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Introduction

Zero-knowledge succinct non-interactive arguments of knowledge (zk-SNARKs) have emerged as a powerful cryptographic tool for verifiable multi-party computation. In this thesis, we explore the application of zk-SNARKs in facilitating secure and efficient multi-party computations where parties wish to jointly compute a function on their private inputs without revealing them to each other. By utilizing zk-SNARKs, parties can prove the correctness of their computations without revealing any information about their inputs, ensuring privacy and confidentiality in the computation process.

This thesis aims to provide a comprehensive understanding of zk-SNARKs and their application in verifiable multi-party computation. The research will delve into the background of zk-SNARKs, present the problem statement, outline the objectives, discuss the limitations and scope of the study, highlight the significance of the research, and provide a structure for the thesis. Moreover, the thesis will define key terms and concepts relevant to the study in Chapter 1.

Chapter 2 will consist of a literature review that examines existing research on zk-SNARKs, multi-party computation, and related topics. This chapter will provide a comprehensive overview of the current state of the field, identify gaps in the existing literature, and lay the groundwork for the research methodology that will be employed in this thesis.

Chapter 3 will focus on the research methodology, detailing the approach, data collection methods, data analysis techniques, and tools that will be used to achieve the research objectives. This chapter will also discuss potential challenges and limitations that may arise during the research process and propose strategies to address them.

Chapter 4 will present the findings of the research, analyzing the application of zk-SNARKs in verifiable multi-party computation and evaluating their effectiveness in ensuring privacy, security, and efficiency in multi-party computations. This chapter will also discuss the implications of the findings and their relevance to the broader field of cryptography and secure computation.

Chapter 5 will conclude the thesis by summarizing the key findings, discussing the contributions of the research, and outlining potential directions for future research in the field of zk-SNARKs and verifiable multi-party computation.

Overall, this thesis aims to advance the understanding of zk-SNARKs and their role in enabling secure and efficient multi-party computations. By leveraging the power of zk-SNARKs, parties can collaborate on computations while preserving the privacy and confidentiality of their inputs, opening up new possibilities for secure multi-party computation protocols.

Thesis Overview on Zero-knowledge succinct non-interactive arguments of knowledge (zk-SNARKs) for verifiable multi-party computation

Zero-knowledge succinct non-interactive arguments of knowledge (zk-SNARKs) have gained significant attention in recent years for their ability to enable secure and efficient multi-party computations. In this thesis, we will explore the application of zk-SNARKs in verifiable multi-party computation, where parties collaborate on computations without revealing their private inputs to each other.

The thesis will begin by introducing the concept of zk-SNARKs and their relevance to multi-party computation. We will then delve into the background of zk-SNARKs, discuss the problem statement, outline the objectives of the study, and highlight the limitations and scope of the research. Additionally, we will explore the significance of the study and provide a detailed structure for the thesis.

The literature review in Chapter 2 will analyze existing research on zk-SNARKs, multi-party computation, and related topics. This chapter will identify gaps in the literature and lay the groundwork for the research methodology that will be employed in this thesis.

Chapter 3 will focus on the research methodology, detailing the approach, data collection methods, analysis techniques, and tools used to achieve the research objectives. This chapter will also discuss potential challenges and limitations in the research process and propose strategies to address them.

In Chapter 4, we will present the findings of the research, analyzing the application of zk-SNARKs in verifiable multi-party computation and evaluating their effectiveness in ensuring privacy, security, and efficiency in collaborative computations. We will discuss the implications of the findings and their broader relevance to the field of secure computation.

Finally, Chapter 5 will provide a conclusion and summary of the thesis, highlighting the key findings, contributions of the research, and potential directions for future studies in zk-SNARKs and verifiable multi-party computation. Through this thesis, we aim to advance the understanding of zk-SNARKs and their role in enhancing the security and efficiency of multi-party computations, paving the way for new developments in secure collaborative protocols.

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