A LE-controlled 4D non-degenerate hyperchaotic system and STP-CS model based efficient image encryption algorithm

Abstract Restricted by the environment and hardware equipment resources, existing chaotic systems have shortcomings such as low complexity, low randomness, and chaotic degradation phenomena, which in turn cause the security risks of chaotic image encryption algorithms. To overcome these issues, this paper proposes a method for the construction of a LE-controlled four-dimensional (4D) non-degenerate discrete chaotic system. Numerical analysis has demonstrated that the developed system possess high complexity and unpredictability. Based on the developed chaotic system, an image compression encryption algorithm is proposed. Wherein, semi-tensor product compressed sensing is applied to allow data compression sampling in different dimensions resulting in reducing the data transfer load and storage cost. Subsequently, the positions and values of the image pixels are secretly altered during the algorithmic encryption process using two-dimensional cat confusion and finite field diffusion. The simulation results show that the proposed encryption algorithm effective enough to offer great encryption quality. The performance comparison analysis indicates that the proposed encryption algorithm has good furnishes better security, compression, as well as resistance to diverse data attacks.