HOTP Counter Calculator
Check RFC 4226 HOTP counter drift against the look-ahead window and price the false-accept risk that window creates.
Inputs
RFC 4226 suggests s = 3 to 5; larger windows trade security for tokens that were pressed too often.
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
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
HOTP Counter
drift = token counter − server counter; the server accepts if 0 ≤ drift ≤ s, where s is the look-ahead window.
Cost of the look-ahead window
false-accept probability per attempt = s ÷ 10^digits, and s × attempts ÷ 10^digits before lockout.
Counter Drift
= 5 counts
Will the Server Accept It
= Yes — the server accepts and resynchronises to the token
Extra Counts Needed to Resynchronise
= 0 counts
False-Accept Chance per Attempt
= 0.000500
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.
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