Algorithms for Numbers and Public-Key Cryptography

Professors: Jean-S├ębastien Coron

The goal of the course is to learn the basics of computational number theory and public-key cryptography.

The course takes place in room MSA 4.310.
  1. Friday, March 2nd, 2018, 14:00-16:30
    Course: Euclid's algorithm, Chinese Remainder Theorem, Modular arithmetic.
    Exercise: Simple exercises.
  2. Friday, March 9th, 2018, 14:00-16:30
    Course: Computing with large integers
    Exercise: Implementation of addition and multiplication for large integers.
  3. Friday, March 23rd, 2018, 14:00-16:30
    Course: the RSA algorithm
    Exercise: implementation of RSA
  4. Friday, March 30th, 2018, 14:00-16:30
    Course: Attacks against RSA: Coppersmith's technique
    Exercise: applications of Coppersmith's technique.
  5. Friday, April 13th, 2018, 14:00-16:30
    Course: discrete-log based cryptography


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