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On the average-case hardness of CVP

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1 Author(s)
Jin-Yi Cai ; Dept. of Comput. Sci., Wisconsin Univ., Madison, WI, USA

We prove a connection of the worst-case complexity to the average-case complexity based on the Closest Vector Problem (CVP) for lattices. We assume that there is an efficient algorithm which can approximately solve a random instance of CVP, with a non-trivial success probability. For lattices under a certain natural distribution, we show that one can approximately solve several lattice problems (including a version of CVP) efficiently for every lattice with high probability.

Published in:

Foundations of Computer Science, 2001. Proceedings. 42nd IEEE Symposium on

Date of Conference:

8-11 Oct. 2001