Algorithms for Numbers and Public-Key Cryptography

Professors: Jean-Sébastien Coron

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

  1. Wednesday, February 26th, 2020, 14:00-16:30. Room MSA 3.210.
    Course: Euclid's algorithm, Chinese Remainder Theorem, Modular arithmetic.
    Exercise: Simple exercises.
  2. Wednesday, March 4th, 2020, 14:00-16:30. Room MSA 4.040
    Course: Computing with large integers
    Exercise: Implementation of addition and multiplication for large integers.
  3. Wednesday, March 11th, 2020, 14:00-16:30
    Course: the RSA algorithm. Video
    Exercise: implementation of RSA
  4. Wednesday, March 18th, 2020, 14:00-16:30
    Course: attacks against RSA. Video
    Exercise: implementation of some attacks against RSA
  5. Wednesday, April 8th, 2020, 14:00-16:30
    Course: RSA signatures: attacks and security proofs. Video
    Exercise: implementation of some attacks against RSA signatures


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