> From: [email protected] [mailto:discuss-
> [email protected]] On Behalf Of Bill Bogstad
> 
> And checksums can be incorrectly generated/verified by any hardware at any
> time.
> I claim that 100% data integrity is impossible. 

You have some control over the type of cksum used.  On zfs, by default they use 
fletcher4, which is very strong against accidental (random) bitflips, but 
easily fooled by a deliberate attacker.  If you completely overwrite data with 
random garbage, then you have a probability of approx 1 in 4 billion producing 
a fletcher collision.  But the fewer bitflips exist between the actual data and 
the corrupted data, the lower the probability of cksum collision.  For example, 
I think fletcher will 100% reliably detect a single bitflip (I may be wrong, 
but I think so) but when you layer in more and more randomly corrupted bits, 
then the probability of the fletcher failing is increased and approaches as I 
said, a very low maximum probability of 2^-32.  (Non-intelligent attacker 
assumed.  Random corruption.)

You may if you wish, choose SHA-256.  In which case, even an intelligent 
attacker cannot, with all the cpu's presently on earth, ever find a collision 
in 3.8*10^52 years.  Considerably longer than the life of our solar system.   
(Estimated 9.6 billion cpu cores each capable of 10m SHA256 calculations per 
second). 

So as you claimed, not 100%.  But there are 78 nines.  99.9999999....%
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