Design and Cryptographic Implementation of an Evolutionary Digital Chaotic Model

Chaotic maps have attracted wide attention in the field of cyberspace security. However, many shortcomings of chaos-based applications stem from the dynamic degradation. In this article, an evolutionary digital chaotic (EDC) model is proposed to overcome this problem. Using the especially designed mutation sequences, the EDC model can generate non-degenerate chaotic maps on digital devices. The effectiveness of the EDC model is proven through theoretical analysis, and further numerical simulations confirm the superiority of the chaotic maps generated by the EDC model in terms of the dynamical characteristics. This suggests that the EDC model can significantly contribute to the promotion and confidence in chaos-based applications. Moreover, a dynamic xorshift operation is proposed to bridge the gap between chaotic characteristics and security. To investigate the practical application, a general scheme for constructing the pseudorandom number generator (PRNG) is designed. Performance analyses demonstrate that the PRNG has a powerful ability to produce high-quality pseudorandom sequences in different implementation precision.