Galois Fields and Elliptic Curves

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Related lectures (32)

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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.