Codes on Linear Sections of Grassmannians
Jesús Carrillo-Pacheco, Felipe Zaldívar · arXiv (Cornell University) · 2016
We study algebraic geometry linear codes defined by linear sections of the Grassmannian variety as codes associated to FFN$(1,q)$-projective varieties. As a consequence, we show that Schubert, Lagrangian-Grassmannian, and isotropic Grassmannian codes are special instances of codes defined by linear sections of the Grassmannian variety.