Hierarchical Secret Sharing Schemes Secure Against Rushing Adversary: Cheater Identification and Robustness

  • Partha Sarathi RoyEmail author
  • Sabyasachi Dutta
  • Kirill Morozov
  • Avishek Adhikari
  • Kazuhide Fukushima
  • Shinsaku Kiyomoto
  • Kouichi Sakurai
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11125)


Threshold access structures of secret sharing schemes capture a scenario in which all the participants have the same weight (or power) and their contributions are equal. However, in some situations such as gradation among officials in an organization, the participants have different weights. Hierarchical access structures capture those natural scenarios, where different levels of hierarchy are present and a participant belongs precisely to one of them. Although an extensive research addressing the issues of cheater identifiability and robustness have been done for threshold secret sharing, no such research has been carried out for hierarchical secret sharing (HSS). This paper resolves this long-standing open issue by presenting definitions and constructions of both cheater identifiable and robust HSS schemes secure against rushing adversary, in the information-theoretic setting.


Hierarchical secret sharing Cheater identification Robustness Rushing adversary Multi-receiver authentication code Universal hash function 


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© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Partha Sarathi Roy
    • 1
    Email author
  • Sabyasachi Dutta
    • 2
  • Kirill Morozov
    • 3
  • Avishek Adhikari
    • 4
  • Kazuhide Fukushima
    • 1
  • Shinsaku Kiyomoto
    • 1
  • Kouichi Sakurai
    • 5
  1. 1.Information Security LaboratoryKDDI Research, Inc.FujiminoJapan
  2. 2.R. C. Bose Centre for Cryptology and SecurityIndian Statistical InstituteKolkataIndia
  3. 3.Department of Computer Science and EngineeringUniversity of North TexasDentonUSA
  4. 4.Department of Pure MathematicsUniversity of CalcuttaKolkataIndia
  5. 5.Faculty of Information Science and Electrical EngineeringKyushu UniversityFukuokaJapan

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