Abstract
We present a new constant-round protocol for nonmalleable zero-know ledge. Using this protocol as a subroutine, we obtain a new constant-round protocol for nonmalleable commitments. Our constructions rely on the existence of (standard) collision-resistant hash functions. Previous constructions either relied on the existence of trapdoor permutations and hash functions that are collision resistant against subexponential-sized circuits or required a superconstant number of rounds. Additional results are the first construction of a nonmalleable commitment scheme that is statistically hiding (with respect to opening) and the first nonmalleable commitments that satisfy a strict polynomial-time simulation requirement. Our approach differs from the approaches taken in previous works in that we view nonmalleable zero-knowledge as a building block rather than an end goal. This gives rise to a modular construction of nonmalleable commitments and results in a somewhat simpler analysis.
| Original language | English |
|---|---|
| Pages (from-to) | 702-752 |
| Number of pages | 51 |
| Journal | SIAM Journal on Computing |
| Volume | 38 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2008 |
| Externally published | Yes |
Keywords
- Cryptography
- Man-in-the-middle
- Nonblack-box simulation
- Nonmalleability
- Round-complexity
- Zero-knowledge
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