Explore a comprehensive lecture on Fully Linear PCPs and their cryptographic applications, presented by Elette Boyle from IDC Herzliya and Henry Corrigan-Gibbs from Stanford University. Delve into the world of Probabilistically Checkable and Interactive Proof Systems, covering topics such as distributed verifiers, cryptographic applications, and fully linear interactive oracles. Learn about low communication fully linear PCPs, secret sharing schemes, and their construction and examples. Gain insights into communication complexity, existing approaches, and passive secure protocols. Discover the connections between these concepts and their relevance in modern cryptography and computer science.