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A Study on Combinatorial Traitor Tracing Schemes for Broadcast Encryption

Research Project

Project/Area Number 21K13830
Research Category

Grant-in-Aid for Early-Career Scientists

Allocation TypeMulti-year Fund
Review Section Basic Section 12030:Basic mathematics-related
Research InstitutionKyushu University

Principal Investigator

顧 玉杰  九州大学, システム情報科学研究院, 助教 (50898731)

Project Period (FY) 2021-04-01 – 2025-03-31
Project Status Granted (Fiscal Year 2023)
Budget Amount *help
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2023: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2022: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2021: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Keywordssecure code / list decoding / probabilistic method / dynamic traitor tracing / fingerprinting / copyright protection / traitor tracing / code rate / decoding algorithm / fingerprinting code / multimedia IPP code / collusion attack / dynamic tracing / Broadcast Encryption / Traitor Tracing / Key Assignment Scheme / Combinatorial Method / Identifying Algorithm
Outline of Research at the Start

Digital media plays a key role in our daily life. Protection against digital content copyright violation is an important but difficult challenge. The traitor tracing method provides an effective way to resist collusion attacks of illegal key redistribution for broadcast encryption. The objective of this project is to analyze and construct traitor tracing key assignment schemes using combinatorial methods, and to build efficient tracing algorithms by virtue of coding-theoretic techniques.

Outline of Annual Research Achievements

Traitor tracing is a mathematical approach for protecting the copyright of digital content against collusion attacks. This project studies combinatorial secure codes for traitor tracing, with a particular focus on exploring their largest code rate and efficient identification algorithms. The obtained results are as follows: 1) A new unified concept of secure codes with list decoding (SCLDs) is proposed by integrating the idea of list decoding into secure codes with complete traceability; 2) Bounds on the largest code rate of SCLDs are derived via the probabilistic method; 3) A two-step decoding algorithm is established for SCLDs, which outperforms known fingerprinting codes in efficiency; 4) A two-stage dynamic framework is proposed for dynamic traitor tracing; 5) New bounds on the largest code rate of binary multimedia IPP codes are established; 6) Several combinatorial and algebraic constructions are developed for SCLDs.

Current Status of Research Progress
Current Status of Research Progress

2: Research has progressed on the whole more than it was originally planned.

Reason

The project is being conducted as planned and is progressing smoothly. New results on the largest code rate, explicit constructions, and decoding algorithms for secure codes with list decoding have been established as desired. These results have been summarized for publication in domestic and international conferences and journals.

Strategy for Future Research Activity

Based on the obtained results, we will further explore the trade-off between the code rate and decoding efficiency of secure codes for traitor tracing using combinatorial and information-theoretical techniques.

Report

(3 results)
  • 2023 Research-status Report
  • 2022 Research-status Report
  • 2021 Research-status Report
  • Research Products

    (37 results)

All 2024 2023 2022 2021 Other

All Int'l Joint Research (6 results) Journal Article (15 results) (of which Int'l Joint Research: 10 results,  Peer Reviewed: 14 results,  Open Access: 1 results) Presentation (16 results) (of which Int'l Joint Research: 7 results,  Invited: 6 results)

  • [Int'l Joint Research] Technical University of Munich(ドイツ)

    • Related Report
      2023 Research-status Report
  • [Int'l Joint Research] Shandong University(中国)

    • Related Report
      2023 Research-status Report
  • [Int'l Joint Research] University of Waterloo(カナダ)

    • Related Report
      2022 Research-status Report
  • [Int'l Joint Research] Skoltech(ロシア連邦)

    • Related Report
      2022 Research-status Report
  • [Int'l Joint Research] Shanghai Normal University(中国)

    • Related Report
      2022 Research-status Report
  • [Int'l Joint Research] Tel Aviv University(イスラエル)

    • Related Report
      2021 Research-status Report
  • [Journal Article] Secure Codes With List Decoding2024

    • Author(s)
      Gu Yujie、Vorobyev Ilya、Miao Ying
    • Journal Title

      IEEE Transactions on Information Theory

      Volume: 70 Issue: 4 Pages: 2430-2442

    • DOI

      10.1109/tit.2023.3301037

    • Related Report
      2023 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Bounds for Binary Multimedia Codes with the Identifiable Parent Property2023

    • Author(s)
      Yang Hongna、Gu Yujie、Zhang Yiwei
    • Journal Title

      Proceedings of 2023 IEEE International Symposium on Information Theory (ISIT)

