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Table of Contents:
Chapter 1: Introduction
– Background of the Study
– Statement of the Problem
– Research Questions
– Significance of the Study
– Definition of Key Terms
Chapter 2: Literature Review
– Overview of Cryptography
– History of Computational Number Theory
– Existing Research in Cryptography and Computational Number Theory
– Gaps in the Literature
Chapter 3: Research Methodology
– Research Design
– Data Collection Methods
– Data Analysis Techniques
– Ethical Considerations
Chapter 4: Discussion of Findings
– Analysis of Data
– Interpretation of Results
– Comparison of Findings with Existing Literature
– Implications for Future Research
Chapter 5: Conclusion and Summary
– Overview of Key Findings
– Contribution to the Field
– Recommendations for Practitioners
– Limitations of the Study
– Directions for Future Research
Brief Overview on Thesis Cryptography and Computational Number Theory:
Cryptography is the science of encoding and decoding information to ensure its confidentiality and integrity. Computational number theory, on the other hand, involves studying the properties of numbers and their applications in computer science. This thesis explores the intersection of these two fields by investigating how computational number theory can be used to enhance the security of cryptographic systems.
The thesis begins with an introduction that outlines the background of the study, the statement of the problem, and the research questions. The literature review provides an overview of cryptography and computational number theory, as well as a review of existing research in the field. The research methodology section describes the research design, data collection methods, and data analysis techniques used in the study.
The discussion of findings chapter presents the analysis of data, interpretation of results, and comparison of findings with existing literature. The conclusion and summary chapter offers an overview of key findings, the contribution to the field, recommendations for practitioners, limitations of the study, and directions for future research.
Overall, this thesis aims to provide valuable insights into how computational number theory can be leveraged to enhance the security of cryptographic systems. By bridging the gap between these two disciplines, the study paves the way for future research in this exciting and evolving field.
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