# Information theory and coding

lingi2348  2022-2023  Louvain-la-Neuve

Information theory and coding
5.00 credits
30.0 h + 15.0 h
Q2
Teacher(s)
Language
Main themes
• Information representation: decorrelation coding and entropic coding.
• Information security: cryptographic coding.
• Information correction: channel coding theory and error-correcting codes.
Learning outcomes
 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.
Content
• 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. The exam may be divided into a closed-book part and an open-book part.
Other information
Background:
• LEPL1106: solid basic knowledge in mathematics, signals and systems
Online resources
Moodle
https://moodleucl.uclouvain.be/course/view.php?id=5483
Bibliography
• 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
Sigle
Credits
Prerequisites
Learning outcomes
Master [120] in Electrical Engineering

Master [120] in Computer Science and Engineering

Master [120] in Computer Science

Master [120] in Mathematical Engineering

Master [120] in Data Science Engineering

Master [120] in Data Science: Information Technology