Abstract | ||
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We provide a new characterization of certain zero-knowledge protocols as non-interactive instance-dependent commitment-schemes (NIC). To obtain this result we consider the notion of V-bit protocols, which are very common, and found many applications in zero-knowledge. Our characterization result states that a protocol has a V-bit zero-knowledge protocol if and only if it has a NIC. The NIC inherits its hiding property from the zero-knowledge property of the protocol, and vice versa. Our characterization result yields a framework that strengthens and simplifies many zero-knowledge protocols in various settings. For example, applying this framework to the result of Micciancio et al. [18] (who showed that some problems, including GRAPH-NONISOMORPHISM and QUADRATIC-RESIDUOUSITY, unconditionally have a concurrent zero-knowledge proof) we easily get that arbitrary, monotone boolean formulae over a large class of problems (which contains, e.g., the complement of any random self-reducible problem) unconditionally have a concurrent zero-knowledge proof. |
Year | DOI | Venue |
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2007 | 10.1007/978-3-540-73420-8_30 | ICALP |
Keywords | Field | DocType |
commitment scheme,zero knowledge,zero knowledge proof | Discrete mathematics,Random self-reducibility,Combinatorics,Computer science,If and only if,Versa,Zero-knowledge proof,Monotone polygon | Conference |
Volume | ISSN | ISBN |
4596 | 0302-9743 | 3-540-73419-8 |
Citations | PageRank | References |
8 | 0.49 | 21 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Bruce M. Kapron | 1 | 308 | 26.02 |
Lior Malka | 2 | 386 | 12.65 |
Srinivasan Venkatesh | 3 | 201 | 24.46 |