Lectures related to Introduction to Elliptic Curves

Public-Key Cryptography: Key Exchange and Signatures

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

Elliptic Curves and Lattices

Explores Elliptic Curve Discrete Logarithm Problem, lattice-based cryptography, and cryptographic schemes like ECDSA.

Public-Key Cryptography: Standards and Applications

Discusses public-key cryptography, focusing on standards like RSA, DSA, and AES, and their applications in secure communications.

RSA: Trapdoor One-Way Functions

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

Elliptic Curves: Theory and Applications

Covers the theory and applications of elliptic curves in cryptography and number theory.

Cryptography: Fundamentals and Applications

Introduces the fundamentals of cryptography, covering symmetric and asymmetric encryption, hash functions, key infrastructure, and data integrity.

Real Functions: Definitions and Properties

Explores real functions, covering parity, periodicity, and polynomial functions.

Public-Key Cryptography: ECDSA and BLS

Explores ECDSA and BLS signature schemes, NFC credit card payment, and breaking RSA and DH cryptography.

Public-Key Cryptography: Post-Quantum and Access Control

Explores public-key cryptography, post-quantum systems, and access control mechanisms in depth.

Cryptography: Tools and Techniques

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

RSA Encryption: Principles and Applications

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

Distributed Randomness: Drand

Explores distributed randomness using Drand, covering cryptographic tools, key exchange, elliptic curve cryptography, and practical applications in blockchain systems.

Comparison Series and Integrals

Explores the relationship between series and integrals, highlighting convergence criteria and function examples.

Galois Fields and Elliptic Curves

Introduces Galois fields, elliptic curves, factorization algorithms, and the discrete logarithm problem in cryptography.

Diffie-Hellman Cryptography: Key Exchange and ElGamal Encryption

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

Discrete Log Problem: Index Calculus

Explores the discrete log problem and index calculus method in cryptography.

Asymmetric Cryptography: RSA, Elliptic Curves, Lattices

Explores RSA, elliptic curves, and lattice-based cryptography for secure communication.

Homomorphic Encryption: Basics and Applications

Covers homomorphic encryption using elliptic curves and its applications in decentralized systems.

Elliptic Curves and Factoring

Explores elliptic curves, factoring, and their role in cryptography, emphasizing standardization and applications.

Diffie-Hellman Cryptography: Key Exchange & ElGamal

Covers Diffie-Hellman key exchange, DDH problem, ElGamal cryptosystem, and security implications.