Two classes of quantum codes from almost MDS codes

被引：0
|
作者：
Sun, Zhonghua [1 ]
Liu, Xinyue [1 ]
Zhu, Shixin [1 ]
机构：
[1] Hefei Univ Technol, Sch Math, Hefei 230601, Anhui, Peoples R China
来源：
INTERNATIONAL JOURNAL OF QUANTUM INFORMATION | 2023年 / 21卷 / 08期
基金：
中国国家自然科学基金;
关键词：
Quantum code; Hermitian dual-containing code; almost MDS code; cyclic code; CONSTACYCLIC CODES; STABILIZER CODES; CONSTRUCTION; DISTANCE;
D O I：
10.1142/S0219749923500326
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Hermitian dual-containing codes are an important class of linear codes which have important applications in the construction of quantum codes. In this paper, two classes of Hermitian dual-containing almost MDS codes over finite fields are studied. By employing the Hermitian construction, a class of quantum codes with minimum distance 3 and a class of quantum codes with minimum distance 4 are constructed.
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页数：18
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