Exact model
Guess a random 256-bit AES key
- Probability:
- 8.64 × 10⁻⁷⁶%
- Odds:
- 1 to (1.16 × 10⁷⁷)
- dBan
- −770.6 dBan
A randomly generated 256-bit AES key leaves a one-shot blind guess with an almost inconceivably small chance of finding the exact key.
Calculation
p = 1 / 2²⁵⁶ ≈ 1 / (1.158 × 10⁷⁷)
Assumptions
The AES key is generated uniformly, and the probability covers one independent key guess. Practical data protection also depends on software and key handling.
Sources
- NIST FIPS 197: Advanced Encryption Standard updated 9 May 2023