Zero-Knowledge Proofs for Distributed Ledger Technology

The study focuses on the examination of zero-knowledge proofs (ZKPs) and their role in distributed ledger technologies, particularly in the context of blockchain systems. The work consists of two main chapters, each dedicated to different aspects related to distributed ledger technologies and the integration of ZKPs into the Bitcoin blockchain. The first chapter explores the fundamentals of distributed ledgers, emphasizing the significance of cryptography in ensuring security and confidentiality in decentralized networks. It provides an overview of the key concepts and principles of distributed ledger technologies (DLT), along with an analysis of the role of cryptography in securing and preserving the confidentiality of data in DLT. Special attention is given to the study of the basic principles of zero-knowledge proofs and their classification. The second chapter delves into the practical application of ZKPs in the Bitcoin blockchain. It begins with an analysis of transactional relationships within the Bitcoin network to identify potential vulnerabilities and privacy issues. The chapter then investigates the feasibility and consequences of implementing zero-knowledge proofs in the Bitcoin blockchain. It discusses the technical aspects of integrating ZKPs into the Bitcoin protocol, examines challenges, and evaluates potential impacts on transaction privacy and security. Various research methods were employed throughout the study, including literature review, comparative analysis, statistical analysis, and modeling. The findings contribute to a deeper understanding of zero-knowledge proofs and their role in enhancing the security and privacy of blockchain systems. Additionally, practical recommendations are provided for the integration and utilization of ZKPs in real-world blockchain applications. Overall, this dissertation sheds light on both the theoretical foundations and practical aspects of applying zero-knowledge proofs in distributed ledger technologies, offering new insights and recommendations for advancing this field.