, 33, 137-159. 1071-5797 https://hdl.handle.net/10356/106836 http://hdl.handle.net/10220/25132 10.1016/j.ffa.2014.11.006 en Finite fields and their applications © 2014 Elsevier Inc. This is the author created version of a work that has been peer reviewed and accepted for publication by Finite Fields and Their Applications, Elsevier Inc. 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.ffa.2014.11.006]. 17 p. application/pdf |
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DRNTU::Science::Mathematics Chen, Bocong Dinh, Hai Q. Liu, Hongwei Repeated-root constacyclic codes of length 2ℓmpn |
| description |
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. |
| 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 2ℓmpn |
| title_short |
Repeated-root constacyclic codes of length 2ℓmpn |
| title_full |
Repeated-root constacyclic codes of length 2ℓmpn |
| title_fullStr |
Repeated-root constacyclic codes of length 2ℓmpn |
| title_full_unstemmed |
Repeated-root constacyclic codes of length 2ℓmpn |
| title_sort |
repeated-root constacyclic codes of length 2ℓmpn |
| publishDate |
2015 |
| url |
https://hdl.handle.net/10356/106836 http://hdl.handle.net/10220/25132 |
| _version_ |
1759853394391990272 |