English

Codes on Linear Sections of Grassmannians

Algebraic Geometry 2016-06-02 v1

Abstract

We study algebraic geometry linear codes defined by linear sections of the Grassmannian variety as codes associated to FFN(1,q)(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.

Keywords

Cite

@article{arxiv.1606.00087,
  title  = {Codes on Linear Sections of Grassmannians},
  author = {Jesús Carrillo-Pacheco and Felipe Zaldívar},
  journal= {arXiv preprint arXiv:1606.00087},
  year   = {2016}
}

Comments

13pp

R2 v1 2026-06-22T14:14:27.583Z