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LWE Problem

Definition

The LWE Problem, or Learning With Errors, is a mathematical challenge central to modern cryptography. This computational problem involves distinguishing a noisy linear system from a truly random one, forming a core assumption for many lattice-based cryptographic protocols. Its presumed difficulty, even for advanced computing systems, renders it a key component in designing algorithms resistant to quantum computer attacks. The LWE problem’s security relies on the challenge of recovering a secret from linearly related samples corrupted by small, randomly generated errors.