Quantum Codes from the Cyclic Codes Over $$\mathbb {F}_{p}[v,w]/\langle v^{2}-1,w^{2}-1,vw-wv\rangle $$

2020 ◽  
pp. 67-74
Author(s):  
Habibul Islam ◽  
Om Prakash ◽  
Ram Krishna Verma
Keyword(s):  
Cyclic Codes ◽  
Quantum Codes

ON TWO PROBLEMS OF ASYMMETRIC QUANTUM CODES

2014 ◽  
Vol 28 (06) ◽  
pp. 1450017 ◽  
Author(s):  
RUIHU LI ◽  
GEN XU ◽  
LUOBIN GUO
Keyword(s):  
Cyclic Codes ◽  
Error Correcting Codes ◽  
Bch Code ◽  
Quantum Codes ◽  
Quantum Code ◽  
Asymmetric Quantum ◽  
Asymmetric Quantum Codes ◽  
Special Cases ◽  
Quantum Error ◽  
Better Than

In this paper, we discuss two problems on asymmetric quantum error-correcting codes (AQECCs). The first one is on the construction of a [[12, 1, 5/3]]2 asymmetric quantum code, we show an impure [[12, 1, 5/3 ]]2 exists. The second one is on the construction of AQECCs from binary cyclic codes, we construct many families of new asymmetric quantum codes with dz> δ max +1 from binary primitive cyclic codes of length n = 2m-1, where δ max = 2⌈m/2⌉-1 is the maximal designed distance of dual containing narrow sense BCH code of length n = 2m-1. A number of known codes are special cases of the codes given here. Some of these AQECCs have parameters better than the ones available in the literature.

scholarly journals New quantum codes from dual-containing cyclic codes over finite rings

2016 ◽  
Vol 15 (11) ◽  
pp. 4489-4500 ◽  
Author(s):  
Yongsheng Tang ◽  
Shixin Zhu ◽  
Xiaoshan Kai ◽  
Jian Ding
Keyword(s):  
Cyclic Codes ◽  
Quantum Codes ◽  
Finite Rings

New Non-Binary Quantum Codes from Cyclic Codes Over Product Rings

2020 ◽  
Vol 24 (3) ◽  
pp. 486-490 ◽  
Author(s):  
Tushar Bag ◽  
Hai Q. Dinh ◽  
Ashish Kumar Upadhyay ◽  
Woraphon Yamaka
Keyword(s):  
Cyclic Codes ◽  
Quantum Codes

scholarly journals Quantum Codes Constructed From Repeated-Root Cyclic Codes

2018 ◽  
Vol 1069 ◽  
pp. 012078
Author(s):  
Ruihu Li ◽  
Hao Song ◽  
Yuena Ma ◽  
Liangdong Lv
Keyword(s):  
Cyclic Codes ◽  
Quantum Codes

scholarly journals Quantum codes from cyclic codes over F3 + μF3 + υF3 + μυ F3

2016 ◽  
Vol 766 ◽  
pp. 012020 ◽  
Author(s):  
Mehmet Özen ◽  
N. Tuğba Özzaim ◽  
Halit İnce
Keyword(s):  
Cyclic Codes ◽  
Quantum Codes

scholarly journals QUANTUM CODES FROM CYCLIC CODES OVER F4+ vF4

2016 ◽  
Vol 34 (5_6) ◽  
pp. 397-404
Author(s):  
MEHMET OZEN ◽  
FAIK CEM ERTUNC ◽  
HALIT INCE
Keyword(s):  
Cyclic Codes ◽  
Quantum Codes

scholarly journals New Binary Quantum Codes Derived From One-Generator Quasi-Cyclic Codes

IEEE Access ◽  
2019 ◽  
Vol 7 ◽  
pp. 85782-85785 ◽  
Author(s):  
Jingjie Lv ◽  
Ruihu Li ◽  
Junli Wang
Keyword(s):  
Cyclic Codes ◽  
Quantum Codes ◽  
Quasi Cyclic Codes
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