A novel pseudo-random sequence generator for cryptographic applications using logistic map variants with dynamic thresholding

This paper presents an innovative approach for generating pseudo-random sequences for cryptographic applications, utilizing a modified logistic map and a dynamic thresholding mechanism. The generator is defined in terms of a logistic map, where the logistic function value is decomposed into binary values based on a dynamic threshold. A dynamic thresholding technique is introduced to convert the continuous chaotic outputs into binary sequences, ensuring better balance and reduced bias. Analytical and experimental evaluations show that this approach enhances the randomness of the generated sequences while maintaining simplicity and efficiency. Its lightweight nature and high efficiency make it especially suitable for resource-constrained environments such as IoT devices, where secure and efficient cryptographic solutions are critical. The combination of chaotic systems and dynamic thresholding showcases the potential of this approach as a lightweight, efficient, and secure solution for cryptographic sequence generation in modern applications.