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Re: [cryptography] What's the state of the art in factorization?

daemon@ATHENA.MIT.EDU (Paul Crowley)
Fri Jul 9 12:29:22 2010

Date: Fri, 23 Apr 2010 10:57:09 +0100
From: Paul Crowley <paul@ciphergoth.org>
To: Discussion of cryptography and related <cryptography@randombit.net>
CC: Zooko O'Whielacronx <zookog@gmail.com>, 
 tahoe-dev <tahoe-dev@allmydata.org>,
 cryptography@metzdowd.com
In-Reply-To: <Pine.GSO.4.64.1004222214420.22359@ringding.cs.umd.edu>

Jonathan Katz wrote:
>>> [2] http://www.cs.umd.edu/~jkatz/papers/dh-sigs-full.pdf

> On the other hand, there is one published scheme that gives a slight 
> improvement to our paper (it has fewer on-line computations): it is a 
> paper by Chevallier-Mames in Crypto 2005 titled "An Efficient CDH-Based 
> Signature Scheme with a Tight Security Reduction".

My preferred signature scheme is the second, DDH-based one in the linked 
paper, since it produces shorter signatures - are there any proposals 
which improve on that?

Incidentally, the paper doesn't note this but that second scheme has a 
non-tight reduction to the discrete log problem in exactly the way that 
Schnorr does.
-- 
   __
\/ o\ Paul Crowley, paul@ciphergoth.org
/\__/ http://www.ciphergoth.org/

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