Maximum Distance Sub-Lattice Problem

11/07/2018

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by   Shashank K Mehta, et al.

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In this paper, we define a problem on lattices called the Maximum Distance Sub-lattice Problem (MDSP). The decision version of this problem is shown to be in NP. We prove that MDSP is isomorphic to a well-known problem called closest vector problem (CVP). We give an exact and a heuristic algorithm for MDSP. Using experimental results we show that the LLL algorithm can be accelerated when it is combined with the heuristic algorithm for MDSP.