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A comment on NULL license plate not such a bright idea. Parent comment
The strength of a password / passphrase increases with the power of 2 raised to the bits of entropy.
That's an exponential proportion, rather than a linear one. But a proportion all the same.
Example:
Given mixed-case alphanumeric (62 characters) and an 8-character password length, the number of combinations is:
62^8 = 218,340,105,584,896 (keyspace -- 218 quadrillion) l(62^8)/l(2) = 47.6 (bits of entropy)
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The strength of a password / passphrase increases with the power of 2 raised to the bits of entropy.
That's an exponential proportion, rather than a linear one. But a proportion all the same.
Example:
Given mixed-case alphanumeric (62 characters) and an 8-character password length, the number of combinations is:
A 10 character password (if randomly chosen from the same character set) has 10^17 possibly combinations (about 4,000x more), and 59.4 bits of entropy, 11.8 bits more. 2^11 = 2048.