Application of GRS codes to some entanglement-assisted quantum MDS codes

DOI10.1007/s11128-022-03443-7OpenAlexW4283386130MaRDI QIDQ2107025

Guo-hui Wang, Chun-Ming Tang

Publication date: 29 November 2022

Published in: Quantum Information Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11128-022-03443-7

zbMATH Keywords

MDS codegeneralized Reed-Solomon codequantum error-correcting codeentanglement-assisted quantum

Mathematics Subject Classification ID

Quantum coding (general) (81P70) Computational stability and error-correcting codes for quantum computation and communication processing (81P73)

Related Items (7)

MDS codes with euclidean and Hermitian hulls of flexible dimensions and their applications to EAQECCs ⋮ New entanglement-assisted quantum constacyclic codes ⋮ A class of constacyclic codes are generalized Reed-Solomon codes ⋮ New MDS EAQECCs derived from constacyclic codes over \(\mathbb{F}_{q^2} + v \mathbb{F}_{q^2}\) ⋮ New MDS EAQECCs from constacyclic codes over finite non-chain rings ⋮ Several new families of MDS EAQECCs with much larger dimensions and related application to EACQCs ⋮ Some entanglement-assisted quantum MDS codes with large minimum distance

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