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一般アクセス構造を持つ秘密分散法の効率性及び機能性の向上

Research Project

Project/Area Number 20J20797
Research Category

Grant-in-Aid for JSPS Fellows

Allocation TypeSingle-year Grants
Section国内
Review Section Basic Section 60070:Information security-related
Research InstitutionThe University of Tokyo

Principal Investigator

江利口 礼央  東京大学, 情報理工学系研究科, 特別研究員(DC1)

Project Period (FY) 2020-04-24 – 2023-03-31
Project Status Completed (Fiscal Year 2022)
Budget Amount *help
¥2,500,000 (Direct Cost: ¥2,500,000)
Fiscal Year 2022: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2021: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2020: ¥900,000 (Direct Cost: ¥900,000)
Keywordsマルチパーティ計算 / 秘密分散法 / 一般アクセス構造
Outline of Research at the Start

マルチパーティ計算とは入力に関する情報を外部へ漏洩することなく関数を計算するための暗号技術である.秘密分散法はその基盤技術であるため,その効率性と安全性の向上はマルチパーティ計算の性能の向上へ繋がる.
本研究では,関数を計算するサーバの任意の結託に対して安全性を保証するため,一般アクセス構造を実現する乗算可能な秘密分散法の効率性と安全性の向上を目指す.効率性については,一般アクセス構造に関する最近の研究結果を乗算可能な方式に適用することを検討する.安全性については,情報の部分漏洩を伴うランプ型秘密分散法を基盤としたマルチパーティ計算の安全性評価を行い,より安全なマルチパーティ計算の実現を目指す.

Outline of Annual Research Achievements

まず前年度までの成果の一つである強安全なランプ型秘密分散法の効率的な構成を用いて,複数ユーザが存在する状況において効率的にデータの秘匿検索を実現するSymmetric Private Information Retrieval (symmetric PIR)を実現した.続いてマルチパーティ計算の中でも現実への応用を見据えた実用的な関数に対して高効率なプロトコルを提案した.具体的には上述したデータの秘匿検索を含むPrivate Information Retrieval (PIR)と呼ばれる暗号技術に関してサーバの悪意のある改ざんを訂正・検出可能な高機能な方式の構成を提案し,その最適通信量の解析を行った.PIRに関してはその効率化に向けさらに研究を進め,サーバの台数に関して多項式の計算時間・通信量を達成可能であることを証明した.また,multipartiteアクセス構造に対する乗算可能秘密分散法および差分プライバシを満たすマルチパーティ計算プロトコルの効率化に関する研究について,前年度までですでに得られていた成果にプロトコルの実行時間の見積もりなど新たな内容を加え,国際論文誌に投稿し採録された.今後の研究ではマルチパーティ計算の新たな効率性の指標であるbottleneck complexityに注目し,bottleneck complexityの観点から効率の良いマルチパーティ計算プロトコルの提案を行う予定である.特に対称関数など具体的な関数に対して既存研究の暗号学的仮定を弱めることを目指す.

Research Progress Status

令和4年度が最終年度であるため、記入しない。

Strategy for Future Research Activity

令和4年度が最終年度であるため、記入しない。

Report

(3 results)
  • 2022 Annual Research Report
  • 2021 Annual Research Report
  • 2020 Annual Research Report
  • Research Products

    (21 results)

All 2023 2022 2021 2020

All Journal Article (9 results) (of which Peer Reviewed: 9 results,  Open Access: 2 results) Presentation (12 results) (of which Int'l Joint Research: 8 results,  Invited: 1 results)

  • [Journal Article] Linear Algebraic Approach to Strongly Secure Ramp Secret Sharing for General Access Structures with Application to Symmetric PIR2023

    • Author(s)
      Eriguchi Reo, Kunihiro Noboru, Nuida Koji
    • Journal Title

      IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

      Volume: E106.A Issue: 3 Pages: 263-271

    • DOI

      10.1587/transfun.2022CIP0001

    • ISSN
      0916-8508, 1745-1337
    • Year and Date
      2023-03-01
    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Multiplicative and verifiably multiplicative secret sharing for multipartite adversary structures2023

    • Author(s)
      Eriguchi Reo, Kunihiro Noboru, Nuida Koji
    • Journal Title

      Designs, Codes and Cryptography

      Volume: - Issue: 5 Pages: 1-28

    • DOI

      10.1007/s10623-022-01177-2

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Efficient Noise Generation Protocols for Differentially Private Multiparty Computation2022

    • Author(s)
      Eriguchi Reo, Ichikawa Atsunori, Kunihiro Noboru, Nuida Koji
    • Journal Title

      IEEE Transactions on Dependable and Secure Computing

      Volume: - Issue: 6 Pages: 1-16

    • DOI

      10.1109/tdsc.2022.3227568

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Non-Interactive Secure Multiparty Computation for Symmetric Functions, Revisited: More Efficient Constructions and Extensions2021

    • Author(s)
      Reo Eriguchi, Kazuma Ohara, Shota Yamada and Koji Nuida
    • Journal Title

      Advances in Cryptology - CRYPTO 2021

      Volume: 12826 Pages: 305-334

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Homomorphic Secret Sharing for Multipartite and General Adversary Structures Supporting Parallel Evaluation of Low-Degree Polynomials2021

