## Theory of Combinatorial Algorithms

Prof. Emo Welzl and Prof. Bernd Gärtner

# Mittagsseminar (in cooperation with M. Ghaffari, A. Steger and B. Sudakov)

 Mittagsseminar Talk Information

Date and Time: Tuesday, August 09, 2011, 12:15 pm

Duration: 30 minutes

Location: CAB G51

Speaker: Chandan Dubey

## Approximating the Closest Vector Problem Using an Approximate Shortest Vector Oracle

We give a polynomial time Turing reduction from the $\gamma^2\sqrt{n}$-approximate closest vector problem on a lattice of dimension $n$ to a $\gamma$-approximate oracle for the shortest vector problem. This is an improvement over a reduction by Kannan, which achieved $\gamma^2n^{3/2}$. Joint work with Thomas Holenstein (published in APPROX-2011).

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