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- W4328006249 abstract "We propose a protocol able to show publicly addition and multiplication on secretly shared values. To this aim, we developed a protocol based on the use of masks and FMPC (Fourier Multi-Party Computation). FMPC is a novel multiparty computation protocol of arithmetic circuits based on secret-sharing, capable to compute the addition and multiplication of secrets with no communication. We achieve this task by introducing the first generalization of Parseval's identity for Fourier series applicable to an arbitrary number of inputs and a new algebra referred to as the <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>$Theta^{[n]}-algebra$</tex> . FMPC operates in a setting where users wish to compute a function over some secret inputs by submitting the computation to a set of nodes, without revealing those inputs. FMPC offloads most of the computational complexity to the end users and includes an online phase that mainly consists of each node locally evaluating specific functions. FMPC paves the way for a new kind of multiparty computation protocol; making it possible to compute the addition and multiplication of secrets stepping away from circuit garbling and the traditional algebra introduced by Donald Beaver in 1991. Our protocol is capable to compute addition and multiplication with no communication and its simplicity provides efficiency and ease of implementation." @default.
- W4328006249 created "2023-03-22" @default.
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- W4328006249 date "2022-08-01" @default.
- W4328006249 modified "2023-09-26" @default.
- W4328006249 title "Efficient Multiparty Protocols Using Generalized Parseval's Identity and the Theta Algebra" @default.
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- W4328006249 doi "https://doi.org/10.1109/mcsi55933.2022.00008" @default.
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