Password length and bit number of encryption algorithm?

In a different thread Mxsmanic wrote:
> On Windows machines, there are 225 printable characters (including the
> space), and if you use them all randomly in a 16-character password,
> you can obtain a keyspace of about 125 bits. Still insignificantly
> small compared to the keyspace of AES-256.

Does that mean if I have the choice between AES-256 and AES-128
combined with a 16-character password I could just as well take
AES-128 being no less secure than AES-256? Do longer passwords make
only sense for encryption algorithms with a higher bit number?

Paul
Received on Tue Jan 3 03:41:44 2006