> Yes. Shor's algorithm can compute finite field and elliptic curve > discrete logs, so an attacker who saved a transcript of g^a, g^b over > the wire today can, if/when quantum computers become available, > compute a, b, and g^ab and retroactively decrypt the rest of the > encrypted transcript.
... Shit. -- Please do not email me anything that you are not comfortable also sharing with the NSA. On Jan 24, 2015, at 1:18 PM, Taylor R Campbell <[email protected]> wrote: > Date: Sat, 24 Jan 2015 13:07:29 -0800 > From: Tao Effect <[email protected]> > > So, I understand that QM algos can pretty much dismantle all > popular asymmetric encryption algos with enough q-bits, but I > haven't thought hard enough to see if they also can be used to > compromise communications that used DH to do PFS underneath the > initial handshake. > > Yes. Shor's algorithm can compute finite field and elliptic curve > discrete logs, so an attacker who saved a transcript of g^a, g^b over > the wire today can, if/when quantum computers become available, > compute a, b, and g^ab and retroactively decrypt the rest of the > encrypted transcript.
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