The knowledge complexity of interactive proof-systems
STOC '85 Proceedings of the seventeenth annual ACM symposium on Theory of computing
Arthur-Merlin games: a randomized proof system, and a hierarchy of complexity class
Journal of Computer and System Sciences - 17th Annual ACM Symposium in the Theory of Computing, May 6-8, 1985
Minimum disclosure proofs of knowledge
Journal of Computer and System Sciences - 27th IEEE Conference on Foundations of Computer Science October 27-29, 1986
Limits on the provable consequences of one-way permutations
STOC '89 Proceedings of the twenty-first annual ACM symposium on Theory of computing
Everything provable is provable in zero-knowledge
CRYPTO '88 Proceedings on Advances in cryptology
Journal of the ACM (JACM)
Journal of the ACM (JACM)
Random oracles are practical: a paradigm for designing efficient protocols
CCS '93 Proceedings of the 1st ACM conference on Computer and communications security
On the Composition of Zero-Knowledge Proof Systems
SIAM Journal on Computing
Perfectly one-way probabilistic hash functions (preliminary version)
STOC '98 Proceedings of the thirtieth annual ACM symposium on Theory of computing
The random oracle methodology, revisited (preliminary version)
STOC '98 Proceedings of the thirtieth annual ACM symposium on Theory of computing
Towards Realizing Random Oracles: Hash Functions That Hide All Partial Information
CRYPTO '97 Proceedings of the 17th Annual International Cryptology Conference on Advances in Cryptology
On the Existence of 3-Round Zero-Knowledge Protocols
CRYPTO '98 Proceedings of the 18th Annual International Cryptology Conference on Advances in Cryptology
SFCS '86 Proceedings of the 27th Annual Symposium on Foundations of Computer Science
FOCS '99 Proceedings of the 40th Annual Symposium on Foundations of Computer Science
Hi-index | 0.00 |
Correlation intractable function ensembles were introduced in an attempt to capture the "unpredictability" property of a random oracle: It is assumed that if R is a random oracle then it is infeasible to find an input x such that the input-output pair (x,R(x)) has some desired property. Since this property is often useful to design many cryptographic applications in the random oracle model, it is desirable that a plausible construction of correlation intractable function ensembles will be provided. However, no plausibility result has been proposed. In this paper, we show that proving the implication, "if one-way functions exist then correlation intractable function ensembles exist", is as hard as proving that "3-round auxiliary-input zero-knowledge Arthur-Merlin proofs exist only for trivial languages such as BPP languages." As far as we know, proving the latter claim is a fundamental open problem in the theory of zero-knowledge proofs. Therefore, our result can be viewed as strong evidence that the construction based solely on one-way functions will be impossible, i.e., that any plausibility result will require stronger cryptographic primitives.