Closest Vector Problem: Voronoi Cells

This lecture covers the closest vector problem in lattices, focusing on finding the lattice vector closest to a given target. The instructor explains the concept of Voronoi cells, which partition the space and help determine the closest vector. By defining Voronoi cells as a polytope and exploring the minimal set of inequalities needed to describe them, the lecture delves into the geometric and linear programming aspects of the problem. The discussion includes insights on facet defining inequalities, the uniqueness of minimal inequality sets, and the finite number of relevant vectors in Voronoi cells.