Hermitian Hulls of Constacyclic Codes and Their Applications to Quantum Codes

被引：4
|
作者：
Gao, Nan [1 ]
Li, Jin [1 ]
Huang, Shan [2 ]
机构：
[1] Hefei Univ Technol, Sch Math, Hefei, Anhui, Peoples R China
[2] Anhui Vocat Coll Police Officers, Dept Informat Management, Hefei, Anhui, Peoples R China
来源：
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2022年 / 61卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Constacyclic codes; Hermitian hull; MDS codes; EAQECCs; MDS CODES; PERMUTATION;
D O I：
10.1007/s10773-022-05012-1
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we construct several classes of maximum distance separable (MDS) codes via constacyclic codes, and determine the dimensions of their Hermitian hulls. Futhermore, using these MDS codes we obtain some new entanglement-assisted quantum error-correcting codes (EAQECCs) with flexible parameters, and they are EAQMDS codes for d <= (n + 2)/2.
引用
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页数：14
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