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2002
ACM

Hardness amplification within NP

15 years 12 days ago
Hardness amplification within NP
We study the average-case hardness of the class NP against deterministic polynomial time algorithms. We prove that there exists some constant ? > 0 such that if there is some language in NP for which no deterministic polynomial time algorithm can decide L correctly on a 1 - (log n)-? fraction of inputs of length n, then there is a language L in NP for which no deterministic polynomial time algorithm can decide L correctly on a 3/4 + (log n)-? fraction of inputs of length n. In coding theoretic terms, we give a construction of a monotone code that can be uniquely decoded up to error rate 1 4 by a deterministic local decoder.
Ryan O'Donnell
Added 03 Dec 2009
Updated 03 Dec 2009
Type Conference
Year 2002
Where STOC
Authors Ryan O'Donnell
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