Abstract
We propose an efficient statistically secure asynchronous multiparty computation (AMPC) protocol with optimal fault tolerance; i.e., with n = 3t + 1, where n is the total number of parties and t is the number of parties that can be under the influence of a Byzantine (active) adversary \({\cal A}_t\) having unbounded computing power. Our protocol privately communicates \({\cal O}(n^5 \kappa)\) bits per multiplication gate and involves a negligible error probability of 2 − Ω(κ), where κ is the error parameter. As far as our knowledge is concerned, the only known statistically secure AMPC protocol with n = 3t + 1 is due to [7], which privately communicates Ω(n 11 κ 4) bits and A-casts Ω(n 11 κ 2 log(n)) bits per multiplication gate. Here A-cast is an asynchronous broadcast primitive, which allows a party to send some information to all other parties identically. Thus our AMPC protocol shows significant improvement in communication complexity over the AMPC protocol of [7].
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Patra, A., Choudhary, A., Rangan, C.P. (2010). Communication Efficient Statistical Asynchronous Multiparty Computation with Optimal Resilience. In: Bao, F., Yung, M., Lin, D., Jing, J. (eds) Information Security and Cryptology. Inscrypt 2009. Lecture Notes in Computer Science, vol 6151. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16342-5_14
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DOI: https://doi.org/10.1007/978-3-642-16342-5_14
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