New EAQEC codes from cyclic codes over Fq+ uFq

被引：0

作者：

Liu, Hualu ^{[1
]}

Liu, Xiusheng ^{[2
]}

机构：

[1] Hubei Univ Technol, Sch Sci, Wuhan 430068, Hubei, Peoples R China

[2] Hubei Polytech Univ, Sch Math & Phys, Huangshi 435003, Hubei, Peoples R China

来源：

QUANTUM INFORMATION PROCESSING | 2020年 / 19卷 / 03期

关键词：

Entanglement-assisted quantum codes; Cyclic codes; Hulls; QUANTUM MDS CODES; FINITE;

D O I：

10.1007/s11128-020-2580-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we provide two methods of constructing entanglement-assisted quantum error-correcting (EAQEC, for short) codes from cyclic codes over finite chain rings F-q + uF(q), where q = p(m), p is a prime number and m = 1 is an integer. The first one is derived from the Euclidean hulls applied to the cyclic codes over finite chain rings F-q + uF(q). The second construction is derived from the Hermitian hulls applied to the cyclic codes over finite chain rings F-q2 + uF(q2). Moreover, most of the EAQEC codes constructed are new in the sense that their parameters are different from all the previously known ones.

引用

页数：16

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