Entropy explains how many OTPs exist
Entropy is a log-based measure of uncertainty in a code. With length L and character set size N, the search space is N^L and entropy is L·log2(N). Higher entropy means more possible OTPs, increasing guessing cost. This calculator shows both bits and the approximate search space, so teams can compare numeric-only codes against mixed-character codes quickly. Use it to document improvement.
Rate limits dominate real-world guessing risk
Online attacks rarely achieve large guessing speeds because systems throttle attempts, lock accounts, or require step-up checks. The calculator models an effective online rate using attempts per time window, then estimates median time-to-guess. Even a moderate-entropy OTP becomes highly resistant when the service allows only a few tries per five minutes, especially when monitoring and device signals trigger additional controls.
Validity windows reduce exposure time
OTP security is not just about hardness; it is also about how long a code remains valid. Short validity windows limit how many attempts can occur before replacement. In workflows like authenticator apps or email links, five minutes is common. The calculator includes validity to help reviewers justify tighter windows for high-value actions, while balancing usability for slower channels. Consider clock drift and delivery delays when setting timeouts.
Offline scenarios are different and require protection
If an attacker can validate guesses offline, rate limits disappear and the guessing rate can jump dramatically. That is why OTPs should be verified server-side and never stored in a reversible form. Where temporary secrets or tokens are hashed, strong hashing and secret handling still matter. The offline estimate in this tool is illustrative, intended for risk discussions, not for predicting exact attacker capability. Prevent replay by binding codes to sessions or transaction context.
Using results for policy and audit evidence
Security reviews benefit from consistent, explainable metrics. Record the chosen length, charset, entropy, and enforcement settings such as lockout thresholds and validity. Exported CSV supports control testing, while the PDF snapshot supports change approvals. Over time, compare results across products to standardize OTP requirements and align them with authentication assurance levels and incident learnings. Re-run the calculator after changes to rate limiting, channel, or user population.