Pustam | पुस्तम | পুস্তম🇳🇵
@pustam_egr@mathstodon.xyz
A lifelong #philomath, #STEM (#Science, #Technology, #Engineering, and #Mathematics) enthusiast, #traveller, #adventurer, and #multipotentialite with interests spanning multiple fields, including pure and applied mathematics, basic and applied sciences, mathematical modelling and analysis, scientific computing, information security (#InfoSec), #geography, #history, and #philosophy.
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This is the part of 2FA/TOTP that many people don’t realize:
Your phone isn’t receiving the 6-digit code from the server.
Instead, your authenticator app acts like a specialized cryptographic calculator. 🧮🔐
It takes a shared secret key, combines it with the current time, and applies the TOTP algorithm to generate a temporary 6-digit code.
At the same time, the server independently performs the same calculation using its copy of the secret key and the same time counter.
Same secret + same time counter + same algorithm = same result.
That’s why your authenticator app can generate the correct code without receiving it from the server.
It’s a simple idea, but a brilliant application of cryptography.
You can even test this yourself: add the same TOTP secret to both Google Authenticator and Microsoft Authenticator. Even if you set them up at different times, both apps can independently generate the same 6-digit code at the same time.
And here’s another important point:
The algorithm doesn’t need to be secret.
TOTP is based on publicly known, standardized cryptographic algorithms such as HMAC. What needs to remain secret is the shared secret key.
So:
🧮 Algorithm/math: Can be publicly known.
🔑 Secret key: Must remain private. Never share it.
⏱️ Time: Isn’t secret.
🔐 Security: Comes from protecting the secret key, not from hiding the algorithm.
That’s a core principle of modern cryptography: A cryptographic system should remain secure even when the algorithm is publicly known. The secret is the key.
#2FA #TwoFactor #Security #Cybersecurity #SecretKey #Authentication #Cryptography #Math #TOTP #OTP #AuthenticatorApp #Internet #SecurityResearch
