Entropy

What is Entropy?

In cryptography, entropy is a measure of randomness or unpredictability. It is the fundamental "raw material" used to generate secure private keys and seed phrases that cannot be guessed by humans or computers.

How does Entropy work?

1. A system gathers "noise" from various sources (e.g., mouse movements, hardware sensors, system clock).
2. This raw data is processed to create a pool of high-quality randomness.
3. A cryptographic algorithm uses this pool to generate a long string of random bits.
4. This bitstring (entropy) is then used to derive a private key or a mnemonic seed phrase.
5. The higher the entropy (measured in bits), the more difficult it is to brute-force the resulting key.

Why does Entropy matter?

Without sufficient entropy, a private key becomes predictable. If an attacker knows the source or method of a "random" generation, they can recreate the same key and steal the associated funds.

Key features of Entropy

• Measured in bits (e.g., 128 or 256 bits)
• Essential for secure key generation
• Prevents brute-force attacks
• Sourced from unpredictable physical or system events
• Foundation of cryptographic "uniqueness"

Examples of Entropy

When you set up a new hardware wallet, it uses an internal True Random Number Generator (TRNG) to create 256 bits of entropy. This entropy is then converted into the 24-word recovery phrase that gives you control over your assets.