Quadric code[1][2]

Description

Evaluation code of polynomials evaluated on points lying on a quadric hypersurface.

Parent

  • Flag-variety code — Quadric codes are flag-variety evaluation codes with the flag variety being a quadric hypersurface.

References

[1]
J. Wolfmann, “Codes projectifs a deux ou trois poids associfs aux hyperquadriques d’une geometrie finie”, Discrete Mathematics 13, 185 (1975) DOI
[2]
Y. Aubry, “Reed-Muller codes associated to projective algebraic varieties”, Lecture Notes in Mathematics 4 (1992) DOI
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Zoo Code ID: quadric

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

Cite as:

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

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