Universal Construction of Cheater-Identifiable Secret Sharing Against Rushing Cheaters Based on Message Authentication

Masahito Hayashi, Takeshi Koshiba

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    1 Citation (Scopus)

    Abstract

    For conventional secret sharing, if cheaters can submit possibly forged shares after observing shares of the honest users in the reconstruction phase, they can disturb the protocol and only they can reconstruct the true secret. To overcome the problem, secret sharing scheme with properties of cheater-identification have been proposed. Existing protocols for cheater-identifiable secret sharing assumed non-rushing cheaters or honest majority. In this paper, using message authentication, we remove both conditions simultaneously, and give its universal construction from any secret sharing scheme. To resolve this end, we explicitly propose the concepts of 'individual identification' and 'agreed identification'. For both settings, we provide protocols for cheater-identifiable secret sharing. In our protocols, the security parameter can be set independently of the share size and the underlying finite field size.

    Original languageEnglish
    Title of host publication2018 IEEE International Symposium on Information Theory, ISIT 2018
    PublisherInstitute of Electrical and Electronics Engineers Inc.
    Pages2614-2618
    Number of pages5
    Volume2018-June
    ISBN (Print)9781538647806
    DOIs
    Publication statusPublished - 2018 Aug 15
    Event2018 IEEE International Symposium on Information Theory, ISIT 2018 - Vail, United States
    Duration: 2018 Jun 172018 Jun 22

    Other

    Other2018 IEEE International Symposium on Information Theory, ISIT 2018
    CountryUnited States
    CityVail
    Period18/6/1718/6/22

    Keywords

    • Cheater-identification
    • Message authentication
    • Rushing cheater
    • Secret sharing
    • Universal construction
    • Without honest majority

    ASJC Scopus subject areas

    • Theoretical Computer Science
    • Information Systems
    • Modelling and Simulation
    • Applied Mathematics

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  • Cite this

    Hayashi, M., & Koshiba, T. (2018). Universal Construction of Cheater-Identifiable Secret Sharing Against Rushing Cheaters Based on Message Authentication. In 2018 IEEE International Symposium on Information Theory, ISIT 2018 (Vol. 2018-June, pp. 2614-2618). [8437751] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ISIT.2018.8437751