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Security Analysis of Post-quantum Public Key Cryptography by Utilizing Quantum Algorithms

Research Project

Project/Area Number 19K20267
Research Category

Grant-in-Aid for Early-Career Scientists

Allocation TypeMulti-year Fund
Review Section Basic Section 60070:Information security-related
Research InstitutionThe University of Tokyo (2019, 2021-2023)
National Institute of Information and Communications Technology (2020)

Principal Investigator

Takayasu Atsushi  東京大学, 大学院情報理工学系研究科, 准教授 (00808082)

Project Period (FY) 2019-04-01 – 2024-03-31
Project Status Completed (Fiscal Year 2023)
Budget Amount *help
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2022: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2021: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2020: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2019: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Keywords耐量子計算機暗号 / 量子アルゴリズム / 符号暗号 / 格子暗号 / 暗号理論 / Shorのアルゴリズム / シンドローム復号問題 / 耐量子暗号 / 量子計算
Outline of Research at the Start

本研究は、量子アルゴリズムを用いる耐量子暗号の新たな攻撃アルゴリズムを構成することで、耐量子暗号方式を実用化するためのパラメータ設定という重要な問題の解決を目指すものである。耐量子暗号方式の中でも、特に格子暗号に主眼を置いて研究を進める。従来の研究では、例えばDarmstadt lattice challengeに代表されるように、古典アルゴリズムの実装評価に比重が置かれがちであったが、本研究では、量子アルゴリズムを利用し、より理論的な立場から新たなアルゴリズムを開発することによるパラメータ設定を目指す。また、量子ビット数・量子ゲート数など既存の量子攻撃アルゴリズムの計算リソースの解析も行う。

Outline of Final Research Achievements

The main topic of this project is quantum security analysis of post-quantum crytographic algorithms. We obtain several results that relate to the topic.
The main result is the faster quantum information set decoding algorithm to break code-based cryptography when the number of qubits is bounded. This result was presented at the peer-reviewed international conference ACISP 2023. This is an impressive achievement that is consistent with the theme of this project and has been internationally recognized.
We have also achieved results on quantum attacks on public-key cryptographyand attacks on quantum computer cryptography, which are important results in advancing the main theme of this project as a peripheral field.

Academic Significance and Societal Importance of the Research Achievements

耐量子計算機暗号は今後必須とされる暗号技術であり、世界的にその実用化に向けた研究が活発に行われており、来る量子時代に安全な情報社会を維持する社会的意義の大きな研究である。
学術的には、主結果である扱える量子ビット数が制限されたときの符号暗号への量子攻撃の高速化には大きな意義がある。量子コンピュータは物理的な実現が困難であるとされており、大きな量子ビットすうを扱うのは困難であると考えられており、このような状況で符号暗号の量子安全性解析を行なった初の研究である。
その他の成果に関しても、査読付き国際会議等での発表されている画期的なものである。

Report

(6 results)
  • 2023 Annual Research Report   Final Research Report ( PDF )
  • 2022 Research-status Report
  • 2021 Research-status Report
  • 2020 Research-status Report
  • 2019 Research-status Report
  • Research Products

    (22 results)

All 2024 2023 2022 2020

All Journal Article (7 results) (of which Peer Reviewed: 6 results) Presentation (15 results) (of which Int'l Joint Research: 4 results,  Invited: 2 results)

  • [Journal Article] Concrete quantum cryptanalysis of binary elliptic curves via addition chain2024

    • Author(s)
      Ren Taguchi and Atsushi Takayasu
    • Journal Title

      Quantum Information Processing

      Volume: 23 Pages: 122-122

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the Untapped Potential of the Quantum FLT-based Inversion2024

    • Author(s)
      Ren Taguchi and Atsushi Takayasu
    • Journal Title

      Applied Cryptography and Network Security

      Volume: 14584 Pages: 79-100

    • DOI

      10.1007/978-3-031-54773-7_4

    • ISBN
      9783031547720, 9783031547737
    • Related Report
      2023 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A Lattice Attack on CRYSTALS-Kyber with Correlation Power Analysis2024

    • Author(s)
      Yen-Ting Kuo and Atsushi Takayasu
    • Journal Title

      Information Security and Cryptology

      Volume: 14561 Pages: 202-220

    • DOI

      10.1007/978-981-97-1235-9_11

    • ISBN
      9789819712342, 9789819712359
    • Related Report
      2023 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Memory-Efficient Quantum Information Set Decoding Algorithm2023

    • Author(s)
      Naoto Kimura, Atsushi Takayasu, and Tsuyoshi Takagi
    • Journal Title

      Information Security and Privacy

      Volume: 13915 Pages: 452-468

    • DOI

      10.1007/978-3-031-35486-1_20

    • ISBN
      9783031354854, 9783031354861
    • Related Report
      2023 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Concrete Quantum Cryptanalysis of Binary Elliptic Curves via Addition Chain2023

