This is my future field, Information Science. (It is not William Dembski's field. It is mine.)
And this is Information Theory. (And though he claims to be an expert in it, this is not William Dembski's field, either. Selling William Dembski's books to people taken in by William Dembski is William Dembski's field.)
Okay? Can we at least get our definitions straight?
If you want a really good introduction to Information Theory, check out Mark Chu-Carroll's post on the matter. As he concludes, the argument of the "impossibility" of the creation of new information becomes transparently fallacious.
So - what happens if I take a string in very non-compressed format (like, say, an uncompressed digitized voice) and send it over a noisy phone line? Am I gaining information, or losing information?
The answer is: gaining information. Introducing randomness into the string is adding information.
"AAAABBBB" contains less information than "AAAABxBB".
The way this is used to refute bozos who claim things like "You can't create information" should be obvious.
Shimmies to Good Math, Bad Math