Affiliation:
1. Academia de Matemáticas, Universidad Autónoma de la Ciudad de México, 09390. Ciudad de México , México
Abstract
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.
Subject
Geometry and Topology,Algebra and Number Theory
Reference6 articles.
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