Concept explaination by ItsMe Prince
JBSWY3DPEHPK3PXPShared secret between server and authenticator
Current Unix timestamp divided by 30 seconds (default interval).time_step = floor(current_time / 30)
Secret key + time step processed through HMAC-SHA1 algorithm.hash = HMAC-SHA1(secret, time_step)
Extract 4-byte dynamic binary code from HMAC result using offset bits.offset = last_4_bits(hash)
Convert truncated bytes to 31-bit unsigned integer.number = bytes_to_int(hash[offset:offset+4]) & 0x7FFFFFFF
Take modulo 1,000,000 to get 6-digit number, pad with zeros if needed.otp = number % 1,000,000
The TOTP algorithm follows this formula:
Both device and server share the same secret. Since time is synchronized (using UTC), both can independently compute identical OTPs without network communication.
TOTP provides strong security through: