Dodecacode[1][2]

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

References

[1]
A. R. Calderbank et al., “Quantum Error Correction via Codes over GF(4)”. quant-ph/9608006
[2]
Gerald Hoehn, “Self-dual Codes over the Kleinian Four Group”. math/0005266
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Zoo code information

Internal code ID: dodecacode

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Zoo Code ID: dodecacode

Cite as:
“Dodecacode”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/dodecacode
BibTeX:
@incollection{eczoo_dodecacode, title={Dodecacode}, booktitle={The Error Correction Zoo}, year={2022}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/dodecacode} }
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Permanent link:
https://errorcorrectionzoo.org/c/dodecacode

Cite as:

“Dodecacode”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/dodecacode

Github: https://github.com/errorcorrectionzoo/eczoo_data/tree/main/codes/classical/q-ary_digits/small/dodecacode.yml.