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題名 An Efficient Algorithm for Shortest Vector Problem
作者 曾一凡
Tseng, Yi-Fan
Chuang, Yu-Lun
Fan, Chun-I
貢獻者 資科系
關鍵詞 Shortest vector problem ; algorithm analysis ; optimization theory ; lattice ; lattice-based cryptography
日期 2018
上傳時間 2-Sep-2020 09:12:25 (UTC+8)
摘要 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.
關聯 IEEE Access, Vol.6, pp.61478-61487
資料類型 article
DOI https://doi.org/10.1109/ACCESS.2018.2876401
dc.contributor 資科系
dc.creator (作者) 曾一凡
dc.creator (作者) Tseng, Yi-Fan
dc.creator (作者) Chuang, Yu-Lun
dc.creator (作者) Fan, Chun-I
dc.date (日期) 2018
dc.date.accessioned 2-Sep-2020 09:12:25 (UTC+8)-
dc.date.available 2-Sep-2020 09:12:25 (UTC+8)-
dc.date.issued (上傳時間) 2-Sep-2020 09:12:25 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/131400-
dc.description.abstract (摘要) 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.
dc.format.extent 4728257 bytes-
dc.format.mimetype application/pdf-
dc.relation (關聯) IEEE Access, Vol.6, pp.61478-61487
dc.subject (關鍵詞) Shortest vector problem ; algorithm analysis ; optimization theory ; lattice ; lattice-based cryptography
dc.title (題名) An Efficient Algorithm for Shortest Vector Problem
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.1109/ACCESS.2018.2876401
dc.doi.uri (DOI) https://doi.org/10.1109/ACCESS.2018.2876401