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ECCC
2007
91views more  ECCC 2007»
14 years 12 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»
14 years 12 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»
14 years 12 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»
14 years 12 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»
14 years 12 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