V8e: ECDSA in Elliptic Curve Cryptography 🔐

Welcome to "V8e: Elliptic Curve Digital Signature Algorithm (ECDSA)," the fifth and final lecture in the elliptic curve cryptography (ECC) series of Alfred Menezes's "Applied Cryptography 101: Building Blocks" course. In this essential video, you’ll dive into how ECDSA, a widely-used cryptographic signature algorithm, underpins secure digital transactions in cryptocurrencies like Bitcoin and Ethereum, as well as secure web communication protocols such as TLS.

Designed for computer science students, software engineers, applied cryptographers, and cybersecurity professionals, this video explains the mechanics of ECDSA and highlights its advantages over traditional algorithms like RSA. You’ll explore the importance of deterministic ECDSA, which helps prevent cryptographic vulnerabilities, and see why ECDSA is favoured for its efficient, strong security in applications requiring compact, secure digital signatures.

With Alfred Menezes’s expert guidance, you’ll learn how ECDSA operates within the framework of elliptic curve cryptography, providing both secure and efficient digital authentication. Whether you’re interested in secure coding practices, cryptocurrency security, or advanced cryptographic techniques, this lecture is an invaluable addition to your state-of-the-art free online learning in applied cryptography. Join us and expand your expertise with this critical ECDSA overview!

Lecture playlist:
https://www.youtube.com/playlist?list=PLA1qgQLL41SRsHMtsb4up5fTytDeHV_yJ

Course web page: https://cryptography101.ca/crypto101-building-blocks/
The slides are available on the course web page.

"Elliptic curve cryptography" chapter from "Textbook of Applied Cryptography": https://drive.google.com/file/d/1y30ccFhMI2_btwzCADyDmwSs8758tqlU/view

Other cryptography courses: https://cryptography101.ca

Slides
00:00 Introduction
00:23 Slide 337: ECDSA: Domain parameters and key generation
02:00 Slide 338: ECDSA: Signature generation
06:24 Slide 339: Playstation ECDSA
08:13 Slide 340: Deterministic ECDSA
09:15 Slide 341: ECDSA: Signature verification
12:57 Slide 343: ECDSA notes
16:01 Slide 344: Performance
16:55 Concluding remarks