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ECCC
2006
116views more  ECCC 2006»
14 years 10 months ago
Uniform Hardness Amplification in NP via Monotone Codes
We consider the problem of amplifying uniform average-case hardness of languages in NP, where hardness is with respect to BPP algorithms. We introduce the notion of monotone error...
Joshua Buresh-Oppenheim, Valentine Kabanets, Rahul...
ECCC
2006
134views more  ECCC 2006»
14 years 10 months ago
Derandomizing the AW matrix-valued Chernoff bound using pessimistic estimators and applications
Ahlswede and Winter [AW02] introduced a Chernoff bound for matrix-valued random variables, which is a non-trivial generalization of the usual Chernoff bound for real-valued random...
Avi Wigderson, David Xiao
ECCC
2006
145views more  ECCC 2006»
14 years 10 months ago
Constraint satisfaction: a personal perspective
Attempts at classifying computational problems as polynomial time solvable, NP-complete, or belonging to a higher level in the polynomial hierarchy, face the difficulty of undecid...
Tomás Feder
ECCC
2006
88views more  ECCC 2006»
14 years 10 months ago
Hardness of Directed Routing with Congestion
Given a graph G and a collection of source-sink pairs in G, what is the least integer c such that each source can be connected by a path to its sink, with at most c paths going th...
Julia Chuzhoy, Sanjeev Khanna
ECCC
2006
120views more  ECCC 2006»
14 years 10 months ago
New Locally Decodable Codes and Private Information Retrieval Schemes
A q query Locally Decodable Code (LDC) encodes an n-bit message x as an N-bit codeword C(x), such that one can probabilistically recover any bit xi of the message by querying only...
Sergey Yekhanin