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 23rd, 2022, 14:00-16:30. Room MSA 4.050.
    Course: basic number theory for cryptography. Video
    Exercise: simple exercises.
  2. Wednesday, March 9th, 2022, 14:00-16:30. Room MSA 4.050.
    Course: computing with large integers. Video
    Exercise: implementation of addition and multiplication for large integers.
  3. Wednesday, March 23rd, 2022, 14:00-16:30. Room MSA 4.050.
    Course: the RSA algorithm. Video
    Exercise: Implementation of RSA
  4. Wednesday, March 30th, 2022, 14:00-16:30. Room MSA 4.050.
    Course: attacks against RSA. Video
    Exercise: implementation of some attacks against RSA
  5. Wednesday, April 6th, 2022, 14:00-16:30. Room MSA 4.050.
    Course: RSA signatures: attacks and security proofs. Video
    Exercise: implementation of some attacks against RSA signatures
  6. Wednesday, April 20th, 2022, 14:00-16:30. Room MSA 4.050.
    Course: introduction to fully homomorphic encryption. Video
    Exercise: implementation.

Previous years: