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RE: How thorough are the hash breaks, anyway?

daemon@ATHENA.MIT.EDU (Whyte, William)
Tue Aug 31 16:18:43 2004

X-Original-To: cryptography@metzdowd.com
X-Original-To: cryptography@metzdowd.com
From: "Whyte, William" <WWhyte@ntru.com>
To: 'Matt Crawford' <crawdad@fnal.gov>,
	Ian Grigg <iang@systemics.com>
Cc: Daniel Carosone <dan@geek.com.au>,
	crypto <cryptography@metzdowd.com>
Date: Tue, 31 Aug 2004 14:46:13 -0400

To be more precise: Your odds of getting a modulus that
you can divide by something are very high. Your odds of
getting a modulus that you can factor efficiently are 
very low.

William

> -----Original Message-----
> From: Matt Crawford [mailto:crawdad@fnal.gov]
> Sent: Monday, August 30, 2004 11:47 AM
> To: Ian Grigg
> Cc: Daniel Carosone; crypto
> Subject: Re: How thorough are the hash breaks, anyway?
> 
> 
> >> certificates.  The public key data is public, and it's a "random"
> >> bitpattern where nobody would ever notice a few different bits.
> >> If someone finds a collision for microsoft's windows 
> update cert (or a
> >> number of other possibilities), and the fan is well and 
> truly buried
> >> in it.
> >
> > Correct me if I'm wrong ... but once finding
> > a hash collision on a public key, you'd also
> > need to find a matching private key, right?
> 
> But the odds are that you'd get an easy-to-factor modulus.  Would the 
> casual relying party ever notice that?  I think not.
> 
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