Optimal quantum codes from additive skew cyclic codes

DOI10.1142/S1793830916500373zbMath1404.94140MaRDI QIDQ2821100

Nuh Aydin, Taher Abualrub

Publication date: 16 September 2016

Published in: Discrete Mathematics, Algorithms and Applications (Search for Journal in Brave)

zbMATH Keywords

additive codesskew cyclic codesquantum codesbest-known codes

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Cyclic codes (94B15) Quantum coding (general) (81P70)

Related Items (7)

\(\mathbb{F}_q\)-linear skew cyclic codes over \(\mathbb{F}_{q^2}\) and their applications of quantum codes construction ⋮ \(\mathbb{F}_qR\)-linear skew constacyclic codes and their application of constructing quantum codes ⋮ New quantum codes from constacyclic and additive constacyclic codes ⋮ Additive skew \(G\)-codes over finite fields ⋮ Self-dual cyclic and quantum codes over ℤ2 × (ℤ2 + uℤ2) ⋮ Self-dual additive codes ⋮ Maximal entanglement-assisted quantum error correction codes from the skew group ring \(\mathbb{F}_4\rtimes_\varphi G\) by a heuristic search scheme

Uses Software

• Code Tables

Cites Work

• Unnamed Item
• Skew cyclic codes of arbitrary length
• From skew-cyclic codes to asymmetric quantum codes
• Skew-cyclic codes
• Quantum error correction via codes over GF(4)
• On the Construction of Skew Quasi-Cyclic Codes

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