Password Security & Cryptographic Entropy
How Password Entropy Measures True Security
Password strength is mathematically defined by Information Entropy, measured in bits: E = L * log2(R), where L is the character length and R is the size of the character pool (uppercase, lowercase, numbers, symbols).
A password with 60 bits of entropy requires trillions of calculations to crack, while passwords exceeding 80 bits are considered computationally infeasible to break using modern GPU cracking clusters (such as hashcat rigs).
❓ Frequently Asked Questions
Is length or complexity more important in a password?
Length is exponentially more effective at increasing entropy than character complexity. A 16-character passphrase composed of random words is significantly harder to crack than an 8-character complex password.