Codes used for Data compression

Optimal data compression codes achieve the compression limit determined by the Source coding theorem

Lossless coding

Symbol codes

Huffman coding

Stream codes

Lempel-Ziv algorithms

Markov chain compression

Burrows-Wheeler transform

Arithmetic compression

Dynamic statistical encoding

Grammar-based compression

Finite State Entropy - A new breed of entropy coder

Good blog on data compression advancements: http://fastcompression.blogspot.co.uk/

(IC 1.2) Applications of Compression codes

Lossy coding