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Member since:
2007-02-18
This is getting beyond my level of expertise, but what I'm saying is generating a password of five words is different to figuring out that the password actually has five words.
10^19 is just a lower bound for a 10,000 word dictionary. Counting variations of those words, whether it's a change in casing or a numerical substition, you have at least an order of magnitude more word choices for each word. There's no requirement for there to be syntactical or grammatical structure to the passphrase.
z/OS supports passphrases of 100 characters long, which may be 10 or 20 words long, which obviously has a greater space of valid passwords than the 20 character passwords boxes that some sites are adopting. A 20 word sentence is more memorizable than a 20 character random string let alone a 100 character random string.