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Explore the fundamentals of Learning With Errors (LWE) and its applications in encryption in this comprehensive lecture. Delve into the mathematical principles behind LWE, understand its significance in post-quantum cryptography, and examine how it forms the basis for secure encryption schemes. Learn about the challenges and advantages of LWE-based cryptosystems, and gain insights into their potential to withstand attacks from quantum computers. Discover the latest developments in LWE research and its implications for the future of secure communication in a quantum computing era.