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Electronic Colloquium on Computational Complexity

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TR05-142 | 1st December 2005
Vadim Lyubashevsky, Daniele Micciancio

Generalized Compact Knapsacks are Collision Resistant

The generalized knapsack problem is the following: given $m$ random
elements $a_1,\ldots,a_m\in R$ for some ring $R$, and a target $t\in
R$, find elements $z_1,\ldots,z_m\in D$ such that $\sum{a_iz_i}=t$
where $D$ is some given subset of $R$. In (Micciancio, FOCS 2002),
it was proved that for appropriate choices of $R$ ... more >>>


TR05-141 | 29th November 2005
Amos Beimel, Paz Carmi, Kobbi Nissim, Enav Weinreb

Private Approximation of Search Problems

Many approximation algorithms have been presented in the last decades
for hard search problems. The focus of this paper is on cryptographic
applications, where it is desired to design algorithms which do not
leak unnecessary information. Specifically, we are interested in
private approximation algorithms -- efficient algorithms ... more >>>


TR05-140 | 30th November 2005
Xi Chen, Xiaotie Deng

Settling the Complexity of 2-Player Nash-Equilibrium

Revisions: 1

We prove that finding the solution of two player Nash Equilibrium is PPAD-complete.

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