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> Another surprising feature of the BWT is that for reversing the permutation, no extra information is needed!

I think this is not true. The way I learned the BWT, after encoding, you need to store the index of the first character (which is a tiny bit of extra information). https://web.archive.org/web/20170325024404/http://marknelson...

This is excellent work, and I love seeing projects in Ada.