Lectures related to Cryptography and Information Theory

Explores fundamental groups, homotopy classes, and coverings in connected manifolds.

Diffie-Hellman Cryptography: Key Exchange and ElGamal Encryption

Covers the Diffie-Hellman key exchange protocol and the ElGamal public-key cryptosystem.

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.

Diffie-Hellman Cryptography: Key Exchange and Attacks

Explores Diffie-Hellman key exchange, DDH problem, active attacks, and cryptographic protocol challenges.

Public-Key Cryptography: Key Exchange and Signatures

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

Ancient Cryptography: Security and Information Theory

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

Groups: Definitions, Properties, and Homomorphisms

Introduces the basic concepts of groups, including definitions, properties, and homomorphisms, with a focus on subgroup properties and normal subgroups.

RSA Encryption: Principles and Applications

Explores RSA encryption principles, factorization challenges, and practical applications in data security.

Diffie-Hellman Cryptography: Key Exchange and Fields

Explores Diffie-Hellman key exchange, group orders, Z_p field, and cryptographic challenges.

Prime Numbers and Primality Testing

Covers prime numbers, RSA cryptography, and primality testing, including the Chinese Remainder Theorem and the Miller-Rabin test.

RSA Cryptosystem: Encryption and Decryption Process

Covers the RSA cryptosystem, encryption, decryption, group theory, Lagrange's theorem, and practical applications in secure communication.

Diffie-Hellman and ElGamal Cryptosystems

Explores Diffie-Hellman key exchange, ElGamal cryptosystem, and their security applications in cryptography.

Algorithms for Big Numbers: Z_n and Orders

Covers algorithms for big numbers, Z_n, and orders in a group, explaining arithmetic operations and cryptographic concepts.

Elementary Algebra: Numeric Sets

Explores elementary algebra concepts related to numeric sets and prime numbers, including unique factorization and properties.

Introduction to Cryptography: Fundamentals and Applications

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

RSA: Trapdoor One-Way Functions

Explores RSA encryption, trapdoor functions, hash functions, and cryptographic standards, including a practical example with Apple's iMessage implementation.

Diffie-Hellman Key Exchange

Explores the Diffie-Hellman key exchange protocol, covering computational challenges, subgroup issues, and key wrapping in RFC 2631.

Universal Property of Groups

Explores the universal property of groups, defining homomorphisms and exploring subgroup properties.

Cryptography: Tools and Techniques

Explores cryptography basics, key exchange protocols, elliptic curve cryptography, and digital signatures for secure data transmission.