Cryptology ePrint Archive: Report 2017/457

Universal Construction of Cheater-Identifiable Secret Sharing Against Rushing Cheaters without Honest Majority

Masahito Hayashi and Takeshi Koshiba

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 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, we remove both conditions simultaneously, and give its universal construction from any secret sharing scheme. To resolve this end, we propose the concepts of "individual identification" and "agreed identification".

Category / Keywords: foundations / secret sharing, universal construction, rushing cheater, cheater- identification, without honest majority

Date: received 23 May 2017

Contact author: tkoshiba at waseda jp

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Version: 20170525:124835 (All versions of this report)

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