Desarrollo de una aplicación web para el cifrado y descifrado de cadenas de texto a partir de la selección de un atractor caótico

Abstract

The present study has to do with the exploration of cryptography based on chaotic attractors, developing a web application intended for the encryption and decryption of text strings using the synchronization of these attractors. The first step of this study involved a detailed review of four chaotic systems to fully understand the formulas of each attractor. Through a combination of mathematical analysis and programming, synchronization of each attractor was implemented in the web application, using the SCRUMBAN methodology, a combination of the agile frameworks Scrum and Kanban. The resulting intuitive and easy-to-use application provides an efficient interface for encryption and decryption of text strings. When evaluating the application, factors such as synchronization, encryption and decryption time were taken into account. Kruskal-Wallis tests, a non-parametric statistical test used to compare three or more independent sets of data, revealed significant differences in synchronization, encryption, and decryption times between the four attractors. In concrete terms, these results suggest that at least one of the attractors studied offers substantially different performance from the others. These findings highlight the potential of chaotic attractors to improve information security in the digital age. Likewise, the work carried out in this thesis demonstrates how the implementation of cryptography based on chaotic attractors can be facilitated through a web application, making it accessible to a broader audience. In summary, this thesis represents an important step towards improving data encryption and decryption methods. The results obtained suggest that the careful selection of a chaotic attractor can have a significant impact on the optimization of synchronization, encryption and decryption times, offering a promising avenue for future research in the field of cryptography.