This crate provides traits and implementations for function secret sharing schemes.
Currently the following functions are supported:
A point function f_{x, y} is a function which evaluates to y on input x, and 0 everywhere else in it's domain. We provide implementations of the following point functions:
- [[BGI18]]: the domain is
D: {0, 1}^nand the rangeRis some fieldF.
An interval function f_{x, y} is a function which evaluates to y on input a where a < x, and 0 everywhere else in it's domain. We provide implementations of the following interval functions:
- [[BGI18]]: the domain is
D: {0, 1}^nand the rangeRis some fieldF. Note that this scheme also supports the rangeRbeing equal to any abelian groupG, but we have not implemented this since the library we use for algebraic abstractions does not provide a trait for abelian groups.
Function Secret Sharing
Elette Boyle, Niv Gilboa, and Yuval Ishai
Eurocrypt 2015