The expression ‘modern coding theory’ refers to a broad family of coding techniques and
decoding algorithms that have been developed over the last twenty years. These techniques allow
to achieve the information-theoretic limits of reliable communication and data storage
in many settings, while keeping computational complexity under control.
A unifying theme in modern coding theory is the focus on probabilistic designs/analysis methods.
We will explore the following topics:
LDPC ensembles and their analysis through density evolution
Achieving capacity via irregular ensembles and spatial coupling