Troisième Année Ingénieur en Informatique

Engineering Title: Computer Security.
Semester: 06.
TU Title:
Subject Title: Advanced Cryptography.
Credits: 6.
Coefficient: 4.
Teaching Objectives: Introduce the student to the study of cryptosystems based on algebraic problems or
error-correcting code problems.
Recommended Prior Knowledge: Some algebra concepts.

Course Content:
     1. Introduction.
          a- Security needs.
          b- Symmetric Crypto-Systems, Asymmetric Crypto-Systems.
          c- Hash Functions.
          d- Electronic Signature.
          e- New Trends in Cryptography.
          f- Cryptanalysis.
      2. Encryption, security.
          a- “One-way” function.
          b- The RSA method and factorization of integers.
          c- Discrete logarithm and El Gamel cryptosystem.
          d- The Knapsack problem.
          e- Error correcting codes and Mc Elièce cryptosystem.
          f- Elliptic curves, cryptosystems.
          g- Secret Sharing.
          h- Image encryption.
          i- Copyright protection.
     3. Authentication.
          a- Protocols, Principles.
          b- Authentication techniques, digital signature.
          c- Signature using public keys.
          d- File security.
          e- Algorithms, examples.

    Evaluation Mode: Continuous Evaluation, and Exam.
References:
    1. Ireland & Rosen, A Classical Introduction to Modern Number Theory, Springer.
    2. Koblitz, A Course in Number Theory and Cryptography, Springer, 1994.
    3. Blake, Seroussi et Smart, Elliptic Curves in Cryptography, Springer.
    4. Koblitz, Algebraic Aspects of Cryptography, Springer.Establishment: Engineering Title: Computer Security (CS).
     Academic Year: 2024-2025 Page |