Generate Bulletproof

WHAT IT DOES

Generate Bulletproof enables you to create Bulletproof range proofs, a zero-knowledge proof system that proves that a secret value lies within a specified range without revealing the value itself. Bulletproofs are unique among zero-knowledge proof systems in that they require no trusted setup, have logarithmic proof size, and are efficient for range proofs on confidential transactions and private asset transfers. The tool takes input values (JSON or text), range parameters (minimum and maximum), and a proof variant selection (Bulletproofs or Bulletproofs+), and generates a complete Bulletproof proof that demonstrates the input value is within the specified range. The proof uses inner product arguments and Pedersen commitments to achieve logarithmic proof size (O(log n) for n-bit ranges). This is essential for applications requiring confidential transactions, private asset transfers, and privacy-preserving financial applications without trusted setup.

HOW TO USE

Connect your wallet using the BGWallet connector (required for context). Select your proof variant: Bulletproofs (standard) or Bulletproofs+ (improved efficiency). Select the input format: "JSON" for structured inputs (recommended) or "Text" for simple single-value inputs. Enter the input values in the text area—for JSON, provide an object with a "value" field (e.g., {"value": 42}); for text, enter a number directly. Specify the range minimum and maximum values. Click "Generate Proof" to run the proof generation process. The tool displays the proof variant, input format, range, and the generated proof, which includes the Bulletproof commitment and inner product arguments. You can copy the complete proof to your clipboard for use with smart contracts or off-chain verification systems.

TECHNICAL MECHANISM

This tool implements Bulletproof range proof generation using the inner product argument (IPA) protocol. The range proof demonstrates that a committed value v lies in the range [0, 2^n - 1] without revealing v. The proof construction involves: (1) committing to the secret value v using a Pedersen commitment; (2) computing the binary representation of v; (3) constructing a vector of commitments to the bits; (4) generating the inner product argument that proves the bit commitments are valid; (5) producing the proof tuple consisting of the commitment, the challenge points, and the final inner product argument. Bulletproofs+ improves upon the original with reduced proof size and verification time by using a different aggregation scheme. The proof size is logarithmic in the range size (O(log n)), making it practical for large ranges. The tool uses the R1CS curve (typically secp256k1 or ed25519) for the cryptographic operations. All computation is performed locally in the browser with no data sent to external servers.

WHAT IT CANNOT SEE

This tool cannot verify that the inputs correspond to actual on-chain state or values—you must ensure the input value is correct and matches the range constraints. It does not support all zero-knowledge proof systems (only Bulletproofs). The tool cannot generate proofs without the circuit-specific parameters; range parameters are required for proof generation. It does not support hardware acceleration for proof generation; all computation is done in software in the browser. The tool cannot verify the correctness of the proof parameters without additional trust assumptions; you must trust the parameter generation. It does not support proof generation for circuits larger than browser memory limits; very large ranges may cause performance issues. The tool cannot guarantee the security of the generated proof if the parameters are compromised; parameter integrity is essential. It does not support proof aggregation or recursive proofs; it only generates a single range proof. The tool cannot generate proofs for circuits with mutable or dynamic parameters; the range parameters must be fixed. It does not support all Bulletproofs variants or customized constraints beyond standard range proofs. The proof size scales logarithmically with input size but may still be large for high-bit ranges (e.g., 64-bit ranges produce ~2KB proofs).

PLEASE NOTE

This tool is designed for developers working with Bulletproof range proofs, which are widely used in confidential transactions, private asset transfers, and privacy-preserving financial applications. Bulletproofs require no trusted setup, eliminating the need for multi-party computation ceremonies. The proof size is logarithmic in the range size, making them practical for large ranges (e.g., 64-bit ranges). Bulletproofs+ provides improved efficiency with smaller proof sizes and faster verification. The tool uses standard cryptographic curves for Pedersen commitments and inner product arguments. The generated proof includes the commitment, challenge points, and inner product argument components. Always verify the generated proof using a standard Bulletproof verification library before using it in production systems. The tool is read-only and does not broadcast to the chain; it is intended for offline proof generation and testing. The proof is deterministic for a given set of inputs and parameters, making it suitable for reproducible builds and testing.