Verifiable secret sharing mechanism is an efficient and practical secret sharing mechanism. Feldman Verifiable sum is a multi-party private data summation module based on verifiable secret sharing.This component can sum the same feature of common users among different participants without exposing private data.（This module is still in the research stage, has not yet been put into production）
Here, three participants of the federation process is given, Party A represents Guest, party B and party C represent Host. The process of Feldman Verifiable Sum is shown below:
Figure 1: Process of Feldman Verifiable Sum
Figure 2: Process of share sub-key
In the process shown above, each party encrypts its own secret value, share sub-key, recieve sub-keys from other parties, and then combine all these sub-keys. Guest, as the task initiator, initialize the parameters and decrypt the sum result.
In general, this component can be used in the data preprocessing stage to count some features. It supports integers and floating-point numbers from - 2 ^ 63 to 2 ^ 64. By default, the maximum precision is set to 6 decimal places.
::: federatedml.param.feldman_verifiable_sum_param rendering: heading_level: 3 show_source: true show_root_heading: true show_root_toc_entry: false show_root_full_path: false
1.Supports summation of floating-point numbers and negative numbers
2.Attacks can be detected when the malicious participant is less than (n-1)/2