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Quantum
Information and Computation
ISSN: 1533-7146
published since 2001
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Vol.18 No.3&4 March 2018 |
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Constructing new
q-ary quantum MDS codes with distances bigger than q/2 from
generator matrices
(pp0223-0230)
Xianmang He
doi:
https://doi.org/10.26421/QIC18.3-4-3
Abstracts:
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.
Key words:
Quantum MDS code, Hermitian self-orthogonal code, Generalized
ReedSolomon code |
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