On the generalization of the construction of quantum codes from Hermitian self-orthogonal codes

被引：4
|
作者：
Galindo, Carlos [1 ,2 ]
Hernando, Fernando [1 ,2 ]
机构：
[1] Univ Jaume 1, Inst Univ Matemat & Aplicac Castellon, Campus Riu Sec, Castellon de La Plana 12071, Spain
[2] Univ Jaume 1, Dept Matemat, Campus Riu Sec, Castellon de La Plana 12071, Spain
来源：
DESIGNS CODES AND CRYPTOGRAPHY | 2022年 / 90卷 / 05期
关键词：
Stabilizer quantum codes; Hermitian duality; Self-orthogonal codes; ERROR-CORRECTING CODES; MDS CODES; COMPUTATION;
D O I：
10.1007/s10623-022-01018-2
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Many q-ary stabilizer quantum codes can be constructed from Hermitian self-orthogonal q(2)-ary linear codes. This result can be generalized to q(2m)-ary linear codes, m > 1. We give a result for easily obtaining quantum codes from that generalization. As a consequence we provide several new binary stabilizer quantum codes which are records according to Grassl (Bounds on the minimum distance of linear codes, http://www.codetables.de, 2020) and new q-ary ones, with q not equal 2, improving others in the literature.
引用
收藏
页码：1103 / 1112
页数：10
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