Lecture

Modular Arithmetic: Understanding RSA Cryptosystem

Description

This lecture delves into modular arithmetic, a foundation of number theory, focusing on the RSA cryptosystem. The instructor explains the concept of congruence classes in Z mod m, the properties of addition and multiplication, and the importance of multiplicative inverses. Through examples and proofs, the lecture demonstrates how modular arithmetic is used to detect errors in data transmission, particularly in the context of the RSA cryptosystem.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_mwqxxxxd

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Ontological neighbourhood

Mathematics

Algebra: Abstract algebra

Number theory: Topics in number theory

Arithmetic: Topics in arithmetic

Logic

Classical logic: First-order logic

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