Zero-knowledge succinct non-interactive arguments of knowledge (zk-SNARKs) for verifiable computation – Complete Phd and Masters Thesis

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Introduction:

Zero-knowledge succinct non-interactive arguments of knowledge (zk-SNARKs) are cryptographic protocols that allow one party to prove to another party that they have knowledge of a certain statement without revealing any information about the statement itself. This powerful tool has applications in verifiable computation, where a prover can convince a verifier that a computation has been done correctly without the need to rerun the computation.

Table of Contents:

Chapter 1: Introduction
1.1 Introduction
1.2 Background of study
1.3 Problem Statement
1.4 Objective of study
1.5 Limitation of study
1.6 Scope of study
1.7 Significance of study
1.8 Structure of the Thesis
1.9 Definition of Terms

Chapter 2: Literature Review
2.1 Overview of zk-SNARKs
2.2 History of zk-SNARKs
2.3 Applications of zk-SNARKs
2.4 Security of zk-SNARKs
2.5 Efficiency of zk-SNARKs
2.6 Recent advancements in zk-SNARKs
2.7 Challenges in zk-SNARKs
2.8 A comparison of zk-SNARKs with other cryptographic protocols
2.9 Future directions in zk-SNARKs

Chapter 3: Research Methodology
3.1 Selection of research design
3.2 Data collection methods
3.3 Data analysis techniques
3.4 Participant recruitment
3.5 Ethical considerations
3.6 Research limitations
3.7 Research constraints
3.8 Research timeline

Chapter 4: Discussion of Findings
4.1 Overview of findings
4.2 Analysis of data
4.3 Comparison with existing literature
4.4 Implications of findings
4.5 Recommendations for future research
4.6 Practical implications
4.7 Theoretical implications

Chapter 5: Conclusion
5.1 Summary of findings
5.2 Contributions to the field
5.3 Limitations of the study
5.4 Future research directions
5.5 Conclusion

Thesis Overview:

Zero-knowledge succinct non-interactive arguments of knowledge (zk-SNARKs) have emerged as a powerful cryptographic tool for verifiable computation in recent years. This thesis aims to provide an in-depth analysis of zk-SNARKs, including their history, applications, security, efficiency, and challenges. The literature review will cover the current state of research in this area and highlight recent advancements and future directions. The research methodology section will outline the approach taken in this study, including data collection methods, analysis techniques, and ethical considerations. The discussion of findings will present an analysis of the data collected and compare it with existing literature, identifying implications and recommendations for future research. The conclusion will summarize the key findings of the study, discuss contributions to the field, address limitations, and propose directions for future research. Overall, this thesis aims to provide a comprehensive overview of zk-SNARKs for verifiable computation, offering valuable insights for researchers and practitioners in the field.

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