This is really interesting thought. Could someone help me understand where I'm going wrong? Because I assume that Sloot made the same mistake that I'm making here, and I'm struggling to understand the Shannon's source code theorem article, so I'm thinking in practical terms:

If you wanted any movie in 1080x768, and wanted to have it in full colour, that would be 16,777,216 possible colours per pixel, so the number of IDs in your sequentially generated noise database would be 16777216 * 1024 * 768 = 1.319414e+13. This is where I think I might be misunderstanding something, because that number in decimal form is apparently 13194140000000, which means every frame will have an ID that is only 14 digits long.

Where have I made the mistake in concluding that I could store any 1024x768 image in 14 characters so long as my computer could generate an image of that ID?

Edit: I've just realised that 1024x768 is not a standard resolution, but I suppose the point remains with 1920x1080

There is a small mistake in the formula: the actual cardinality of the noise database would be 16777216 ^ (1024 * 768), which is a much bigger number.