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:[EMAIL PROTECTED]
> 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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