Asymmetric Quantum Codes of Large Z - Distance Constructed from a Class of Quaternary Imprimitive BCH Codes

2015 ◽  
Author(s):  
Ruihu Li ◽  
Gen Xu ◽  
Qiang Fu ◽  
Fei Zuo
Keyword(s):  
Bch Codes ◽  
Quantum Codes ◽  
Asymmetric Quantum ◽  
Asymmetric 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.

New asymmetric quantum codes over $$F_{q}$$ F q

2016 ◽  
Vol 15 (7) ◽  
pp. 2759-2769 ◽  
Author(s):  
Yuena Ma ◽  
Xiaoyi Feng ◽  
Gen Xu
Keyword(s):  
Quantum Codes ◽  
Asymmetric Quantum ◽  
Asymmetric Quantum Codes

scholarly journals Additive Asymmetric Quantum Codes

2011 ◽  
Vol 57 (8) ◽  
pp. 5536-5550 ◽  
Author(s):  
Martianus Frederic Ezerman ◽  
San Ling ◽  
Patrick Sole
Keyword(s):  
Quantum Codes ◽  
Asymmetric Quantum ◽  
Asymmetric Quantum Codes

scholarly journals Xing–Ling codes, duals of their subcodes, and good asymmetric quantum codes

2013 ◽  
Vol 75 (1) ◽  
pp. 21-42 ◽  
Author(s):  
Martianus Frederic Ezerman ◽  
Somphong Jitman ◽  
Patrick Solé
Keyword(s):  
Quantum Codes ◽  
Asymmetric Quantum ◽  
Asymmetric Quantum Codes

New families of asymmetric quantum BCH codes

2011 ◽  
Vol 11 (3&4) ◽  
pp. 239-252
Author(s):  
Giuliano G. La Guardia
Keyword(s):  
Phase Shift ◽  
Quantum Systems ◽  
Bch Codes ◽  
Quantum Codes ◽  
Asymmetric Quantum ◽  
The Asymmetry ◽  
Better Than

Several families of nonbinary asymmetric quantum Bose-Chaudhuri-Hocquenghem (BCH) codes are presented in this paper. These quantum codes have parameters better than the ones available in the literature. Additionally, such codes can be applied in quantum systems where the asymmetry between qudit-flip and phase-shift errors is large.

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