Repeated-root constacyclic codes of length 3ℓ<sup>m</sup>p<sup>s</sup>
© 2020 AIMS. Let p be a prime different from 3, and ℓ be an odd prime different from 3 and p. In terms of generator polynomials, structures of constacyclic codes and their duals of length 3ℓmps over Fq are established, where q is a power of p. We discuss the enumeration of all cyclic codes of length...
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th-cmuir.6653943832-704622020-10-14T08:40:33Z Repeated-root constacyclic codes of length 3ℓ<sup>m</sup>p<sup>s</sup> Yan Liu Minjia Shi Hai Q. Dinh Songsak Sriboonchitta Computer Science Mathematics © 2020 AIMS. Let p be a prime different from 3, and ℓ be an odd prime different from 3 and p. In terms of generator polynomials, structures of constacyclic codes and their duals of length 3ℓmps over Fq are established, where q is a power of p. We discuss the enumeration of all cyclic codes of length 3 · 2sℓm, that generalizes the construction of [15] (2016), which is the special case of m = 1. In addition, as an application, the characterization and enumeration of all linear complementary dual cyclic codes of length 6ℓmps over Fq are obtained. 2020-10-14T08:31:19Z 2020-10-14T08:31:19Z 2020-01-01 Journal 19305338 19305346 2-s2.0-85086666745 10.3934/amc.2020025 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85086666745&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/70462 |
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Computer Science Mathematics |
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Computer Science Mathematics Yan Liu Minjia Shi Hai Q. Dinh Songsak Sriboonchitta Repeated-root constacyclic codes of length 3ℓ<sup>m</sup>p<sup>s</sup> |
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© 2020 AIMS. Let p be a prime different from 3, and ℓ be an odd prime different from 3 and p. In terms of generator polynomials, structures of constacyclic codes and their duals of length 3ℓmps over Fq are established, where q is a power of p. We discuss the enumeration of all cyclic codes of length 3 · 2sℓm, that generalizes the construction of [15] (2016), which is the special case of m = 1. In addition, as an application, the characterization and enumeration of all linear complementary dual cyclic codes of length 6ℓmps over Fq are obtained. |
| format |
Journal |
| author |
Yan Liu Minjia Shi Hai Q. Dinh Songsak Sriboonchitta |
| author_facet |
Yan Liu Minjia Shi Hai Q. Dinh Songsak Sriboonchitta |
| author_sort |
Yan Liu |
| title |
Repeated-root constacyclic codes of length 3ℓ<sup>m</sup>p<sup>s</sup> |
| title_short |
Repeated-root constacyclic codes of length 3ℓ<sup>m</sup>p<sup>s</sup> |
| title_full |
Repeated-root constacyclic codes of length 3ℓ<sup>m</sup>p<sup>s</sup> |
| title_fullStr |
Repeated-root constacyclic codes of length 3ℓ<sup>m</sup>p<sup>s</sup> |
| title_full_unstemmed |
Repeated-root constacyclic codes of length 3ℓ<sup>m</sup>p<sup>s</sup> |
| title_sort |
repeated-root constacyclic codes of length 3ℓ<sup>m</sup>p<sup>s</sup> |
| publishDate |
2020 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85086666745&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/70462 |
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