Skip to content
Calcrivo

HOTP Counter Calculator

Check RFC 4226 HOTP counter drift against the look-ahead window and price the false-accept risk that window creates.

Inputs

counts
counts
counts

RFC 4226 suggests s = 3 to 5; larger windows trade security for tokens that were pressed too often.

digits
attempts

Counter Drift

5counts

Will the Server Accept It

Yes — the server accepts and resynchronises to the token

Extra Counts Needed to Resynchronise

0counts

False-Accept Chance per Attempt

0.000500%

False-Accept Chance Before Lockout

0.002500%

Step by step

  1. Values used

    Server counter value = 42 counts; Token counter value = 47 counts; Look-ahead window (s) = 5 counts; Code length = 6 digits; Attempts allowed before lockout = 5 attempts

  2. HOTP Counter

    drift = token counter − server counter; the server accepts if 0 ≤ drift ≤ s, where s is the look-ahead window.

  3. Cost of the look-ahead window

    false-accept probability per attempt = s ÷ 10^digits, and s × attempts ÷ 10^digits before lockout.

  4. Counter Drift

    = 5 counts

  5. Will the Server Accept It

    = Yes — the server accepts and resynchronises to the token

  6. Extra Counts Needed to Resynchronise

    = 0 counts

  7. False-Accept Chance per Attempt

    = 0.000500

  8. False-Accept Chance Before Lockout

    = 0.002500

How it works

HOTP codes come from a counter that only the token increments, so pressing the button without logging in leaves the token ahead of the server. The server compensates by computing the next s codes and accepting any match, then resynchronising its counter. Every code in that window is a valid answer, so the window multiplies the odds of a blind guess by s. Look-ahead is the setting that decides whether users with over-pressed tokens call the helpdesk or silently gain a wider guessing window, and RFC 4226's s = 3 to 5 is the balance point.

Formulas

HOTP Counter

drift = token counter − server counter; the server accepts if 0 ≤ drift ≤ s, where s is the look-ahead window.

s
Look-ahead depth the server searches
drift
How many counts the token has run ahead of the server

Cost of the look-ahead window

false-accept probability per attempt = s ÷ 10^digits, and s × attempts ÷ 10^digits before lockout.

Frequently Asked Questions

How is HOTP Counter calculated?

drift = token counter − server counter; the server accepts if 0 ≤ drift ≤ s, where s is the look-ahead window. HOTP codes come from a counter that only the token increments, so pressing the button without logging in leaves the token ahead of the server. The server compensates by computing the next s codes and accepting any match, then resynchronising its counter. Every code in that window is a valid answer, so the window multiplies the odds of a blind guess by s.

Why does HOTP Counter matter?

Look-ahead is the setting that decides whether users with over-pressed tokens call the helpdesk or silently gain a wider guessing window, and RFC 4226's s = 3 to 5 is the balance point.

What values do I need to enter?

This calculator takes 5 inputs: Server counter value, Token counter value, Look-ahead window (s), Code length, Attempts allowed before lockout. The pre-filled defaults are a realistic starting point — replace them with figures from your own environment for a result you can act on.

Why can't the server just accept any future code?

Because the acceptance window is also the attacker's guessing window: with s unbounded, every code the token will ever produce is valid and the scheme collapses. RFC 4226 keeps s small and requires throttling on top.

What if the token counter falls behind the server?

It cannot happen through normal use, because only the token increments. A negative drift means the code was already consumed — either a replay attempt or a server-side counter that was restored from an old backup.

You might also need