Backing up Private Keys

Robert J. Hansen rjh at
Mon Apr 15 23:17:25 CEST 2013

On 4/15/2013 7:33 AM, Ashley Holman wrote:
> So 65 years.  I know this is a really long time, but it's not as
> impressive as millions of years would be.  Does this mean that people in
> the 22nd / 23rd century might be able to crack old passphrased keys
> really easily?

No.  This isn't the sort of question that Moore's Law is useful in
addressing.  You need to get down into the physical limits of the
universe -- particularly things like the Bekenstein and Landauer bounds,
the Margolus-Levitin limit, and so on.  This has been discussed at
length on this list before.  A good synopsis can be found at:

It's worth noting that these limits are all physical constraints of the
universe.  As such, if a computer operating at the physical limits of
the universe can't brute-force something, it's fair to say that it
simply cannot be brute-forced.

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