Lectures related to Arithmetic with Base 2 Expansions

Division and Multiplication in Rational Numbers

Explores division and multiplication in rational numbers, emphasizing the concept of multiplying by the inverse.

Vector Spaces: Definitions and Properties

Covers the definitions and properties of vector spaces, including axioms and examples.

Public-Key Cryptography: Key Exchange and Signatures

Explores public-key cryptography, key exchange, and digital signatures, discussing practical applications and security mechanisms.

Elliptic Curve Cryptography: Galois Fields

Explores Galois fields, elliptic curve cryptography, arithmetic operations, group structure, and practical examples in cryptography.

Microwave Circuit Characterization: Flow Charts and Reduction Rules

Covers circuit characterization using flow charts and reduction rules.

Homomorphic Encryption: Applications and Implementations

Explores homomorphic encryption, its applications, challenges, and comparisons with Trusted Execution Environments, as well as the use of aggregated keys for secure data sharing.

Algebraic Operations

Covers the basic concepts of rational numbers and algebraic operations, including addition, subtraction, multiplication, and division.