scholarly journals Entanglement-assisted quantum MDS codes from generalized Reed–Solomon codes

2021 ◽  
Vol 20 (2) ◽  
Author(s):  
Renjie Jin ◽  
Yiran Cao ◽  
Jinquan Luo
Keyword(s):  
Mds Codes ◽  
Reed Solomon Codes ◽  
Quantum Mds Codes

Some new quantum MDS codes from generalized Reed–Solomon codes

2019 ◽  
Vol 342 (12) ◽  
pp. 111593 ◽  
Author(s):  
Fuyin Tian ◽  
Shixin Zhu
Keyword(s):  
Mds Codes ◽  
Reed Solomon Codes ◽  
Quantum Mds Codes

Entanglement-assisted quantum MDS codes from generalized Reed–Solomon codes

2019 ◽  
Vol 18 (5) ◽  
Author(s):  
Lanqiang Li ◽  
Shixin Zhu ◽  
Li Liu ◽  
Xiaoshan Kai
Keyword(s):  
Mds Codes ◽  
Reed Solomon Codes ◽  
Quantum Mds Codes

Constructing new q-ary quantum MDS codes with distances bigger than q/2 from generator matrices

2018 ◽  
Vol 18 (3&4) ◽  
pp. 223-230
Author(s):  
Xianmang He
Keyword(s):  
Information Theory ◽  
Quantum Information ◽  
Minimum Distance ◽  
Quantum Information Theory ◽  
Error Correcting Codes ◽  
Mds Codes ◽  
Quantum Error ◽  
Generator Matrices ◽  
Quantum Mds Codes

The construction of quantum error-correcting codes has been an active field of quantum information theory since the publication of \cite{Shor1995Scheme,Steane1998Enlargement,Laflamme1996Perfect}. It is becoming more and more difficult to construct some new quantum MDS codes with large minimum distance. In this paper, based on the approach developed in the paper \cite{NewHeMDS2016}, we construct several new classes of quantum MDS codes. The quantum MDS codes exhibited here have not been constructed before and the distance parameters are bigger than q/2.

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