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Study on speeding up homomorphic encryption

Research Project

Project/Area Number 17K05353
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Foundations of mathematics/Applied mathematics
Research InstitutionInstitute of Information Security

Principal Investigator

Arita Seiko  情報セキュリティ大学院大学, その他の研究科, 教授 (50387106)

Co-Investigator(Kenkyū-buntansha) 半田 沙里  情報セキュリティ大学院大学, その他の研究科, 研究員 (10748479)
小崎 俊二  情報セキュリティ大学院大学, その他の研究科, 研究員 (80626961)
Project Period (FY) 2017-04-01 – 2020-03-31
Project Status Completed (Fiscal Year 2019)
Budget Amount *help
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2019: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2018: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2017: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Keywords準同型暗号 / データプライバシー / 円分体 / 分解体 / 離散数学 / 暗号
Outline of Final Research Achievements

The purpose of this research is to improve the efficiency of homomorphic encryption in order to protect the data privacy of data mining and AI technology through executing the algorithms in those technologies only on encrypted data. General homomorphic encryption schemes are constructed by using an algebraic number field called a cyclotomic field, but in this research, the decomposition field Z (for prime number 2) is used instead of the cyclotomic field. We have realized a situation where an integer ring modulo a power of 2 appears as a plaintext structure (rather than a finite field), and as a result, we have achieved several times to several tens of times the speedup of homomorphic encryption.

Academic Significance and Societal Importance of the Research Achievements

現代社会ではスマートフォンなどの各種デバイスを通して各種データを収集し、得られたビックデータをA Iに学習させることで、様々な高度な社会サービスが実現されつつある。しかしながら、これら収集されたビックデータとその処理により、人々のプライバシーが危険な状態に晒されている。本研究はデータを暗号化したままで処理することを可能とし、人々のプライバシーを守りつつ高度なA Iサービスを実現するための基盤となる技術の一つである。

Report

(4 results)
  • 2019 Annual Research Report   Final Research Report ( PDF )
  • 2018 Research-status Report
  • 2017 Research-status Report

Research Products

(2 results)

All 2020 2018

All Journal Article (2 results) (of which Peer Reviewed: 2 results)

  • [Journal Article] Fully Homomorphic Encryption Scheme Based on Decomposition Ring2020

    • Author(s)
      ARITA Seiko、HANDA Sari
    • Journal Title

      IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

      Volume: E103.A Issue: 1 Pages: 195-211

    • DOI

      10.1587/transfun.2019CIP0027

    • NAID

      130007778793

    • ISSN
      0916-8508, 1745-1337
    • Year and Date
      2020-01-01
    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Subring Homomorphic Encryption2018

    • Author(s)
      Arita S., Handa S.
    • Journal Title

      In: Kim H., Kim DC. (eds) Information Security and Cryptology - ICISC 2017.

      Volume: LNCS 10779 Pages: 112-136

    • DOI

      10.1007/978-3-319-78556-1_7

    • ISBN
      9783319785554, 9783319785561
    • Related Report
      2017 Research-status Report
    • Peer Reviewed

URL: 

Published: 2017-04-28   Modified: 2021-02-19  

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