QUANTUM ERROR-CORRECTING CODES FROM QUASI-CYCLIC CODES

DOI10.1142/S0219749908004444zbMath1165.81317OpenAlexW1971788300MaRDI QIDQ5322532

Xinmei Wang, Wen-Ping Ma, Jian-Fa Qian

Publication date: 21 July 2009

Published in: International Journal of Quantum Information (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219749908004444

zbMATH Keywords

cyclic codeself-orthogonal codequasi-cyclic codequantum error-correcting codeself-dual basis

Mathematics Subject Classification ID

Quantum computation (81P68) Theory of error-correcting codes and error-detecting codes (94B99)

Related Items (5)

Quasi-cyclic constructions of quantum codes ⋮ A new construction of quantum codes from quasi-cyclic codes over finite fields ⋮ New quantum codes from dual-containing cyclic codes over finite rings ⋮ Quantum codes derived from one-generator quasi-cyclic codes with Hermitian inner product ⋮ Quantum codes from \(\mathbb{Z}_2\mathbb{Z}_2[u/\langle u^4 \rangle \)-cyclic codes]

Cites Work

• Structural properties and enumeration of quasi cyclic codes
• Cyclic quantum error–correcting codes and quantum shift registers
• A Class of 1-Generator Quasi-Cyclic Codes
• Nonbinary Stabilizer Codes Over Finite Fields
• On Quantum and Classical BCH Codes
• Factorization of Symmetric Matrices and Trace-Orthogonal Bases in Finite Fields
• Quantum twisted codes
• New ternary quasi-cyclic codes with better minimum distances
• QUANTUM CODES CONSTRUCTED FROM BINARY CYCLIC CODES
• Quantum error correction via codes over GF(4)

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