Is it possible to...?

First of all, hi everyone! I'm new to the site. Hopefully I'll be sticking around.

Anyway, I was wondering if there is a program out there that can use a set of known keys to determine possible other keys. For example, if the program is given the keys AAAAA, BBBBB, and CCCCC, it will analyze the keys and suggest the possible key of DDDDD & etc.

I figure that encryption like this is kinda what computers were made for, so there must be some way to do something like this... right? Obviously the keys I'm trying to generate are a bit more complex that DDDDD, but it's the same principle. Right?

Do any of you know of anywhere I could find a program like this or how I would go about making one myself?

Thanks in advance! Any time and effort you put into your rsponse is much appreciated!
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