    • Author(s)
      Ren Taguchi and Atsushi Takayasu
    • Journal Title

      Topics in Cryptology - CT-RSA 2023

      Volume: 13871 Pages: 57-83

    • DOI

      10.1007/978-3-031-30872-7_3

    • ISBN
      9783031308710, 9783031308727
    • Related Report
      2023 Annual Research Report 2022 Research-status Report
    • Peer Reviewed
  • [Journal Article] Memory-Efficient Quantum Information Set Decoding Algorithm2023

    • Author(s)
      Naoto Kimura, Atsushi Takayasu, and Tsuyoshi Takagi
    • Journal Title

      ACISP 2023

      Volume: 未発行

    • Related Report
      2022 Research-status Report
    • Peer Reviewed
  • [Journal Article] メモリ制限下における量子Information Set Decodingアルゴリズムの高速化2020

    • Author(s)
      木村直人,高安敦,高木剛
    • Journal Title

      信学技報

      Volume: vol. 120, no. 28, ISEC2020-3 Pages: 15-22

    • Related Report
      2020 Research-status Report 2019 Research-status Report
  • [Presentation] On the Untapped Potential of the Quantum FLT-based Inversion2024

    • Author(s)
      Ren Taguchi
    • Organizer
      ACNS 2024
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] A Lattice Attack on CRYSTALS-Kyber with Correlation Power Analysis (from ICISC 2023)2024

    • Author(s)
      Yen-Ting Kuo
    • Organizer
      情報セキュリティ研究会
    • Related Report
      2023 Annual Research Report
    • Invited
  • [Presentation] UOV系署名に対する部分鍵導出攻撃2024

    • Author(s)
      瀬戸友暁
    • Organizer
      情報セキュリティ研究会
    • Related Report
      2023 Annual Research Report
  • [Presentation] Improved Lattice Analysis on Correlation Power Analysis of CRYSTALS-Kyber2024

    • Author(s)
      Yen-Ting Kuo
    • Organizer
      SCIS 2024
    • Related Report
      2023 Annual Research Report
  • [Presentation] 量子FLT逆元計算アルゴリズムの深さ削減2024

    • Author(s)
      田口廉
    • Organizer
      SCIS 2024
    • Related Report
      2023 Annual Research Report
  • [Presentation] Module-LWE問題における格子の回転構造を利用した列挙法の計算量解析2024

    • Author(s)
      西村佑介
    • Organizer
      SCIS 2024
    • Related Report
      2023 Annual Research Report
  • [Presentation] A Lattice Attack on CRYSTALS-Kyber with Correlation Power Analysis2023

    • Author(s)
      Yen-Ting Kuo
    • Organizer
      ICISC 2023
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Memory-Efficient Quantum Information Set Decoding Algorithm2023

    • Author(s)
      Atsushi Takayasu
    • Organizer
      ACISP 2023
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Module-LWE問題に対する格子の回転構造を利用したBDD列挙法2023

    • Author(s)
      櫻井徳吾
    • Organizer
      情報セキュリティ研究会
    • Related Report
      2023 Annual Research Report
  • [Presentation] Concrete Quantum Cryptanalysis of Binary Elliptic Curves via Addition Chain (from CT-RSA 2023)2023

    • Author(s)
      田口廉
    • Organizer
      情報セキュリティ研究会
    • Related Report
      2023 Annual Research Report
    • Invited
  • [Presentation] 量子FLT逆元計算アルゴリズムの改良2023

    • Author(s)
      田口廉
    • Organizer
      2022年コンピュータセキュリティシンポジウム(CSS2022),
    • Related Report
      2022 Research-status Report
  • [Presentation] バイナリECDLPに対するShorのアルゴリズムの量子ビット削減2023

    • Author(s)
      田口廉
    • Organizer
      2023年暗号と情報セキュリティシンポジウム(SCIS 2023)
    • Related Report
      2022 Research-status Report
  • [Presentation] 適応的シミュレーション安全なIDベース内積関数型暗号の構成2023

    • Author(s)
      枝村天真
    • Organizer
      2023年暗号と情報セキュリティシンポジウム(SCIS 2023)
    • Related Report
      2022 Research-status Report
  • [Presentation] Keyed-Fully Homomorphic Encryption without Indistinguishability Obfuscation2022

    • Author(s)
      Shingo Sato, Keita Emura, Atsushi Takayasu
    • Organizer
      20th International Conference on Applied Cryptography and Network Security (ACNS 2022)
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research
  • [Presentation] メモリ制限下における量子Information Set Decodingアルゴリズムの高速化2020

    • Author(s)
      木村直人
    • Organizer
      情報セキュリティ研究会
    • Related Report
      2019 Research-status Report

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Published: 2019-04-18   Modified: 2025-01-30  

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