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ECCC
2006
88views more  ECCC 2006»
14 years 10 months ago
On Probabilistic versus Deterministic Provers in the Definition of Proofs Of Knowledge
Abstract. This article points out a gap between two natural formulations of the concept of a proof of knowledge, and shows that in all natural cases (e.g., NP-statements) this gap ...
Mihir Bellare, Oded Goldreich
ECCC
2007
96views more  ECCC 2007»
14 years 10 months ago
Linear programming bounds for codes via a covering argument
We recover the first linear programming bound of McEliece, Rodemich, Rumsey, and Welch for binary error-correcting codes and designs via a covering argument. It is possible to sh...
Michael Navon, Alex Samorodnitsky
ECCC
2007
88views more  ECCC 2007»
14 years 10 months ago
Combinatorial Construction of Locally Testable Codes
An error correcting code is said to be locally testable if there is a test that checks whether a given string is a codeword, or rather far from the code, by reading only a constan...
Or Meir
ECCC
2007
185views more  ECCC 2007»
14 years 10 months ago
Trapdoors for Hard Lattices and New Cryptographic Constructions
We show how to construct a variety of “trapdoor” cryptographic tools assuming the worst-case hardness of standard lattice problems (such as approximating the length of the sho...
Craig Gentry, Chris Peikert, Vinod Vaikuntanathan
ECCC
2000
113views more  ECCC 2000»
14 years 9 months ago
Candidate One-Way Functions Based on Expander Graphs
Abstract. We suggest a candidate one-way function using combinatorial constructs such as expander graphs. These graphs are used to determine a sequence of small overlapping subsets...
Oded Goldreich