Range proofs are a cryptographic technique that allows a prover to demonstrate that a secret value lies within a specified numerical range without revealing the actual value. This primitive is essential for privacy-preserving transactions and smart contracts on blockchains. It ensures that certain conditions, such as transaction amounts, fall within acceptable bounds without disclosing sensitive information. This technology enhances confidentiality in decentralized systems.
Context
Range proofs are a critical component in discussions about privacy solutions for blockchain, such as confidential transactions and zero-knowledge protocols. Debates often focus on optimizing their computational efficiency and proof size. Future advancements aim to make range proofs more practical and widely integrated into privacy-focused digital asset applications and decentralized exchanges.
This research extends inner-product arguments to integers, enabling succinct, batchable zero-knowledge proofs for arithmetic circuits and range proofs.
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