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Lecture
Are you an EPFL student looking for a semester project?
Work with us on data science and visualisation projects, and deploy your project as an app on top of Graph Search.
This lecture covers the Euclidean algorithm, which efficiently finds the greatest common divisor (gcd) of two integers, and Bézout's identity, providing the inverse of an element in Z/mZ when gcd(a,m) = 1. The extended Euclid algorithm is also explained, along with examples and proofs related to gcd and multiplicative inverses. The concept of commutative groups, including the axioms and properties, is introduced, highlighting the importance of these structures in cryptography and channel coding.