Information theory and coding [ LINGI2348 ]

> https://icampus.uclouvain.be/claroline/course/index.php?cid=INGI2620

solid basic knowledge in computer science and mathematics as taught in 1st and 2nd year of Bachelor in Engineering

• Information representation: decorrelation coding and entropic coding.
• Information security: cryptographic coding.
• Information correction: channel coding theory and error-correcting codes.

• To explain the notions, methods and results that are used in the analysis and design of information representation, protection and correction systems.
• To present not only general results that determine the possibilities offered by information theory, but also effective compression, security and correction methods.
• To provide some design tools for multimedia (image, sound, data) information coding.

Written examination covering both on the theory and the exercises.

The course consists of magistral courses and sessions learning by exercise which to explore the different facets of the theory.

• 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.

• 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.