[Cryptography] Security of a permute-only system?

[Allen]

> Given a message source that's already "whitened", but otherwise
> unencrypted, how much security can be achieved strictly through an unknown,
> but random permutation?
>
>
If the input bits are all zero, then permuting the bits provides no
security.  More generally, the level of security would depend on the
entropy of the inputs, but since that doesn't sound like a useful property,
I'm not sure it's worth analyzing further.
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