Determining Password Strength and Entropy
A secure password must be resistant to automated cracking attempts. We measure password strength mathematically using Bits of Entropy, which quantifies the randomness or unpredictability of the character string.
The entropy formula is:
$$E = L \times \log_2(R)$$
Where:
* \(E\) is the password entropy in bits.
* \(L\) is the length of the password (character count).
* \(R\) is the pool size of available characters (charset size).
Each additional character increases entropy linearly, while expanding the character pool (adding numbers, uppercase letters, and symbols) increases it logarithmically. Length is the primary driver of brute-force security.