APPLICATIONS OF NUMBER THEORY IN DIGITAL COMMUNICATION

This paper demonstrates the important role of Number Theory in digital communication and cyber security. Concepts covered above provide the mathematical principles required to design secure cryptographic systems. The study of RSA encryption showed how these concepts are used for secure encryption, while ATM case study demonstrated the protection of PIN’s and transaction data. Digital signatures provide authentication and data integrity. The Whatsapp case study explained Diffie–Hellman key exchange and demonstrated encryption and decryption using the message "HELLO". The Python programs provide a practical demonstration of RSA and connected mathematical theory with programming. Overall, this paper shows that Number Theory plays a significant role in protecting digital information. Number Theory can be viewed as a powerful bridge between pure mathematics and modern technology, transforming mathematical properties of integers into practical tools for securing digital communication.

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