An open problem of \(k\)-Galois hulls and its application

DOI10.1016/j.disc.2023.113361OpenAlexW4319659424MaRDI QIDQ2699929

Yanyan Li

Publication date: 20 April 2023

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2023.113361

zbMATH Keywords

rank of a matrix\(k\)-Galois hull of a linear codeMDS EAQECC

Mathematics Subject Classification ID

Theory of error-correcting codes and error-detecting codes (94Bxx) Foundations, quantum information and its processing, quantum axioms, and philosophy (81Pxx) Finite fields and commutative rings (number-theoretic aspects) (11Txx)

Related Items (1)

Linear codes of larger lengths with Galois hulls of arbitrary dimensions and related entanglement-assisted quantum error-correcting codes

Cites Work

• New entanglement-assisted quantum codes from \(k\)-Galois dual codes
• Galois LCD codes over finite fields
• Galois hulls of linear codes over finite fields
• Galois self-dual constacyclic codes
• New quantum codes from two linear codes
• New EAQEC codes constructed from Galois LCD codes
• Duality in Entanglement-Assisted Quantum Error Correction
• Correcting Quantum Errors with Entanglement

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