Realization of ZKRP Algorithm via Homomorphic Encryption Methods

Abstract

Zero-knowledge Range Proof(ZKRP) has gained increasing interest due to its applications in blockchain and cryptocurrencies in particular.ZKRP provides a mechanism to prove that a hidden integer belongs to a given interval without revealing any information about hidden integers.Some ZKRP depends on an honest and reliable third party.Others avoid from the third party.Currently, one of the famous ZKRP is the so-called Bulletproofs proposed by Bunz et al.Applying well-known homomorphic encryption methods in realizing ZKRP is a prospective direction.This paper proposes a new ZKRP based on one of the well-known homomorphic encryption methods-the order-preserving encryption method.