A Comprehensive Study for Integrating Pedersen Commitments with Zero-Knowledge Proofs in SMPC

Abstract

This study explores a hybrid Secure Multi-Party Computation (SMPC) protocol combining Pedersen commitments and Zero-Knowledge Proofs (ZKPs) to ensure input integrity and computational correctness while preserving privacy. We propose a comprehensive framework for secure collaborative computations, addressing critical challenges in scalability, security, and efficiency. The proposed methodology is rigorously evaluated through theoretical analysis, highlighting its advantages and potential applications in cutting-edge domains such as blockchain technology and privacy-preserving data analytics. This research aims to provide a deep and nuanced perspective on how these advanced cryptographic primitives can be effectively integrated to significantly enhance the robustness, practical applicability, and trustworthiness of SMPC in real-world scenarios, particularly in sensitive domains such as finance, healthcare, and decentralized systems, where data confidentiality and integrity are paramount.