Quantum codes from nearly self-orthogonal quaternary linear codes

DOI10.1007/s10623-014-9934-8zbMath1315.94125OpenAlexW1979275900MaRDI QIDQ398946

Petr Lisoněk, Vijaykumar Singh

Publication date: 18 August 2014

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-014-9934-8

zbMATH Keywords

construction Xquantum error-correcting codebinary stabilizer quantum error control codeslower bounds on the minimum distance of quantum codesquaternary linear code

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Bounds on codes (94B65) Cyclic codes (94B15) Quantum coding (general) (81P70)

Related Items (9)

Extending Construction X for Quantum Error-Correcting Codes ⋮ Quantum error-correcting codes from the quantum construction \(X\) ⋮ On the equivalence of linear cyclic and constacyclic codes ⋮ Constructions of quasi-twisted quantum codes ⋮ Constructions of good entanglement-assisted quantum error correcting codes ⋮ New quantum codes from self-dual codes over \(\mathbb{F}_4\) ⋮ Hulls of constacyclic codes over finite non-chain rings and their applications in quantum codes construction ⋮ Constructing quantum error-correcting codes that require a variable amount of entanglement ⋮ Good rate QECCs from the quantum construction \(X\)

Uses Software

• Magma

Cites Work

• The Magma algebra system. I: The user language
• Quantum error correction via codes over GF(4)
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