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FMPC is a novel multiparty computation protocol of arithmetic circuits basedon secret-sharing, capable of computing multiplication of secrets with noonline communication; it thus enjoys constant online communication latency inthe size of the circuit. FMPC is based on the application of Fourier series toParseval's identity, and introduces the first generalization of Parseval'sidentity for Fourier series applicable to an arbitrary number of inputs. FMPCoperates in a setting where users wish to compute a function over some secretinputs by submitting the computation to a set of nodes, but is only suitablefor the evaluation of low-depth arithmetic circuits. FMPC relies on an offlinephase consisting of traditional preprocessing as introduced by establishedprotocols like SPDZ, and innovates on the online phase that mainly consists ofeach node locally evaluating specific functions. FMPC paves the way for a newkind of multiparty computation protocols capable of computing multiplication ofsecrets as an alternative to circuit garbling and the traditional algebraintroduced by Donald Beaver in 1991.

FMPC: Secure Multiparty Computation from Fourier Series and Parseval's Identity