  In this article, we define the Set Shaping Theory whose goal is the study of
the bijection functions that transform a set of strings into a set of equal
size made up of strings of greater length. The functions that meet this
condition are many but since the goal of this theory is the transmission of
data, we have analyzed the function that minimizes the average information
content. The results obtained show how this type of function can be useful in
data compression.
