large data

I'm doing some large data algorithm's

The 7000 character of 2 symbols a binary construction.

The optimization is done across the search space.

I will need to sort them in order or index to order.

I figure total permuations about 2 characters to the 7000 power or 1.621e2107.

A lot of them may not even work but that is the search space.

Any suggest on the how to do this within machine and programming & storage constrants?

I can probable find the upper and lower working values and
work between those and maybe even narrow it a lot more.

I thought of doing a disk sort .. maybe someone has one of those for sorting large files.. or maybe using the dos file system to create the sorted file would work.