A polynomial-time construction of self-orthogonal codes and applications to quantum error correction
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 2
New families of asymmetric quantum BCH codes
Quantum Information & Computation
Asymmetric quantum Reed-Solomon and generalized Reed-Solomon codes
Quantum Information Processing
On nonbinary quantum convolutional BCH codes
Quantum Information & Computation
Hermitian dual containing BCH codes and construction of new quantum codes
Quantum Information & Computation
Quantum Information Processing
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A method for concatenating quantum error-correcting codes is presented. The method is applicable to a wide class of quantum error-correcting codes known as Calderbank-Shor-Steane (CSS) codes. As a result, codes that achieve a high rate in the Shannon-theoretic sense and that are decodable in polynomial time are presented. The rate is the highest among those known to be achievable by CSS codes. Moreover, the best known lower bound on the greatest minimum distance of codes constructible in polynomial time is improved for a wide range.