Publicly Verifiable Outsourcing Computation for QR Decomposition Based on Blockchain

In the Big Data Era, outsourcing computation has become increasingly significant as it supplies resources for clients with limited resources. However, there are still many security challenges such payment fairness, privacy protection, and verification. this paper, we propose a secure publicly verifiable scheme large-scale matrix QR decomposition. proposed scheme, client can pay services through blockchain-based system which achieves fairness. Moreover, to protect privacy, both permutation block diagonal applied in encryption process. Meanwhile, achieve public verification, computational complexity is reduced by using digest technology. It worth mentioning that our provable under co-CDH assumption.