New MDS EAQECCs derived from constacyclic codes over Fq2+vFq2

被引：8

作者：

Gao, Jian ^{[1
]}

Zhang, Yaozong ^{[1
]}

Liu, Ying ^{[1
]}

Fu, Fang -Wei ^{[2
,3
]}

机构：

[1] Shandong Univ Technol, Sch Math & Stat, Zibo 255091, Peoples R China

[2] Nankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China

[3] Nankai Univ, Tianjin Key Lab Network & Data Secur Technol, LPMC, Tianjin 300071, Peoples R China

来源：

DISCRETE MATHEMATICS | 2023年 / 346卷 / 09期

基金：

中国国家自然科学基金;

关键词：

MDS EAQECCs; Defining sets; Constacyclic codes; Gray images; Finite non-chain rings; QUANTUM CODES;

D O I：

10.1016/j.disc.2023.113513

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Entanglement-assisted quantum error-correcting codes (EAQECCs) can improve information rate by using pre-shared entanglement between the sender and the receiver. In this paper, we construct three new infinite families of maximum distance separable (MDS) EAQECCs with less pre-shard maximally entangled states based on the Gray images of constacyclic codes over the finite non-chain ring Fq2 +vFq2 with v2 = v. The parameters of these MDS EAQECCs are not covered by the codes available in the previous literatures. Furthermore, our results generalize and improve the work of Lu et al. (2018) [16], (2020) [19]. (c) 2023 Elsevier B.V. All rights reserved.

引用

页数：12

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