      Volume: 1 Pages: 2434-2439

    • DOI

      10.1109/isit54713.2023.10206524

    • Related Report
      2023 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Cayley sum graphs and their applications to codebooks2023

    • Author(s)
      Satake Shohei、Gu Yujie
    • Journal Title

      Designs, Codes and Cryptography

      Volume: 91 Issue: 4 Pages: 1315-1333

    • DOI

      10.1007/s10623-022-01152-x

    • Related Report
      2023 Research-status Report
    • Peer Reviewed
  • [Journal Article] Bounds on the Capacity of Private Information Retrieval Over Graphs2023

    • Author(s)
      Sadeh Bar、Gu Yujie、Tamo Itzhak
    • Journal Title

      IEEE Transactions on Information Forensics and Security

      Volume: 18 Pages: 261-273

    • DOI

      10.1109/tifs.2022.3220034

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Explicit Non-malleable Codes from Bipartite Graphs2023

    • Author(s)
      Satake Shohei、Gu Yujie、Sakurai Kouichi
    • Journal Title

      WAIFI 2022: Arithmetic of Finite Fields

      Volume: 13638 Pages: 221-236

    • DOI

      10.1007/978-3-031-22944-2_14

    • ISBN
      9783031229435, 9783031229442
    • Related Report
      2022 Research-status Report
    • Peer Reviewed
  • [Journal Article] Secure codes with list decoding2022

    • Author(s)
      Gu Yujie、Vorobyev Ilya、Miao Ying
    • Journal Title

      2022 IEEE International Symposium on Information Theory (ISIT)

      Volume: - Pages: 2350-2355

    • DOI

      10.1109/isit50566.2022.9834783

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] On the Information-Theoretic Security of Combinatorial All-or-Nothing Transforms2022

    • Author(s)
      Gu Yujie、Akao Sonata、Esfahani Navid Nasr、Miao Ying、Sakurai Kouichi
    • Journal Title

      IEEE Transactions on Information Theory

      Volume: 68 Issue: 10 Pages: 6904-6914

    • DOI

      10.1109/tit.2022.3174008

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Combinatorial secure codes for copyright protection and related problems2022

    • Author(s)
      Jinping Fan、Yujie Gu、Ying Miao
    • Journal Title

      SCIENTIA SINICA Mathematica

      Volume: 53 Issue: 2 Pages: 123-123

    • DOI

      10.1360/ssm-2022-0079

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] On the Security Properties of Combinatorial All-or-nothing Transforms2022

    • Author(s)
      Gu Yujie、Akao Sonata、Esfahani Navid Nasr、Miao Ying、Sakurai Kouichi
    • Journal Title

      2022 IEEE International Symposium on Information Theory (ISIT)

      Volume: - Pages: 1447-1452

    • DOI

      10.1109/isit50566.2022.9834366

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Secure codes with two-stage traitor tracing2022

    • Author(s)
      Yujie Gu
    • Journal Title

      暗号と情報セキュリティシンポジウム 予稿集

      Volume: - Pages: 1-3

    • Related Report
      2021 Research-status Report
  • [Journal Article] Signature codes for weighted binary adder channel and multimedia fingerprinting2021

    • Author(s)
      Fan Jinping; Gu Yujie; Hachimori Masahiro; Ying Miao
    • Journal Title

      IEEE Transactions on Information Theory

      Volume: 67 Issue: 1 Pages: 200-216

    • DOI

      10.1109/tit.2020.3033445

    • Related Report
      2021 Research-status Report
    • Peer Reviewed
  • [Journal Article] Strongly separable matrices for nonadaptive combinatorial group testing2021

    • Author(s)
      Fan Jinping; Fu Hung-Lin; Gu Yujie; Miao Ying; Shigeno Maiko
    • Journal Title

      DISCRETE APPLIED MATHEMATICS

      Volume: 291 Pages: 180-187

    • DOI

      10.1016/j.dam.2020.11.022

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] On Compressed Sensing Matrices Breaking the Square-Root Bottleneck2021

    • Author(s)
      Satake Shohei、Gu Yujie
    • Journal Title

      Proceedings of IEEE Information Theory Workshop

      Volume: - Pages: 416-420

    • DOI

      10.1109/itw46852.2021.9457623

    • Related Report
      2021 Research-status Report
    • Peer Reviewed
  • [Journal Article] Bounds on the Capacity of PIR over Graphs2021

    • Author(s)
      Sadeh Bar、Gu Yujie、Tamo Itzhak
    • Journal Title

      Proceedings of IEEE International Symposium on Information Theory

      Volume: - Pages: 1913-1918

    • DOI

      10.1109/isit45174.2021.9518086

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] On the Non-Adaptive Zero-Error Capacity of the Discrete Memoryless Two-Way Channel2021

