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New quantum codes from Hermitian dual-containing codes. (English) Zbl 1412.81114

Summary: Hermitian dual-containing codes play an important role in the constructing quantum codes. In this paper, we present a new criterion of Hermitian dual-containing code based on the rank of generator matrix for a linear code. Then, using the criterion, we construct a class of new quantum maximum-distance-separable (MDS) codes and some new quantum codes.

MSC:

81P70 Quantum coding (general)
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