Slide Reduction, Revisited---Filling the Gaps in SVP Approximation

08/10/2019

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by   Divesh Aggarwal, et al.

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We show how to generalize Gama and Nguyen's slide reduction algorithm [STOC '08] for solving the approximate Shortest Vector Problem over lattices (SVP). As a result, we show the fastest provably correct algorithm for δ-approximate SVP for all approximation factors n^1/2+ε≤δ≤ n^O(1). This is the range of approximation factors most relevant for cryptography.