Explore the fundamentals of Elliptic Curve Cryptography (ECC) in this comprehensive 48-minute video. Delve into the co-invention by Neal Koblitz and Victor Miller that scaled the discrete log method into a multiplicative space. Learn about key exchange methods like ECDH (Elliptic Curve Diffie-Hellman), digital signature algorithms such as ECDSA (Elliptic Curve Digital Signature Algorithm) and EdDSA (Edwards-curve Digital Signature Algorithm), and encryption techniques like ECIES (Elliptic Curve Integrated Encryption Scheme). Gain insights into various aspects of ECC, including curves, Montgomery curves, Montgomery ladder, key exchange processes, digital signature methods, and compression techniques. Access additional resources for background theory and practical applications through provided links to enhance your understanding of this crucial cryptographic technology.