Self-orthogonal codes with dual distance three and quantum codes with distance three over \(\mathbb F_5\)

DOI10.1007/s11128-013-0620-yzbMath1303.81050OpenAlexW2052132265MaRDI QIDQ479347

Fangchi Liang

Publication date: 5 December 2014

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

Full work available at URL: https://doi.org/10.1007/s11128-013-0620-y

zbMATH Keywords

quantum codeself-orthogonal codeCSS constructionSteane construction

Mathematics Subject Classification ID

Quantum computation (81P68) Quantum algorithms and complexity in the theory of computing (68Q12)

Related Items (2)

Three classes of optimal Hermitian dual-containing codes and quantum codes ⋮ Linear codes resulting from finite group actions

Cites Work

• Self-dual codes over GF(5)
• On the classification of self-dual codes over \(\mathbb F_5\)
• Binary Construction of Quantum Codes of Minimum Distance Three and Four
• Nonbinary Stabilizer Codes Over Finite Fields
• Concatenated Quantum Codes Constructible in Polynomial Time: Efficient Decoding and Error Correction
• Fundamentals of Error-Correcting Codes
• Error Correcting Codes in Quantum Theory
• Quantum Error Correction and Orthogonal Geometry
• Nonbinary quantum codes
• Enlargement of Calderbank-Shor-Steane quantum codes
• Nonbinary quantum stabilizer codes
• ON OPTIMAL QUANTUM CODES
• Quantum codes 6, 2, 3/sub p/ and 7, 3, 3/sub p/ (p ≥ 3) exist
• Quantum error correction via codes over GF(4)
• All the Stabilizer Codes of Distance 3
• Mixed-state entanglement and quantum error correction

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