I had my own idea compressing chess moves, using one byte per move, because I think the number of legal moves can never exceed 256. Further compression may be

I had my own idea compressing chess moves, using one byte per move, because I think the number of legal moves can never exceed 256. Further compression may be possible due to the number of legal moves may be much less, so some of the previously numbers may be used for common sequences of moves. (It would also be possible to use some of the unused numbers to indicate e.g. resigning, agreement of a draw, and unfinished games.)