A Family Of Low Density Matrices In Lagrangian–Grassmannian
Jesús Carrillo-Pacheco, Fausto Jarquín-Zárate · Special Matrices · 2018
Abstract The aim of this paper is twofold. First, we show a connection between the Lagrangian- Grassmannian variety geometry defined over a finite field with q elements and the q-ary Low-Density Parity- Check codes. Second, considering the Lagrangian-Grassmannian variety as a linear section of the Grassmannian variety, we prove that there is a unique linear homogeneous polynomials family, up to linear combination, such that annuls the set of its rational points.