Blockchain technology has the potential to transform the education system in various ways, including the verification of certificates and digital identity management. The use of blockchain-based systems can eliminate the need for manual verification of certificates, which is time-consuming and labour-intensive. Instead, blockchain-based systems can enable instant and secure verification of certificates, making the process more efficient and reliable.This proposed work focuses on implementing the Plonk system in the education sector to enhance the security, privacy, and efficiency of blockchain-based verifiable certificate (VC) digital identity verification and management systems (DIVMS). The methodology involves designing and developing the Plonk system, integrating it with existing DIVMS, testing and evaluating its functionality and performance, deploying and implementing it in the education sector, and monitoring and maintaining its effectiveness. The Plonk system is based on zero-knowledge proof technology, identity provider verification, and digital signature verification. Simulation data is used to compare the transaction throughput of the Plonk system with Ethereum, a well-known blockchain platform. The results demonstrate that the Plonk system outperforms Ethereum in terms of transaction processing speed, security, privacy, scalability, verification speed, and cost-effectiveness. Additionally, a response time dataset is created for both the Plonk system and Ethereum under different user load scenarios, and statistical measures such as average response times and standard deviations are calculated. The analysis shows that the Plonk system exhibits lower response times and variability compared to Ethereum, indicating faster and more consistent transaction processing. Overall, the Plonk system shows the promising potential for enhancing the security, privacy, and performance of blockchain-based DIVMS in the education sector.