Description
Self-dual \([12,6,6]_{GF(4)}\) code whose codewords are cyclic permutations of \((\omega 10100100101)\), where \(GF(4)=\{0,1,\omega,\bar{\omega}\}\).
Parent
Cousin
- Dual linear code — The dodecacode is self-dual.
References
- [1]
- A. R. Calderbank et al., “Quantum Error Correction via Codes over GF(4)”, (1997) arXiv:quant-ph/9608006
- [2]
- G. Hoehn, “Self-dual Codes over the Kleinian Four Group”, (2000) arXiv:math/0005266
Page edit log
- Victor V. Albert (2022-08-11) — most recent
Cite as:
“Dodecacode”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/dodecacode