How is entropy and bits determined?

Gomar

Limp Gawd
Joined
Oct 25, 2007
Messages
315
How is entropy and bits determined?

if my password has 10 characters, then:
95 ^ 10 - 59,873,693,923,837,894,000 [with symbols]
62 ^ 10 - 839,299,365,868,340,200 [lower&upper case+numbers]
26 ^ 10 - 141,167,095,653,376 [lower/upper case only]
10 ^ 10 - 10,000,000,000 [numbers]

Thus, even a 5 character pw is secure as the size of the pool of characters is very large.

How does 2^128(bits) relate to this? 2 of what? 2 bits, 1 or 0?

AMT pin has 4 digits. That is only 10^4 = 10000

<t3 Q%f#8S
Entropy: 48.3 bits
close to
G5riCf8A3s
Entropy: 45.7 bits

DRSVNBJXLR
Entropy: 41 bits

better and less to type than

41264795296359061794
Length: 20
Entropy: 36.8 bits

but finally:
y~g1 bTehQ xPr4j1>)p9Z%u}
Length: 25
Strength: Very Strong
Entropy: 130.4 bits
Charset Size: 93 characters


http://lastbit.com/pswcalc.asp
pw length: 8
Speed: 10m/sec
# comps: 10
Full ASCII
up to 28 months [2.3years].

Cool. Thus proving an 8 character pw is more than secure against anyone not hooking up 1000 PCs.
 
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