Two new classes of Hermitian self-orthogonal non-GRS MDS codes and their applications

DOI10.3934/amc.2022070zbMath1521.94122MaRDI QIDQ6112197

Xiwang Cao, San Ling, Martianus Frederic Ezerman, Gaojun Luo

Publication date: 7 July 2023

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

zbMATH Keywords

quantum MDS codelinear complementary dual codetwisted generalized Reed-Solomon codeHermitian orthogonality

Mathematics Subject Classification ID

Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Applications to coding theory and cryptography of arithmetic geometry (14G50) Computational stability and error-correcting codes for quantum computation and communication processing (81P73)

Cites Work

• Unnamed Item
• Complementary dual codes for counter-measures to side-channel attacks
• New \(q\)-ary quantum MDS codes with distances bigger than \(\frac{q}{2}\)
• Quantum MDS codes with large minimum distance
• Some constructions of quantum MDS codes
• Two new classes of quantum MDS codes
• On the construction of quantum MDS codes
• Construction of MDS twisted Reed-Solomon codes and LCD MDS codes
• MDS or NMDS self-dual codes from twisted generalized Reed-Solomon codes
• New quantum MDS codes derived from constacyclic codes
• Application of Hermitian self-orthogonal GRS codes to some quantum MDS codes
• Construction of some new quantum MDS codes
• Quantum MDS codes with relatively large minimum distance from Hermitian self-orthogonal codes
• New quantum MDS codes with large minimum distance and short length from generalized Reed-Solomon codes
• New quantum MDS codes over finite fields
• New quantum MDS codes
• Application of Constacyclic Codes to Quantum MDS Codes
• A Construction of New Quantum MDS Codes
• Constacyclic Codes and Some New Quantum MDS Codes
• New Quantum MDS Codes From Negacyclic Codes
• Correcting Quantum Errors with Entanglement
• Nonbinary Stabilizer Codes Over Finite Fields
• A construction of non-Reed-Solomon type MDS codes
• Nonbinary quantum codes
• Nonbinary quantum stabilizer codes
• ON OPTIMAL QUANTUM CODES
• Quantum error correction via codes over GF(4)
• New LCD MDS Codes of Non-Reed-Solomon Type
• Twisted Reed–Solomon Codes
• Some New Constructions of Quantum MDS Codes
• Application of Classical Hermitian Self-Orthogonal MDS Codes to Quantum MDS Codes
• Secure Computation from Random Error Correcting Codes

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