On the Average-Case Hardness of CVP

نویسنده

  • Jin-Yi Cai
چکیده

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

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تاریخ انتشار 2001