IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Online ISSN : 1745-1337
Print ISSN : 0916-8508
Regular Section
Universally Composable and Statistically Secure Verifiable Secret Sharing Scheme Based on Pre-Distributed Data
Rafael DOWSLEYJörn MÜLLER-QUADEAkira OTSUKAGoichiro HANAOKAHideki IMAIAnderson C.A. NASCIMENTO
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2011 Volume E94.A Issue 2 Pages 725-734

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Abstract

This paper presents a non-interactive verifiable secret sharing scheme (VSS) tolerating a dishonest majority based on data pre-distributed by a trusted authority. As an application of this VSS scheme we present very efficient unconditionally secure protocols for performing multiplication of shares based on pre-distributed data which generalize two-party computations based on linear pre-distributed bit commitments. The main results of this paper are a non-interactive VSS, a simplified multiplication protocol for shared values based on pre-distributed random products, and non-interactive zero knowledge proofs for arbitrary polynomial relations. The security of the schemes is proved using the UC framework.

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© 2011 The Institute of Electronics, Information and Communication Engineers
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