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Protocol primitives

Introduction #

Protocol primitives #

In this section, we detail commonly used primitives in zero-knowledge protocols.

Random Sampling
In this section, we describe how to uniformly sample from different groups using rejection sampling.
Fiat-Shamir transformation
Here, we describe what the Fiat-Shamir transformation is, its goals, its pitfalls, and its different versions.
Nothing-up-my-sleeve constructions
Generic, honest, and deterministic method to sample elements.
Shamir's Secret Sharing Scheme
An overview of Shamir’s Secret Sharing scheme and potential security pitfalls.
Feldman's Verifiable Secret Sharing
A verifiable version of Shamir’s secret sharing scheme due to Feldman.
Alternative versions of Shamir's Secret Sharing scheme
Secret sharing alternatives which do not hide the secret in the constant term of the polynomial.