Solving the Search-LWE Problem by Lattice Reduction over Projected Bases

Satoshi Nakamura, Nariaki Tateiwa, Koha Kinjo, Yasuhiko Ikematsu, Masaya Yasuda, Katsuki Fujisawa

研究成果: Chapter in Book/Report/Conference proceedingConference contribution

抄録

The learning with errors (LWE) problem assures the security of modern lattice-based cryptosystems. It can be reduced to classical lattice problems such as the shortest vector problem (SVP) and the closest vector problem (CVP). In particular, the search-LWE problem is reduced to a particular case of SVP by Kannan’s embedding technique. Lattice basis reduction is a mandatory tool to solve lattice problems. In this paper, we give a new strategy to solve the search-LWE problem by lattice reduction over projected bases. Compared with a conventional method of reducing a whole lattice basis, our strategy reduces only a part of the basis and, hence, it gives a practical speed-up in solving the problem. We also develop a reduction algorithm for a projected basis, and apply it to solving several instances in the LWE challenge, which has been initiated since the middle of 2016 in order to assess the hardness of the LWE problem.

本文言語英語
ホスト出版物のタイトルProceedings of the Sixth International Conference on Mathematics and Computing - ICMC 2020
編集者Debasis Giri, Rajkumar Buyya, S. Ponnusamy, Debashis De, Andrew Adamatzky, Jemal H. Abawajy
出版社Springer Science and Business Media Deutschland GmbH
ページ29-42
ページ数14
ISBN(印刷版)9789811580604
DOI
出版ステータス出版済み - 2021
イベント6th International Conference on Mathematics and Computing, ICMC 2020 - Sikkim, インド
継続期間: 9 23 20209 25 2020

出版物シリーズ

名前Advances in Intelligent Systems and Computing
1262
ISSN(印刷版)2194-5357
ISSN(電子版)2194-5365

会議

会議6th International Conference on Mathematics and Computing, ICMC 2020
国/地域インド
CitySikkim
Period9/23/209/25/20

All Science Journal Classification (ASJC) codes

  • 制御およびシステム工学
  • コンピュータ サイエンス(全般)

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