One of research goals on multi-party computation (MPC) is to achieve both perfectly secure and efficient protocols for basic functions or operations (e.g., equality, comparison, bit decomposition, and modular exponentiation). Recently, for many basic operations, MPC protocols with constant rounds and linear communication cost (in the input size) are proposed. In this paper, we propose the first MPC protocol for prefix sum in general semigroups with constant 2d+2dc rounds and almost linear O(l log*(c) l) communication complexity, where c is a constant, d is the round complexity of subroutine protocol used in the MPC protocol, l is the input size, and log*(c) is the iterated logarithm function. The prefix sum protocol can be seen as a generalization of the postfix comparison protocol proposed by Toft. Moreover, as an application of the prefix sum protocol, we construct the first bit addition protocol with constant rounds and almost linear communication complexity. © 2014 Springer International Publishing.
CITATION STYLE
Ohara, K., Ohta, K., Suzuki, K., & Yoneyama, K. (2014). Constant rounds almost linear complexity multi-party computation for prefix sum. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 8469 LNCS, pp. 285–299). Springer Verlag. https://doi.org/10.1007/978-3-319-06734-6_18
Mendeley helps you to discover research relevant for your work.