10 search results - page 1 / 2 » Worst-Case to Average-Case Reductions Revisited |
APPROX
2007
Springer
13 years 11 months ago
2007
Springer
Abstract. A fundamental goal of computational complexity (and foundations of cryptography) is to find a polynomial-time samplable distribution (e.g., the uniform distribution) and...
APPROX
2010
Springer
13 years 6 months ago
2010
Springer
We prove that relative to an oracle, there is no worst-case to average-case reduction for NP. We also handle classes that are somewhat larger than NP, as well as worst-case to err...
FOCS
2004
IEEE
13 years 8 months ago
2004
IEEE
We show that finding small solutions to random modular linear equations is at least as hard as approximating several lattice problems in the worst case within a factor almost line...
FOCS
2003
IEEE
13 years 10 months ago
2003
IEEE
We show that if an NP-complete problem has a non-adaptive self-corrector with respect to a samplable distribution then coNP is contained in NP/poly and the polynomial hierarchy co...
STACS
2010
Springer
13 years 11 months ago
2010
Springer
This paper presents the following results on sets that are complete for NP. (i) If there is a problem in NP that requires 2nΩ(1) time at almost all lengths, then every many-one N...