Generator of a Group

This lecture covers the concept of checking a generator of a group with known order factorization, the Diffie-Hellman key exchange concretely, and the process of picking a generator in a cyclic group with order. It also explains the algorithm for generating a generator, the notion of game in cryptography, and the Baby Step - Giant Step Algorithm. Additionally, it discusses the relationship between the Computational Diffie-Hellman (CDH) problem and the Discrete Logarithm (DL) problem, as well as the Decisional Diffie-Hellman (DDH) problem. The lecture emphasizes the importance of factorization, prime numbers, and the security parameters in cryptographic protocols.