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International Journal of Theoretical Physics

Multi-secret Sharing Model based on Hermite Interpolation Polynomial and Quantum Graph State

Quan Zhou, Hongli Lv

Published Jul 1, 2020• 2 citations
Publisher
DOI
10.1007/s10773-020-04494-1

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In this paper, the problem of secure two-party multiplication of shared secrets is considered, and it is one of problems of secure multi-party computation, where the policy for the shared secrets is based on polynomial interpolation. Firstly, a secure two-party protocol for polynomial multiplication is presented. Secondly, based on the first protocol, a protocol for secure two-party multiplication of shared secrets for semi-honest model is proposed, which is employed to multiply two shared secrets without revealing the private information of two parties. Furthermore, based on the definition of secure two-party computation and Composition Theorem, the proofs of security and analysis of the correctness and the complexity of our two protocols are given.