[146812] in cryptography@c2.net mail archive
Re: [Cryptography] Why prefer symmetric crypto over public key
daemon@ATHENA.MIT.EDU (Andrea Shepard)
Sun Sep 8 11:53:34 2013
X-Original-To: cryptography@metzdowd.com
Date: Sun, 8 Sep 2013 01:20:36 -0700
From: Andrea Shepard <andrea@persephoneslair.org>
To: Crypto <cryptography@metzdowd.com>
In-Reply-To: <20130907204534.604fbb6c@heidi.cb.piermont.com>
Cc: Tony Arcieri <bascule@gmail.com>, "Perry E. Metzger" <perry@piermont.com>
Errors-To: cryptography-bounces+crypto.discuss=bloom-picayune.mit.edu@metzdowd.com
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On Sat, Sep 07, 2013 at 08:45:34PM -0400, Perry E. Metzger wrote:
> I'm unaware of an ECC equivalent of the Shor algorithm. Could you
> enlighten me on that?
Shor's algorithm is a Fourier transform, essentially. It can find periods =
of
a function you can implement as a quantum circuit with only polynomially ma=
ny
invocations. In particular, when that function is exponentiation in a grou=
p,
it can find the orders of group elements. This allows finding discrete
logarithms in BQP for any group in which exponentiation is in P.
--=20
Andrea Shepard
<andrea@persephoneslair.org>
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