Flag-variety code[1]
Description
Evaluation code of polynomials evaluated on points lying on a flag variety.
Parent
- Polynomial evaluation code — Flag-variety codes are polynomial evaluation codes with \(\cal X\) being a flag variety.
Children
- Grassmannian code — Grassmannian codes are flag-variety evaluation codes with the flag variety being a Grassmannian.
- Hermitian-hypersurface code — Hermitian-hypersurface codes are flag-variety evaluation codes with the flag variety being a Hermitian hypersurface.
- Quadric code — Quadric codes are flag-variety evaluation codes with the flag variety being a quadric hypersurface.
- Schubert code — Schubert codes are flag-variety evaluation codes with the flag variety being a Schubert variety.
References
- [1]
- F. Rodier, “Codes from flag varieties over a finite field”, Journal of Pure and Applied Algebra 178, 203 (2003) DOI
Page edit log
- Victor V. Albert (2022-08-10) — most recent
Cite as:
“Flag-variety code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/flag_variety