Lecture
This lecture covers privacy-preserving authentication methods, including secure multi-party computation and fully homomorphic encryption. It explores scenarios where the server does not trust the user and vice versa, presenting concepts like zero-knowledge proofs and Schnorr's proof of identification. The lecture delves into the properties and simulation of zero-knowledge proofs, as well as their applications in Schnorr signatures and non-interactive proofs. It also discusses the Fiat-Shamir heuristic and its role in converting interactive protocols. The session concludes with real-world applications of zero-knowledge proofs in various technologies, such as digital currencies, electronic voting systems, and privacy-friendly reputation systems.