Overview
This course aims to teach students about LDPC codes and how they achieve list decoding capacity. By the end of the course, students will understand error-correcting codes, list-decoding, unique decoding, and the properties of LDPC codes. The course covers topics such as Gallager's Ensemble, parameters, and open problems in the field. The teaching method involves lectures by multiple instructors from reputable institutions. This course is intended for individuals interested in advanced topics in coding theory and information theory.
Syllabus
Intro
Error correcting codes
List-decoding and unique decoding
Which codes are list-decodable?
Gallager's Ensemble First studied family of LDPC codes. Parameters
Our main result
List-decoding is a local property
Local properties of random linear codes
Open problems
Taught by
IEEE FOCS: Foundations of Computer Science