A Publicly Verifiable Non-Interactive Secret Sharing Scheme Based on ECC

Abstract

A non-interactive zero-knowledge proof protocol based on Elliptic Curve Encryption was proposed,and based this protocol,a publicly verified secret sharing scheme was proposed too.In the scheme,secret and secret shadow were embedded onto the points of Elliptic Curve,anybody can verify them publicly,and only the legitimate participants set can recover the secret key,but knowing nothing about the secret key.This scheme can prevent adversaries from getting the secret,the dealer from distributing improper data and the participants from cheating each other efficiently.Furthermore, it is propitious for the replication and update of secret.