Improved progressive BKZ algorithms and their precise cost estimation by sharp simulator

Yoshinori Aono, Yuntao Wang, Takuya Hayashi, Tsuyoshi Takagi

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

38 被引用数 (Scopus)

抄録

In this paper, we investigate a variant of the BKZ algorithm, called progressive BKZ, which performs BKZ reductions by starting with a small blocksize and gradually switching to larger blocks as the process continues. We discuss techniques to accelerate the speed of the progressive BKZ algorithm by optimizing the following parameters: blocksize, searching radius and probability for pruning of the local enumeration algorithm, and the constant in the geometric series assumption (GSA). We then propose a simulator for predicting the length of the Gram- Schmidt basis obtained from the BKZ reduction. We also present a model for estimating the computational cost of the proposed progressive BKZ by considering the efficient implementation of the local enumeration algorithm and the LLL algorithm. Finally, we compare the cost of the proposed progressive BKZ with that of other algorithms using instances from the Darmstadt SVP Challenge. The proposed algorithm is approximately 50 times faster than BKZ 2.0 (proposed by Chen-Nguyen) for solving the SVP Challenge up to 160 dimensions.

本文言語英語
ホスト出版物のタイトルAdvances in Cryptology - EUROCRYPT 2016 - 35th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Proceedings
編集者Marc Fischlin, Jean-Sebastien Coron
出版社Springer Verlag
ページ789-819
ページ数31
ISBN(印刷版)9783662498897
DOI
出版ステータス出版済み - 1 1 2016
イベント35th Annual International Conference on Theory and Applications of Cryptographic Techniques, EUROCRYPT 2016 - Vienna, オーストリア
継続期間: 5 8 20165 12 2016

出版物シリーズ

名前Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
9665
ISSN(印刷版)0302-9743
ISSN(電子版)1611-3349

その他

その他35th Annual International Conference on Theory and Applications of Cryptographic Techniques, EUROCRYPT 2016
Countryオーストリア
CityVienna
Period5/8/165/12/16

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

フィンガープリント 「Improved progressive BKZ algorithms and their precise cost estimation by sharp simulator」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル