this post was submitted on 16 Dec 2023
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I don't know about the key length of a TPM. If I had to guess I'd say something like 256 or 512 bits, or even 1024. But I was just addressing the PIN the user might type in to unlock their phone. That's something the user can control, and it provides plenty of security against naive brute force attacks by people not sophisticated enough to disassemble the phone. I assume that group includes the majority of police departments and any cop whose main work is outside of a lab.
Here in the states, in municipal precincts, we can expect they'll have some phone cracking software on hand, so if your TPM is backdoored, your PIN isn't going to matter much. If yours is an early phone (notoriously the iPhone 5, I think) that doesn't have a TPM, then it might be susceptible to exploits that lift the limits of tries, in which case a four digit PIN can be cracked by a machine using brute force.
Usually 128 or 256 bit root keys for symmetric keys, almost always 256 bits for ECC for asymmetric keys these days (used to be RSA between 1024 and 2048 bit)