Euclidean and hermitian self-dual MDS codes over large finite fields
Journal of Combinatorial Theory Series A
Nonbinary Quantum Goppa Codes Exceeding the Quantum Gilbert-Varshamov Bound
Quantum Information Processing
Cyclic Additive and Quantum Stabilizer Codes
WAIFI '07 Proceedings of the 1st international workshop on Arithmetic of Finite Fields
Classic and Quantum Error Correcting Codes
ICMCTA '08 Proceedings of the 2nd international Castle meeting on Coding Theory and Applications
A family of asymptotically good quantum codes based on code concatenation
IEEE Transactions on Information Theory
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
Generalized concatenation for quantum codes
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 2
Unitary error bases: constructions, equivalence, and applications
AAECC'03 Proceedings of the 15th international conference on Applied algebra, algebraic algorithms and error-correcting codes
Efficient quantum stabilizer codes: LDPC and LDPC-convolutional constructions
IEEE Transactions on Information Theory
Generalization of Steane's enlargement construction of quantum codes and applications
IEEE Transactions on Information Theory
On a problem concerning the quantum hamming bound for impure quantum codes
IEEE Transactions on Information Theory
Application of classical hermitian self-orthogonal MDS codes to quantum MDS codes
IEEE Transactions on Information Theory
Grassmannian packings from operator Reed-Muller codes
IEEE Transactions on Information Theory
Quantum Information Processing
New families of asymmetric quantum BCH codes
Quantum Information & Computation
Stabilizer codes can be realized as graph codes
Quantum Information & Computation
On the structure of nonstabilizer clifford codes
Quantum Information & Computation
Variations on encoding circuits for stabilizer quantum codes
IWCC'11 Proceedings of the Third international conference on Coding and cryptology
Nonbinary quantum codes from hermitian curves
AAECC'06 Proceedings of the 16th international conference on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
On non-binary quantum BCH codes
TAMC'06 Proceedings of the Third international conference on Theory and Applications of Models of Computation
Asymmetric quantum Reed-Solomon and generalized Reed-Solomon codes
Quantum Information Processing
Quantum codes from codes over Gaussian integers with respect to the Mannheim metric
Quantum Information & Computation
On nonbinary quantum convolutional BCH codes
Quantum Information & Computation
Hermitian dual containing BCH codes and construction of new quantum codes
Quantum Information & Computation
Asymmetric quantum codes: new codes from old
Quantum Information Processing
Quantum Information Processing
| Hi-index | 755.20 |
We define and show how to construct nonbinary quantum stabilizer codes. Our approach is based on nonbinary error bases. It generalizes the relationship between self-orthogonal codes over F4 and binary quantum codes to one between self-orthogonal codes over F(q2 ) and q-ary quantum codes for any prime power q