The Ultimate Measure of Randomness
You can define the complexity of any piece of data by the length of the shortest computer program needed to create it. If a string can be compressed into a tiny script, it is simple; if it cannot, it is truly random.
This concept suggests that true randomness is actually just a lack of patterns that a computer can simplify. For example, a long sequence of repeating numbers has low complexity because a short command can describe it. In contrast, genuinely chaotic data requires a program as long as the data itself to reconstruct. It changes how we define information by shifting the focus from frequency to the limits of compression.
Source: Kolmogorov complexity