On quantum codes obtained from cyclic codes over A2

被引：57

作者：

Dertli, Abdullah ^{[1
]}

Cengellenmis, Yasemin ^{[2
]}

Eren, Senol ^{[1
]}

机构：

[1] Ondokuz Mayis Univ, Dept Math, Fac Arts & Sci, Samsun, Turkey

[2] Trakya Univ, Fac Arts & Sci, Dept Math, Edirne, Turkey

来源：

INTERNATIONAL JOURNAL OF QUANTUM INFORMATION | 2015年 / 13卷 / 03期

关键词：

Quantum codes; cyclic codes; finite rings;

D O I：

10.1142/S0219749915500318

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, quantum codes from cyclic codes over A(2) = F-2 + uF(2) + vF(2) + uvF(2), u(2) = u, v(2) = v, uv = vu, for arbitrary length n have been constructed. It is shown that if C is self orthogonal over A(2), then so is Psi(C), where Psi is a Gray map. A necessary and sufficient condition for cyclic codes over A(2) that contains its dual has also been given. Finally, the parameters of quantum error correcting codes are obtained from cyclic codes over A(2).

引用

页数：9

共 50 条

[1] On quantum codes obtained from cyclic codes over F-2
Singh, Abhay Kumar
Pattanayak, Sukhamoy
Kumar, Pratyush
Shum, Kar Ping
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2018, 11 (01)
[2] QUANTUM CODES FROM CYCLIC CODES OVER THE Fq
Tetik, Ceremnur
Dertli, Abdullah
JOURNAL OF SCIENCE AND ARTS, 2021, (03): : 611 - 616
[3] A study of quantum codes obtained from cyclic codes over a non-chain ring
Hai Q. Dinh
Narendra Kumar
Abhay Kumar Singh
Cryptography and Communications, 2022, 14 : 909 - 923
[4] A study of quantum codes obtained from cyclic codes over a non-chain ring
Dinh, Hai Q.
Kumar, Narendra
Singh, Abhay Kumar
CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2022, 14 (04): : 909 - 923
[5] Quantum Codes From Cyclic Codes Over The Ring R2
Altinel, Alev
Guzeltepe, Murat
INTERNATIONAL CONFERENCE ON QUANTUM SCIENCE AND APPLICATIONS (ICQSA-2016), 2016, 766
[6] QUANTUM CODES FROM CYCLIC CODES OVER FINITE RING
Qian, Jianfa
Ma, Wenping
Guo, Wangmei
INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 2009, 7 (06) : 1277 - 1283
[7] Quantum Codes Obtained from Skew ϱ - -Constacyclic Codes over Rk
Kong, Bo
Zheng, Xiying
Liu, Jie
Jiang, Hongjing
Quantum Engineering, 2023, 2023
[8] Quantum codes from cyclic codes over F2 + vF2
Qian, Jianfa
Journal of Information and Computational Science, 2013, 10 (06): : 1715 - 1722
[9] Quantum codes from cyclic codes over the mixed alphabet structure
Ashraf, Mohammad
Khan, Naim
Mohammad, Ghulam
QUANTUM INFORMATION PROCESSING, 2022, 21 (05)
[10] ON QUANTUM CODES FROM CYCLIC CODES OVER A CLASS OF NONCHAIN RINGS
Sari, Mustafa
Siap, Irfan
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2016, 53 (06) : 1617 - 1628

← 1 2 3 4 5 →