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Lattice Problems

Definition

Lattice problems are complex mathematical challenges involving finding particular points within a geometric arrangement of vectors. These computational difficulties are fundamental to the security of certain cryptographic systems, particularly those being developed for resistance against quantum computing attacks. They involve operations within high-dimensional vector spaces, where tasks like finding the shortest non-zero vector or the vector closest to a target point are computationally intensive. The perceived hardness of these problems underpins the robustness of lattice-based cryptography.