Hulls of Generalized Reed-Solomon Codes via Goppa Codes and Their Applications to Quantum Codes

DOI10.1109/TIT.2021.3074526zbMath1487.94189OpenAlexW3155044924MaRDI QIDQ5032523

Xinmei Huang, Jun Zhang, Yanyan Gao, Qin Yue

Publication date: 17 February 2022

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tit.2021.3074526

Mathematics Subject Classification ID

Other types of codes (94B60)

Related Items (10)

MDS and near-MDS codes via twisted Reed-Solomon codes ⋮ New Galois hulls of generalized Reed-Solomon codes ⋮ Fractional decoding of \(r\)-Hermitian codes ⋮ Two classes of cyclic extended double-error-correcting Goppa codes ⋮ Construction of quantum MDS codes from generalized Reed–Solomon codes ⋮ New MDS entanglement-assisted quantum codes from MDS Hermitian self-orthogonal codes ⋮ Galois hulls of special Goppa codes and related codes with application to EAQECCs ⋮ Hermitian hulls of constacyclic codes and a new family of entanglement-assisted quantum MDS codes ⋮ On the constructions of entanglement-assisted quantum MDS codes ⋮ Some new families of entanglement-assisted quantum MDS codes derived from negacyclic codes

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