An application of constacyclic codes to entanglement-assisted quantum MDS codes
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Publication:2322465
DOI10.1007/s40314-019-0837-1zbMath1438.94069OpenAlexW2942328110WikidataQ128149375 ScholiaQ128149375MaRDI QIDQ2322465
Publication date: 4 September 2019
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-019-0837-1
Linear codes (general theory) (94B05) Cyclic codes (94B15) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum coding (general) (81P70)
Related Items (19)
New EAQEC codes constructed from Galois LCD codes ⋮ Entanglement-assisted quantum MDS codes from cyclic codes ⋮ New entanglement-assisted quantum constacyclic codes ⋮ Steane enlargement of entanglement-assisted quantum error-correcting codes ⋮ Some construction of entanglement-assisted quantum MDS codes ⋮ New entanglement-assisted quantum MDS codes with larger minimum distance ⋮ Some new entanglement-assisted quantum error-correcting MDS codes from generalized Reed-Solomon codes ⋮ New MDS EAQECCs from constacyclic codes over finite non-chain rings ⋮ Three classes of new EAQEC MDS codes ⋮ Two families of entanglement-assisted quantum codes constructed from cyclic codes ⋮ Entanglement-assisted quantum error-correcting codes from RS codes and BCH codes with extension degree 2 ⋮ Some new entanglement-assisted quantum error-correcting MDS codes with length \(\frac{q^2+1}{13} \) ⋮ New entanglement-assisted quantum MDS codes derived from generalized Reed-Solomon codes ⋮ On the constructions of entanglement-assisted quantum MDS codes ⋮ Three new classes of entanglement-assisted quantum MDS codes from cyclic codes ⋮ Some new families of entanglement-assisted quantum MDS codes derived from negacyclic codes ⋮ Construction of new entanglement-assisted quantum MDS codes via cyclic codes ⋮ Entanglement-assisted quantum error correction codes with length \(n=q^2+1\) ⋮ Hermitian hulls of constacyclic codes and their applications to quantum codes
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