New Galois hulls of GRS codes and application to EAQECCs

DOI10.1007/s12095-021-00525-8OpenAlexW3198830274MaRDI QIDQ2130034

Renjie Jin, Wen Ma, Jinquan Luo, Xiaolei Fang

Publication date: 25 April 2022

Published in: Cryptography and Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.14061

zbMATH Keywords

MDS codeentanglement-assisted quantum error-correcting code (EAQECC)generalized Reed-Solomon (GRS) codeGalois hull

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Finite fields (field-theoretic aspects) (12E20) Quantum coherence, entanglement, quantum correlations (81P40) Quantum coding (general) (81P70)

Related Items (6)

New Galois hulls of generalized Reed-Solomon codes ⋮ On MDS codes with Galois hulls of arbitrary dimensions ⋮ Several classes of Galois self-orthogonal MDS codes and related applications ⋮ Several new families of MDS EAQECCs with much larger dimensions and related application to EACQCs ⋮ Linear codes of larger lengths with Galois hulls of arbitrary dimensions and related entanglement-assisted quantum error-correcting codes ⋮ Galois hulls of special Goppa codes and related codes with application to EAQECCs

Cites Work

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• Two new families of entanglement-assisted quantum MDS codes from generalized Reed-Solomon codes
• Constructions of good entanglement-assisted quantum error correcting codes
• A note on the constructions of MDS self-dual codes
• Euclidean and Hermitian LCD MDS codes
• On Euclidean hulls of MDS codes
• Galois self-dual constacyclic codes
• Correcting Quantum Errors with Entanglement
• Complementary Dual Codes for Counter-Measures to Side-Channel Attacks
• Linear Programming Bounds for Entanglement-Assisted Quantum Error-Correcting Codes by Split Weight Enumerators
• On lowest density MDS codes
• Construction of MDS Euclidean Self-Dual Codes via Two Subsets
• Euclidean and Hermitian Hulls of MDS Codes and Their Applications to EAQECCs
• New MDS Euclidean Self-Orthogonal Codes
• MDS Codes With Hulls of Arbitrary Dimensions and Their Quantum Error Correction
• New MDS Self-Dual Codes From Generalized Reed—Solomon Codes
• Exact-Repair MDS Code Construction Using Interference Alignment

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