Michael Kjörling <2695bd53d...@ewoof.net> wrote on 20/03/2024 at 16:16:41+0100:

> On 20 Mar 2024 15:45 +0100, from p...@debian.org (Pierre-Elliott Bécue):
>>> it should be like 32 symbols with special symbols?  Or this paragraph
>>> in a handbook is rather paranoid?
>> 
>> It's not paranoid.
>
> For 82 symbols (mixed-case alphanumeric plus 20 special characters),
> 32 characters is equivalent to about 203 bits. (82^32 ~ 2^203 or,
> expressed differently, log_2(82^32) ~ 203.)
>
> At a rate of 2^50 guesses per second, that will take about 3.6*10^38
> _years_ to go through. A widely agreed-upon figure for the age of the
> universe is around 1.4*10^10 years. Therefore such a password would
> take, very roughly, 10^28 times the age of the universe to brute
> force.
>
> Of course, with only 32 characters actually chosen, the character set
> size can in principle be reduced to 32, yielding 32^32 = 2^160
> possibilities. At the same rate, that would take about 4.1*10^25
> years; a measly 10^15 times the age of the universe.
>
> I sincerely doubt that guessability of such a password will be the
> weak link in overall system security.

I'm referring to the paragraph in the handbook, not the 32 random
character password.

-- 
PEB

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