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    政大機構典藏 > 資訊學院 > 資訊科學系 > 期刊論文 >  Item 140.119/131400
    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/131400


    Title: An Efficient Algorithm for Shortest Vector Problem
    Authors: 曾一凡
    Tseng, Yi-Fan
    Chuang, Yu-Lun
    Fan, Chun-I
    Contributors: 資科系
    Keywords: Shortest vector problem;algorithm analysis;optimization theory;lattice;lattice-based cryptography
    Date: 2018
    Issue Date: 2020-09-02 09:12:25 (UTC+8)
    Abstract: Lattice is widely used in cryptography since it has potential for defending quantum attacks. One of the significant problems in such cryptography is the shortest vector problem (SVP). This problem is to find the non-zero shortest vector in lattice. The SVP is an NP-hard problem under randomized reductions proven by Ajtai, and many cryptosystems are secure under the assumption that SVP is hard, such as NTRU. On the other hand, some primitives of lattice-based cryptography require relatively short vectors. In this paper, we propose a new SVP algorithm that can be performed in time complexity O(n 3 ). We also prove that the Hermite factor of the proposed algorithm is polynomial-bounded.
    Relation: IEEE Access, Vol.6, pp.61478-61487
    Data Type: article
    DOI 連結: https://doi.org/10.1109/ACCESS.2018.2876401
    DOI: 10.1109/ACCESS.2018.2876401
    Appears in Collections:[資訊科學系] 期刊論文

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