Ring code

Description

Encodes \(K\) states (codewords) in \(n\) coordinates over a ring \(R\).

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Cousin

  • Group-based code — Group-based codes whose alphabet is based on the ring \(R\), taken to be an abelian group under addition, are codes over \(R\).
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Zoo code information

Internal code ID: rings_into_rings

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Zoo Code ID: rings_into_rings

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

Cite as:

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

Github: https://github.com/errorcorrectionzoo/eczoo_data/tree/main/codes/classical/rings/rings_into_rings.yml.