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ECCC
2007
91views more  ECCC 2007»
13 years 5 months ago
Which Languages Have 4-Round Zero-Knowledge Proofs?
We show that if a language L has a 4-round, black-box, computational zero-knowledge proof system with negligible soundness error, then ¯L ∈ MA. Assuming the polynomial hierarch...
Jonathan Katz
ECCC
2007
86views more  ECCC 2007»
13 years 5 months ago
On Parameterized Approximability
Abstract. Combining classical approximability questions with parameterized complexity, we introduce a theory of parameterized approximability. The main intention of this theory is ...
Yijia Chen, Martin Grohe, Magdalena Grüber
ECCC
2007
77views more  ECCC 2007»
13 years 5 months ago
Selected Results in Additive Combinatorics: An Exposition
We give a self-contained exposition of selected results in additive combinatorics over the group GF(2)n = {0, 1}n. In particular, we prove the celebrated theorems known as the Bal...
Emanuele Viola
ECCC
2007
115views more  ECCC 2007»
13 years 5 months ago
An Exposition of Bourgain's 2-Source Extractor
A construction of Bourgain [Bou05] gave the first 2-source extractor to break the min-entropy rate 1/2 barrier. In this note, we write an exposition of his result, giving a high ...
Anup Rao
ECCC
2007
88views more  ECCC 2007»
13 years 5 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