Nonbinary Quantum Goppa Codes Exceeding the Quantum Gilbert-Varshamov Bound
Quantum Information Processing
Quantum error-correction codes based on multilevel constructions of hadamard matrices
ICIC'07 Proceedings of the intelligent computing 3rd international conference on Advanced intelligent computing theories and applications
Asymmetric quantum Reed-Solomon and generalized Reed-Solomon codes
Quantum Information Processing
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It is shown that quantum error correction can be achieved by the use of classical binary codes or additive codes over F4. In this correspondence, with the help of some algebraic techniques the theory of algebraic-geometric codes is used to construct an asymptotically good family of quantum error-correcting codes and other classes of good quantum error-correcting codes. Our results are compared with the known best quantum codes