    • Author(s)
      Gu Yujie、Shayevitz Ofer
    • Journal Title

      Entropy

      Volume: 23 Issue: 11 Pages: 1518-1518

    • DOI

      10.3390/e23111518

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Presentation] Combinatorial secure codes for traitor tracing2023

    • Author(s)
      Yujie Gu
    • Organizer
      The ninth Canadian Discrete and Algorithmic Mathematics Conference (CanaDAM)
    • Related Report
      2023 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 著作権保護のための組合せ論2023

    • Author(s)
      顧玉杰
    • Organizer
      実験計画法と関連する組合せ構造および統計教育
    • Related Report
      2023 Research-status Report
    • Invited
  • [Presentation] Bounds for Binary Multimedia Codes with the Identifiable Parent Property2023

    • Author(s)
      Yang Hongna、Gu Yujie、Zhang Yiwei
    • Organizer
      2023 IEEE International Symposium on Information Theory (ISIT)
    • Related Report
      2023 Research-status Report
    • Int'l Joint Research
  • [Presentation] Secure codes with list decoding2022

    • Author(s)
      Yujie Gu
    • Organizer
      電子情報通信学会 研究会 IT EMM
    • Related Report
      2022 Research-status Report
    • Invited
  • [Presentation] On the security properties of combinatorial all-or-nothing transforms2022

    • Author(s)
      Yujie Gu, Sonata Akao, Navid Nasr Esfahani, Ying Miao, Kouichi Sakurai
    • Organizer
      2022 IEEE International Symposium on Information Theory (ISIT)
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research
  • [Presentation] Secure codes with list decoding2022

    • Author(s)
      Yujie Gu, Ilya Vorobyev, and Ying Miao
    • Organizer
      2022 IEEE International Symposium on Information Theory (ISIT)
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research
  • [Presentation] Private Information Retrieval Meets Graph Based Replication Systems2022

    • Author(s)
      Yujie Gu
    • Organizer
      名古屋組合せ論セミナー
    • Related Report
      2022 Research-status Report
    • Invited
  • [Presentation] Private information retrieval over graphs2022

    • Author(s)
      Yujie Gu
    • Organizer
      第21回情報科学技術フォーラム (FIT2022)
    • Related Report
      2022 Research-status Report
    • Invited
  • [Presentation] Privacy Protection in Information Retrieval via Graph Edge Colorings2022

    • Author(s)
      Yujie Gu
    • Organizer
      Data Science Institute, Shandong University
    • Related Report
      2022 Research-status Report
    • Invited
  • [Presentation] A mathematical study of copyright protection2022

    • Author(s)
      Yujie Gu
    • Organizer
      Asian Deans' Forum 2022 - The Rising Stars Women in Engineering Workshop
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research
  • [Presentation] 組み合わせ AONT の安全性に関するエントロピー解析2022

    • Author(s)
      赤尾 奏名汰, 顧 玉杰, 櫻井 幸一
    • Organizer
      暗号と情報セキュリティシンポジウム
    • Related Report
      2021 Research-status Report
  • [Presentation] Secure codes with two-stage traitor tracing2022

    • Author(s)
      顧 玉杰
    • Organizer
      暗号と情報セキュリティシンポジウム
    • Related Report
      2021 Research-status Report
  • [Presentation] On compressed sensing matrices breaking the square-root bottleneck2021

    • Author(s)
      Shohei Satake and Yujie Gu
    • Organizer
      IEEE Information Theory Workshop
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research
  • [Presentation] Bounds on the capacity of PIR over graphs2021

    • Author(s)
      Bar Sadeh, Yujie Gu, and Itzhak Tamo
    • Organizer
      IEEE International Symposium on Information Theory
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research
  • [Presentation] グラフ理論に基づく頑健性符号の構成2021

    • Author(s)
      佐竹 翔平, 顧 玉杰, 櫻井 幸一
    • Organizer
      電子情報通信学会技術研究報告
    • Related Report
      2021 Research-status Report
  • [Presentation] 悉無律を満たす組み合わせ変換の情報理論的安全性に関する研究2021

    • Author(s)
      赤尾 奏名汰, 顧 玉杰, 櫻井 幸一
    • Organizer
      第44回情報理論とその応用シンポジウム
    • Related Report
      2021 Research-status Report

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Published: 2021-04-28   Modified: 2024-12-25  

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