QUANTUM CODES CONSTRUCTED FROM BINARY CYCLIC CODES

DOI10.1142/S0219749904000213zbMath1067.81014OpenAlexW2038865550MaRDI QIDQ4669675

Ruihu Li, Xue Liang Li

Publication date: 15 April 2005

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

Full work available at URL: https://doi.org/10.1142/s0219749904000213

zbMATH Keywords

quantum error-correcting codesCSS constructionSteane's constructionbinary cyclic codes

Mathematics Subject Classification ID

Quantum computation (81P68) Coding theorems (Shannon theory) (94A24)

Related Items (max. 100)

A construction of optimal nonbinary pure quantum stabilizer codes ⋮ NEW QUANTUM CODES CONSTRUCTED FROM A CLASS OF IMPRIMITIVE BCH CODES ⋮ On non-binary quantum repeated-root cyclic codes ⋮ QUANTUM ERROR-CORRECTING CODES FROM QUASI-CYCLIC CODES ⋮ A family of negacyclic BCH codes of length \(n=\frac{q^{2m}-1}{2} \) ⋮ A class of constacyclic BCH codes and new quantum codes ⋮ New quantum codes derived from a family of antiprimitive BCH codes ⋮ ON TWO PROBLEMS OF ASYMMETRIC QUANTUM CODES ⋮ New quantum codes from dual-containing cyclic codes over finite rings ⋮ QUATERNARY CONSTRUCTION OF QUANTUM CODES FROM CYCLIC CODES OVER $\mathbb{F}_4 + u\mathbb{F}_4$ ⋮ QUANTUM CODES FROM CYCLIC CODES OVER FINITE RING ⋮ COMBINATORIAL CONSTRUCTION OF LINEAR QUANTUM CODES FROM QUATERNARY BCH CODES ⋮ Quantum cyclic codes over \( \mathbb{Z}_m \) ⋮ Some new classes of quantum BCH codes

Cites Work

• Unnamed Item
• The minimum distance of all binary cyclic codes of odd lengths from 69 to 99
• Quantum twisted codes
• Error Correcting Codes in Quantum Theory
• Enlargement of Calderbank-Shor-Steane quantum codes
• Some good quantum error-correcting codes from algebraic-geometric codes
• Quantum error correction via codes over GF(4)
• Quantum Reed-Muller codes
• Cyclic self-dual codes
• On repeated-root cyclic codes

This page was built for publication: QUANTUM CODES CONSTRUCTED FROM BINARY CYCLIC CODES