Studying the applications of number theory in cryptography – Complete Phd and Masters Thesis

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Table of Contents

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

Chapter 2: Literature Review
2.1 Overview of Number Theory
2.2 History of Cryptography
2.3 Applications of Number Theory in Cryptography
2.4 Current Trends in Cryptography
2.5 Gaps in Existing Literature

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

Chapter 4: Discussion of Findings
4.1 Analysis of Research Results
4.2 Comparison with Existing Literature
4.3 Implications of Findings
4.4 Recommendations for Future Research

Chapter 5: Conclusion and Summary
5.1 Summary of Findings
5.2 Conclusion
5.3 Contributions to the Field
5.4 Practical Implications
5.5 Suggestions for Further Research

Brief Overview:
The thesis “Studying the Applications of Number Theory in Cryptography” explores the integration of number theory principles in cryptography. The study aims to investigate the effectiveness and security of cryptographic systems utilizing number theory concepts. The research will delve into the history of number theory and cryptography, analyze current applications, and identify potential gaps in existing literature. Through a comprehensive literature review and research methodology, the study will provide valuable insights into the advancements in cryptographic techniques and their practical implications. The findings and discussions presented in the thesis will contribute to the academic understanding of the subject and offer recommendations for future research in the field.

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