title: Any theoretical limit to compression?
body: <p>Imagine that you had all the supercomputers in the world at your disposal for the next 10 years. Your task was to compress 10 full-length movies losslessly as much as possible. Another criteria was that a normal computer should be able to decompress it on the fly and should not need to spend much of his HD to install the decompressing software.</p>
  
  <p>My question is, how much more compression could you achieve than the best alternatives today? 1%, 5%, 50%? More specifically: is there a theoretical limit to compression, given a fixed dictionary size (if it is called that for video compression as well)?</p>