Lectures related to Cryptography and Security

Introduction to Cryptography: Fundamentals and Applications

Covers the fundamentals of cryptography, including symmetric encryption, digital signatures, and secure communication standards.

Cryptanalysis: The Power of Interaction

Explores the power of interaction in cryptographic primitives and conventional cryptanalysis techniques.

Introduction to Cryptography: One-Time Pad and Public-Key Systems

Introduces cryptography, focusing on the one-time pad and public-key systems, emphasizing privacy and authenticity in information security.

Applied Cryptography: Basics

Introduces applied cryptography basics, historical encryption methods, and the concept of perfect secrecy with the One Time Pad.

Probability Theory: Lecture 3

Explores random variables, sigma algebras, independence, and shift-invariant measures, emphasizing cylinder sets and algebras.

Statistical Analysis: Boxplot and Normal Distribution

Introduces statistical analysis concepts like boxplot and normal distribution using real data examples.

Information Coding: Source, Cryptography, Channel

Covers source coding, cryptography, and channel coding for communication systems.

Public-Key Cryptography: Key Exchange and Signatures

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

Introduction and Probability Spaces

Covers the basics of probability theory, including probability spaces and random variables.

The Power of Interaction: Zero-Knowledge Construction

Explores zero-knowledge construction, setup models, and the power of interaction in cryptographic protocols, including Sigma Protocol and NP Zero-Knowledge Proofs.

Cryptanalysis: Public-Key

Explores cryptanalysis in public-key cryptography, covering attacks, algorithms, and security models.

Stochastic Calculus: Lecture 1

Covers the essentials of probability, algebras, and conditional probability, including the Borel o-algebra and Poisson processes.

Information Theoretic Cryptography

Explores information-theoretic cryptography, focusing on secret communication and key generation.

Semantic Security: Stream Ciphers

Explores semantic security in stream ciphers, emphasizing pseudorandom number generators and computational limitations in cryptography.

Probability and Statistics: Independence and Conditional Probability

Explores independence and conditional probability in probability and statistics, with examples illustrating the concepts and practical applications.

Law of Large Numbers: Strong Convergence

Explores the strong convergence of random variables and the normal distribution approximation in probability and statistics.

Probability Theory: Lecture 2

Explores toy models, sigma-algebras, T-valued random variables, measures, and independence in probability theory.

Ancient Cryptography: Security and Information Theory

Explores ancient cryptography, key security, perfect secrecy, and the Shannon encryption model.

Fermat's Little Theorem

Explores Fermat's Little Theorem, its extensions, primality testing algorithms, and the significance of prime numbers in cryptography.

Statistics: Exploratory Data Analysis

Introduces statistics basics, including data analysis and probability theory, emphasizing central tendency, dispersion, and distribution shapes.