Wonder if BWT can be improved (i.e. make it sort better) with a help of extra additional information. So it is not a choice of all (complete sort) or pure BWT but something in between. Maybe group things a bit better (close to a sorted order) but needed a little map&#x2F;error-correction&#x2F;otherthing..? to help it decode.<p>Idea came from seeing Kolmogorov right under BWT&#x27;s section. Maybe the extra information is a small FSM in a compact representation that works before or after BWT.<p>Another useful thing in practice is ability to quickly recognize already compressed data. There are enough encoded images, sound and are already fairly compress. Outer compressor can be quicker if it quickly detects that.