A Recursive Construction of the Set of Binary Entropy Vectors and Related Algorithmic Inner Bounds for the Entropy Region

A method for checking membership in the region of entropic vectors generated from
N
bits is presented. A general technique for utilizing this method to create inner bounds for regions of entropic vectors as a function of outer bounds is then presented. These two algorithms are then used to provide new insights regarding relationships among well known bounds for the region of entropic vectors..