Description
True Galois-qudit stabilizer code constructed from \(q\)-ary duadic codes via the Hermitian construction or the Galois-qudit CSS construction.
Parent
- True Galois-qudit stabilizer code — Quantum duadic codes can be constructed via the CSS construction or the Hermitian construction.
Child
- Quantum quadratic-residue (QR) code — Quantum QR codes are quantum duadic codes since QR codes are duadic codes.
Cousins
- \(q\)-ary duadic code
- Galois-qudit CSS code — Quantum duadic codes can be constructed via the CSS construction or the Hermitian construction.
- Hermitian Galois-qudit code — Quantum duadic codes can be constructed via the CSS construction or the Hermitian construction.
References
- [1]
- S. A. Aly, A. Klappenecker, and P. K. Sarvepalli, “Remarkable Degenerate Quantum Stabilizer Codes Derived from Duadic Codes”, (2006) arXiv:quant-ph/0601117
- [2]
- K. Guenda, “Two Families of Quantum Codes Derived from Cyclic Codes”, (2007) arXiv:0711.2050
- [3]
- K. GUENDA, “QUANTUM DUADIC AND AFFINE-INVARIANT CODES”, International Journal of Quantum Information 07, 373 (2009) DOI
- [4]
- R. Dastbasteh and P. Lisonek, “New quantum codes from self-dual codes over F_4”, (2022) arXiv:2211.00891
Page edit log
- Victor V. Albert (2024-05-05) — most recent
Cite as:
“Quantum duadic code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/galois_duadic