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» Hardness vs. Randomness within Alternating Time
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75
Voted
COCO
2003
Springer
145views Algorithms» more  COCO 2003»
15 years 2 months ago
Hardness vs. Randomness within Alternating Time
We study the complexity of building pseudorandom generators (PRGs) with logarithmic seed length from hard functions. We show that, starting from a function f : {0, 1}l → {0, 1} ...
Emanuele Viola
73
Voted
FOCS
1998
IEEE
15 years 1 months ago
The Shortest Vector in a Lattice is Hard to Approximate to Within Some Constant
We show that approximating the shortest vector problem (in any p norm) to within any constant factor less than p 2 is hard for NP under reverse unfaithful random reductions with i...
Daniele Micciancio
STOC
2007
ACM
111views Algorithms» more  STOC 2007»
15 years 9 months ago
Low-end uniform hardness vs. randomness tradeoffs for AM
In 1998, Impagliazzo and Wigderson [IW98] proved a hardness vs. randomness tradeoff for BPP in the uniform setting, which was subsequently extended to give optimal tradeoffs for t...
Ronen Shaltiel, Christopher Umans
SPAA
2006
ACM
15 years 3 months ago
Playing push vs pull: models and algorithms for disseminating dynamic data in networks
Consider a network in which a collection of source nodes maintain and periodically update data objects for a collection of sink nodes, each of which periodically accesses the data...
R. C. Chakinala, Abishek Kumarasubramanian, Kofi A...
FOCS
1999
IEEE
15 years 1 months ago
Hardness of Approximating the Minimum Distance of a Linear Code
We show that the minimum distance of a linear code is not approximable to within any constant factor in random polynomial time (RP), unless nondeterministic polynomial time (NP) eq...
Ilya Dumer, Daniele Micciancio, Madhu Sudan