Can someone explain to me how OPRF is based on OT extensions? I'm currently reading papers about private set intersection problem that uses efficient OT-based protocols based on OPRF, the link of the
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1 We need to use OPRF (oblivious pseudo random function) on very large sets. Unfortunately most of algorithms use elliptic curves and so this algorithms are very slow. Does exist some relaxation of oprf (like the function is random only on generic input) which is based on symmetric cryptography or something similar and so is very effective?
Conceptatlly, OPRF is equivalent to OT in the context of PSI. Moreover, your implementation is built from a classical OPRF instance which based on OMGDH problem.
The GMW paper I linked in my answer shows that OT => MPC, and OPRF is a form of MPC for a specific functionality. Then, adding verifiability can be done generically using ZKP. But all of that follows from folklore generic compilers, I don't think anyone wrote down this very specific concrete instantiation.
In the paper Private Set Intersection in the Internet Setting From Lightweight Oblivious PRF, Chase et al. shows that a PSI scheme can be achieved by using an oblivious PRF (OPRF). They summarized a
Now Bob wants to use this PRF using Alice's key. The OPRF is as follows. Bob has an input of size n and wants a random output of size k Alice seeds the PRG with her key [OT] They execute an OT protocol for each bit in Bob's input [OT] Alice creates two random messages of size k-bits {bits0, bits1} [OT] If the current bit of Bob's input is 0 Bob chooses bits0, otherwise chooses bits1 Finally ...
Can we convert a pseudorandom function (PRF) to an Oblivious PRF (OPRF ...
Is there any OPRF (oblibivious pseudo random random functions) between one receiver (1 input) and n senders (n inputs)? any references to read? Ask Question Asked 8 years, 1 month ago Modified 8 years, 1 month ago
I believe this can be achieved through standard composition of oblivious PRF (OPRF) and secure two-party composition (2PC). Namely, let be the functionality of OPRF, and let be the functionality of permutation. Then, the desired protocol is just to realize the functionality . That can be achieved by any generic 2PC. Of course, we may want to achieve efficiency better than generic 2PC. I guess ...
There are two parts to the protocol: an OPRF to negotiate blinded tokens with a payment that can later be redeemed for service, and DLEQ proof to verify that the tokens are unlinkable.
Have a look at the OPRF used in OPAQUE (which essentially blinds a hash with an exponentiation, sends that to the server, who exponentiates with a secret and sends the result back which is then unblinded).
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EXPLAIN meaning: 1. to make something clear or easy to understand by describing or giving information about it: 2…. Learn more.
To explain is to make plain, clear, or intelligible something that is not known or understood: to explain a theory or a problem. To elucidate is to throw light on what before was dark and obscure, usually by illustration and commentary and sometimes by elaborate explanation: They asked him to elucidate his statement.
Explain, elucidate, expound, interpret imply making the meaning of something clear or understandable. To explain is to make plain, clear, or intelligible something that is not known or understood: to explain a theory or a problem.
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explain (third-person singular simple present explains, present participle explaining, simple past and past participle explained) (transitive) To make plain, manifest, or intelligible; to clear of obscurity; to illustrate the meaning of.
Explain is the most general of these words, and means to make plain, clear, and intelligible. Expound is used of elaborate, formal, or methodical explanation: as, to expound a text, the law, the philosophy of Aristotle.