I am very new to encryption and I was tasked to solve a seemingly common
problem. I don't mind doing the research but I need at least some kind of
direction in the beginning.

My problem is very similar to validating serial keys on software packages.
Here is what I need to accomplish:

1. I need to create a black box that is capable of generating a large number
(let's say 1 million) of fix 10 character length pseudo-random strings
2. I need a second black box that is capable validating...

I have been think for a long time what about genetic cryptography? But
not finding a scholar to work with for the same. Let me describe the
subject in a more granular way,-

Gene : A gene is a locatable region of genome, corresponding to a unit
of inheritance, which is associated with regulatory regions,
transcribed regions and/or other functional sequence regions.

DNA : Deoxyribonucleic acid (DNA) is a nucleic acid that contains the
genetic instructions used in the development and functioning of all
known living organisms and some viruses. The main role of DNA
molecules is the long-term storage of information. DNA is often
compared to a set of blueprints or a recipe.

Genetic Code : The genetic code is the set of rules by which a gene is
translated into a functional protein. Each gene consists of a specific
sequence of nucleotides encoded in a DNA (or sometimes RNA) strand; a
correspondence between nucleotides, the basic building blocks of
genetic material, and amino acids, the basic building blocks of
proteins, must be established for genes to be successfully translated
into functional proteins.