The solutions for exercise09 of Missingsemester(2020)
Lecture 09. Security and Cryptography
Entropy
Suppose a password is chosen as a concatenation of four lower-case dictionary words, where each word is selected uniformly at random from a dictionary of size 100,000. An example of such a password is
correcthorsebatterystaple
. How many bits of entropy does this have?
In order to calculate the bits of entropy, we need to know how many possibilites there.
We can easily know the combinations count are $100000^4$ and the bits of entropy are $log_2 (100000^4)\approx 66\ bit$ 🤗