    • Author(s)
      Reo Eriguchi and Koji Nuida
    • Journal Title

      Advances in Cryptology - ASIACRYPT 2021

      Volume: 13091 Pages: 191-221

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Efficient Noise Generation to Achieve Differential Privacy with Applications to Secure Multiparty Computation2021

    • Author(s)
      Reo Eriguchi and Atsunori Ichikawa and Noboru Kunihiro and Koji Nuida
    • Journal Title

      Financial Cryptography and Data Security

      Volume: -

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] d-Multiplicative Secret Sharing for Multipartite Adversary Structures2020

    • Author(s)
      Reo Eriguchi and Noboru Kunihiro
    • Journal Title

      1st Conference on Information-Theoretic Cryptography (ITC 2020)

      Volume: 163

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] A Linear Algebraic Approach to Strongly Secure Ramp Secret Sharing for General Access Structures2020

    • Author(s)
      Reo Eriguchi and Noboru Kunihiro and Koji Nuida
    • Journal Title

      2020 International Symposium on Information Theory and Its Applications (ISITA)

      Volume: - Pages: 427-431

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Strong security of linear ramp secret sharing schemes with general access structures2020

    • Author(s)
      Eriguchi Reo; Kunihiro Noboru
    • Journal Title

      Information Processing Letters

      Volume: 164 Pages: 106018-106018

    • DOI

      10.1016/j.ipl.2020.106018

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Presentation] Multi-Server PIR with Full Error Detection and Limited Error Correction2022

    • Author(s)
      Reo Eriguchi, Kaoru Kurosawa, Koji Nuida
    • Organizer
      3rd Conference on Information-Theoretic Cryptography
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research
  • [Presentation] On the Optimal Communication Complexity of Error-Correcting Multi-server PIR2022

    • Author(s)
      Reo Eriguchi, Kaoru Kurosawa, Koji Nuida
    • Organizer
      Theory of Cryptography
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Non-Interactive Secure Multiparty Computation for Symmetric Functions, Revisited: More Efficient Constructions and Extensions2021

    • Author(s)
      Reo Eriguchi, Kazuma Ohara, Shota Yamada and Koji Nuida
    • Organizer
      2021年 暗号と情報セキュリティワークショップ (WCIS2021)
    • Related Report
      2021 Annual Research Report
  • [Presentation] Homomorphic Secret Sharing for Multipartite and General Adversary Structures Supporting Parallel Evaluation of Low-Degree Polynomials2021

    • Author(s)
      Reo Eriguchi
    • Organizer
      九州大学 IMI 共同利用・研究集会「秘密計算・秘密分散の数理と実用の探求」
    • Related Report
      2021 Annual Research Report
  • [Presentation] Non-Interactive Secure Multiparty Computation for Symmetric Functions, Revisited: More Efficient Constructions and Extensions2021

    • Author(s)
      Reo Eriguchi, Kazuma Ohara, Shota Yamada and Koji Nuida
    • Organizer
      Advances in Cryptology - CRYPTO 2021
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] On Non-interactive Secure Multi-party Computation: New Constructions and Analysis2021

    • Author(s)
      Reo Eriguchi, Kazuma Ohara, Shota Yamada and Koji Nuida
    • Organizer
      16th International Workshop on Security (IWSEC 2021)
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Homomorphic Secret Sharing for Multipartite and General Adversary Structures Supporting Parallel Evaluation of Low-Degree Polynomials2021

    • Author(s)
      Reo Eriguchi and Koji Nuida
    • Organizer
      Advances in Cryptology - ASIACRYPT 2021
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Efficient Noise Generation to Achieve Differential Privacy with Applications to Secure Multiparty Computation2021

    • Author(s)
      Reo Eriguchi and Atsunori Ichikawa and Noboru Kunihiro and Koji Nuida
    • Organizer
      Financial Cryptography and Data Security
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 非対話型秘密計算プロトコルに対する通信量の削減と安全性解析2021

    • Author(s)
      江利口礼央,大原一真,山田翔太,縫田光司
    • Organizer
      2021年 暗号と情報セキュリティシンポジウム (SCIS2021)
    • Related Report
      2020 Annual Research Report
  • [Presentation] 平方剰余に基づく Private Simultaneous Messages について2021

    • Author(s)
      品川和雅,江利口礼央,縫田光司
    • Organizer
      2021年 暗号と情報セキュリティシンポジウム (SCIS2021)
    • Related Report
      2020 Annual Research Report
  • [Presentation] d-Multiplicative Secret Sharing for Multipartite Adversary Structures2020

    • Author(s)
      Reo Eriguchi and Noboru Kunihiro
    • Organizer
      1st Conference on Information-Theoretic Cryptography (ITC 2020)
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] A Linear Algebraic Approach to Strongly Secure Ramp Secret Sharing for General Access Structures2020

    • Author(s)
      Reo Eriguchi and Noboru Kunihiro and Koji Nuida
    • Organizer
      2020 International Symposium on Information Theory and Its Applications (ISITA)
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research

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Published: 2020-07-07   Modified: 2024-03-26  

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