I was going to say this too, but then I decided to look it up.
Compression does not increase the entropy of a message. The entropy is
related to the message; compression does not change the message, just
its representation. Also, entropy is the "amount of information" in
a message, not its randomness.
I found this info in Bruce Schneier's Applied Cryptography (1st ed.)
on page 189.
-- Cameron Hutchison (firstname.lastname@example.org) | Beware of the clams GCS d--@nospam. -p+ c++(++++) l++ u+ e+ m+(-) s n- h++ f? !g w+ t r+