Ensimag Rubrique Formation 2022

Advanced Cryptology - WMM9SY06

  • Number of hours

    • Lectures 24.0
    • Projects -
    • Tutorials 12.0
    • Internship -
    • Laboratory works 12.0
    • Written tests -


    ECTS 6.0


Introduction to advanced topics in cryptology


Pierre KARPMAN, Emmanuel PEYRE


Information-theoretical security

  1. Secret sharing
  • MDS codes and basic code-based secret-sharing
  • Minimal codewords, access structures
  1. Perfectly-secure message transmission
  • A simple example

Advanced protocols

Zero-Knowledge (ZK) proofs are a fundamental building block to design advanced cryptographic schemes for privacy-related purpose. An example of such schemes, can be group signatures, which allow users to sign on behalf of a group they previously enrolled in, while keeping their identities private inside the group and finally staying accountable for the signatures they provide. We will present some constructions of ZK proofs from lattice assumptions and use them in the construction of privacy-friendly protocols along with their security proofs.


Some knowledge of the following is required:

  1. Cryptography
  • Symmetric and asymmetric primitives and their associated security definitions
  1. Mathematics
  • Linear algebra
  • Finite fields
  1. Computer science
  • Algorithmics


The exam is given in english only FR


The course exists in the following branches:

  • Curriculum - Master in Computer Science - Semester 9 (this course is given in english only EN)
  • Curriculum - Master in Applied Mathematics - Semester 9 (this course is given in english only EN)
see the course schedule for 2022-2023

Additional Information

Course ID : WMM9SY06
Course language(s): FR

You can find this course among all other courses.