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FOCS
2006
IEEE
14 years 2 months ago
On the Compressibility of NP Instances and Cryptographic Applications
We study compression that preserves the solution to an instance of a problem rather than preserving the instance itself. Our focus is on the compressibility of NP decision problem...
Danny Harnik, Moni Naor
FOCS
2006
IEEE
14 years 2 months ago
On the Quantum Query Complexity of Local Search in Two and Three Dimensions
The quantum query complexity of searching for local optima has been a subject of much interest in the recent literature. For the d-dimensional grid graphs, the complexity has been...
Xiaoming Sun, Andrew Chi-Chih Yao
FOCS
2006
IEEE
14 years 2 months ago
Computing Nash Equilibria: Approximation and Smoothed Complexity
We advance significantly beyond the recent progress on the algorithmic complexity of Nash equilibria by solving two major open problems in the approximation of Nash equilibria an...
Xi Chen, Xiaotie Deng, Shang-Hua Teng
FOCS
2006
IEEE
14 years 2 months ago
Towards Secure and Scalable Computation in Peer-to-Peer Networks
We consider the problems of Byzantine Agreement and Leader Election, where a constant fraction b < 1/3 of processors are controlled by a malicious adversary. The first problem...
Valerie King, Jared Saia, Vishal Sanwalani, Erik V...
FOCS
2006
IEEE
14 years 2 months ago
Explicit Exclusive Set Systems with Applications to Broadcast Encryption
A family of subsets C of [n] def = {1, . . . , n} is (r, t)exclusive if for every S ⊂ [n] of size at least n − r, there exist S1, . . . , St ∈ C with S = S1∪S2∪· · · ...
Craig Gentry, Zulfikar Ramzan, David P. Woodruff