Proceedings 2001 IEEE International Conference on Cluster Computing (2001)

Las Vegas, Nevada

Oct. 14, 2001 to Oct. 17, 2001

ISBN: 0-7695-1390-5

pp: 308

ABSTRACT

We prove a connection of the worst-case complexity to the average-case complexity based on the Closest Vector Problem (CVP) for lattices. Assume that there is an efficient algorithm which can solve approximately 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.

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CITATION

J. Cai, "On the Average-Case Hardness of CVP,"

*Proceedings 2001 IEEE International Conference on Cluster Computing(FOCS)*, Las Vegas, Nevada, 2001, pp. 308.

doi:10.1109/SFCS.2001.959905

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