V8c: Elliptic curve cryptography (Applied Cryptography 101)

Video lectures for Alfred Menezes's introductory course on the fundamental building blocks used in cryptography. Topics covered: P-256, P-384, P-521, Curve25519, SM2, CNSA 1.0, Modular reduction 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 00:36 Slide 317: Why ECC? 03:22 Slide 318: P-256 elliptic curve 05:44 Slide 319: P-384 elliptic curve 06:24 Slide 320: P-521 elliptic curve 06:50 Slide 321: Curve25519 08:20 Slide 322: SM2 elliptic curve 08:43 Slide 323: CNSA 1.0: Commercial National Security Algorithm Suite 09:57 Slide 324: Modular reduction 11:22 Slide 325: Reduction modulo p = 2^192 - 2^64 - 1 (1) 13:11 Slide 326: Reduction modulo p = 2^192 - 2^64 - 1 (2) 15:13 Slide 327: Reduction modulo p = 2^192 - 2^64 - 1 (3) 16:20 Coming up