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
- Classical Goppa code — Goppa codes are Cartier codes from a curve of genus zero [1].
References
- [1]
- A. Couvreur, “Codes and the Cartier Operator”, (2012) arXiv:1206.4728
Page edit log
- Victor V. Albert (2022-08-04) — most recent
Cite as:
“Cartier code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/cartier