This paper addresses the challenges of verification efficiency in high-concurrency environments within digital asset trading platforms. We propose an optimized scheme based on Decentralized Identifiers (DID) and Schnorr aggregate signatures. By leveraging DID technology for decentralized identity management and employing an aggregate signature mechanism, our scheme significantly reduces the computational overhead of verifying multiple rights credentials, ensuring verification costs remain constant regardless of the number of credentials. Experimental results demonstrate that the proposed scheme offers substantial improvements in verification speed, achieving notable gains in large-scale transaction scenarios compared to traditional single-signature verification methods. Additionally, the scheme shows marked advantages in computational efficiency, storage overhead, and transaction throughput. The paper further explores the practical applications of the proposed scheme in digital asset trading, digital copyright protection, e-government, and supply chain finance. Our findings indicate that the scheme effectively enhances the efficiency and security of digital rights transactions, providing a promising solution for decentralized platforms.