Constructing new q-ary quantum MDS codes with distances bigger than q/2 from generator matrices
Keyword(s):
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.
2004 ◽
Vol 02
(01)
◽
pp. 55-64
◽
2019 ◽
Vol 17
(03)
◽
pp. 1950022
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Keyword(s):