Parallel algorithms for optimal compression using dictionaries with the prefix property

Abstract

The authors study parallel algorithms for lossless data compression via textual substitution. Dynamic dictionary compression is known to be P-complete, however, if the dictionary is given in advance, they show that compression can be efficiently parallelized and a computational advantage is obtained when the dictionary has the prefix property. The approach can be generalized to the sliding window method where the dictionary is a window that passes continuously from left to right over the input string.<>