As those of you who have discussed RSA keys size requirements with me
over the years will attest to, I always held that 1024-bit RSA keys
could not be factored by anyone, including the NSA, unless the opponent
had devised novel improvements to the theory of factoring large
composites unknown in the open literature. I considered this to be
possible, but highly unlikely. In short, I believed that users' desires
for keys larger than 1024-bits were mostly driven by a vague feeling
that "larger must be better" in some cases, and by downright paranoia
in
other cases. I was mistaken.
Based upon requests voiced by a number of attendees to this year's
Financial Cryptography conference <http:/www.fc02.ai>, I assembled and
moderated a panel titled "RSA Factoring: Do We Need Larger Keys?". The
panel explored the implications of Bernstein's widely discussed
"Circuits for Integer Factorization: a Proposal".
http://cr.yp.to/papers.html#nfscircuit
Although the full implications of the proposal were not necessarily
immediately apparent in the first few days following Bernstein's
publication, the incremental improvements to parts of NFS outlined in
the proposal turn out to carry significant practical security
implications impacting the overwhelming majority of deployed systems
utilizing RSA or DH as the public key algorithms.
Coincidentally, the day before the panel, Nicko van Someren announced at
the FC02 rump session that his team had built software which can factor
512-bit RSA keys in 6 weeks using only hardware they already had in the
office.
A very interesting result, indeed. (While 512-bit keys had been broken
before, the feasibility of factoring 512-bit keys on just the computers
sitting around an office was news at least to me).
The panel, consisting of Ian Goldberg and Nicko van Someren, put forth
the following rough first estimates:
While the interconnections required by Bernstein's proposed architecture
add a non-trivial level of complexity, as Bruce Schneier correctly
pointed out in his latest CRYPTOGRAM newsletter, a 1024-bit RSA
factoring device can likely be built using only commercially available
technology for a price range of several hundred million dollars to about
1 billion dollars. Costs may well drop lower if one has the use of a
chip fab. It is a matter of public record that the NSA as well as the
Chinese, Russian, French, and many other intelligence agencies all
operate their own fabs.
Some may consider a price tag potentially reaching $1B prohibitive. One
should keep in mind that the NRO regularly launches SIGINT satellites
costing close to $2B each. Would the NSA have built a device at less
than half the cost of one of their satellites to be able to decipher the
interception data obtained via many such satellites? The NSA would have
to be derelict of duty to not have done so.
Bernstein's machine, once built, will have power requirements in the MW
to operate, but in return will be able to break a 1024-bit RSA or DH key
in seconds to minutes. Even under the most optimistic estimates for
present-day PKI adoption, the inescapable conclusion is that the NSA,
its major foreign intelligence counterparts, and any foreign commercial
competitors provided with commercial intelligence by their national
intelligence services have the ability to break on demand any and all
1024-bit public keys.
The security implications of a practical breakability of 1024-bit RSA
and DH keys are staggering, since of the following systems as currently
deployed tend to utilize keys larger than 1024-bits:
- HTTPS
- SSH
- IPSec
- S/MIME
- PGP
An opponent capable of breaking all of the above will have access to
virtually any corporate or private communications and services that are
connected to the Internet.
The most sensible recommendation in response to these findings at this
time is to upgraded your security infrastructure to utilize 2048-bit
user keys at the next convenient opportunity. Certificate Authorities
may wish to investigate larger keys as appropriate. Some CA's, such as
those used to protect digital satellite content in Europe, have already
moved to 4096-bit root keys.
Undoubtedly, many vendors and their captive security consultants will
rush to publish countless "reasons" why nobody is able to build such a
device, would ever want to build such a device, could never obtain a
sufficient number of chips for such a device, or simply should use that
vendor's "unbreakable virtual onetime pad" technology instead.
While the latter doesn't warrant comment, one question to ask
spokespersons pitching the former is "what key size is the majority of
your customers using with your security product"? Having worked in this
industry for over a decade, I can state without qualification that
anybody other than perhaps some of the HSM vendors would be misinformed
if they claimed that the majority - or even a sizable minority - of
their customers have deployed key sizes larger than 1024-bits through
their organization. Which is not surprising, since many vendor offerings
fail to support larger keys.
In light of the above, I reluctantly revoked all my personal 1024-bit
PGP keys and the large web-of-trust that these keys have acquired over
time. The keys should be considered compromised. The revoked keys and my
new keys are attached below.
--Lucky Green
-----BEGIN PGP PUBLIC KEY BLOCK-----
Version: PGP 7.1
Comment: Problems decrypting this email? Upgrade from PGP 1.x/2.x!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=GmB8
-----END PGP PUBLIC KEY BLOCK-----