How to Generate Secure Passwords: The Math of Password Entropy

Published: 2026-02-01 | Read Time: 4 min read

Learn why password length beats complexity, calculate Shannon entropy in bits, and generate cryptographically random passwords.

Frequently Asked Questions

What constitutes a mathematically strong password?

Any password with 80+ bits of entropy (16+ random characters or 5+ Diceware words) is considered safe against brute-force attacks.