Instructors:
Anne Canteaut (responsable),
Alain Couvreur,
Thomas Debris
Objectives
The aim of this course is to present common issues essential to the
theory of error-correcting codes and to cryptology (symmetric cryptography and public-key cryptosystems), with algorithmic and computational aspects.
English Policy
Lectures will be in French, but could be in English if some student asks for it.
Lecture notes are in English.
Prerequisite
First-year master level in standard algebra, algorithms and cryptology.
Sister courses: 2.12-1, 2.12-2, 2.30, 2.34.2 and 2.13.1.
Wednesday, from 8:45 to 10:15, building Sophie Germain, Room 1002
| 18/09 | Alain Couvreur | Introduction |
| 25/09 | Anne Canteaut | Finite Fields basics Exercises |
| 02/10 | Alain Couvreur | Decoding problems, Shannon theory |
| 09/10 | Alain Couvreur | Bounds on the parameters of codes |
| 16/10 | Alain Couvreur | Duality, MacWilliams identity |
| 23/10 | Alain Couvreur | Cyclic codes, BCH codes |
| 30/10 | no lecture |
| 06/11 | Alain Couvreur | Reed-Solomon codes |
| 13/11 | Thomas Debris | Decoding as an intractable problem |
| 20/11 | Anne Canteaut | Exercises |
| 04/12 | mid-term exam |
| 11/12 | Thomas Debris | Random codes and generic decoding algorithms |
| 18/12 | Thomas Debris | Code-based encryption schemes |
| 08/01 | Anne Canteaut | Reed-Muller codes, Boolean functions |
| 15/01 | Anne Canteaut | canceled |
| 22/01 | Anne Canteaut | Algebraic attacks and statistical attacks on block ciphers |
| 29/01 | Anne Canteaut | Linear cryptanalysis |
| 05/02 | Anne Canteaut | Linearity of Sboxes |
| 12/02 | Anne Canteaut | Differential cryptanalysis |
| 19/02 | Anne Canteaut | Diffusion in block ciphers |
| 05/03 | final exam |
Partial exam: December 4. Lecture notes are allowed.
Final exam: March 5. The final exam will rely on a research paper given to the students 3 weeks in advance. The day of the exam, a list of questions related to the paper is handed.
Lecture notes are allowed.
The final grade is defined as the maximum between the grade of the final exam and the average of the grades of the partial exam and of the final exam.