Information theory and coding

lingi2348  2019-2020  Louvain-la-Neuve

Information theory and coding
Note from June 29, 2020
Although we do not yet know how long the social distancing related to the Covid-19 pandemic will last, and regardless of the changes that had to be made in the evaluation of the June 2020 session in relation to what is provided for in this learning unit description, new learnig unit evaluation methods may still be adopted by the teachers; details of these methods have been - or will be - communicated to the students by the teachers, as soon as possible.
5 credits
30.0 h + 15.0 h
Louveaux Jérôme; Macq Benoît; Pereira Olivier;
Main themes
  • Information representation: decorrelation coding and entropic coding.
  • Information security: cryptographic coding.
  • Information correction: channel coding theory and error-correcting codes.

At the end of this learning unit, the student is able to :

1 Given the learning outcomes of the "Master in Computer Science and Engineering" program, this course contributes to the development, acquisition and evaluation of the following learning outcomes:
  • INFO1.1-3
  • INFO2.2
  • INFO5.2
  • INFO6.4
Given the learning outcomes of the "Master [120] in Computer Science" program, this course contributes to the development, acquisition and evaluation of the following learning outcomes:
  • SINF1.M1
  • SINF2.2
  • SINF5.2
  • SINF6.4
Students completing this course successfully will be able to
  • explain the notions, methods and results that are used in the analysis and design of information representation, protection and correction systems.
  • present not only general results that determine the possibilities offered by information theory, but also effective compression, security and correction methods.
  • provide some design tools for multimedia (image, sound, data) information coding.

The contribution of this Teaching Unit to the development and command of the skills and learning outcomes of the programme(s) can be accessed at the end of this sheet, in the section entitled “Programmes/courses offering this Teaching Unit”.
  • Basic notions in information theory; mutual information and entropy.
  • Discrete source coding by fixed length-codes and variable-length codes.
  • Decorrelation coding and coding gain notions.
  • Basic notions in cryptology; secret-key and public-key cryptographic coding systems.
  • Discrete memoryless channel; capacity notion; noisy channel coding theorem.
  • General block coding theory; role of the minimum distance.  
  • Linear codes: generator matrix and parity-check matrix; syndrome decoding.
  • Study of certain classes of linear block codes: cyclic codes and Reed-Solomon codes.
  • Introduction to convolution codes.
Teaching methods
The course consists of magistral courses as well as exercice sessions to explore the different aspects of the theory.
Evaluation methods
Written examination covering both theory and exercises.
Other information
  • LFSAB1402 : solid basic knowledge in computer science
  • LFSAB1103 : solid basic knowledge in mathematics
Online resources
  • R.G. Gallager, "Information Theory and Reliable Communication" , John Wiley, 1968.
  • F.J. MacWilliams and N.J.A. Sloane, "The Theory of Error-Correcting Codes" , North-Holland, 1977.
Faculty or entity

Programmes / formations proposant cette unité d'enseignement (UE)

Title of the programme
Master [120] in Data Science Engineering

Master [120] in Computer Science and Engineering

Master [120] in Mathematical Engineering

Master [120] in Computer Science

Master [120] in Electrical Engineering

Master [120] in Data Science: Information Technology