Accelerating Number Theoretic Transform with Multi-GPU Systems for Efficient Zero Knowledge Proof

Abstract

Zero-knowledge proofs validate statements without revealing any information, pivotal for applications such as verifiable outsourcing and digital currencies. However, their broad adoption is limited by the prolonged proof generation times, mainly due to two operations: Multi-Scalar Multiplication (MSM) and Number Theoretic Transform (NTT). While MSM has been efficiently accelerated using multi-GPU systems, NTT has not, due to the high inter-GPU communication overhead incurred by its permutation data access pattern.