Construction of some new entanglement-assisted quantum error-correcting codes of large lengths
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Publication:6494948
DOI10.1016/J.DISC.2024.113969MaRDI QIDQ6494948
Publication date: 30 April 2024
Published in: Discrete Mathematics (Search for Journal in Brave)
matrix-product codesentanglement-assisted quantum error-correcting codes (EAQECCs)Hermitian linear complementary dual (LCD) codesnon-singular by columns (NSC) quasi-unitary matrices
Linear codes (general theory) (94B05) Computational stability and error-correcting codes for quantum computation and communication processing (81P73)
Cites Work
- Constructions of new entanglement-assisted quantum MDS and almost MDS codes
- Construction and decoding of matrix-product codes from nested codes
- Linear codes with complementary duals
- Note on Niederreiter-Xing's propagation rule for linear codes
- New entanglement-assisted quantum codes from \(k\)-Galois dual codes
- Euclidean and Hermitian LCD MDS codes
- A new family of EAQMDS codes constructed from constacyclic codes
- Homogeneous metric and matrix product codes over finite commutative principal ideal rings
- New Galois hulls of GRS codes and application to EAQECCs
- Galois hulls of linear codes over finite fields
- Matrix product codes over finite commutative Frobenius rings
- Entanglement-assisted quantum error-correcting codes from RS codes and BCH codes with extension degree 2
- Galois hulls of special Goppa codes and related codes with application to EAQECCs
- Catalytic Quantum Error Correction
- A Construction of New Quantum MDS Codes
- On the Construction of Nonbinary Quantum BCH Codes
- Duality in Entanglement-Assisted Quantum Error Correction
- New Quantum MDS Codes From Negacyclic Codes
- Correcting Quantum Errors with Entanglement
- Multiple-particle interference and quantum error correction
- Nonbinary Stabilizer Codes Over Finite Fields
- On Quantum and Classical BCH Codes
- A Resource Framework for Quantum Shannon Theory
- Nonbinary quantum codes
- Nonbinary quantum stabilizer codes
- ON OPTIMAL QUANTUM CODES
- Quantum error correction via codes over GF(4)
- Entanglement-Assisted Quantum Codes From Algebraic Geometry Codes
- MDS Codes With Galois Hulls of Arbitrary Dimensions and the Related Entanglement-Assisted Quantum Error Correction
- Entropic Proofs of Singleton Bounds for Quantum Error-Correcting Codes
- On Linear Codes With One-Dimensional Euclidean Hull and Their Applications to EAQECCs
- Euclidean and Hermitian Hulls of MDS Codes and Their Applications to EAQECCs
- MDS Codes With Hulls of Arbitrary Dimensions and Their Quantum Error Correction
- Entanglement-Assisted Quantum Turbo Codes
- A new construction of quantum error-correcting codes
- Matrix-product codes over \(\mathbb{F}_q\)
- MDS codes with euclidean and Hermitian hulls of flexible dimensions and their applications to EAQECCs
- New MDS EAQECCs derived from constacyclic codes over \(\mathbb{F}_{q^2} + v \mathbb{F}_{q^2}\)
- On the Hull-Variation Problem of Equivalent Linear Codes
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