[Resource Topic] 2014/980: A Fast Phase-Based Enumeration Algorithm for SVP Challenge through y-Sparse Representations of Short Lattice Vectors

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Title:
A Fast Phase-Based Enumeration Algorithm for SVP Challenge through y-Sparse Representations of Short Lattice Vectors

Authors: Dan Ding, Guizhen Zhu, Yang Yu, Zhongxiang Zheng

Abstract:

In this paper, we propose a new phase-based enumeration algorithm based on two interesting and useful observations for y-sparse representations of short lattice vectors in lattices from SVP challenge benchmarks. Experimental results show that the phase-based algorithm greatly outperforms other famous enumeration algorithms in running time and achieves higher dimensions, like the Kannan-Helfrich enumeration algorithm. Therefore, the phase-based algorithm is a practically excellent solver for the shortest vector problem (SVP).

ePrint: https://eprint.iacr.org/2014/980

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