Description
True Galois-qudit stabilizer code constructed from \(q\)-ary duadic codes via the Hermitian construction or the Galois-qudit CSS construction.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.
Member of code lists
Primary Hierarchy
Parents
Quantum duadic codes can be constructed via the CSS construction or the Hermitian construction.
Quantum duadic code
Children
Quantum QR codes are quantum duadic codes since QR codes are duadic codes.
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