Elliptic curves and cryptography – Complete Phd and Masters Thesis

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Table of Contents:

Chapter 1: Introduction
1.1 Background of the Study
1.2 Problem Statement
1.3 Objectives of the Study
1.4 Research Questions
1.5 Significance of the Study
1.6 Limitations of the Study
1.7 Scope of the Study

Chapter 2: Literature Review
2.1 Overview of Elliptic Curves
2.2 Applications of Elliptic Curves in Cryptography
2.3 Previous Studies on Elliptic Curves and Cryptography
2.4 Gaps in Literature

Chapter 3: Research Methodology
3.1 Research Design
3.2 Data Collection Methods
3.3 Data Analysis Techniques
3.4 Sampling Strategy
3.5 Ethical Considerations

Chapter 4: Discussion of Findings
4.1 Analysis of Data
4.2 Interpretation of Results
4.3 Comparison with Previous Studies
4.4 Implications for Practice

Chapter 5: Conclusion and Summary
5.1 Summary of Findings
5.2 Conclusion
5.3 Recommendations for Future Research

Brief Overview of Thesis “Elliptic Curves and Cryptography”:

Elliptic curves have gained significant attention in the field of cryptography due to their effectiveness in providing secure communication over networks. This thesis aims to explore the applications of elliptic curves in cryptography and investigate their potential implications for information security.

The introduction section provides background information on elliptic curves and cryptography, highlighting the importance of this study in addressing security challenges in modern communication systems. The objectives of the study are outlined, along with the research questions that will guide the research process.

The literature review section explores existing studies on elliptic curves and cryptography, identifying gaps in the literature that this thesis aims to address. The research methodology section outlines the design and methods used in the study, including data collection and analysis techniques.

The discussion of findings section presents the analysis of data collected, interpreting the results and comparing them with previous studies. The implications of the findings for practice are discussed, highlighting the potential benefits of using elliptic curves in cryptography.

In conclusion, this thesis summarizes the key findings and recommendations for future research in the field of elliptic curves and cryptography. Overall, this study contributes to the growing body of knowledge on the applications of elliptic curves in enhancing information security.

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