I'm not the OP, but: Securely-encrypted data is supposed to be indistinguishable from truly-random data --- this is the widely-used definition of security for

I'm not the OP, but: Securely-encrypted data is supposed to be indistinguishable from truly-random data --- this is the widely-used definition of security for encryption. If laws are in place requiring that a user reveal any decryption keys upon a court order, then a truly-random file will "look" encrypted and so you may be ordered to provide your key to decrypt the file. Of course, it is truly random, and there is no key, so you would be in contempt of court. Indeed, assuming secure encryption, there is no way to prove that a truly random file is not actually encrypted. In an extreme case, where the state outlaws secrets entirely, possession of truly-random data will look like you are attempting to hide secrets.