What if correct horse battery staple, but Pokémon.

cargo install pkpw

$ pkpw -h
pkpw 1.2.0
Jesse Brooklyn Hannah <[email protected]>
What if correct horse battery staple, but Pokémon.

USAGE:
    pkpw [OPTIONS]

OPTIONS:
    -c, --copy                     Copy the generated value to the clipboard instead of displaying
                                   it
    -h, --help                     Print help information
    -l, --length <LENGTH>          Minimum length of the generated password
    -n, --count <COUNT>            Number of Pokémon names to use in the generated password
                                   [default: 4]
    -s, --separator <SEPARATOR>    Separator between Pokémon names in the generated password; either
                                   a single character, "digit" for random digits, or "special" for
                                   random special characters [default: " "]
    -V, --version                  Print version information

use pkpw::generate;
use rand::thread_rng;

let mut rng = thread_rng();
let password = generate(None, 4, " ", &mut rng);

Disclaimer: These are just estimates, I have a physics degree but I'm not a combinatorics or cryptography expert.

Password entropy is calculated using the pool size $R$ and password length $L$ used to generate a password:

$$ E = log_2(R^L) $$

where a brute-force attack will need an average of $2^{E-1}$ guesses to crack a password with $E$ bits of entropy.

By default, pkpw chooses 4 Pokémon names from the pool of 1025 known Pokémon, resulting in an entropy of

$$ E = log_2(1025^4) \approx 40.01 $$

bits. A dictionary attack that knows to use the 1025 known Pokémon names as the pool of values would take $1.104 \times 10^{12}$ guesses on average to correctly guess a password, or about 34 years, 11 months, and 21 days at 1000 guesses per second.

At an average length of about 7.67 characters per Pokémon name, passwords generated using the default settings have an average length of about 34 characters (4 Pokémon names, plus one space separating each name for a total of 3 spaces). A brute-force attack that uses a pool of 95 standard US keyboard characters (alphanumeric, special characters, and space) would be working against

$$ E = log_2(95^{34}) \approx 222.375 $$

bits of entropy, taking an average of $1.748 \times 10^{67}$ guesses, or $5.540 \times 10^{56}$ years, to correctly guess a password.

All Pokémon names are ™ and © The Pokémon Company, Inc. Everything else in this project is © Jesse Brooklyn Hannah and released under the terms of the MIT License.