Protocols, cryptanalysis and mathematical cryptology

Secret Sharing. Oblivious transfer. Fair exchange protocols. Electronic commerce. Digital signatures.

Differential and linear cryptanalysis.

Elliptic curve cryptography.

Cryptographically strong random generators. Serial encryption.

Arithmetic algorithms and representation of large numbers. Factoring, primality testing, discrete logarithm, prime numbers generation… Original methods: biometrics, visual cryptography, quantum cryptography…

Research methods in cryptology.

Modern cryptology and cryptanalysis tools; design and analysis of cryptographic primitives and protocols.

Critical analyzis of some current issues in the field.

Cours ayant celui-ci comme co-requis

Short theoretical introduction, interactive presentation and analysis of research papers, general discussion.

Contribution to the teaching profile

Acquire deep knowledge in cryptology, assimilate new concepts, develop a rigorous approach of scientific reasoning, develop abstraction with the aim of an analysis and of a scientific approach, present orally or in writing in a clear, concise and rigorous way the results of a work, develop a scientific argumentation, summarize and synthesize.

References, bibliography, and recommended reading

Darrel Hankerson, Alfred J. Menezes et Scott Vanstone, "Guide to Elliptic Curve Cryptography", Springer, 2003.

Henk C. A. van Tiborg ed., "Encyclopedia of Cryptography and Security", Sringer, 2005.

Mitsuru Matsui, "Linear cryptanalysis method for DES cipher" in Advances in Cryptology, EUROCRYPT'93, LNCS #765,Springer-Verlag, pp.386-397, 1994.

Eli Biham et Adi Shamir, "Differential Cryptanalysis of the Data Encryption Standard", Springer Verlag, 1993.

Contacts

Yves Roggeman - Computer Science Dept - Campus Plaine - CP212 - Building N/O, Room 2.N8.115 Email: yves.roggeman@ulb.ac.be

Olivier Markowitch - Computer Science Dept - Campus Plaine - CP212 - Building N/O, Room 2.N8.115A Email: olivier.markowitch@ulb.ac.be

Method(s) of evaluation

• Other

Other

Preparation and presentation of seminar subject

Mark calculation method (including weighting of intermediary marks)

Seminar presentation and active participation during the course

Language(s) of evaluation

• english
• french