Integer Factorization: Quadratic Sieve

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Covers the Quadratic Sieve method for integer factorization, emphasizing the importance of choosing the right parameters for efficient factorization.

Elliptic Curves and Lattices

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

Public-Key Cryptography: Key Exchange and Signatures

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

Distributed Randomness: Drand

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

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.

Diffie-Hellman Cryptography: Key Exchange and Fields

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

Generator of a Group

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

Elliptic Curves and Factoring

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

Cryptography: Fundamentals and Applications

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