Re: who goes 1st problem
[Adam and I are taking this discussion off-list to spare your inboxes, but this message seemed particularly relevant. Perhaps we'll come back later if we come up with anything we think will be of general interest.] -J On Tue, 11 May 2004, Adam Back wrote:
Anyway the who goes 1st problem definition has my interest piqued: I am thinking this would be a very practically useful network protocol for privacy, if one could find a patent-free end-2-end secure (no server trust), efficient solution. Another desirable feature I think is to not use too much funky crypto, people are justifiably nervous about putting experimental crypto into standards, even if it has security proofs until some peer review has happened.
Agreed. Ninghui Li's RSA OSBEs might be the answer; they're not quite as elegant as the IBE version, but they work with blinded RSA signatures, and so should be patent-free by next year, assuming Ninghui doesn't seek any patents. Section 4 of his PODC paper describes the RSA implementation. He also has a new paper which does neat things with commitments that I haven't wrapped my mind around yet. Actually, we might also consider contacting Dan Boneh at some point; he seems to be interested in the proliferation of IBE, and might be sympathetic to the needs of the IETF to have free standards, especially considering the exposure it'd get for his system. However, we need to define just what we need to accomplish. Since my lab works in trust negotiation, we think in terms of policies a lot, whereas SSL just assumes you know what certs you want to send to whom. But let's assume the SSL model for simplicity. The second issue, now that I think of it in this context, would be how you actually get your certs to the other guy. Hidden credentials, as Ninghui pointed out, assume you have some means for creating the other guy's cert, eg., a template "(nym):Senior_Agent:(current year)" producing "Bob:Senior_Agent:2004". The OSBE paper, OTOH, assumes we're going to exchange our certificates, just without the CA signatures. Then I can send you messages you can only read if you really do have a signature on that cert. But I've always thought that was problematic, since why would honest people bother to connect then use fake certs? The attacker doesn't need to see the signature - he believes you. So honest users would need to regularly give out fake certs so they can hide their legit behavior among the fake connects. Will Winsborough also suggests this with the notion of ACK policies - you *always* give people something they ask for, so they can't tell what you have and what you don't. So maybe what we really want is some sort of fair exchange or something, where I can show you my valid certs as you show me the valid certs of your own. If one side is guessable, we've discussed this sort of thing with hidden creds: E("Hi Bob, since you're a senior agent, you can see my agent credential: 'Alice:Denver field office agent (apprentice):2004", "Bob:Senior_Agent:2004") E("Hi Bob, since you're a BYU alumnus, you can see my BYU credential: 'Alice:Senior:computer science:3.96 gpa:2004", "Bob:Senior_Agent:2004") etc. So that's an open problem. But let's assume guessable-certs, since that's the only way I know how to really keep certs and policies safe for now. The OSBE-RSA math still works. So we're good so far, except that the RSA approach is interactive. Section 4 says that in the RSA scheme, Alice sends her cert /and blinded signature/ to Bob (which may or may not be bogus), and then Bob can send back an encrypted message. (In HC and IBE-OSBEs, Bob doesn't need the blinded signature to use as a public key). But maybe Robert's improved secret sharing scheme from the new HC paper can give us some ideas: 1. Alice sends blinded signatures for each of her relevant certs, not revealing which signature goes with each cert, and not revealing the cert contents. 2. Bob generates the contents of each of Alice's certs relevant to his policy, and simply generates each possible combination of hash-of-cert-contents and blinded-signature. One from each row will be a match-up between contents and signature, and Alice will have to figure out which. Unfortunately, this requires n^2 multiplies and exponentiations. -J
On Tue, May 11, 2004 at 09:10:35PM +0000, Jason Holt wrote:
[...] issue [...] would be how you actually get your certs to the other guy. Hidden credentials, as Ninghui pointed out, assume you have some means for creating the other guy's cert, [...] The OSBE paper, OTOH, assumes we're going to exchange our certificates, just without the CA signatures. Then I can send you messages you can only read if you really do have a signature on that cert.
I think this is ok. Would suggest you remove the nym field, have one-use credentials (to avoid linkability across provers), and only reveal separate nym cert after have satisfied policy.
But I've always thought that was problematic, since why would honest people bother to connect then use fake certs?
Again ok. You send either fake cert, or real cert for as many attributes as the CA issues. You may not even know what some of the attributes that the CA issues are, all you know is the number of them. You use and / or connectives between them (using k xor r, k; or r, r respectively) but using OBSE algorithm (xor refers to improved HC scheme by HC authors in http://eprint.iacr.org/2004/109/).
The attacker doesn't need to see the signature - he believes you. So honest users would need to regularly give out fake certs so they can hide their legit behavior among the fake connects.
Yes, that works, but is defined required part of protocol; that way optimal cover (within limits of partial policy concealment) is given for sensitive attributes, policies etc.
But maybe Robert's improved secret sharing scheme from the new HC paper can give us some ideas:
1. Alice sends blinded signatures for each of her relevant certs, not revealing which signature goes with each cert, and not revealing the cert contents.
Sounds same as above.
2. Bob generates the contents of each of Alice's certs relevant to his policy, and simply generates each possible combination of hash-of-cert-contents and blinded-signature. One from each row will be a match-up between contents and signature, and Alice will have to figure out which. Unfortunately, this requires n^2 multiplies and exponentiations.
That's true. Think there is a trade-off between degree of concealment, and amount of permutations prover has to try. You could perhaps define an ordering of attributes safely, followed by dealing with unordered undeclared attributes. Other thought perhaps a FPGA like layout where all possible connectives patterns are represented, might allow to specify arbitrary boolean formulae with and / or connectives with full policy concealment but less space and time efficient. (Calling it prover is kind of odd I find when the prover convinces only himselfhe satisfies policy by default and optionally chooses whether to disclose that to verifier. And "the prover" is the passive entity receiving encrypted comms, which is back-to-front to usual prover-verifier comms pattern. Maybe sender and recipient is better.) Adam
participants (2)
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Adam Back
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Jason Holt