Post-Quantum Cryptography: LWE and Secure Signatures

Abstract

This article presents an analysis of the Learning with Errors (LWE) problem in the context of post-quantum cryptography, highlighting its relationship with lattice theory and its applicability in constructing algorithms secure against quantum computing. The article examines the use of LWE in key cryptographic applications, such as digital signatures (e.g., BLISS and FALCON). Furthermore, it discusses LWE's resistance to quantum attacks, including the impact of algorithms like Grover's, and evaluates its robustness in a future post-quantum environment.