On the structure of cyclic codes over <inf>q</inf>RS and applications in quantum and LCD codes constructions
© 2013 IEEE. Let p be an odd prime, q=pm, R= q}+u q with u2=1, and S= Fq+u q+v q+uv q with u2=1, v2=1, uv=vu. In this paper, qRS-cyclic codes over qRS are studied. As an application, we present a construction of quantum error-correcting codes (QECCs) from the qRS-cyclic codes over qRS, which pr...
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th-cmuir.6653943832-683532020-04-02T15:27:32Z On the structure of cyclic codes over <inf>q</inf>RS and applications in quantum and LCD codes constructions Hai Q. Dinh Tushar Bag Ashish Kumar Upadhyay Ramakrishna Bandi Warattaya Chinnakum Computer Science Engineering Materials Science © 2013 IEEE. Let p be an odd prime, q=pm, R= q}+u q with u2=1, and S= Fq+u q+v q+uv q with u2=1, v2=1, uv=vu. In this paper, qRS-cyclic codes over qRS are studied. As an application, we present a construction of quantum error-correcting codes (QECCs) from the qRS-cyclic codes over qRS, which provides new QECCs. We also consider linear complementary dual (LCD) codes from the qRS-cyclic codes over qRS. Among others, we construct a Gray map over qRS and discuss the Gray images of qRS-cyclic codes over q 2020-04-02T15:25:22Z 2020-04-02T15:25:22Z 2020-01-01 Journal 21693536 2-s2.0-85079822436 10.1109/ACCESS.2020.2966542 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85079822436&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/68353 |
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Computer Science Engineering Materials Science |
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Computer Science Engineering Materials Science Hai Q. Dinh Tushar Bag Ashish Kumar Upadhyay Ramakrishna Bandi Warattaya Chinnakum On the structure of cyclic codes over <inf>q</inf>RS and applications in quantum and LCD codes constructions |
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© 2013 IEEE. Let p be an odd prime, q=pm, R= q}+u q with u2=1, and S= Fq+u q+v q+uv q with u2=1, v2=1, uv=vu. In this paper, qRS-cyclic codes over qRS are studied. As an application, we present a construction of quantum error-correcting codes (QECCs) from the qRS-cyclic codes over qRS, which provides new QECCs. We also consider linear complementary dual (LCD) codes from the qRS-cyclic codes over qRS. Among others, we construct a Gray map over qRS and discuss the Gray images of qRS-cyclic codes over q |
| format |
Journal |
| author |
Hai Q. Dinh Tushar Bag Ashish Kumar Upadhyay Ramakrishna Bandi Warattaya Chinnakum |
| author_facet |
Hai Q. Dinh Tushar Bag Ashish Kumar Upadhyay Ramakrishna Bandi Warattaya Chinnakum |
| author_sort |
Hai Q. Dinh |
| title |
On the structure of cyclic codes over <inf>q</inf>RS and applications in quantum and LCD codes constructions |
| title_short |
On the structure of cyclic codes over <inf>q</inf>RS and applications in quantum and LCD codes constructions |
| title_full |
On the structure of cyclic codes over <inf>q</inf>RS and applications in quantum and LCD codes constructions |
| title_fullStr |
On the structure of cyclic codes over <inf>q</inf>RS and applications in quantum and LCD codes constructions |
| title_full_unstemmed |
On the structure of cyclic codes over <inf>q</inf>RS and applications in quantum and LCD codes constructions |
| title_sort |
on the structure of cyclic codes over <inf>q</inf>rs and applications in quantum and lcd codes constructions |
| publishDate |
2020 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85079822436&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/68353 |
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