On the Structure of Cyclic Codes Over $\mathbb{F}_{q}{RS}$ and Applications in Quantum and LCD Codes Constructions

Autor:	Hai Q. Dinh, Tushar Bag, Ashish Kumar Upadhyay, Ramakrishna Bandi, Warattaya Chinnakum
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	Cyclic codes mixed alphabet codes QECCs LCD codes Electrical engineering. Electronics. Nuclear engineering TK1-9971
Zdroj:	IEEE Access, Vol 8, Pp 18902-18914 (2020)
Druh dokumentu:	article
ISSN:	2169-3536
DOI:	10.1109/ACCESS.2020.2966542
Popis:	Let p be an odd prime, q = pm, R = Fq + uFq with u2 = 1, and S = Fq + uFq + vFq + uvFq with u2 = 1, v2 = 1, uv = vu. In this paper, FqRS-cyclic codes over FqRS are studied. As an application, we present a construction of quantum error-correcting codes (QECCs) from the FqRS-cyclic codes over FqRS, which provides new QECCs. We also consider linear complementary dual (LCD) codes from the FqRS-cyclic codes over FqRS. Among others, we construct a Gray map over FqRS and discuss the Gray images of FqRS-cyclic codes over Fq.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/12df92e6234b486d9f04a06be2a42050 Zobrazit plný text záznamu View record in DOAJ