Cartier code[1]

Description

Subcode of a certain residue AG code that is constructed using the Cartier operator.

Rate

Cartier codes share similar asymptotic properties as subfield subcodes of residue AG codes, with both families admitting sequences of codes that achieve the Gilbert-Varshamov bound.

Parent

Child

References

[1]
A. Couvreur, “Codes and the Cartier Operator”, (2012) arXiv:1206.4728
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Zoo Code ID: cartier

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

Cite as:

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

Github: https://github.com/errorcorrectionzoo/eczoo_data/tree/main/codes/classical/q-ary_digits/ag/residueAG/cartier.yml.