Blockchain Transaction Verification via Homomorphic Encryption

The patent applies preliminary action by pre-generating range proofs for multiple transactions before they are submitted to the blockchain network. These range proofs are created in advance using the account balance model, allowing verification nodes to validate multiple transactions simultaneously without performing sequential cryptographic operations. This pre-computation approach enables parallel verification while maintaining the mathematical correctness guarantees of traditional sequential verification.

The patent extracts the computationally intensive cryptographic operations from the verification process. By using the account balance model with pre-generated range proofs, the heavy computational burden of proving transaction validity is shifted to the transaction initiator rather than the verification nodes. Verification nodes only need to perform simple validation checks on the provided proofs, dramatically reducing their computational complexity while maintaining strong privacy protection through cryptographic commitments.

The patent merges multiple individual range proof verifications into a single parallel verification process. By representing multiple transactions and their corresponding range proofs in a unified account balance model framework, the system can verify all proofs simultaneously using homomorphic properties of the underlying cryptographic commitments. This combining approach maintains the rigorous correctness checks of individual proof verification while achieving parallel processing efficiency.