Cryptographic Security Models: Game Proof Methodology

This lecture covers Cryptographic Security Models, focusing on the Game Proof Methodology. The instructor explains how security properties are defined by a game, with different steps and rules, and the concept of adversary strategy. The lecture introduces the Proof Methodology, which involves building a sequence of games and adversary compilers to ensure security. Transition tools like Indistinguishability and Difference Lemma are discussed to bridge steps in security proofs. The lecture also delves into concepts like IND-CPA games, RSA Security, Rabin Cryptosystem, and Diffie-Hellman Security. Various cryptographic protocols such as RSA encryption, RSA problems, and the Diffie-Hellman Key Agreement Protocol are explored, along with their security implications.