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arXiv · 1908.03724

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

Divesh Aggarwal·Jianwei Li·Phong Q. Nguyen·Noah Stephens-Davidowitz
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Abstract

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 $\delta$-approximate SVP for all approximation factors $n^{1/2+\varepsilon} \leq \delta \leq n^{O(1)}$. This is the range of approximation factors most relevant for cryptography.

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Divesh Aggarwal, Jianwei Li, Phong Q. Nguyen, Noah Stephens-Davidowitz. 2019-08-10. Slide Reduction, Revisited---Filling the Gaps in SVP Approximation. https://arxiv.org/abs/1908.03724

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