A Survey on Range Proof And Its Applications on Blockchain

Blockchain is one of the hot research technologies recently. Blockchain-based distributed ledger requires that all the transactions are public and transparent such that the transactions information is recorded on the chain, which may easily cause the privacy disclosure and other problems. Therefore, in order to preserve users' privacy, the transaction amount should be hidden. The common method is homomorphic commitment. When verifying the legitimacy of a transaction, using the range proof protocol to verify that the transaction amount is non-negative. This paper studied and summarized the range proof protocol based on zero-knowledge proof. We discussed the definition of range proof, the research results, the classification of algorithm, the security and efficiency for each algorithm. This paper discussed further directions for the future research.