Improved Constructions for Nonbinary Quantum BCH Codes

被引:21
作者
Qian, Jianfa [1 ]
Zhang, Lina [1 ]
机构
[1] Huizhou Univ, Dept Math, Huizhou 516007, Guangdong, Peoples R China
基金
美国国家科学基金会;
关键词
Quantum code; Cyclic code; BCH code;
D O I
10.1007/s10773-017-3277-y
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this work, we present two improved constructions for nonbinary quantum codes of lengths n = q(4)-1/2 and n = q(4)-1/q-1 where q is an odd prime power. Moreover, the constructed quantum BCH codes have parameters better than those obtained from other known constructions.
引用
收藏
页码:1355 / 1363
页数:9
相关论文
共 24 条
[1]   On quantum and classical BCH codes [J].
Aly, Salah A. ;
Klappenecker, Andreas ;
Sarvepalli, Pradeep Kiran .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2007, 53 (03) :1183-1188
[2]   Quantum error correction via codes over GF (4) [J].
Calderbank, AR ;
Rains, EM ;
Shor, PW ;
Sloane, NJA .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1998, 44 (04) :1369-1387
[3]  
Cary Huffman., 2003, Fundamentals of Error-Correcting Codes
[4]   Application of Constacyclic Codes to Quantum MDS Codes [J].
Chen, Bocong ;
Ling, San ;
Zhang, Guanghui .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2015, 61 (03) :1474-1484
[5]   New Optimal Asymmetric Quantum Codes Derived from Negacyclic Codes [J].
Chen, Jian-Zhang ;
Li, Jian-Ping ;
Lin, Jie .
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2014, 53 (01) :72-79
[6]   Asymptotic bounds on quantum codes from algebraic geometry codes [J].
Feng, KQ ;
Ling, S ;
Xing, CP .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2006, 52 (03) :986-991
[7]  
Grassl M, 1999, LECT NOTES COMPUT SC, V1719, P231
[8]   Codes for the quantum erasure channel [J].
Grassl, M ;
Beth, T ;
Pellizzari, T .
PHYSICAL REVIEW A, 1997, 56 (01) :33-38
[9]   Application of Classical Hermitian Self-Orthogonal MDS Codes to Quantum MDS Codes [J].
Jin, Lingfei ;
Ling, San ;
Luo, Jinquan ;
Xing, Chaoping .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2010, 56 (09) :4735-4740
[10]   Quantum negacyclic codes [J].
Kai, Xiaoshan ;
Zhu, Shixin ;
Tang, Yongsheng .
PHYSICAL REVIEW A, 2013, 88 (01)