A Group-Theoretic Framework for the Construction of Packings in Grassmannian Spaces
Journal of Algebraic Combinatorics: An International Journal
The Invariants of the Clifford Groups
Designs, Codes and Cryptography
Quantum Codes and Abelian Subgroups of the Extra-Special Group
Problems of Information Transmission
Error-correcting codes from graphs
Discrete Mathematics - Kleitman and combinatorics: a celebration
Quantum Convolutional Error Correction Codes
QCQC '98 Selected papers from the First NASA International Conference on Quantum Computing and Quantum Communications
On the Existence of Nonadditive Quantum Codes
QCQC '98 Selected papers from the First NASA International Conference on Quantum Computing and Quantum Communications
Fault-Tolerant Quantum Computation with Higher-Dimensional Systems
QCQC '98 Selected papers from the First NASA International Conference on Quantum Computing and Quantum Communications
AAECC-13 Proceedings of the 13th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
Self-dual Codes-Theme and Variations
AAECC-14 Proceedings of the 14th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
A New Class of Designs Which Protect against Quantum Jumps
Designs, Codes and Cryptography
Designs in Additive Codes over GF(4)
Designs, Codes and Cryptography
Euclidean and hermitian self-dual MDS codes over large finite fields
Journal of Combinatorial Theory Series A
Symmetric (4, 4)-nets and generalized Hadamard matrices over groups of order 4
Designs, Codes and Cryptography
Aperiodic propagation criteria for Boolean functions
Information and Computation
On the classification of all self-dual additive codes over GF(4) of length up to 12
Journal of Combinatorial Theory Series A
Cyclic codes over the rings Z2 + uZ2 and Z2 + uZ2 + u2Z2
Designs, Codes and Cryptography
Nonbinary Quantum Goppa Codes Exceeding the Quantum Gilbert-Varshamov Bound
Quantum Information Processing
The finite Heisenberg-Weyl groups in radar and communications
EURASIP Journal on Applied Signal Processing
A new approach to constructing CSS codes based on factor graphs
Information Sciences: an International Journal
From graph states to two-graph states
Designs, Codes and Cryptography
Edge local complementation and equivalence of binary linear codes
Designs, Codes and Cryptography
Cyclic Additive and Quantum Stabilizer Codes
WAIFI '07 Proceedings of the 1st international workshop on Arithmetic of Finite Fields
Close Encounters with Boolean Functions of Three Different Kinds
ICMCTA '08 Proceedings of the 2nd international Castle meeting on Coding Theory and Applications
Abstract error groups via Jones unitary braid group representations at q = i
Quantum Information Processing
An Efficient Quantum Algorithm for the Hidden Subgroup Problem over Weyl-Heisenberg Groups
Mathematical Methods in Computer Science
A generalized Gleason---Pierce---Ward theorem
Designs, Codes and Cryptography
A survey on spherical designs and algebraic combinatorics on spheres
European Journal of Combinatorics
Fast quantum codes based on Pauli block jacket matrices
Quantum Information Processing
Protecting quantum information with entanglement and noisy optical modes
Quantum Information Processing
A geometric non-existence proof of an extremal additive code
Journal of Combinatorial Theory Series A
Codeword stabilized quantum codes
IEEE Transactions on Information Theory
A family of asymptotically good quantum codes based on code concatenation
IEEE Transactions on Information Theory
Quantum error correction via codes over GF (2)
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 2
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 decoding algorithms for a class of subsystem codes and generalized Shor codes
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
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 2
Aperiodic propagation criteria for Boolean functions
Information and Computation
Interlace polynomials: Enumeration, unimodality and connections to codes
Discrete Applied Mathematics
Cyclic double struck capital Fq-linear double struck capital Fqt-codes
International Journal of Information and Coding Theory
An efficient quantum algorithm for the hidden subgroup problem in extraspecial groups
STACS'07 Proceedings of the 24th annual conference on Theoretical aspects of computer science
New results on s-extremal additive codes over GF(4)
International Journal of Information and Coding Theory
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
Formally self-dual additive codes over F4
Journal of Symbolic Computation
Efficient quantum stabilizer codes: LDPC and LDPC-convolutional constructions
IEEE Transactions on Information Theory
Asymmetric quantum codes: characterization and constructions
IEEE Transactions on Information Theory
On quantum information and the protection by quantum codes
Proceedings of the 11th International Conference on Computer Systems and Technologies and Workshop for PhD Students in Computing on International Conference on Computer Systems and Technologies
IEEE Journal on Selected Areas in Communications - Special issue on simple wireless sensor networking solutions
Volume thresholds for quantum fault tolerance
Quantum Information Processing
Quantum convolutional coding with shared entanglement: general structure
Quantum Information Processing
Quantum codes based on fast pauli block transforms in the finite field
Quantum Information Processing
Nonlocal quantum information in bipartite quantum error correction
Quantum Information Processing
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
Directed graph representation of half-rate additive codes over GF(4)
Designs, Codes and Cryptography
Extraspecial two-groups, generalized yang-baxter equations and braiding quantum gates
Quantum Information & Computation
New families of asymmetric quantum BCH codes
Quantum Information & Computation
Universal simulation of Hamiltonians using a finite set of control operations
Quantum Information & Computation
On steane's enlargement of calderbank-shor-steane 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
Cluster states, algorithms and graphs
Quantum Information & Computation
Homological invariants of stabilizer states
Quantum Information & Computation
Variations on encoding circuits for stabilizer quantum codes
IWCC'11 Proceedings of the Third international conference on Coding and cryptology
Design of on-line clock jitter fault detection circuit for time-error-tolerant system
WSEAS TRANSACTIONS on SYSTEMS
One and two-variable interlace polynomials: a spectral interpretation
WCC'05 Proceedings of the 2005 international conference on Coding and Cryptography
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
Univariate and multivariate merit factors
SETA'04 Proceedings of the Third international conference on Sequences and Their Applications
SETA'04 Proceedings of the Third international conference on Sequences and Their Applications
Asymmetric quantum Reed-Solomon and generalized Reed-Solomon codes
Quantum Information Processing
Quantum McEliece public-key cryptosystem
Quantum Information & Computation
On the classification and enumeration of self-dual codes
Finite Fields and Their Applications
On the construction of stabilizer codes with an arbitrary binary matrix
Quantum Information Processing
A class of quantum low-density parity check codes by combining seed graphs
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
Efficient quantum communication under collective noise
Quantum Information & Computation
Asymmetric quantum codes: new codes from old
Quantum Information Processing
Additive semisimple multivariable codes over F4
Designs, Codes and Cryptography
Upper bounds on the rate of low density stabilizer codes for the quantum erasure channel
Quantum Information & Computation
Quantum Information Processing
Dualities and identities for entanglement-assisted quantum codes
Quantum Information Processing
| Hi-index | 755.32 |
The problem of finding quantum error correcting codes is transformed into the problem of finding additive codes over the field GF(4) which are self-orthogonal with respect to a certain trace inner product. Many new codes and new bounds are presented, as well as a table of upper and lower bounds on such codes of length up to 30 qubits