Quantum codes from codes over the ring \(\mathbb{F}_q + \alpha\mathbb{F}_q\)

DOI10.1007/S11128-019-2476-2OpenAlexW2982580348MaRDI QIDQ2677515

Murat Güzeltepe, Mustafa Sarı

Publication date: 5 January 2023

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

Full work available at URL: https://doi.org/10.1007/s11128-019-2476-2

zbMATH Keywords

cyclic codesquantum codesgray map

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Quantum coding (general) (81P70)

Related Items (7)

\(\mathbb{F}_qR\)-linear skew constacyclic codes and their application of constructing quantum codes ⋮ Constructions of quasi-twisted quantum codes ⋮ Quantum codes from codes over the ring \(R_q\) ⋮ New quantum codes from constacyclic codes over a non-chain ring ⋮ New quantum codes from skew constacyclic codes over a class of non-chain rings \(R_{e, q}\) ⋮ New quantum codes from constacyclic codes over the ring \(R_{k,m}\) ⋮ Good rate QECCs from the quantum construction \(X\)

Cites Work

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• On Quantum and Classical BCH Codes
• Theory of Quantum Error Correction for General Noise
• Nonbinary quantum codes
• Nonbinary quantum stabilizer codes
• Quantum error correction via codes over GF(4)

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