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.

  1. Wednesday, February 22th, 2023, 08:00-10:30. Room MSA 3.380.
    Course: basic number theory for cryptography. Video
    Exercise: simple exercises.
  2. Wednesday, March 8th, 2023, 14:00-16:30. Room MSA 3.330.
    Course: computing with large integers. Video
    Exercise: implementation of addition and multiplication for large integers.
  3. Wednesday, March 15th, 2023, 14:00-16:30. Room MNO 1.040.
    Course: the RSA algorithm. Video
    Exercise: Implementation of RSA
  4. Wednesday, March 22th, 2023, 14:00-16:30. Online.
    Course: attacks against RSA. Video
    Exercise: implementation of some attacks against RSA
  5. Wednesday, March 29th, 2023, 14:00-16:30. Room MSA 3.330.
    Course: RSA signatures: attacks and security proofs. Video
    Exercise: implementation of some attacks against RSA signatures
  6. Wednesday, April 12th, 2023, 14:00-16:30. Room MSA 3.330.
    Course: introduction to fully homomorphic encryption. Video
    Exercise: implementation.


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