Real-Time Video Stream Encryption Algorithm Based on Four-Dimensional Hyper-Chaotic System and Extended Mapping

The real-time video stream encryption algorithm based on a four-dimensional hyper-chaotic system and extended mapping represents a high-security encryption scheme that integrates chaotic theory with modern cryptography. This algorithm leverages the complex dynamic characteristics of hyper-chaotic systems, including high-dimensional phase space, pseudo-randomness, and extreme sensitivity to initial conditions, resulting in encrypted video streams with enhanced resistance against various attacks. In implementation, the hyper-chaotic system typically involves solving coupled differential equations using numerical methods like Runge-Kutta integration to generate chaotic sequences.

Compared to traditional low-dimensional chaotic systems, hyper-chaotic systems exhibit highly unpredictable orbits across multiple dimensions, significantly increasing the difficulty of cryptanalysis. The extended mapping further amplifies key space complexity through iterative transformations, ensuring that even if partial information is intercepted, reverse engineering cannot reconstruct the original video data. The mapping operations often employ modular arithmetic and bit-level manipulations to achieve thorough confusion.

This algorithm is particularly suitable for real-time video stream encryption, capable of performing frame-by-frame encryption without introducing significant latency. It's ideal for scenarios demanding high real-time performance such as video conferencing and surveillance transmission. The encryption process typically consists of three key phases: chaotic sequence generation (using seed values as cryptographic keys), pixel-level permutation transformations (rearranging pixel positions through chaos-driven indexing), and diffusion operations (applying XOR or modular addition with chaotic values). These stages collectively produce visually completely randomized encrypted video streams.

This encryption method demonstrates outstanding performance against various cryptanalysis techniques including known-plaintext attacks and chosen-plaintext attacks. The algorithm's computational efficiency has been optimized through parallel processing and streamlined operations, enabling smooth execution on standard computing devices while maintaining robust security standards.