Public-Key Cryptography: ECDSA and BLS

This lecture covers the fundamentals of public-key cryptography, focusing on ECDSA and BLS signature schemes. It delves into the parameters, generation, and validation of ECDSA, as well as the benefits compared to DSA. The instructor explains the process of signature generation and verification in ECDSA, along with examples of public parameters and keys. Additionally, the lecture explores the Boneh-Lynn-Shacham signature scheme and its applications. The case study on NFC credit card payment illustrates real-world cryptographic challenges and solutions, such as the EMV PayPass protocol. The lecture concludes with discussions on breaking RSA and DH cryptography, popular algorithms, and cryptographic strengths.