Department of Computer Science | Institute of Theoretical Computer Science | CADMO

Theory of Combinatorial Algorithms

Prof. Emo Welzl and Prof. Bernd Gärtner

Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Mittagsseminar Talk Information

Date and Time: Thursday, June 20, 2013, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Chandan Dubey

Search to Decision Reduction of Unique Shortest Vector Problem

A Lattice is a discrete subgroup of R^n. Given a list of linearly independent vectors b_1, ..., b_n called the basis -- the lattice spanned by these vectors is the set of all integer linear combinations. After the worst case to average case reduction of the shortest vector problem given by Ajtai, Lattices have seen increasing applications in cryptographic constructions. One important problem in this area is the unique shortest vector problem. In this talk, I aim to show the search to decision reduction of approximate unique shortest vector problem. On the way, we will see a simple proof of Minkowski’s convex body theorem. Joint work with Divesh Aggarwal.

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