Crypto Fundamentals

Dive into the essential concepts of cryptography in this comprehensive 47-minute lecture covering topics such as set theory, modular arithmetic, finite groups, and elliptic curves. Explore mathematical operations, identity elements, generators, and fields while gaining insights into the foundations of modern cryptographic systems. Enhance your understanding of finite sets, point addition, and constraints in cryptography. Although not assessed in the module, this lecture provides valuable resources and addresses key questions in the field of cryptography.

Intro
Notation
Set Theory
Modular Arithmetic
Identity element
Examples
Generators
Fields
Mathematical Operations
Elliptic Curve
Finite Set
Finite Group
Questions
Point Addition
Identity Elements
Constraints
Resources