IEEE Transactions on Information Theory
Generalization of Steane's enlargement construction of quantum codes and applications
IEEE Transactions on Information Theory
Application of classical hermitian self-orthogonal MDS codes to quantum MDS codes
IEEE Transactions on Information Theory
New families of asymmetric quantum BCH codes
Quantum Information & Computation
On the iterative decoding of sparse quantum codes
Quantum Information & Computation
Network protection codes: Providing self-healing in autonomic networks using network coding
Computer Networks: The International Journal of Computer and Telecommunications Networking
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
| Hi-index | 755.02 |
Classical Bose-Chaudhuri-Hocquenghem (BCH) codes that contain their (Euclidean or Hermitian) dual codes can be used to construct quantum stabilizer codes; this correspondence studies the properties of such codes. It is shown that a BCH code of length n can contain its dual code only if its designed distance delta=O(radicn), and the converse is proved in the case of narrow-sense codes. Furthermore, the dimension of narrow-sense BCH codes with small design distance is completely determined, and - consequently - the bounds on their minimum distance are improved. These results make it possible to determine the parameters of quantum BCH codes in terms of their design parameters