NumCrypTech: A Matrix-Based Cryptographic Model Leveraging Numerical Analysis for Secure Data and File Transmission

Abstract Cryptography plays a fundamental role in safeguarding information in the digital era. This paper presents NumCrypTech, a web-based encryption platform that integrates classical cryptographic principles with numerical analysis techniques to deliver secure and user-friendly data protection. The system applies modular arithmetic and concepts from number theory within a matrix-based framework to achieve strong encryption while maintaining computational efficiency. Implemented using HTML, CSS, and JavaScript, NumCrypTech provides an interactive and intuitive interface, enabling users to encrypt and decrypt text and files seamlessly. In addition to its security functionality, the platform emphasizes education by incorporating dynamic visualizations that illustrate the mathematical operations underlying cryptographic processes, including modular arithmetic and prime-based algorithms. This dual approach bridges the gap between theoretical cryptography and practical application, making advanced concepts more accessible to learners while ensuring real-world usability. Designed for both educational and security purposes, NumCrypTech empowers users to experiment with multiple encryption techniques and understand their mathematical foundations. The project highlights the potential of integrating numerical analysis with applied cryptography to enhance digital security, offering a practical solution for secure communication and a valuable tool for cryptography education.