Cryptology ePrint Archive: Report 2018/083

Flaws in a Verifiably Multiplicative Secret Sharing Scheme from ICITS 2017

Maki Yoshida and Satoshi Obana

Abstract: In this paper, we point out flaws in an existing verifiably multiplicative secret sharing (VMSS) scheme. Namely, we show that a scheme proposed by Yoshida and Obana presented at ICITS 2017 is insecure against an adversary who corrupts a single player. We then show that in the model of ICITS 2017 which restricts the decoder additive, the error-free verification is impossible. We further show that by allowing a general class of decoders which include a linear one, the scheme is error-free.

Category / Keywords: foundations / secret sharing, multiplicative, verifiability, cryptanalysis

Date: received 21 Jan 2018

Contact author: maki-yos at nict go jp

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Version: 20180126:061614 (All versions of this report)

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