Nice example with visual crypto, but does this scale? Are there algorithms able to generate arbitrary number of patterns where groups of two or more of those pa

Nice example with visual crypto, but does this scale? Are there algorithms able to generate arbitrary number of patterns where groups of two or more of those patterns form desired groups of signals? Basically generate 10 visual crypto pictures and be able to get different messages by combining random pairs of pictures. Because this is whats needed for this to work.