THESIS DEFENSE OF Malek ELLOUZE - July 5, 2024

Malek ELLOUZE will defend his thesis on June 5th 2024 at 10:00 am in the Amphi JP. DOM from the IMS laboratory on the subject : “Distance properties of polar code: theory and applications”.
Polar codes are one of the most competitive families of error-correcting codes. They can achieve Shannon channel capacity through efficient encoding and decoding for very large code lengths. This thesis aims to study and analyze polar codes focusing on two fundamental aspects that influence their performance: their distance properties and their performance for list decoding.
A first contribution characterizes some distance properties of classical and pre-transformed polar codes.
A second contribution involves generalizing the developed approach within the thesis to punctured and shortened polar codes.
Finally, the question of the list size necessary for list decoding (SCL) to achieve maximum likelihood performance is addressed.