Hybrid Meet-in-the-Middle Attacks for the Isogeny Path-Finding Problem

Yasuhiko Ikematsu, Ryoya Fukasaku, Momonari Kudo, Masaya Yasuda, Katsuyuki Takashima, Kazuhiro Yokoyama

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

抄録

Isogeny-based cryptography has received attention as a candidate of post-quantum cryptography (PQC), and its security is based on the hardness of isogeny problems. The idea of meet-in-the-middle (MITM) is a bidirectional search for a collision, and it gives a powerful tool in cryptanalysis. In this paper, we propose hybrid approaches of MITM for solving the isogeny path-finding problem. Specifically, we first build part of trees of isogenies in a conventional way, and we then search a pair of isogenous curves of prime power degree by the algebraic approach using modular polynomials, proposed by Takahashi et al.¥! at MathCrypt 2019. Our hybrid approaches relax the requirements of sizes of search tables in MITM, and they also enable us to parallelize the part of algebraic search perfectly and easily. Here we show experimental results of our hybrid approaches to discuss a comparison with pure MITM approaches from a perspective of performance and sizes of search tables.

本文言語英語
ホスト出版物のタイトルAPKC 2020 - Proceedings of the 7th ACM Workshop on ASIA Public-Key Cryptography, Co-located with AsiaCCS 2020
出版社Association for Computing Machinery, Inc
ページ36-44
ページ数9
ISBN(電子版)9781450376075
DOI
出版ステータス出版済み - 10 5 2020
イベント7th ACM Workshop on Asia Public-Key Cryptography, APKC 2020, held in conjunction with the 15th ACM ASIA Conference on Computer and Communications Security, ACM ASIACCS 2020 - Taipei, 台湾省、中華民国
継続期間: 10 6 2020 → …

出版物シリーズ

名前APKC 2020 - Proceedings of the 7th ACM Workshop on ASIA Public-Key Cryptography, Co-located with AsiaCCS 2020

会議

会議7th ACM Workshop on Asia Public-Key Cryptography, APKC 2020, held in conjunction with the 15th ACM ASIA Conference on Computer and Communications Security, ACM ASIACCS 2020
国/地域台湾省、中華民国
CityTaipei
Period10/6/20 → …

All Science Journal Classification (ASJC) codes

  • コンピュータ ネットワークおよび通信
  • コンピュータ サイエンスの応用
  • 情報システム
  • ソフトウェア

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