Name
Abstract | ||
|---|---|---|
We give new proofs for the hardness amplification of efficiently samplable predicates and of weakly verifiable puzzles which
generalize to new settings. More concretely, in the first part of the paper, we give a new proof of Yao’s XOR-Lemma that additionally
applies to related theorems in the cryptographic setting. Our proof seems simpler than previous ones, yet immediately generalizes
to statements similar in spirit such as the extraction lemma used to obtain pseudo-random generators from one-way functions
[Håstad, Impagliazzo, Levin, Luby, SIAM J. on Comp. 1999].
In the second part of the paper, we give a new proof of hardness amplification for weakly verifiable puzzles, which is more
general than previous ones in that it gives the right bound even for an arbitrary monotone function applied to the checking
circuit of the underlying puzzle.
Both our proofs are applicable in many settings of interactive cryptographic protocols because they satisfy a property that
we call “non-rewinding”. In particular, we show that any weak cryptographic protocol whose security is given by the unpredictability
of single bits can be strengthened with a natural information theoretic protocol. As an example, we show how these theorems
solve the main open question from [Halevi and Rabin, TCC2008] concerning bit commitment.
|
Year | DOI | Venue |
|---|---|---|
2011 | 10.1007/978-3-642-19571-6_2 | TCC |
Keywords | DocType | Citations |
monotone function,satisfiability,one way function,cryptographic protocol,pseudo random generator | Conference | 1 |
PageRank | References | Authors |
0.35 | 23 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Thomas Holenstein | 1 | 375 | 24.93 |
| Grant Schoenebeck | 2 | 509 | 39.48 |