Re: A theoretical method to brute force 128 bit RSA in arbitrary time.

From: Bryan Olson (nameless_at_nowhere.org)
Date: 01/08/05 

Date: Sat, 08 Jan 2005 20:23:21 GMT

Phil Carmody wrote:
[Phil]
>>>Erm, are you claiming you are in an inertial reference frame?
[...]
> Just for reference, if I ask a direct question and get a response
> which does not address the question, I tend to treat my corespondent
> as either a troll or a loon, and, either way, not worthy of further
> exchanges.

Well, the answer to the direct question is 'no'; it's important
that the traveler does *not* stay an inertial frame. The
traveler's initial acceleration and final slow-down happen close
to the earth, so they're approximately local. While the
traveler is moving away, and later toward the earth-based party,
both are in inertial frames and both observe the other's time as
slowed down.

The weird part happens when the traveler, far from the earth,
turns around. The earth-based party remains in an inertial
frame, and sees the traveler's time as slowed whichever
direction he's moving (with a brief return to normality during
the turn). The traveler view of the time on earth rapidly
changes.

The effect follows from the speed of light being constant
relative to any inertial frame. The traveler's view of the time
on earth is based on how long it took light from the earth to
reach him. When the traveler changes inertial frames, he
changes his view of the frame in which light moves, changing his
calculations of how old a view of earth he can see. In his
previous frame, light was showing a recent view of earth; in his
new frame, that same view shows earth ages ago.

The attack still doesn't amount to much. The intelligence life
of data is relative to the user, not the attacker. RSA at 128
bits is trivial anyway. 

-- 
--Bryan

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