A modified version of the MEXICO algorithm for performing ICA over Galois fields

The theory of ICA over finite fields, established in the last five years, gave rise to a corpus of different separation strategies, which includes an algorithm based on the pairwise comparison of mixtures, called MEXICO. In this work, we propose an alternative version of the MEXICO algorithm, with modifications that - as shown by the results obtained for a number of representative scenarios - lead to performance improvements in terms of the computational effort required to reach a certain performance level, especially for an elevated number of sources. This parsimony can be relevant to enhance the applicability of the new ICA theory to data mining in the context of large discrete-valued databases.