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It'd be interesting to know the length of a sequence that will never be sent over the Internet. In B. Schneier's "Applied Cryptography" there is a discussion of 256-bit numbers, the minimal amount of energy and mass required to guess them and conclusion that "brute-force attacks against 256-bit keys will be infeasible until computers are built from something other than matter and occupy something other than space."

The length of a never-transmitted-on-the-internet sequence is probably much shorter than 256 bits, even 128 bits (as the article mentions).

More details here:

https://security.stackexchange.com/a/25392




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