On combinatorial structures and algorithms common to digital fingerprinting and group testing

• Project/Area Number: 15K04974
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Foundations of mathematics/Applied mathematics
• Research Institution: University of Tsukuba
• Principal Investigator: Miao Ying 筑波大学, システム情報系, 教授 (10302382)
• Co-Investigator(Kenkyū-buntansha): 藤原 良叔 筑波大学, システム情報系(名誉教授), 名誉教授 (30165443)
• Project Period (FY): 2015-04-01 – 2018-03-31
• Project Status: Completed (Fiscal Year 2017)
• Budget Amount: ¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000); Fiscal Year 2017: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000); Fiscal Year 2016: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000); Fiscal Year 2015: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
• Keywords: デジタル指紋 / グループ検査 / 組合せ構造 / アルゴリズム / 構成法 / 最適 / ゼロ差均衡関数 / traceability scheme / frameproof code / fingerprinting / encryption / zero-difference / マルチメディアIPP符号 / 分離可能符号 / SUT 族 / frameproof 符号 / マルチメディア IPP 符号

Outline of Final Research Achievements

We have investigated properties and construction of combinatorial structures common to digital fingerprinting and group testing, and developed tracing/ identification algorithms based on these structures. We have introduced strongly separable codes and multimedia IPP codes, and developed tracing algorithms based on these codes. We have derived tight upper and lower bounds on the sizes of separable codes, frameproof codes, multimedia IPP codes, and traceability schemes. We have constructed infinite series of perfect hash families, optimal separable codes, optimal strongly separable codes, and optimal multimedial IPP codes. We have used generalized cyclotomy to construct infinite series of zero-difference balanced functions, and then constructed many sequences used in communication.

Research Products

• [Int'l Joint Research] 西南交通大学/広西師範大学/台湾交通大学(中国)
• [Int'l Joint Research] メリーランド大学/カリフォルニア大学(米国)
• [Int'l Joint Research] ロンドン大学(英国)
• [Int'l Joint Research] スコルコボ科学技術学院(ロシア連邦)
• [Int'l Joint Research] 西南交通大学/広西師範大学(中国)
• [Journal Article] Bounds on traceability schemes (2018)
  • Author(s): Y. Gu, Y. Miao
  • Journal Title: IEEE Transactions on Information Theory Volume: 64 Issue: 5 Pages: 3450-3460
  • DOI: 10.1109/tit.2017.2766659
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] New bounds for frameproof codes (2017)
  • Author(s): C. Shangguan, X. Wang, G. Ge, Y. Miao
  • Journal Title: IEEE Transactions on Information Theory Volume: 63 Issue: 11 Pages: 7247-7252
  • DOI: 10.1109/tit.2017.2745619
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Zero-difference balanced functions with new parameters and their applications (2017)
  • Author(s): H. Cai, Z. Zhou, X. Tang, Y. Miao
  • Journal Title: IEEE Transactions on Information Theory Volume: 印刷中 Issue: 7 Pages: 4379-4387
  • DOI: 10.1109/tit.2017.2675441
  • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Codes with the identifiable parent property for multimedia fingerprinting (2017)
  • Author(s): M. Cheng, H.-L. Fu, J. Jiang, Y.-H. Lo, Y. Miao
  • Journal Title: Designs, Codes and Cryptography Volume: 83 Issue: 1 Pages: 71-82
  • DOI: 10.1007/s10623-016-0203-x
  • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Bounds and constructions for 3-separable codes of length 3 (2016)
  • Author(s): M. Cheng, J. Jiang, H. Li, Y. Miao and X. Tang
  • Journal Title: Designs, Codes and Cryptography Volume: 印刷中 Issue: 2 Pages: 317-335
  • DOI: 10.1007/s10623-015-0160-9
  • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Strongly separable codes (2015)
  • Author(s): J. Jiang, M. Cheng and Y. Miao
  • Journal Title: Designs, Codes and Cryptography Volume: 印刷中 Issue: 2 Pages: 303-318
  • DOI: 10.1007/s10623-015-0050-1
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Perfect hash families of strength three with three rows from varieties on finite projective geometries (2015)
  • Author(s): R. Fuji-Hara
  • Journal Title: Designs, Codes and Cryptography Volume: 印刷中 Issue: 2-3 Pages: 351-356
  • DOI: 10.1007/s10623-015-0052-z
  • Peer Reviewed
• [Presentation] 電子指紋の組合せ理論 (2017)
  • Author(s): Y. Miao
  • Organizer: 日本数学会2017年度年会
  • Place of Presentation: 首都大学東京（東京都八王子市）
  • Year and Date: 2017-03-24
  • Invited
• [Presentation] 深層学習の中の組合せ的デザイン問題 (2017)
  • Author(s): 藤原良叔
  • Organizer: 研究集会:実験計画法と符号および関連する組合せ構造
  • Invited
• [Presentation] 超大容量通信・メモリー時代の符号を考える (2016)
  • Author(s): 藤原良叔
  • Organizer: 研究集会「実験計画法と符号および関連する組合せ構造」
  • Place of Presentation: 秋保リゾート ホテルクレセント（宮城県仙台市）
  • Year and Date: 2016-11-28
  • Invited
• [Presentation] IPP codes for multimedia fingerprinting (2016)
  • Author(s): Y. Miao
  • Organizer: National Conference on Combinatorial Designs
  • Place of Presentation: 浙江大学、杭州市（中華人民共和国）
  • Year and Date: 2016-07-08
  • Int'l Joint Research / Invited
• [Presentation] Identification of non-zero coordinates in a sparse vector (2016)
  • Author(s): Y. Miao
  • Organizer: Workshop on Coding Theory and Cryptography
  • Place of Presentation: Xiangshan Business Hotel, Beijing, People's Republic of China
  • Year and Date: 2016-07-02
  • Int'l Joint Research / Invited
• [Presentation] Anti-collusion codes and tracing algorithms for multimedia fingerprinting (2016)
  • Author(s): Y. Miao
  • Organizer: Workshop on Coding Theory and Cryptography
  • Place of Presentation: Xiangshan Business Hotel, Beijing, People's Republic of China
  • Year and Date: 2016-07-02
  • Int'l Joint Research / Invited
• [Presentation] Separable codes and related tracing algorithms for multimedia fingerprinting (2016)
  • Author(s): Y. Miao
  • Organizer: Workshop on Graph Theory and Combinatorics of Yangtze Delta
  • Place of Presentation: 南京師範大学、南京市（中華人民共和国）
  • Year and Date: 2016-04-15
  • Int'l Joint Research
• [Presentation] Identification of non-zero coordinates in a sparse vector (2016)
  • Author(s): Y. Miao
  • Organizer: 現代分析とその応用研究集会
  • Place of Presentation: 清華大学、北京市（中華人民共和国）
  • Int'l Joint Research / Invited
• [Presentation] Perfect Hash Families with Strength Three with Three Rows (2015)
  • Author(s): R. Fuji-Hara
  • Organizer: Algebraic Combinatorics and Applications
  • Place of Presentation: Michigan Technological University, Houghton, Michigan, USA
  • Year and Date: 2015-08-26
  • Invited
• [Remarks]
  • URL: http://www.ci.gxnu.edu.cn/shizi/show-151.html
• [Remarks]
  • URL: http://userweb.swjtu.edu.cn/Userweb/xhutang/english.htm