Re: Secure passwords?
- From: jKILLSPAM.schipper@xxxxxxxxxx
- Date: 02 Dec 2005 16:18:14 GMT
Slight correction <slight.correction@xxxxxxxxxxxxxxxxxxx> wrote:
> In general, I think your reasoning is right, but you didn't spend
> enough time on the math.
> 10000*100 = 10^6, not 10^7. (10^6)^6 is between 2^119 and 2^120.
>
> (Also, (10^7)^6 = 10^42, not 10^56. Perhaps you were thinking
> ahead to the next example where 8 is the proper exponent, rather
> than 6.)
> a-z is 26; A-Z is another 26; 0-9 is 10 plus "ten miscellaneous
> characters", adds to 72 possible characters. That would mean
> 72**8 or about 2^49. Still, as you said, much worse than the
> above. (Where did your 40 come from?)
> What I've heard is that English text is about 1.2 to 1.4 bits of
> entropy per character. I don't know if that includes the spaces
> between words. Even if it does, 6 6-letter words in a phrase
> would yield 41 characters or at most just over 57 bits of entropy.
Duh! And I knew all that! That'll teach me not to try math without
writing it out on paper first, taking some time, and not being
distracted.
Oops.
Anyway, given the above theorems the diligent student can easily find
the good answer. ;-)
Joachim
.
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- Secure passwords?
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