4M is a steal for a WebPKI CA private key.

On Thu, Apr 9, 2026 at 2:13 PM Peter Gutmann <pgut001=
[email protected]> wrote:

> Muhammad Usama Sardar <[email protected]> writes:
>
> >I am asking because to my knowledge, the formal (vs. cryptographic/
> >computational) analyses consider that all ECC keys are leaked on the
> advent
> >of CRQC and essentially model it as a switch to leak all ECC keys
>
> All ECC keys are leaked *eventually*.  Like, by the heat death of the
> universe.  Virtually no-one ever gives any estimate of the time and effort
> involved in recovering a key via physics experiment because doing so makes
> things look kinda bad.  One of the few figures we have is from the German
> BSI
> which estimates 100 days and EUR 4M in electricity to recover a single
> 2048-
> bit key on an imagined physics experiment.  So a single quantum physics
> experiment can recover just over three keys a year at a cost of over EUR
> 12M.
>
> In 2017, 7 trillion keys were negotiated for web traffic alone (it's
> probably
> a lot higher now).  So that leaves 6,999,999,999,997 keys unrecoverable,
> and
> that's ignoring the fact that the estimate was for the IFP, which is
> irrelevant, not the DLP, which is the one of interest for IPsec, TLS, SSH,
> WireGuard, etc.
>
> Peter.
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