[8866] in cryptography@c2.net mail archive
Re: septillion operations per second
daemon@ATHENA.MIT.EDU (Helger Lipmaa)
Thu Jun 21 10:43:57 2001
Date: Wed, 20 Jun 2001 23:35:35 +0300 (EET DST)
From: Helger Lipmaa <helger@tml.hut.fi>
To: Barry Wels <crypto6@nah6.com>
Cc: <cryptography@wasabisystems.com>
In-Reply-To: <4.2.0.58.20010620115736.00b3ddb0@pop.xs4all.nl>
Message-ID: <Pine.GSO.4.33.0106202329140.9873-100000@morphine.tml.hut.fi>
MIME-Version: 1.0
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On Wed, 20 Jun 2001, Barry Wels wrote:
> The secret community is also home to the largest collection of
> hyper-powerful computers, advanced mathematicians and skilled language
> experts on the planet. Within the city, time is measured in
> femtosecondsone million billionth of a second, and scientists work in
> secret to develop computers capable of performing more than one
> septillion (1,000,000,000,000,000,000,000,000) operations every
> second. ---
this is of course, science fiction. (remember Planck constant, speed of
light, etc.)
> If they ever build such a computer (or 1.000.000 of them) what would
> that mean for today's key lengths ? I am curious how long a computer
> capable of a septillion operations per second would take to crack one
> 128 bit or 256 bit key. Or a RSA 1024 or 2048 bit key for that matter
> ...
2^128/10^24=340282366920938.4634633746077 (seconds), so even assuming such
a computer would do 10^24 key searches per second (as opposes to 10^24
'instructions'), it would still take ten million years for one computer.
Helger
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