Elliptic Curve Cryptography: Galois Fields

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

Galois Theory: The Galois Correspondence

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

Public-Key Cryptography: Key Exchange and Signatures

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

Galois Theory: Solvability and Radical Extensions

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

Introduction to Cryptography: Fundamentals and Applications

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

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.

Galois Theory: Extensions and Residual Fields

Explores Galois theory, unramified primes, roots of polynomials, and finite residual extensions.

Galois Theory: Dedekind Rings

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

Elliptic Curves and Lattices

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

Distributed Randomness: Drand

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