Lectures related to Galois Fields and Elliptic Curves

Elliptic Curve Cryptography: Galois Fields

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

Elliptic Curve Cryptography: Basics and Applications

Explores the basics and applications of elliptic curve cryptography, covering ECM factorization, standard curves, practical examples, and real-world implementations.

Introduction to Elliptic Curves

Covers the basics of elliptic curves, their significance in cryptography, and their applications in public key cryptography.

Elliptic Curves and Lattices

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

Integer Factorization: Quadratic Sieve

Explores integer factorization using the quadratic sieve method and the challenges of working with algebraic number fields.

Galois Theory: The Galois Correspondence

Explores the Galois correspondence and solvability by radicals in polynomial equations.

Galois Theory: Dedekind Rings

Explores Galois theory with a focus on Dedekind rings and their unique factorization of fractional ideals.

Elliptic Curves: Theory and Applications

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

Distributed Randomness: Drand

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

Galois Theory: Solvability and Radical Extensions

Explores solvability by radicals in Galois theory and the Galois/Abel criterion for solvability.

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 Factoring

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

Generator of a Group

Explores checking a generator of a group, the Diffie-Hellman key exchange, and cryptographic algorithms.

Cryptography: Fundamentals and Applications

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

Cryptography: Tools and Techniques

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

Introduction to Cryptography: Fundamentals and Applications

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

Diffie-Hellman Cryptography: Key Exchange and ElGamal Encryption

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

Asymmetric Cryptography: Basics and Applications

Explores asymmetric cryptography basics, including encryption, signatures, and Diffie-Hellman, along with advanced topics like RSA and quantum computing implications.

Public-Key Cryptography: Standards and Applications

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

Diffie-Hellman Cryptography: Key Exchange and Fields

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