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Extra info for Applied Cryptography and Network Security: 13th International Conference, ACNS 2015, New York, NY, USA, June 2-5, 2015, Revised Selected Papers
Whenever the computation succeeds, TVSFE guarantees that the results are correct. , the computation does not fail) depends on which parties are corrupted. Privacy and robustness with respect to R are guaranteed as long as only a minority of computation parties are corrupted. If not, then in line 6, TVSFE sends the honest parties’ inputs to the adversary; and in line 12, it gives the adversary the option to block the computation by sending ⊥. Note that the adversary receives the inputs of the honest parties after it provides the inputs of the corrupted parties, so even if privacy is broken, the adversary cannot choose the corrupted parties’ inputs based on the honest parties’ inputs.
The secret sharing protocol distributes shares of the secret among n parties in the presence of an adversary who may corrupt up to t parties; security of the secret sharing scheme ensures that such an adversary will learn no information about the secret. However, traditional secret sharing may be insuﬃcient in some real-world settings; speciﬁcally, settings that may require a secret to be secured for a long period of time, especially with respect to the ability of an adversary to eventually corrupt all parties.
Secure arithmetic computation with no honest majority. In: Reingold, O. ) TCC 2009. LNCS, vol. 5444, pp. 294–314. :. Extensions to the Paillier cryptosystem with applications to cryptological protocols. D. thesis, University of Aarhus (2003) 22 B. Schoenmakers and M. : Eﬃcient threshold zero-knowledge with applications to user-centric protocols. In: Smith, A. ) ICITS 2012. LNCS, vol. 7412, pp. 147–166. : Proactive two-party signatures for user authentication. In: Proceedings of NDSS 2003. : Public-key cryptosystems based on composite degree residuosity classes.
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