Bulletproofs

Bulletproofs are an innovative form of zero-knowledge proof that enables the verification of a secret’s existence within a defined range. These proofs are characterized by their succinctness, non-interactivity, and lack of reliance on a trusted setup, making them highly efficient for validating commitments in Confidential Transactions. What sets Bulletproofs apart from other proofing systems is their ability to combine multiple range proofs into a single, compact proof, showcasing both efficiency and security, even though their verification time may be longer when compared to zk-SNARKs.